Living Universe

 

I.  SUPERORGANISM IN SPACE: 5 DIMENSION OF EUSOCIAL ORGANIZATION

II. SUPERORGANISM IN TIME: III AGES.

I. SUPERORGANISM: THE FUNDAMENTAL POINT OF VIEW.

3 HUMAN scales best

In the graph, all systems of the universe are points of view and super organisms  and individuals parts of social herds, which interact through exchanges of energy and information in a single plane. Those 3 perspectives of a being are studied together to fully grasp the nature of any system, as the entire system constantly interact across a certain number of ±∆ planes of existence.

In the graph, we describe the main isomorphisms of Human p.o.vs and our ternary super organic spatial and temporal structure (below). As we are made as all systems of Particles/heads that gauge and perceive information, Tƒ, with limbs/fields, Se, that extract energy of a relative U±2 world, combined in bodies and waves that iterate the system.

Thus all systems have a spatial, topological assembly of 3 organic parts, that will exist causally 3 ages of evolution of its forms through those 3 topologies, and will in the process establish a series of åctions in time, combination of their vital energy and information with the ‘complex world of U±4 planes of existence around it.

In the previous post we study the superorganisms of the Universe from the perspective of its time symmetry or worldcycle.

Yet if the world cycle of life and death and its 3 ages are the ‘time view’ of Universal Superorganisms, its Œi structure as networks of points is its spatial view, and as such the Superorganism embodies both the spatial and temporal, formal and functional organic and temporal meaning of all existences.

Universals then treated as networks become the ‘biggest’ scale of growth possible to any system born in the ∆-1 seed state. As it will finally reach the 10 up to 10 scale that makes it ‘transcend and emerge into a Universal new Plane of existence. Such is the magic number of stars in a spiral galaxy, atomic ties in a DNA, cells in a normal organism, and so on.

We can then talk of a ‘discrete’, scalar game of social groups of 10 elements that evolve in the same plane of existence, the same ecosystem, and as it organizes its numbers finally emerge as a whole being.

And so the study of this game in its spatial and temporal symmetry through the building of its networks of cellular/atomic points, its societies of decametric elements, its horizons and languages of coordination, and so on, is the highest level of ∆ST, of Philosophy of Science, of knowledge about the meaning of it all – from ∆-1 to ∆+1…

Universals are the U∆ Huge Wholes, established by a logarithmic scale on base 10¹º. Thus to make a U∆, a Universal Plane of Existence, we talk of billions and trillions of cells, particles, which become far away points of The U∆, Whole, topological plane.

Unlike societies of lesser numbers of ‘atomic cells’, ∆-points in Universal Planes are quasi infinite. In fact, as they disappear in detail and become ‘points’ only observed externally by science, they become the ‘infinitesimal’ of those wholes, and hence the meaning of infinity, is the whole and of infinitesimal existence, the point-article of the whole, cells in biological systems, atoms in physical systems, stars in cosmological galaxy and so on

For discussing the properties of a system, it is usual not necessary to go beyond one level of substructure.

Turning the table around, we can say that the properties of any elementary particle are hardly discernible in systems which have more than one level of structure.

‘The smallest point is a world in in itself’

Leibniz, on the fundamental particle of Reality: The fractal point=world of space-time.

THE ORGANIC PHILOSOPHY OF ISOMORPHIC, SCALAR PLANES OF SPACE-TIME.

General systems sciences and organicism.

The science that studies the organic nature of the Universe, its planes of space-time and the common laws or ‘isomorphisms’, which exist between them, is called General systems sciences. However it is simpler and more realistic to consider merely the formalism of the 5th dimension of space-time without any prior jargon as that developed by Systems Sciences. Even if we acknowledge the fact that this blog is the only ‘formal’, logic-mathematical model of both disciplines, known commonly the science of Complexity.

There are other efforts worth to notice. Notably the work done in Santa Fe Institute and the congresses of the International Systems Sciences Society, among collaborative efforts and the work of Mr. Troncale at Ponoma U. among individual researchers have tabulated many isomorphisms in the Universe (self similar laws across different disciplines of science, which as it happens are ordered by space-time planes of relative size, hence according to ∆ST metric: fig.2). But collection of data is only the 1st step of the scientific method, which requires to fit data into  a ‘general mathematical and logic model’ good enough to fit new discoveries in different fields – to test its veracity.

In any case since there has been always a ‘Philosophy of Science’, or discipline of disciplines, General Systems can be considered merely the formal attempts to convert into hard science the ‘scientific philosophy of an organic Universe’, as opposed to the other simpler model of a ‘mechanical one’.

And so we could put in both sides – the simpler, more accurate mechanical model vs. the Organic model, most of the thinkers of the past. Mechanism is easier so it has triumphed, Organicism has taken more time to become – still needs a lot to be done – a standardize system.

Thus the 5D model fits all the data of all the sciences of those scales to the extent of the knowledge of this polymath writer. Thus it is probably the better tested model in terms of the Principle of Correspondence and Ockham’s principle (a theory that fits more data in simpler laws, is the most truthful.)

Thus the site studies mainly those 10 isomorphisms in great detail ³.

The whole site, on general systems sciences, when I rewrite it properly, will be a small encyclopedia of all sciences, seen through the focusing, orderly mirror of the 3+3 Dimensions of the Universe, its 9 planes and scales and isomorphisms. I started to do this, in august 2015. Though the work is much older.

While the model was published in a very reduced format  in a series of peer reviewed conferences at ISSS during the last decade, this blog is the place where I will pour 2 decades of independent research in the aforementioned formalism.

You might then wonder why nothing of this is well-known in science (and why this blog i assume won’t change that trend).

In the field of social sciences we explain the anthropomorphic causes. In essence, humans as all systems are ∆-centered, and so they don’t like objective science. They like myths and that make them the center of the Universe. So religions are always more successful. And i attribute to that fact the delay on understanding the 5th dimension: human anthropomorphism. Since the 5th dimension shows an organic, ‘vital’ Universe ruled by Absolute relativity. Since humans simply occupy a relative world-plane of an infinite 5th dimension, self-centered in its point of view, an infinitesimal point with no importance whatsoever, ruled by the same laws that define the form and functions of all other systems and ‘scalar social herds and superorganisms’ .

Thus the ‘organic philosophy’ of the 5th dimension of isomorphic, scalar space time (∆ST), called ‘General Systems Theory (∆ST) ‘ is a philosophy of an organic vital Universe:

“All type of Universal systems can be described as social networks of energy and information. Its similar=isomorphic laws are the content of the formalism of the 5th dimension, from where we can deduce the main laws of each science that studies a relative ‘scale’ of spatial size of the social, organic Universe, from physics which studies its smaller and larger atomic and galactic scales to biology and social sciences which study its intermediate life and human scales.”

 The organic whys of the Universe: The 4th paradigm of knowledge.

A deeper explanation of this work considers the meaning of knowledge and what questions it must answer to exhaust the study of a certain subject. In journalism we ask what, who, how, when and why.

The evolution of science implies big shifts in the paradigms, languages and philosophical dogmas we use to understand the Universe. In the evolution of science we observed first ‘what’ (experience) and then asked ‘who’. It was the mythic age of science, the first paradigm of knowledge – when an anthropomorphic being, often a god was the cause of all events. Then the Greeks used reason to ask the what (experience) and how of things, its causes and consequences. It was the 2nd paradigm of knowledge: logic thought.

The 3rd paradigm started by Galileo with his use of machines (clocks and telescopes), responded to when, measuring space distances and time frequencies in great detail with a single space-time system.

The ticks of the heart, the stomach, the moon, the atom and the clock are different, but to measure them we needed a unit of time and so we equalized all rhythms with a clock, and to compare the spatial trajectories of those cycles we needed a ‘background of space’, so we put together all the broken spaces of reality into a joined puzzle, which we called Cartesian space-time. The error of a single space-time came when we forgot those simplifications and considered that the abstract space-time continuum of Descartes used to measure all other spaces and times was the real space-time.

The culmination of this process of mechanical measure came with quantum theory, which refined the measures of the cyclical trajectories of particles in the microscopic world and General Relativity, which refined them in the cosmological realm by correcting the deformations of those rhythms of time and distances of space caused by the limits of speed of our light-based Universe.

In philosophical terms, the paradigm of measure meant the birth of mechanism, the fundamental philosophy of our world today: the machine – no longer man, an organism – became the ‘measure of all things’.

This was a simplification, as today we realize that machines merely imitate our organs of energy and information with networks of metal-atoms (so a crane is an energetic arm of metal and a chip an informative brain of metal), which now we fusion into ‘organic’ robots. And so the change of paradigm from the Greek, Aristotelian and Asian tradition of organicism to mechanism is only a hiatus on a richer, more complex understanding of the whys of the Universe.

Mechanism changed also the language of understanding of the Universe, from Aristotelian Logic to mathematical Platonism, since mathematics was the language used by machines to measure the Universe of time and space with clocks and telescopes; while logic was the language embedded in the syntax of words, which measure time with causal verbs that describe the logic relationships between its 3 dimensions of past, present and future.

So in terms of philosophy of science, mechanism meant a pendulum law that changed the paradigm from Aristotle (organic, temporal causality) to Plato (mechanical, spatial geometry).

This was a wrong choice, because a truly inclusive theory of reality has to put together both languages and approaches as we shall do in this work: the geometric how & instrumental when matched by a temporal why, which must be by definition a causal, temporal process. The 3rdparadigm obsessed by spatial measure was not very kin of such inquire, as Feynman famously put it: ‘the why is the only thing a physicist never asks’. And yet the why has always been a fundamental question of knowledge.

That why should respond to the existence of a program of creation, evolution and extinction of the reality we see all around us, which always gives birth and extinguishes the same entities, repeating their forms once and again. What is the purpose of the Universe and all its repeated parts?

Why they have those forms and follow always a life and death cycle? Thus, scientists, not satisfied with the limits of the 3rd paradigm of measure kept asking the why, which could not be a personal God (the who of the 1st paradigm), neither the machine, the instrument of measure of the 3rd paradigm (‘God is a clocker’ said Kepler, because he used clocks to measure it and ‘God speaks mathematics’ said Galileo, because those machines translated the events of the Universe into mathematical data).

According to Deism the whys of existence are due to a personal being, external to the Universe that makes it all happen and cares for humans more than for the rest of His work.

According to Mechanism, this is due to the self-similarity between the Universe and the primitive machines we humans construct to observe it. Mechanism though needs ‘someone’ to make the machine, which is not self-generated; so it is similar to deism, reason why the founding fathers of science, all pious believers, adopted it as a proof of the existence of God, which had given man self-similar properties – the capacity to make machines to the image and likeness of the Universe.

The problem with those 2 approaches, which in fact are the same is obvious: a personal God is an anthropomorphic, subjective myth and science must be objective; while a mechanical view of the Universe still needs an internal, self-sustained process of growth, creation and synchronization caused by an external God that made and rewinds the clock – as Leibniz clearly stated in his critique of Newton.

Scientists today are unaware that mechanist theories are in fact deist theories, reason why Kepler and Newton, pious believers, liked them; since they were a metaphor of their self-centered, anthropomorphic religious beliefs: If man created machines because we were made to the image and likeness of God, God had created the ultimate machine, the Universe.

Relational space-time does have a philosophy attached to it, called organicism.

We have gotten to the conclusion that all what exists is a fractal point, which seen in maximal detail appears as a super organism performing a world cycle, whose inner parts are structured as cells of the 3 Se<ST>Tƒ networks of the higher entity. Existence in a Universe of infinite Points of View, Œ, means that we co-exist with at least 2 main infinitesimal and infinite planes of existence, that of our cellular parts and the social world in which we live. Thus we are always at the same time:

  • A cell of a larger social body
  • An organism that tries to survive playing the game of space-time åctions, ∫∂(±∆e,i)dt ds=WU∆±1. that is as an organism we shall make a series of infinitesimal exchanges of energy and information, ∂e,i, which will be sequentially integrated into a world cycle of our U±∆ organism.
  • And finally a super organism or ‘relative God’ as a point of view that controls its territory.

Those 3 points of view from above and below and within ∆±1 become then converted into partial definitions of a system from different points of view. But only when we consider ALL the outsider and inside perspectives of the being we can reach full knowledge of it.

In terms of its analysis we talk of certain ‘isomorphic’ qualities or ‘sets’ of laws that all systems follow and try to embody of the full information of the being the most important of it. Thus we shall talk of the 3 structural isomorphisms of all beings:

  • U∆±1. Its existence through 3 different scales of the 5th dimension, subject to different time rhythms and spatial distances, enclosed in a bigger social system in which it performs its cycles of space-time.
  • U∆; Its existence within a single scale as a super organism that traces a world cycle of existence between birth and extinction, ruled by the ternary symmetry between its spatial parts and time functions and ages.
  • Uo: Its existence as a zero point or ‘will’ of existence which forms together with all its inner parts an ‘island Universe’ constructed along a series of planes of the 5th dimension.

This ternary view of the being, in its world cycles of external, social, internal, organic and mental, perceptive existence, conform the being. How to study them? We consider here a simple set of fundamental laws and properties that will resume the system and we call in the jargon of epistemology, isomorphism of the super organism:

  1. The Existential equation of the being, ‘its metric equation’ in the 5th dimension, which defines it and can be developed in ‘nested’ analysis as much as we want but will be generally written as a function of space-time, of the type Se <ST>Tƒ
  2. The spatial view, and its topological 3 type of organs in space.
  3. Its temporal view, and its 3 ages in time.
  4. Its planes of existence, departing from its o-point of view.
  5. Its Actions of Exchange of energy and information, ±∆e,i that determine the being.

And its zero-point of view ‘analysis’ from any of its multiple perspectives.

For example if we consider a galactic organism we would describe the central black hole or zero point, its gravitational and electromagnetic equations that describe its ‘ST networks’, its Se-star systems and to-dark matter systems; its 3 parts (halo, star disk and black hole center) and its 3 ages in time, between its irregular birth and extinction in a quasar, as well as the 3 ages in time of its upper social scale (types of galaxies which can be considered another game of evolution) and in the lower scale (Sp=M  ages of matter, from plasma to nuclear explosion). And so on.

We can diminish or grow in scales and do analysis of its parts and wholes, according to the ternary and dual symmetries and fractal divisions of parts into wholes and vice versa, always following the rule that in a Universe with only 2 parameters all are symmetries of ‘space’ and ‘time’ or ternary combinations of it.

So in this post and the one dedicated to the isomorphisms of the Universe, we shall describe what laws have in common all infinite infinitesimals, that is, all entities extending across 3 planes of ±∆ existence, in which they perform such roles, and then describe most of the system of the universe with those isomorphisms.

Thus in the next line we study the different super organisms nested between two ±∆ planes of existence, starting by the largest of all known to man the cosmic system between the two limits of our perception, the galaxy and the atom.

Then we study in more details those galaxies and atoms, which conform the astro-physical systems of the Universe.

And descend in the nested stair, to life system, human social systems and finally the U0 human centered mental point of view.

The super organism – the ultimate meaning of the game of existence.

There are 2 forms to describe reality – the physicists’ way, which merely ‘sees’ the Universe, quantifies it and cares little for qualitative and relational meanings. In this view, what matters is to find some ‘fundamental particle, which should have substance and be the ‘brick’ of which all other beings are made. Even if that particle were found though, there would be little to say about the why questions of reality, the temporal causal questions, the past to future meanings of it all? Why we exist? why we are what we are? Are we alone and different? What is the purpose of it all?

Relational space-time and the game of existence all space-time beings of finite duration and finite space follow, is much deeper in its analysis, as it is a time theory not a space one. So it simply states this:

‘ The Universe is a game that creates super-organisms of ∆±1 space and time scales’.

Simple, and both mathematical and conceptual. The meaning of reality is to create super organisms across 3 relative scales of space-time, the best combinations of which, known to man are biological systems (extending through a ∆-1 cellular, ∆-organic and ∆+1, social ecosystemic scales) and physical systems (extending through the quantum, electromagnetic, ∆-1, thermodynamic, i and cosmic, gravitational ∆+1 scales); the one we form part of, the super organism of History is the less understood of them all. But all have a set of common isomorphic laws, which define their existence, structure in space, time ages and place it within the scales of the 5th dimension.

So we can say that the fundamental particle of the Universe is a ±∆ super organism, which extends within the U±∞ scales of reality in 3 of such scales, which co-exist tightly related to each other to form a super organism of space-time ‘Œ±1 points’.

U± infinite, this is the potential of the game and Œ,Æ, i-logic mathematics the language that shows all those potentials as a mere logic shape of information, a still mapping of the Universal game.

But in most cases the system is just U±∆, a super organism. This is the logic game the Universe plays, the construction of Universals from infinitesimals. Then all the other games are details of this one. Thus we should consider the queen of all sciences biology, and the fundamental particle of the Universe once we have all the information about a region’s domain of vital space and cyclical times, the super organism:

 

 SOCIAL NETWORKS: SUPER-ORGANISMS.

5D best

image002

All Stiences share the isomorphisms of duality and organicism. Since the forms of ‘—motions’ and information and its properties remain invariant in all the scales of reality. The result is the fractal structure of the Universe, described in the next graph:

Each science studies a ‘scale of organic size’, its cellular species of ‘—motions’ and information and its arrows of time and events, which culminate in the self-organization of those parts into social wholes. Yet the proportion of ‘—motions’ and information of the species each science studies varies, since the Universe displays a hierarchical arrow of growing informative time, from the simplest forms of mathematical space (with minimal informative content), to the complex information of its most evolved organisms (with minimal geometrical regularity).

 

Networks.

The Universe constructs super-organisms, through a causal process, departing from simple, amorphous flat surfaces of energies – herds of Non-Euclidean points with |-Motion.

It is a simple ternary causal event, which is different from the causality of what we call the cycle of life, Sp->X->Tƒ, yet still an essential chain that we shall see constantly in the Universe.

So the next question is how the universe constructs reality, departing from its generator equation. And the answer is: constructing superorganisms, in a causal order.

A form fractalizes, becomes in-formed, and loses ‘—motions’= speed=motion. For example, a line becomes a Koch fractal or breaks into a Cantor dust of self-similar cells; a line becomes a p∆-cycle. In this, simplest and most repeated Sp->Tƒ, we can write 1->3>Pi: a line has reproduces from past to future 3 self-similar motions, then it coils into a p∆-cycle.

The next stage would be then the reproduction of that cycle in a lateral, new dimension of height. In this manner, we have obtained 3 fractal iterations: the line has become a cycle (or a Koch curve or any other fractal topology with more form and dimensions), which has become a tube.

If duality covers simple events, mostly Sp<->Tƒ combinations, when we construct an organism we are playing at least with a causal 4-sequential arrow of time, ‘—motions’ becomes fractal information, which reproduces laterally and so the light of length-speed becomes a time cycle with rotational speed w, whose frequency curries more information, and such form moves like a Maxwell scree reproducing in the 3 dimension of width.

And yet, this rather mechanical sequence of creation of a fractal 3 dimensional Universe becomes far richer in forma and meaning when we add the 4th Eusocial love, of Social time the longest arrow that finally creates a form of stable space-time that exists, a superorganism: SP X Tƒ. Since as time goes by, entities evolve into more complex organisms by the power of love – by sharing ‘—motions’ and information in social networks. The 4th arrow of time evolves socially parts into wholes, waves, herds and organisms:

Particles gather into atoms that evolve into molecules that associate into cells that gather into organisms that create social networks – planetary ecosystems, which are part of solar systems, herded into galaxies that form Universes. Those processes of social evolution occur thanks to the creation of social networks among self-similar (hence reproduced) beings, in search of the same type of ‘—motions’ (hunting herds) or information (organisms joined by nervous/informative and blood/energetic networks). Thus, the arrow of organic evolution derives from the arrow of information that allows entities to come closer and ‘act in parallel’ under the command of an informative language, which we formalize with the social symbol, S. And its reason of existence is to elongate the survival of the organic system: Any cyclical vortex of time accelerates inwards, losing ‘—motions’/surface as it increases its informative speed. When we generalize that concept to all Time-space systems, it turns out that the arrow of information dominates the universe, wrinkling and warping any cyclical system, which will exhaust its ‘—motions’, converted into form.

Thus, our time clocks and vital spaces increase constantly their information, diminishing its ‘—motions’ space, towards a 3rd age of excessive warping and limited ‘—motions’ that will not last forever. Since the cycles of exchange of ‘—motions’ and information, the geometric beats of reality between expansive and implosive, ‘—motions’ and informative states, are limited in their repetitions by accidental errors of all kind, which establish the need for reproductive and social arrows in order to ensure the survival or immortality of those ‘patterns of form’ – entities made of lineal fields and bodies of ‘—motions’; cyclical particles and heads of information, who must be reproduced to ensure a longer existence. This means that only those species able to increase their existence in time by reproducing its form and in space by evolving socially into bigger entities survive.

Recap: The 4 main arrows of time cannot be reduced without losing detail, but they can be philosophically and ‘bio-logically’ grouped as ‘organic systems’. Those organic systems that synchronize accumulate and organize clock-like arrows of cyclical time, are in fact all self-similar, as all can be described with the 4 elements, ∑Sp<=>Tƒ of organisms: cells, networks of ‘—motions’ and information and reproductive systems.

Super-organisms: knots of cyclical Time Arrows.

We are all made of spatial ‘—motions’, flows that seem to occupy space but are ‘vital space’ and have a ‘causal why’. For that reason, all species participate of the geometric and causal properties of the arrows of ‘—motions’ and information and follow the same patterns of self-organization to create a higher ‘space-time plane’ of reality. So, for example, all informative systems will be on top, in the dimension of height; they will be smaller than the complementary ‘—motions’ system and they will have cyclical form, regardless of the species we describe. So DNA nuclei are round and smaller than the cell’s body, heads and antennas are on top and are cyclical and smaller than the body or tower that holds them, cameras are small and spherical, etc.

Since, once we understand the fractal, scalar structure of the Universe, the old distinction between organic and inorganic form loses its meaning, beyond its anthropomorphic role of making man the only intelligent, vital species of the Universe.

The complex logic and Non-Euclidean geometry of those knots of Time Arrows set the formal basis to understand the structure of the Universe and all its self-similar parts. Since:

‘The Universe and all its parts are fractal entities of ‘—motions’ and information.’

Though the specific combinations of ‘—motions’ or information of each species – defined by its ‘vital’ or physical, Universal Constants (‘—motions’/information ratios) – might vary, the space-time structures and cycles of all those social organisms will be self-similar: All entities are ‘cellular societies’ organized through ‘—motions’ and information networks that bring about processes of social evolution.

In all species studied by science a common phenomenon occurs: the existence of parallel groups of beings organized into a single social form. Molecules are made up of atoms and electronic networks; economies are made up of human workers and consumers that reproduce and test machines, guided by financial networks of information (salaries, prices, costs); galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole of gravitational information. Human bodies are organized by cells controlled by the nervous, informative system.

A tree is a group of leaves, branches and roots connected by a network of ‘—motions’ (salvia) and information (chemical particles). Cultures are made of humans related by verbal, informative isomorphisms and economic networks that provide their ‘—motions’.

Stiences study those organic systems, tied up by networks of ‘—motions’ and information. In the graph, we see the main st-planes studied by human sciences and their 4 main time arrows, Sp<=>Tƒ, which in static space give birth to the ‘organic elements’ of all species: social cell of ‘—motions’ and information and the reproductive networks that relate them. Thus, there are 4 basic elements in all organic systems:

  • Cellular units.
  • Networks of ‘—motions’ or vital space.
  • Networks of fractal information.
  • Networks that reproduce ‘—motions’ and information.

All entities are generated by reproductions and transformations of ‘—motions’ and informative cycles (ΣS<=>Tƒ), organized in cellular units, through networks, and ±∆ Planes of self-similar forms. Yet, since those cellular units ∆-1 are made of smaller st-2 cells, which show the same structure, we can define any organic system as a super-organism (made of smaller, self-similar super-organisms):

‘A super-organism is a group of cellular super-organisms joined by energetic, informative and reproductive networks.’

Thus we unify the properties of Universal Systems and the sciences that study them under a single template definition, according to which simple systems and complex organisms will differ only in the degree of ‘completeness’ of its networks and the specific ‘—motions’ or information they are made of:

‘A super-organism is a network composed of a population of (name a particular cell or cycle), related by an energetic, reproductive or informative arrows.

A fractal organism (name an organism) is a population of iterative (name a cellular species), related by informative (name a language or informative force) and ‘—motions’ networks (name a kind of ‘—motions’), which combine into a reproductive network that iterates the organism.

A universal ecosystem (name a specific ecosystem) is a population of several (name the species), related by informative languages (name their languages or informative forces) and ‘—motions’ networks (name the energies).’

Fill the gaps with a specific species, language/force and ‘—motions’ and you can define any network-organism in the Universe. While if the system is composed of several species that occupy the same space but have different networks of ‘—motions’ and languages of information, we talk of an ecosystem:

– An atomic organism is a population of (electronic) ‘—motions’ and (nucleonic) information, related by networks of (gravitational) information and (light) ‘—motions’.

– A molecular organism is a population of atoms, related by networks of gravitational ‘—motions’ and networks of electromagnetic information (orbitals, London, Waals forces).

– A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and genetic information (DNA-RNA.)

– A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and ‘—motions’ networks (digestive and blood systems).

– An animal ecosystem is a population of different carbon-life species, related by networks of light information and life ‘—motions’ (plants, prey).

– A historic organism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life ‘—motions’.

– An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc.).

An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic isomorphisms while economic ecosystems use digital prices) and include 2 different species: human beings and machines.

– A galaxy is a population of light stars and gravitational black holes, related by networks of gravitational information and electromagnetic ‘—motions’.

-A Universe is a population of galaxies joined by networks of dark matter and ‘—motions’.

We establish thereafter a parameter of multiple space-time complexity, st=∆, to classify all those relative scales of spatial ‘—motions’ and temporal information of the Universe, starting by the simplest scales, st=0 (mathematical cycles and lines), st=1 (Gravitational space), st=2 (electromagnetic space), st=3 (atomic particles) and so on, till reaching the most complex, macro-structures of the Universe (st=9, galaxies).

This parameter becomes essential to formalize a type of scientific isomorphisms widely ignored by science, which define the interåctions between several scales of reality. In physics:

– Between the small quantum scale of electroweak forces and the bigger gravitational space-time.

– In biology between the cellular microcosms, the individual organism and the ecosystems or societies in which those organisms exist, as individual ‘cells’ of a bigger whole – the species. Since those relationships are essential to explain all kind of natural and social phenomena, from the life/death cycle (in which cells reproduce, organize socially in networks, emerge as individuals of herds and societies, and die, dissolving again their complex ‘st’ networks into ∆-1 cells), to the meaning of religions, in which humans act as mental cells of a subconscious collective we call God.

At present though, each science studies only one scale of form and its specific isomorphisms and events, as if they were unrelated to the isomorphisms of all other scales and species. Only System Stiences, the philosophy of science considered in this work, studies together the mathematical, morphological and biological isomorphisms that define the 4 main arrows of time and apply those isomorphisms to all the species of each of those scales, since the Isomorphisms of Multiple Spaces-Times are common to all of them, regardless of the ‘specific’ qualities of each species:

– All species in the Universe absorb ‘—motions’, gauge information (even particles, reason why their theories are called gauge theories), reproduce (quarks absorb ‘—motions’ and reproduce jets of ‘quarkitos’; so do electrons that absorb ‘—motions’ and break into a shower of new electrons, and since those are the two basic particles of reality, it follows that all systems can be reproduced), and finally, all entities of the Universe evolve socially, gathering together into bigger super-organisms, from particles that become atoms that become molecules that become cells that become living organisms that become societies, nations and religions, super-organisms of History.

Thus Super-organisms are made of:

– Relative ‘—motions’ and information units (ΣSe, ∏Tƒ), whose cycles/cells of transformation are described by feed-back equations

– 3 dimensions/physiological networks of ‘—motions’, information and reproduction (ΣSp∆-1,<=>, ∆).

– Their ±∆ social Planes that ad ∆-1 cells into ΣExist-ential wholes, parts of a bigger Existential ∆+1 whole.

Recap: The 2 primary arrows of time, ‘—motions’ and information are geometrical, and its properties can be studied with the isomorphisms of mathematical physics; while the 2 complex arrows of time, reproduction and social evolution are biological, explained as ‘strategies of survival’ that ensure the immortality of the logic systems of the Universe.

The shapes of ‘—motions’ and information are ‘invariant at scale’, meaning that cycles of information on one side and forces of lineal ‘—motions’ on the other side, reproduce their shapes and gather together into bigger, cellular, social networks, creating dual entities, made of ‘fields/bodies of ‘—motions’’ (physical/biological jargon) and ‘particles/heads of information’, (Principle of Complementarity). All systems of the Universe are complementary, formed with a region dominant in ‘—motions’ arrows (body or force) and a region dominant in information cycles (particle, head). Those dual, social, whole entities have more ‘—motions’ and last longer in time than individual parts. Thus, species with a limited vital space and time duration ensure their immortality by expanding its size in space and its duration in time, as parts of bigger ‘—motions’/information systems.

The 3 scales of complexity of beings.

The Universe is a binary->ternary system, made of 2 polar elements, which exchange energy and information through a present flow. And so whenever we see ‘something’, the best way to study it, is to analyse its 2->3 elements, ‘first’ and then try to formalise them with i-logic equations. But this binary and ternary structure has 3 ‘different’ architectonical ‘levels’ of complexity.

The simplest events will be merely ST-actions that combine or switch between space and time states, as systems move and perform those ±∆e,i actions.

Then we shall find the next integral stage, when actions are observed to come from a given knot of space-time cycles, resumed in Œ an existential point, EO, in its space-still perception, or an existential function, in its time-moving perception.

And finally we shall integrate Œ-points along a world cycle of existence within an external absolute space-time World, either a super organism in which the point exists, or a larger world in which it performs those actions.

Again we observe this 3-multilayered structure, which we describe as the U∆±1 co-existential architecture of al entities.

Now, since the first of those layers corresponds to spatial motions (we see it externally as the point traces its space-time cycles), it relates to geometry; since the second element relates to the world cycle of existence of the being, it relates to time algebra, and since the 3rd element deals with the evolution of infinitesimals into U∆+1 worlds or super organisms, it relates to Analysis.

If we were to use a more technical jargon, in the 5th dimension the ‘invariant’ forms of entropic space and informative time that do not change are called morphological properties or ‘topologies’.

So for all informative systems, from particles to heads to black holes have spherical form, since the sphere is the form that stores more information in lesser space.

And all entropic systems from limbs to light fields are lineal, since the line is the shortest distance between points.

So we talk of the isomorphism or invariance of topological form in all scales.

There are 5 main co-invariances or Isomorphisms in the 5D Universe, which is one of the key subjects we study in the 5th dimension to describe the Pantheist Universe, in which we are all ‘fractal parts’ of energy and information made to the image and likeness of the whole. The only known to 4D science is the invariance or isomorphism of motions.

We consider here the 4 other, far more meaningful ones.

  • The isomorphism of the ‘3 topological varieties of fractal space’
  • The isomorphism of the 3±∆ time ages and worldlife cycles of all systems
  • The isomorphism of the 3±∆ sT actions they perform.
  • The isomorphism of zero point minds that order reality

We shall try in this article to explain them, to resolve further questions of science illuminated by the wider perspective.

And so when you finish reading this post in progress you will come to the conclusion the Universe is a pantheist universe where all entities from the smallest to the biggest one are similar as they follow those invariances or isomorphisms.

The fundamental of which is the essential fact that all beings go through a life/death cycle with similar properties.

A point has one dimension which grows as we come closer to the point till it becomes a world in itself. Thus we can perceive the point with different Magnitudes that accumulate perspectives, external and internal motions of the point, seen in space as dimensions or in time as motion The result is most often a series of combinations called momentums and energies and informations In the jargon of physics angular and lineal momentum, and vortices of attractive forces closely resemble the nature of cyclical and lineal motions of time.

In other systems the importance being the transfer of information, forms are more complex and we do not find so easily the regularities.

The 5th dimension studies the ‘fractal, scalar’ structure of the Universe of which we, all its parts, which occupy a vital space and last a finite time, are made. All those ‘vital space-time beings’ are organised in different scales of size (so we are made of cells and form part of a global society, matter is made of atoms, and forms part of planets and stars that form part of galaxies and so on. How to order all those scales in a meaningful way?

We can do so by putting them together in a ‘fifth dimension’ of space-time: the dimension of relative size in Space, Se, and relative speed of time clocks, To, which evolve in scalar opposite ways, when we become ‘bigger’ or ‘smaller’. So smaller systems tick faster its clocks and carry more information in the frequency and form of its cycles, than larger beings.

A fact that we write as a metric equation, Sp x Tƒ = ∆(Ei), since the product of both parameters remains constant, (Laws of conservation of energy and information)  a fact that allows the interaction between ‘different scales of reality’ from the atom to the galaxy from the cell to the planet.

Those facts explain all type of phenomena, from the life-death cycle that happens in 3 scales (the cellular seminal scale, the human and the social one), to the Unification equation that puts together the quantum, electromagnetic and cosmic gravitational scales. It is indeed a fascinating subject, a much more advanced philosophy of science than the simplex mechanism of Physicists, which dates back to the work of Kepler, who said, ‘the Universe is a clock and God has waited 5000 (biblical years) to find a person (him) who understands it’ marvelled by his mechanical clock of measure.

Since indeed, a machine NEEDS A MAKER, a God, and so Newton, a pious believer who dedicated more time to biblical studies than physics, also validated the model. Only organisms are self-sustained, self-reproductive, and self-organised… That is why if we take seriously the laws of truth of science, we need an organic model.

The scales of energy and information networks: The fractal Universe.

The previous definition of a super-organism unifies all sciences as particular descriptions of each kind of organic systems. Why there are then so many sciences, if all in the Universe is a system or superorganism of temporal information and/or spatial energy that participates of the same laws?

The answer is that human subjectivism has used many jargons that divide those sciences, itifying most superorganisms with abstract concepts to downgrade them respect to man, the most ‘intelligent and organic species’. For example, the abstract jargon of “space-time”, synonymous of the organic jargon of “energy-information”, differentiates physics from biology; the ‘organic Vs. inorganic’ erroneous denomination of atoms has divided chemistry from bio-chemistry, etc.

Those artificial divisions are solved by a General Systems Theory that becomes the ‘science of sciences’ based in the 2 quantic universal substances, energy and information, its networks, and laws of transformation and social evolution that give origin to all Universal super-organisms and can be formalized using the Generator Equation of Space-Time. The smallest networks of the size of a Planck scale have evolved its information and grown in spatial size through the creation of networks that put together quantic cells into social macro-organisms.

Thus individuals become universals, which act themselves as individuals of bigger super-organisms, in a scale of growing forms that creates the complex, fractal Universe, departing from the simple particles born in the big-bang:

So strings of electromagnetic energy and spins (knots of gravitational mass) form the space-time network that evolved into the 2 fundamental particles, informative quarks and energetic electrons. Then groups of quarks and electrons became the informative and energetic network of atoms. Groups of atoms became molecules. Groups of molecules became cells.

Groups of cells became living systems. Groups of living systems became societies.

Groups of societies became nations. Groups of nations became global planets.

Groups of planets became solar systems. Groups of solar systems became galaxies.

Groups of galaxies become Universes. Groups of Universes become the Hyper-Universe.

The stair ends for our perception, though it might go forever into micro and macro-scales, since the equations of Strings, the microscopic and macroscopic forms of the Universe are equal regardless of scale. Thus we exist in a fractal, social, organic Universe.

Where the total Universe is defined as a Game of Existence and Extinction of infinite super-organisms that communicate information and energy among them. Each species of a certain energy size and informative range is studied by a science. So we classify all different sciences as ‘human descriptions’ of certain universal space-time systems.

Each science studies Super-organisms with a certain range of volume of information and energy or TxS relative force. Physics studies microcosmic atoms; chemistry studies molecules; biology studies the forms of ‘carbon-life’ with a size similar to man. Since man is also a specific superorganism with a specific range of perception of other universal Non AE systems, from microcosmic quarks to galactic macrocosms. History and religion study the social macrocosms of man (tribes, nations, subconscious collective networks of ethic information called Gods, etc.). While Astronomy studies the Universal microcosms.

In that regard, the parallel form and behavior of the species in the limit of our perception, microcosmic atoms (Physics) and macrocosmic masses (Astronomy), proves that the same laws rule all the species of the Universe. Further the key to their morphology and function is the temporal energy they absorb, carried either by Gravitation or by ¥-rays, 2 forces of energy and information with parallel morphologies, which have a range of sizes so wide that make possible superorganisms in all scales.

 

The transcendental arrow of the 5th dimension: Emergence.

In the same manner that the sum of multiple reproductive cycles gives birth to the generational arrow, the product of multiple networks of informative beings gives birth to the transcendental arrow of the 5th dimension that makes parts emerge into wholes, such as:

∏∑² informative particles: ∏ Social networks: Transcendental arrow.

Thus a new dimension of time is the social evolution of organisms into bigger super-organisms, scale after scale, from particles to atoms to molecules to cells to organisms, to superorganisms to the entire Universe with its infinite scales.

Though each organism is when observed in detail a super-organism, if we were to consider a rigorous distinction between both, the difference would be of our detail of perception: a super-organism observes each of its cells as an organism of smaller ‘cellular element’ and an organic view stops in the analysis of its cells.

A fact, which leads to a metaphysical question: it is transcendental arrow infinite in scales; or it is as all other dimensions a finite dimension? Unfortunately an argument on the number of scales of the Universe will always be theoretical, because unlike the other dimensions we cannot observe the absolute totality of space extensions and informative, scales created through time durations to have any experimental evidence of such limit. The Transcendental dimension, the dimension of emergence, studied by the ‘science of emergence’ or transcendental arrow, as it is often not perceived, especially for the individuals who become part of the whole; believers that form part of an eusocial human organism through the arrow of love; physicists, who don’t see the super-organisms of galaxies, etc.

The difference between the transcendental arrow and the organic arrow is subtle. Unlike organic systems mediated by the 4th arrow, the transcendental arrow is far less brutal than the stick and carrot system by which the informative, nervous systems of organisms dominate the cells of its body; in as much as it implies a high degree of homogeneity and collaboration between the parts that transcend.

In that regard, we could consider that the social arrow forms ‘herds’, waves and bodies, while the transcendental arrow is the arrow that puts together complex, informative particles together, and while the arrow of organic evolution would be based in the concept of ‘safety’, the transcendental dimension will be based in the concept of love, as the particles know each other more intimately, and in certain cases can even become fusion in a boson structure, in which all occupy the same space.

Thus the difference between the Generational and Transcendental arrows and its fractal units, the arrows of Reproduction and Organic Evolution is minimal and that self-similarity brings about some philosophical, metaphysical conclusions:

-As in a succession that converges with less difference between terms, the convergence of time arrows seems to indicate that there are no more ‘dimensions of reality’ beyond the Transcendental arrow.

-The Transcendental and generational arrow seems to act, ‘reinforce’ each other, as the generational limit obliges species to evolve into eusocial organisms if they want to survive, hence ‘transcendence’ is the ultimate mechanism of survival in the Universe. In the same manner the Simplex and Complex arrows are intertwined as one cannot exist without the other. Such is the harmony of all the systems of an interconnected Universe.

– The more complex arrows of time seem to create more perfect worlds. If we assign to each arrow a sensation and/or its negative lack of it, blindness vs. perception =information; hunger vs. taste=‘—motions’ feeding, pleasure= reproduction; safety=organic evolution; eternity=generational cycle and love= transcendental cycle, and postulate that all entities of existence are moved to action by the existence of sensorial fields associated to its arrows; we reach some philosophical conclusions:

– The simplex arrows are automated and reinforced by the duality of negative/positive sensations, where the negative sensation is so powerful that it obliges the entity to act without delay to achieve the arrow. We can then image the simplex physical particles whose basic fields is a dual energetic /informative system to be far more automated than the next scale of beings, biological beings dominated by the reproductive and organic arrows.

– Those 2 arrows are what Aristotle called ‘vegetative wills’ and are reinforced by the objective isomorphisms of survival, as those species who do not reproduce or evolve into bigger organisms tend to perish and become food of larger biological systems. Thus, we observe in those 2 arrows and systems a higher degree of freedom, as species can live without reproducing or acting in social groups, but the penalty a ‘posteriori’, extinction is equally deterministic.

– Finally the generational cycle and the arrow of transcendental evolution seem not to be imposed from within the system but from outside and despite of it. Indeed, the generational limits of existence are not positive and certainly not liked by the species, which is subject to it. A solution is found when we realize that the generational limit as well as the organic arrow that creates herds does not affect to the informative cells and its networks; since indeed, black holes are immortal, as the informative elements of the universe and neuronal cells live all the existence of the organism. And so it becomes obvious that the limits of existence of those arrows are imposed by the neuronal, informative networks of the system.

And so the transcendental arrow of eusocial love is the summit of all the arrows of existence, unique to informative networks, whose members know each other deeply, share ‘—motions’ and information in higher degree, command totally the other elements of the organism, last forever, as long as the organism exist and have a higher degree of freedom that all other species. Reason why there is not clear systems of reinforcement. It is the summit of existence, free and eternal, within the limits of the ecosystem or super-organism in which those cells exist.

Recap. The transcendental arrow makes individual organisms transcend into super-organisms, creating the scales of the Universe.

The function of existence of the universe.

We humans have a clear limit in our perception of those scales, given by a series of parameters proper of radiant matter. We can’t see beyond quarks and galaxies; we can’t absorb information coming from faster than light forces (non-local gravitation) or perceive ordered vibrations below 0 K temperature. It is a metaphysical question to wonder if those are the hard limits of reality; in which case the smallest point, the quark, won’t be as Leibniz put it, a world in itself, but a hard limit: the simplest rotational movement or ‘spin’ of the Universe; or they are, as I believe, only the limits of human perception.

Then all what exists is truly relative in its scale, and the atom is an object self-similar to a galaxy, which would reveal infinite detail if we could approach the ultra-diminutive Planck scale. A fact, which translated into fractal notation, gives us the simplest formalism for all Universes, sum of all potential cyclical forms of all its ∞ fractals:

∏ (∑e <=> ∑2i)∆=∞       Universal function of Existence

The previous equation resumes all the possible infinite combinations of cycles of times, made of ∆-points in communication, that create all type of networks of ‘—motions’ and form, which become complementary organisms, and start a function of existence. So first ‘—motions’ appears, ‘—motions’ becomes form, ‘—motions’ and form reproduce and create social organisms with the reproduced cells.

We can observe the universal equation also as a game that grows causal dimensions: from lineal ‘—motions’ (1) comes from (2) and both combine to reproduce (3), self-similar waves of being.

This simple description of the game of the Universe, S ->ST->SxT->∑ext, is already present in Taoism (from 1 comes 2 from 2 comes 3 from 3 the infinite beings, Cheng Tzu). It resumes the constant, dimensional creation and extinction of reality (as finally the racialization of so many cells, exo, dissolves the form or the form explodes and dies in a big bang).

The Cycles of the Universe are thus self-repetitive; sine as Taoists understood, the universe you see is not its function of existence, which is expressed in that synoptic equation. The processes of creation and destruction of planes of existence however are too complex to study them as a whole without doing some basic distinctions. To start with there are two different type of arrows, simplex, Se<=>Ti processes, more proper of physical sciences (as in changes of state by increase of ‘—motions’, from solid to liquid to gas or vice versa; or as changes from lineal energetic motions into cyclical vortices, as in E=Mc2), are easier to analyze as they happen in the same place of existence. But we, men co-exist between the quantum and galactic scale of physical objects and between the cellular and social scale of biological beings. And so most of the events we must consider are events that take place between 3 co-planes of existence. In physical events between the quantum, human and gravitational planes and in biological events between the cellular, human and social plane.

The human mind is an I=Eye+wor(l)d who selects perceptively from the infinite number of forms of the Universe only those that matter to us. Thus, we do not see beyond the galactic, gravitational plane; though there are hints about a network structure of Galaxies, a big-bang model, which in organic terms would mean the birth of a first cell-particle that reproduced the entire cosmos and a model of fractal space-times with infinite scales of size that this work represents. Since the classic model of space-time continuum only considers a single light-space, our existential membrane with limits of ‘—motions’ and information (c-speed, 0 Kelvin).

Yet both in human and cosmic organisms only multiple space-time scales explains those cycles of life and death, which happen as a ‘travel between 3 scales of size, the cellular semen, human individual and social super-organism of history. In the same manner cosmology needs to grasp the fact that physical space is organized in 2 planes, the electroweak membrane we exist in and the gravitational space membrane of masses, and gravitational forces, which we do not perceive. Yet it is needed to resolve the meaning of dark matter, dark ‘—motions’, gravitational non-local action, the death of light into gravitational space, its formation of a background radiation, the actions taken place in black holes, etc.

Recap: A Non-Euclidean space or plane, defined by Riemann in the XIX C, is a network space – a space created by a network of self-similar points, related by constant flows of ‘—motions’ and information, whose properties are defined by the degree of ‘homogeneity’ or self-similarity of those points.

So your body is a discontinuous spacetime, a small world in itself, constructed with 3 clear ‘cellular spaces’, the nervous space, an informative network, the ‘energetic space’ – your digestive and breathing networks – and a reproductive space, the blood and hormonal networks and organs. We shall see then reality in organic terms as a series of ‘network spaces’, which will have all the properties of Non-Euclidean spaces (motion, curvature, dark spaces in the ‘holes’ left by the network, etc.).

 

THE GENERATOR EQUATION OF THE UNIVERSE

energy information good
In the graph, the Universe is a fractal of space-time symmetries across 3 vectorial dimensions of formal motion, the dimensions of space (and its 3 sub dimensions, length,w width and height) the dimensions of time and its 3 sub-ages (entropy, present iteration and future form), and the dimensions of Eusocial Evolution through planes of existence, or long arrow of time.

The interplay of those dimensions and form generate the Universe:

The first equation of time-space, deduced from the previous graph and its bio-topo-logical beats, space-form->motion-time->space-form->motion-time, is the generator equation of the Universe. We can with existential algebra, ®, define a wave-motion in time, which in its simplex generator will be hyperbola:

343-

In the graph we can see the simplest TŒ, Time equation or function of existence:

Œ: Tƒ=K/S.

Whereas T is time frequency of a time cycle, hence the inverse of lineal time duration, T (reason why we use the To) Symbol.

And space is lineal motion seen as still form.

In other words we could write,  Tƒ =1/T, To=1/S, whereas T is lineal time, perceived in motion as still space.

This is thus the beginning of it all, the existence of cyclical, accelerated time motions and lineal time motions seen as circles and lines of form. The 2 dualities between motion and stop, and between cycles and lines is at the origin of all the realities we perceive and all its events and combined forms of space time.

Thus we could say:

The Universe is immortal because time never stops. Time never stops because time is motion. Motion never stops. It is conserved. Two motions are conserved angular momentum and lineal momentum. They can be seen in a slice of present space as form, or they can be seen in the interplay of its formal motions. Cyclical motion is faster so we call it time, and clocks of time are used. Nature has accelerated time vortices, from hurricanes to masses (equivalence principle of einstein between the curvature of the time cycle or mass and its speed or acceleration), to charges (similar equations to gravitation). Those time cycles of different size are ordered with the previous equation, converted into metric equations:

Sp x Tƒ (substituting now cyclical time for lineal time) = K.

This means Time fluctuates along 3 points of the hyperbola.

Screen Shot 2015-10-31 at 10.58.01

And so one creates 3 points. Max. Sp x Min. Tƒ , Sp =Tƒ and Max. to x Min. Sp

Now we write with those laws a fractal generator equation of infinite space-time existences, the metrics of the 5th dimension:


In the graph the Universal fractal of infinite beings of space-time with different speeds in its clocks and sizes in space, whose product however, Sp x Ti, space size for speed of its information cycles remain constant, creating a ‘stable space-time being (ST±4) which happens in different combined size from the smallest. infinitesimals ST-4 to the largest Universe, ST+4.

All fractals have a generator feedback equation and the Universe is not exception. Generators are dynamic, cyclical equations which constantly create slightly changed new ‘cycles’. As such they are periodic cyclical equations of the form X < = > Y, where obviously X and Y are symbols as in all ‘Universal grammars’ linguistic representations of the Universal Generator (mathematical jargon in Space-time) or Universal Grammar (Logic Jargon in Time-space)>

Universal Generator/Grammar:               Tƒ ∑ExI=ST±4

We write the Fractal Generator expressly with one of its similar identities, in an expression which can be understood logically in wor(l)ds, the fundamental grammar of the human being.

In its Topo-Bio -logic ternary identity, ‘Topological i-planes of Vital Spaces and Cyclical Times’ need to be described topological properties (5th dimension metrics), Organic properties (which organize 0±1 vital spaces into a ternary organism) and logic properties (the ternary Non-Aristotelian logic of cyclical times which return in a ‘Hamiltonian’ Cycle to its origin.

The generator equation thus can be used to deduce from its topologic, biological and causal properties any other equation of the Universe.

It cannot be achieved such a feat as physicists of lineal time expect, only with topologic properties and only in a single continuous space-time.

It needs to understand the metrics of the 5th dimension and its relative scales of absolute time (ST±4), between invisible forces and invisible cosmos, beyond our perception (C speed, 0 K limiting borders). And this is achieved with the summit of the evolution of mathematical languages, the Non-Aristotelian, Non-Euclidean i-logic topology of vital spaces, of organisms, of geometric forms with speed-motion, constantly performing ∂a, accelerated actions with 3 ±= stop and go motions…

 

THE BIOLOGICAL PROPERTIES OF THE UNIVERSE

The aggregation of time-space actions, ±∆e xi, st, in which a system emits and absorbs energy and information evolving socially with similar Œ-points to form social wholes somehow become ordered into a finite pattern, which is a world cycle of life and death.

this is the most mysterious, fascinating, when understood intelligence of the Universe: how the actions of individual selfish self-centred points of view, observing and absorbing energy and information for its own advantage end giving up that energy and information and dying, and yet at the same time, if reproduced, will endure its own game.

The next level thus after the analytical level of the fast timespace actions of physical space is the synthetic level of biological organic space-time ages and world cycles of change of the inner parts of the system through those actions which accumulate in time, integrating into the 3 ages of the system.

We have studied in the first ‘sentence’: 3 Time motions x  Infinite-simal ‘still spaces’ = ±∆actions; the detailed, minimal space-time cyclical actions of the Universe performed by each Œ-point, as it tries to preserve its temporal existence

This first level of awareness of reality is mostly a topologic, mental point of view, as a given ‘particle-point’ defines its actions of exchange of energy and information ±∆(a,e,i,o,u) in order to survive, reproduce and ensure the immortality of its ‘logic form’. In this game, each point will however fail to survive as an individual ‘zero point, an ego-center with a mapping of ‘still spatial memorial’ images of reality stored in its ‘time wave of past’  with a synoptic, logic temporal language of minimal ‘volume’≈storage. So we humans die away but leave the genetic trace of our sons.

Our memorial verbal mind however disappears. If we consider the smaller point-particles of the Universe, electrons and quarks, and photons, they might not record any ‘trace’ of its motions, within its topologic brain but then again, the existence of spooky quantum effects (synchronicity between entangled particles) and the hypothesis of infinite scales theoretically proved by the infinity of digits in irrational numbers and the unification equation of charges and masses, as 2 relative vortices of time, might make each atom a galaxy of a lower scale, hence each proton a black hole of a galaxy of a lower scale with plenty of informative storage to record the entire actions of the galaxy (the black hole in fact has an ‘homunculus’ equation, since in 5D metric its equations are homologous to those of the galaxy in 4 D).

All this said, the reader should realise that ‘existence’ and ‘survival’, is the ‘goal of the will of each point of view’.

And yet all of them fail and go through the sequential order of its time-space actions from an energetic youth of maximal ±∆e motions and feeding, to a balanced age of maximal ∆i-teration, and reproduction, into a 3rd age of maximal ∆o,∆u, information and integration as part of a whole social system, in which the entity will perform actions for the larger whole or social group (from its family to its society). Why there is such sequential order in 3 ages that precludes the extinction of all spatial minds and memories? We might say that time motions keep erasing the past, as there is not in the total Universe enough storage for its information.

The past becomes then a fading track of those motions, but, and this would surprise the biased, subjective mind-oriented linguistic brain of the logico-mathematical-verbal scholar, minds is what the universe of time motions does not conserve, space-information in stillness dies away as motions are eternaL. The Universal substance is motion, space-stillness is mostly a recess, a mirage of the still mind. So motion continues, switching from action to action, from expansive, entropic energetic motions of death to informative, accelerated, cyclical vortices of logic time, and only the present dynamic repetition, iteration, reproduction of fleeing spaces preserves part of those memories reproduced in new games.

In this post we shall thus study the straight-jacket of existence – the world cycle between birth and extinction that all species follow as they travel through the planes of the 5th dimension. We shall describe that world cycle for all systems of the Universe, which become in space super-organisms, U∆±1 displayed across 3 scales of existence, and in time, world cycles that integrate all its actions in a ‘Hamiltonian pattern’, with a max. point of energy a balanced stationary E=I point of adult maturity and reproduction and a 3rd maximal age of information and minimal age of energy, prior to its explosion of entropic motion, erasing of memorial past and death.

The Worldcycle of Existence: Order in the motions of time

BIDIMENSIONAL

In the graph the equation of the 3 motions of time and its 3 symmetric only varieties of 2-manifold spaces, seen in sequential order AS the 3 ages of all systems.

We can describe those ages from the perspective of its 5D metric order as systems are born in the i-1 cellular/atomic, relative scales of minimal size and maximal time speed.

And then it will evolve in growing scales of the 5th dimension sum of ‘layers of space-time’ that co-exist and organise beings through 3 such scales (the i-1 cellular, atomic electromagnetic scale; the i-organic, thermodynamic human scale; and the ∆+1 social, gravitational comus scale), infusing systems of an organic, biological, synchronic interactive nature…

Those 3 ages represent the symmetry of time space. As those 3 ages are in space, when we see them in stillness, the workings of 3 functional organs:

Lineal and toroid limbs/fields of energy/maximal lineal motion, since the line is the shortest distance; spherical, particles/heads of maximal information that command the system, (since the sphere is the geometry with maximal volume in minimal space); and its body/waves that reproduce the energy and information of the system. But of course our space is limited, and our time also.

This ternary symmetry will be everywhere in the Universe, from the 3 parts that assembly a virus (spherical/polihedrical head, injecting body and lineal legs) to the 3 ‘ages’/solutions to Einstein’s equations (big-bang expansive age, steady state age, and implosive big crunch age).

And so all systems assembly themselves by the interplay of its 3 motions that become 3 forms in space. The beat has now widened to the 3 canonical only varieties of bidimensional space-time. Since nothing can be made with other varieties, those 3 suffice to create the reality of systems of space-time including man.

And then we add the 3rd element of mathematics and T.Œ, that of analysis, of social numbers growing into wholes, creating new scales of the fifth dimension.

Since numbers, which are societies of cloned forms – so 2 are 2 pieces of something – requires that larger numbers come after smaller ‘parts’, we shall then find that besides the ‘fast time cycles’ of life and death, there is a relative dominant future, which is NOT as physicists pretend, the arrow of relative past, entropy disorder, but the arrow of relative future information.

As numbers grow in cardinal, as parts become societies that become wholes, after parts have assembled. So the Universe grows in scales from particles into atoms, molecules, cells, organisms, planets, solar systems, galaxies and clusters…

And this justifies our ‘definition’ of a relative future as the arrow of cyclical time, social evolution, order, organisation of loose spatial herds into tighter organisms, with its circadian cycles, of loose stars into spiral galaxies and then globular ones.

Ultimately we can also explain those facts in logic terms. The head/particle gauges first information, comes ahead and on top, and so ‘defines’ and designs the future motions of the whole, whereas the legs come downwards or backwards, last, in the relative past of the whole.

Thus indeed, physicists with their error of lineal time and single entropy motions got it all wrong.

They didn’t understand the thoughts of God, ‘the seer of time’ (Augustine), only some of their details.

Fractal Space; time cycles and its space-time actions of existence across its 5D social, organic scales.

The game of existence is simple but in its infinite combinations, enormously complex. Non-Euclidean points of different sizes and speeds, perform cyclical space-time actions, breaking and integrating motions into forms, building replicas of themselves, and using other’s species momentum to do so. Beings are out there hunting for momentum, exciting its energy to reproduce its form.

It is a vital game but of only 3 elements, the time cycles, the vital spaces they inform and the parallel planes in which its multiple time clocks and vital spaces order in a harmonic fashion.

We can thus build on the 3 simple elements of fractal space-time, ‘time cycles’, ‘vital spaces’ and the ‘fractal scales’ of the 5th dimension a Theory of Everything.

Since everything, is made of the duality of cyclical clocks that break space into vital spaces with energy/motion; who perform 5 cyclical actions of space-time to ensure their survival (hence a program of existence imposed mechanically as those who by chance or conscious behavior or mechanical one did not follow those 5 actions are systems that no longer exist), and through the 5th of those actions evolve socially from past simpler systems into future systems, creating a complex, fractal scalar, organic, pantheist universe.

Yet all qualitative analysis of reality requires a formal, logic model and so each of those 3 elements of ‘scalar’, ‘spaces’ and ‘cyclical times’, requires a more advanced, evolved mathematical≈spatial, logic≈temporal and organic≈scalar formalism.

The symbols of the Generator Fractal. Qualitative and quantitative analysis. 

Thus the fractal generator defines the logic structure of all Systems of the Universe. And when we substitute each of its dimensional symbols for a specific variety of the dimension, we obtain a certain species of the Universe. In the next graph, we see the entire Universe generated by the Fractal generator of 10 Dimensional Superorganisms, written above in simplified terms:

HUMAN ACTIONS

In the graph the dimensions and symmetries of the human being along its time motions ordered in 3 ages, integrated in the generational cycles, its spatial forms, organised around 3 symmetric networks of energy, reproduction and information, and deviated into 5 a,e,i,o,u actions of exchanges of energy and information with ±i scales of the 5th dimension. The formalism that studies all those symmetries in space is ‘Œ’, i-logic geometry and its expression on time, is Æ, Existential algebra… They require to adapt present mathematical and logic formalisms to the existence of infinite broken entities of space and time… but essentially work on the 3 classic fields of mathematics, the geometry of points, algebra of sequential numbers of increasing size, and analysis of parts and holes, to extract the fundamental laws of space-time from where all other laws will be derived.

The Universe is made of 3 motions of time which assembly in ternary systems, perceived either as fixed instants of ‘space’ with 3 2-manifold, spherical, planar or hyperbolic surfaces, or as 3 dynamic motions in time, entropic, expansive, planar motions, repetitive, hyperbolic motions or spherical, accelerating inwards, vortex motions.

The stop and go, space and time, surface motion, duality is thus the beat of the Universe.

Its symmetry between what we shall call the 3 dimensions of space and the 3 dimensions of time, is the meaning of it all.

We are in that sense organisms made of space-time symmetries.And to study them we shall define 6 dimensions of space-time:

  • Sp x Te: Length, motion, lineal toroidal past entropic forms of space-time.
  • ST:  Wide, wave-body, repetitive hyperbolic present motions and forms of space-time
  • |-S x Tƒ: Tall, cyclical, spherical, inwards, accelerated vortices,future  clocks of space-time.

The ternary symmetry between lineal motion and length, and toroidal fields/limbs; between wide, repetitive, wave-body motions and tall, spherical, perceptive heads/particles is thus the origin of the ternary, diffeomorphic constructs of the Universe:

image018BIDIMENSIONAL

In the graph, modern topology uses the concept of networks of points to define the 3 varieties which assembly into organic space-time systems, across 3 dimensions of diffeomorphic space, the energetic, reproductive and informative networks that play 3 sequential roles in time, during the young, past, energetic age, mature, reproductive adulthood, and 3rd informative age, creating a world cycle, as they exchange ∂o,a,e,i,u actions of energy and information across the external absolute ST±planes of space-time of its universe, in order to survive; evolving ∫u into larger wholes. This is the pantheist organic Universe in a nutshell. And a more analytical way to describe it is through the study of its social networks, the ∑U-1 parts that form its wholes.

Those entities then are perceived as forms or as motion, in the next, higher scale in which they perform actions with momentum, origin of the beat between stop and motion, perception of information, internal evolution and external translation in space, time and space, energy and form, which multiplied in zillions create the Universe.

Now the symmetry between stop and go, space and motion, mind and reality, stillness and dynamics, derivatives and integrals, etc. etc. this is the stuff of which existence is made. How we can then graph all the possible symmetries, space-time transformations, and dualities and ternary symmetries and asymmetries of reality? There are many mind models that can do that. Humans have a best one, in the ternary parts of mathematics, analysis of 5D planes made of infinitesimals, with its inverse derivative and integral time arrows from relative past to future and future to past being the best:

Bell CORRECT

In the graph, the co-existence of systems in at least 3 inner scales of vital space-times, and 3 outer scales (the society, world and cosmos), make the total ‘dimensions’ and possible relationships of exchange of energy and information within the limits of perception of an Œ±4 Point of view, very wide.

In the graph, the 9 planes of existence that humans perceive and enact with them through its 5 actions: ∆A±4 (motion through the i-4 invisible gravitational fields of minimal size and maximal ∆+4 extension throughout the cosmos; ∆±3 (perception of information through the absorption of ∆-1 light quanta emitted by the stars of the galaxy), ∆E-2, absorption of energy food, reduced to amino acids that become our bricks to construct life), ∆Œ±1, reproduction with other human beings of a seminal cellular seed that will emerge as us, i, to play the social actions ∆U∆=∆+1, which does finally create our ‘Universal’, the societies of Humanity. It is thus clear that we do perceive those scales because they are the ones we interact with.

In the graph, the dimensions, planes and scales of all Universal systems and species can be better ordered from a past of lesser information into a future with more social organisation, given the fact that ‘scales’ have an ‘arrow of future organisation’ (you cannot construct a molecule without making first its atoms and an atom without making first its particles, and you cannot make a society without making first individuals and individuals without making first cells), there is a general arrow of ‘future time’, towards higher organisation.

So it is more correct to define not only 3±1 scales of isomorphic structure in all organisms and physical systems, but also 3 relative arrows of time for each of them, past, present and future. And all together, the 3 dimensions of classic space, the 3 of causal time and the 9 i-somorphic scales, which are ‘finite’, ‘fractal dimensions’, limited by each species, limited vital space, limited time and limited scales of co-existence form a ‘whole’. 

The graph shows them ordered in size and evolutionary informative time. And it shows also the duality of ‘heads/particles’ made of cyclical clocks of time.  We can see this duality of systems always with an informative centre and a body and an external lineal field, the energy system or lineal limbs to move:

The full study of all the relationships and symmetries of a being will give us its total 5D structure:

In each of those scales the Œo human point of view will have probed across its inner or outer space-time action to exchange energy and information. And so each of those space-time actions, which can be classified on 5 groups, accelerations and decelerations that emits energy, energy feeding that absorbs it (±∆E), reproduction that emits informations, and observation that absorbs it (±∆i) and networks creations of topological organic planes from parts… conform a series of symmetric and asymmetric groups that establish flows of communication between point-parts of each scale:

image090In a Universe of ∞ scales – hence of Absolute Relativity – the i-number is relative to the limits of the perception of the observer that classifies them. So as humans we perceive between 2 ∆-limits – the atom and the galaxy, which might be self-similar, as black holes and quarks, their knots of information show self-similar equations in 5D metric and 4D metric that models a galaxy as a hydrogen atom in the Einstein-Walker space. In any case they form the minimal and maximal scales of Human Sciences, creating our Se-size arrow.

Thus, if we use a decametric scale, for the physical World  with 2 limits beyond our perception, 0 (gravitational space-time) and 10 (Hyper-Universe), we establish an i-parameter of space-time planes, ∆Se=∆Tƒ, to classify all those relative scales of spatial energy and temporal information, each one studied by an ∆-science that in the 2nd part of this work we analyze with the co-invariant metrics and derived Isomorphisms of the 5th Dimension. While in parallel, we can also establish a relative ∆-scale to study Living Systems and the Human World. Thus the main |-energy and 0-clocks of time of each scale for physical and biological worlds will be:

1st Scale: Open strings of energy and closed time strings: Strong Forces & Gravitational space-time.

Bosons: |-Light and O-Photons.

2nd Scale: Fermions: |-Electrons & O-quarks.

Atomic Organisms: Periodic Table.

3rd Scale:  Inorganic and Organic Molecules

4th Scale; Life Cells. States of Mater: Energetic Gas, ExI Liquid and Informative Solids.

5th Scale. Life organisms; Energetic Plants; Informative Animals. Organic Metal-Machines

6th Scale: Planets. Human Civilizations; Economic Systems.

7th Scale: Sp-Stars & Tƒ-Black holes.

8th Scale: Galaxies, which might be the beginning of a new Scalar Game.

9th Scale: Universe, which might be a Gas cloud of Atoms of the new Scalar game.

And each of those planes, needless to say have different speeds of time information, which we measure and compare according to their frequencies

Thus the key element of the 5th dimension is the study of its planes of space-time.

 

TOPOLOGICAL EVOLUTION.

image007

Evolution follows the arrow of growing information, increasing both, the dimension of height and the social organization of individuals into herds and complex organisms, through a common language of information.

The Evolution of Information.

In the graph, the understanding of the arrows time, its dimensions, causal order, and the way in which they evolve individuals into social organisms, can also resolve and advance the science of Biology and evolution. Since living beings are also knots of time cycles of Entropy feeding, information gauging, reproduction and social evolution, perceived as still organisms, whose purpose is to evolve individual ‘cells’ of the same species into more complex beings. Thus chemical life cycles chain each other into complex systems called cells that evolved into bigger scales, till creating the biological cycles /clocks of information of human beings, the most complex informative species of the Universe. Further on, the duality of cycles/particles/heads of information, complementary to energies/lineal motions/forces/bodies also applies to biology, where bodies and heads create living systems.

How life evolves is disputed between evolutionists, who believe in a selective chaos and creationists, who think there is a design. Time Theory shows that neither is wrong or right. There is not a personal God that creates us – an ego trip of religious fundamentalists – but there are limits to the chaotic forms of evolution, set by the fact that the morphologies of Entropy and information are fixed by the efficiency of energetic lines and informative cycles, by the need of complementary designs, by the existential arrow of social evolution and reproduction that favors survival; and ultimately by the mathematical topologies and dimensions of ‘fractal information’ and spatial Entropy, which define the outcome of evolutionary tendencies. Indeed, watch the drawings of different life beings made of informative nuclei/heads and reproductive body. Informative systems are always smaller than bodies.

They are always on ‘top’ of bodies, perceiving more from the advantage point of view of the dimension of height. Further on, since information is bidimensional, informative systems are bidimensional (only a few animals have 3-dimensional vision). A book, a screen, a pulpit, an antenna, emits information from its top. A head, a camera, an electric field is on top of a body of Entropy.

This dominant arrow of information is dimensional; so species increase its height dimension, from planarians to human beings, a tall species of information. It is topological, so they evolve cyclical forms or heads on top of lineal forms or bodies. And it is eusocial, so they evolve from individual cells into social organisms through a common language of information (insects, human beings). Those dimensional, topological and eusocial isomorphisms complete Darwin’s Theory of evolution:

Ultimately, each species made of self-similar individuals is also a cellular super-organism, which follows the same causal arrows of organisms, with an increase of information towards its ‘3rd age’. Those 3 ages of ‘life’ in cellular species become then the 3 ‘horizons’ of evolution of species, which start as energetic, planar top predators (first shark fishes, first worms), with minimal size. Soon the species goes through a young, energetic age of growth in spatial size. Then it follows a II horizon of speciation and massive reproduction of the species (radiation age); and finally the species goes through an informative age of evolution in height and brainpower.

Then, either a new, more evolved species appears, causing the death of the previous species, which becomes extinct or dwindles in numbers; or the social evolution of the individuals of the species reaches such a degree of integration, through a common language of information that a macro-organism emerges. So ants successfully create superorganisms called anthills becoming the most successful animal on Earth, whose total life mass is equivalent to the life mass of humans, which also organize themselves into super-organisms of History, our Gods and civilizations. The success of those 2 species shows that the ultimate survival strategy in the Universe is that of social evolution. Since the total mass of ‘ants’ and ‘humans’ are the biggest ‘living masses’ of the planet, as the most complex social superorganisms of Earth.

Recap: Life species can be considered as superorganisms made of individuals=cells, which evolve through 3 horizons=ages, following all the geometrical and logical isomorphisms of space-time systems, as life systems are also complementary systems made of reproductive bodies and cyclical heads of information.

The fifth dimension of time: generational cycles.

Species become extinct or preys of trophic pyramids, if they don’t evolve informatively in social super-organisms, since as species their generational existence is also fractal, finite: all species have a genetic clock, the telomeres, which make them degenerate after a set number of reproductions.

It happens to cells that become cancerous or suffer apoptosis after their telomere clock stops; it happens to organisms that degenerate, especially in groups with little genetic diversifications; it happens in light that gets tired after 1010 years light of wave reproduction; as it is the best explanation of the cycle of light/dark Entropy; it happens to others particles whose mean life is often confused as in the case of light with its total sum of generational, particle/antiparticle, wave/particle cycles of existence; and it happens to cultures and civilizations, which have a decametric cycle, becoming destroyed every 800 years after 10 human generations. Yet those who evolve socially as ‘organic cells’ of a bigger organisms, seems to survive the generational cycle, since an organic cells needs less Sp X Tƒ force and it is protected from the environment by the bigger superorganism it lives in.

Recap. The 5th dimension of time is the generational clock-cycle.

The existential force. Strategies of survival.

We conclude that evolution is a guided evolution of form: Species evolve towards higher information. And those who don’t increase their capacity to understand the language of information of its ecosystem with better brains and better social systems become extinct in its relative universe. In the graphs we trace existential curves of species that survive better thanks to their informative arrow:

image010

In the graph, the Universe favors Top Predators, which are species with the maximal ‘existential force’, Sp X Tƒ (particle with more momentum in physics, M(o)xV(e); top predator in biology). Those species survive better as they perform better åctions and so ‘fill up’ the present Universe. Yet that simple equation is maximized when o=e, favoring a balance between the field and the particle, the body and head (‘mens sana in corpore sanum’).

The outcome of that simple law is the massive reproduction into the future of the top predator entity, which becomes for that reason, the ‘species that survives into the future’; while the species with less Entropy and information become extinct. However information is always relative to the bigger ecosystem in which the species exists, whose language of information defines that ecosystem. Thus in the galaxy, where the dominant language is gravitation, the black hole dominates the system; in this planet where the language is light, the species with better eyes (squids, then amphibian-reptiles, then mammals, especially felines with night vision and apes with 3-dimensional vision, and finally computers that will ‘talk’ with images dominate. Finally in the economic ecosystem made of humans and machines, the country with better memes of metal, better weapons (metal-Entropy), better money (metal-information) and better machines dominates and reproduces its technology worldwide.

Entropy and information motions become the generating, primordial cellular units of all species, including humans. Any system of reality is complementary. It has both -a lineal limb/force of Entropy and a processor of information or cyclical ‘head/particle’- which co-exist and evolve together. So the Law of Complementarity relates both inverse arrows in a static field/organism, creating complementary systems, composed by systems that process Entropy or ‘fields/bodies’ (physics/biology) and systems that process information or ‘particles/heads’ (physics/biology). How can we measure the efficiency of the 2 parts of the system together? Through the existential force.

The existence of multiple knots of Time Arrows implies that in the Universe of multiple time cycles, the words past, present and future, are also relative, quantized to each individual, who lives his past/youth or age of Entropy, present/maturity or age of reproduction and future/old age of information before dying, dissolving its exi=stence. Thus we need to analyze the relationships between entities which are in a relative past and interact with others that are in a relative future.

The simplest case is a family relationship between a grand-father, a man of the future with the wisdom of knowing in advance the cycles of time that his offspring will live, and its younger, less informed species: the young learns from the elder knowledge of previous cycles that will happen to the ‘past being’ into his future.

If we draw the example from different species, however the encounter will be Darwinian and only species which share the same information evolve together. Then the old, more evolved species with higher information will dissolve the simpler species into its relative past, as victim: there will be a Darwinian fight and the more evolved time knot from the future will kill and feed on the simpler form. And that is why we can establish that the relative future is guided by the arrow of information and social evolution, which creates better species. Since in a contact between past and future species, the future species survives, due to its better Entropy and information, its better existential force. It is thus possible to study from a mere temporal, evolutionary perspective the outcome of encounters between different ‘knots of time’.

When we consider the 2 ‘simple’ arrows of time that create the future, Entropy and information, as we do in Duality, all simplifies and explains itself, like it happened in earlier astronomy when Copernicus put the sun in the center. And one of the things it simplifies is the meaning of survival, which can be resumed in a simple equation: Max Sp X Tƒ = Survival. This function Sp X Tƒ, is the existential force, which explains that a species with the best Entropy body/force and informative particle/head will survive.

The existential force is equivalent to a particle’s momentum, Max MV, which determines the survival form in material collisions. In biology the species with better body and brains survives, which made lions and humans the top predator species of this planet… till we invented weapons and computers, energetic and informative species, made of metal, which now we fusion into robots, potentially the new top predator species of this planet. In the galaxy the highest existential force or momentum is that of a black hole. And it is proved in the Galaxy that the collision of a black hole of any size with any type of star converts the star into a black hole.

An important characteristic of the Existential force is that it favors a relative balance between the Entropy/body/force and informative/particle/head of the system: the more self-similar are both in quantity of cells and the higher the number of its networks/connections, the more synchronic they act together, and the higher the Existential force of the system is. This fact is the origin of the classic, harmonic, ‘beautiful’, mature state of most forms of existence that are in balance between both parameters, in a ‘mature’, steady state age.

Recap: The Universe selects the species with maximal Entropy and information: Max. Sp X Tƒ ->S=T. It will be a biological top predator or a particle with maximal momentum.

REPRODUCTIVE ARROW: FRACTAL NETWORKS

Screen Shot 2016-05-15 at 15.31.07

In the graph, several experimental proofs of the fractal, organic structure of all beings of reality: On the left, the Sloan fractal map of galaxies and its comparison with a neuronal cell; on the middle, an ice fractal, a plant and a river; on the right, a cluster of galaxies and a lung.

Fractal and non-Euclidean mathematics have evolved our understanding of information in topological terms, defining a new Fundamental particle of the logic/geometrical Universe, the Non-Euclidean Point, which unlike classic Euclidean points, has inner parts – an informative center and a field of ‘—motions’ that moves it. Such points constantly communicate ‘—motions’ and information with self-similar points, through non-Euclidean lines (waves which share the ‘—motions’ and form of those points), shaping together ‘Non-Euclidean space-time planes’, the network-entities of the graphs, which all structures of nature constantly reproduce organizing a canvas of simpler, energetic ‘cellular’ motions.

From the simplest particles, quarks and electrons that absorb ‘—motions’ and reproduce new particles to the most complex informative species, human beings, reality is made of bits of information and bites of ‘—motions’, evolved in complex, social networks through fractal scales, from atoms to molecules, to cells to organisms, planets and galaxies. We can mathematize those processes using non-Euclidean topologies and generator fractal equations that iterate and self-organize in networks those points of nature – an ice geometry, a DNA code, a cellular structure, a physical particle.

Thus, when we fusion the mathematical and organic understanding of reality, the Universe appears as a fractal of ‘—motions’ and information, made of self-similar parts, which constantly reproduce their forms. And the quest of the fractal paradigm is to find an equation able to define all those systems – the ‘Fractal Generator of the Universe’: Sp<=>Tƒ

The why of science: the topological, fractal paradigm.

All what you see can be reduced to numbers, because numbers are ‘social groups’. In the 3rd paradigm of metric measure those social groups were described merely in its external properties. System sciences analyses its internal, topological structures, as societies of Non-Euclidean Points (points with form and motion), whose exchanges of ‘—motions’ and information create complex networks of self-similar beings. Can we reduce all those topologies and organic functions of network spaces to a few postulates as the previous Euclidean Geometry did?

Yes, we can, but for that we must complete the work started by Riemann and Lobachevski, who discovered the 5th postulate of Non-Euclidean geometry and affirmed that through a point infinite parallels could cross. For a century and a half no mathematician seemed to have realized that if the 5th postulate has changed, we had to adapt the other 4 postulates to the new definition of a ‘point with breadth’, through which parallels cross. This point is the fractal point, which grows in size and scale, becoming a topologic network of smaller points, as we come closer to it. The Universe is indeed absolutely relative because ‘each point is a world in itself’ (Leibniz).

Yet geometric restrictions that allow only 3 types of topological forms in a 4-dimensional Universe -the informative, toroid topology, the energetic, planer sphere, and the cyclical reproductive hyperbolic -reduces all the internal parts of a fractal point to 3+1 functions or arrows of time, ‘—motions’, information, reproduction and social evolution that conform the ‘program’ or why of the Universe explained in detail in the twin lecture of this work1.

Those 3 functions become the functions of 3 specialized fractal networks of points that construct the systems of reality, from your organism, made of 3 physiological networks (the energetic, digestive network, the reproductive, blood network and the informative nervous network), to the galaxy, organized by a network of electromagnetic ‘—motions’, gravitational information, and a series of herds of stars, non-Euclidean points that reproduce the atoms of the galaxy.

The principle of transformation of ‘—motions’ into form: ‘‘—motions’ never dies but transforms back and forth into information; Exi=K, Sp<=>Tƒ’ represents the two parts of ‘—motions’ and form of those non-Euclidean point, the new mathematical unit of the 4th paradigm, where points become ‘topological balls’, and the Universe a geometry of multiple fractal scales of space-time, which grow in size and information when we come closer to them. Each of those points have a different rotational clock, rhythm or ‘speed of time’ and a different size, which in each scale is used by those particles to gauge information and measure distances and energies and motions, as each of those points interact with other points of its relative space-time world.

Thus the key to understand the structure of organisms are the 4 new postulates of non-Euclidean geometry based in the concept of a fractal point. Since we have also to account for the other key property of the spaces we see around us: each of them when observed in detail is made of multiple, smaller self-similar parts, we call generically ‘cells’. So even the smallest point, when seen in detail, becomes a fractal point with multiple parts -a non-Euclidean point in which the parts assembly themselves into wholes by connecting themselves through networks, sharing flows of ‘—motions’ and information, and then become parts of even bigger wholes (so particles become parts of atoms parts of molecules parts of cells and planets parts of organisms and galaxies, parts of societies and Universe, in biological and physical spaces). Yet those networks leave dark spaces between their connections where other networks can occupy a place. So thanks to those dark spaces, we find that the system mixes two types of networks – toroid informative networks and energetic, planar or spherical networks (as a sphere has in small surfaces the properties of a plane).

Reality is constructed with 3 levels of increasing complexity: In the first level any trajectory that returns to a point creates a closed form or time cycle, a clock, the unit or minimal event of Reality. Then many time cycles, chained to each other with certain synchronicities create a knot of time cycles that fills a vital space and becomes an entity of reality. We will describe those knots of time cycles as Non-Euclidean points, whose topological parts and isomorphisms become the mathematical foundation of Multiple Spaces and Times. Finally many knots of time cycles, exchanging flows of spatial ‘—motions’ and temporal information create complementary, social networks, which in its more complex forms are able to reproduce the system and create ‘super-organisms’, wholes made of parts that are wholes of an inferior scale of reality.

Since non-Euclidean Planes are networks with ‘dark spaces’ not perceived by its points that only see the flows of the network; those ‘holes’ allow the creation of complex systems with many networks, webbed within those dark spaces.

Thus the why of the Universe is organic, social: the Universe is made of complementary energetic and informative networks of ‘Non-Euclidean points’ (points with form and motion) that evolve and combine together, creating reproductive networks. And such complex systems create, new bigger, fractal networks units of a larger plane of space-time, evolving reality in scales of size that follow the same organic isomorphisms – from particles that become atoms that become molecules, cells, organisms, societies, planets, galaxies and Universes.

‘Each point of the Universe is a world in itself ‘said Leibniz. What he meant was understood in the XX century when we discovered the fractal structure of the Universe. Indeed, each point of the Universe, when we come closer to it, becomes a super-organism, made of cells with self-similar functions of time, repeated in all scales where those fractal points display the same logic behavior.

The Universe is a fractal of Temporal, informative cycles that are constantly generated and imprinted in reality. It is a fractal of 4 self-repetitive motions, ‘—motions’, form, reproduction and social evolution, constantly happening around us in bigger and smaller scales, in bigger and smaller cycles, all type of beings feeding, reproducing, energizing and informing themselves. And because those åctions are geometrical, they leave a certain trace which betrays the purpose of the action: a lineal path of feeding, a vibration back and forth of reproduction, a cyclical, implosive, informative process, and so on.

The Universe creates superorganisms by creating first fractal complex informative cells from flows of simpler ‘—motions’, reproducing them and self-organizing them in 2 parallel, complementary networks, one of ‘—motions’ and one of invisible, faster, thinner information that controls the entire system.

We often see only with the scientific method one single of those 2 networks, as gravitation and since most of our human existence magnetism appeared as invisible to us. And it is a general rule that both space-times, the one of ‘—motions’ and information, have different Universal Constants which are ratios, e/I and o/e and Sp X Tƒ, which define the arrows of ‘—motions’, information and vectorial reproduction of any organic dual space/time plane of the Universe. Where the space-network of ‘—motions’ and the informative-network create a holographic organism as those we see all around us in reality.

The best mathematical and logic description of all those qualities that structure reality -self-repetition in smaller and bigger scales, motions with geometrical form, feed-back action-reaction processes, absolute relativity of size – are provided by Non-Euclidean and fractal geometries, the geometry of information, reason why the 2nd part of this book will develop the new formalism of the fractal paradigm, poised to substitute the quantum paradigm and resolve all its questions in physics.

The result of course is that we see fractal structures created by the paths of knots of time, following its arrows of exi=stence in all systems of the Universe. This is what we see, the how of those Time Arrows: fractal paths of existence.

Thus, we shall now finish this first section dedicated to the ‘metaphysics’ of the fractal paradigm’, the why of those paths, with a brief analysis of the fractal structures caused by self-reproductive knots of time, as they follow their paths of existence. The next chapters will be dedicated to a thorough analysis of the mathematical and logical isomorphisms that define the paths of Time Arrows, and how they build step by step those fractal networks we call ‘Nature’.

Since all what exists studied in detail is a cellular network of self-similar beings sharing ‘—motions’ and information and reproducing and evolving in social networks.

Recap. The Universe is a fractal of information that reproduces, by imprinting and breaking vital spaces into complex forms. Each fractal knot of Time Arrows performs in his search for exi=stence a series of paths and reproductive and social acts whose final result is the creation of a fractal networks. All what we see are fractal networks caused by those knots of time.

The Universe is a fractal of knots of Time Arrows.

It is now clear what reality is: a series of knots of Time Arrows, which latter we will formalize as ‘Non-Euclidean points’. Such points are in constant communication with self-similar points, reproducing their form and evolving socially into networks. The reproduction of form takes place in a fractal manner, by producing ‘seeds’ in a microcosmic, ‘lower scale of existence’, which latter grow. The networks are built with flows of ‘—motions’ and information that tie those points. And the result of those simple, yet repetitive processes of reproduction and social evolution is the creation of a world of ‘herds’, ‘cellular organisms’ and networks, extending through multiple scales of size in which the forms of ‘—motions’ and information and the structures and isomorphisms that build super-organisms remain invariant.

In physics, scientists talk of the invariance of motions discovered and generalized by Galileo and Einstein (Relativity). Yet we must ad in the fractal paradigm two new invariances, the invariance of scale – the same Time Arrows take place in all scales; and the invariance of topological form – the same shapes of ‘—motions’ and information emerge and repeat themselves in all scales (though, and this is essential for the reader to learn how to compare them, they are topological forms, where the ‘distances’ and sizes are relative, so what is conserved is the overall ‘lineal, planar shape’ of energetic functions, such as lineal limbs, lineal weapons, planar membranes; the cyclical, hyperbolic shape of reproductive cycles, which combine ‘—motions’ and information to recreate a form, such as those of your body organs or the cycles of an assembly factory or a mitochondria, and finally the toroid, convex, warped, cyclical forms of informative organs, such as a brain, a camera or an eye or a black hole.)

Those 3 invariances create a new ‘paradigm’ of science, no longer built on the belief of a single arrow of time, a single space-time continuum and a single clock-speed to measure it. The result of course is a more complex reality, but that was to be expected. We, humans are just one of the many games of existence of that fractal Universe, and it should not be expected that we are, regardless of our anthropomorphic myths, different from the rest, and able to fully understand in the diminutive brain all what exists, unless we simplify it.

What this work tries to do is to return to a minimal degree of complexity to be able to understand the fractal knots of times, which imprint the ‘—motions’ of reality with its information, constantly reproducing their form and playing the game of existence, constantly achieving the immortality of form.

The Universe is made of ‘time fractals’ that participate both of the properties of mathematical fractals and living organisms. Yet organic fractals are more complex than mathematical fractals, because they have motions. And so the reader should not confuse both terms.

Fractals are mathematical or organic forms, which iterate or reproduce their information in self-similar forms that extend through several scales of size and information which we shall call ‘i’-scales.

They are the most accurate models to depict natural phenomena related to informative growth and reproduction, the essence of life organisms:

Arrows of Reproduction & Information: ->ΔTƒ

All fractals originated by a Generator Equation (mathematical jargon) or mother cell, (biologic jargon) iterate=reproduce a series of self-similar fractals, called a set in mathematics or a family in biology:

Mother/Generator Cell: ->Σ∆-1 fractal family/set

The paradox of fractals is that the smaller the fractal scale is the more information it accumulates and the more detail it has. How this is possible? Because information is form-in-action, form with motion, and so the logic paths that systems use to process information are completed faster in lesser space. Further on, in physical systems the cyclical speed and frequency of a vortex with form (a mass or an eddy) increases when the vortex is smaller (VoxRo=k). So the increase of ‘cyclical speed’ diminishes geometrically with size. This result can be generalized to any system of knots of time. So the metabolism of small animals is faster than that of big ones. The cycles and clocks of atoms are faster than those of our scale, faster than those of the cosmological scale. The same can be said of geometric fractals: a Mandelbrot fractal holds more information in its smaller scales, as we enlarge them.

However, there is a fundamental difference between the logic, linguistic fractals of the mind and the physical Universe: While static, ideal, mental mathematical forms can be of any shape, as movement and friction don’t test their efficiency, in the Darwinian Universe only forms of Nature whose properties allow the being to process efficiently ‘—motions’ and information, survive. Thus, mathematics is an ideal language that can create any form, but in the Universe forms have to be efficient in their motion/function and parallel form. Thus, in Physics and Biology we add movement to the mental shapes of geometry, which enormously reduces the possible shapes.

Movement acts then as a ‘reality check’, an Occam’s razor that eliminates all complex forms, which won’t be able to move properly under friction, stress, turbulences and other obstacles proper of the real world. A Mandelbrot fractal might be very beautiful. But it wouldn’t be able to move very fast, and its attached microforms probably would break with an air stream.

So there are no such fractals in the Universe. Instead, we find physical entities made of cycles and lines in movement, for reasons of biological efficiency. Since a lineal movement is the shortest, most efficient path between 2 points. On the other hand, information is cyclical, because a sphere accumulates the maximal quantity of form in minimal space. While a cyclical rotation is the movement with less friction and the only one, apart from the line of ‘—motions’, that maintains the self-similarity of any form, even in trans-form-ations of size. A fact that explains, in terms of survival efficiency, the morphological invariance of ‘—motions’ and information shapes at scale.

Since Mathematical fractals lack, as pure forms of mental information, the energetic dimension of movement and growth, their fractal sets are attached to the Mother- cell’s boundary, where the self-similar forms nest, as in the case of the well-known Mandelbrot set. On the other hand organic fractals not only iterate their information as mathematical and mental fractals do, but also make it grow. Species are not mathematical but organic fractals, whereas the word organic refers to the non-mathematical properties of existential entities, which are better described with visual and logic/verbal languages. Those Biological theories of Time (Evolution theory, Theory of Organisms) include also the logic of survival that extinguishes the less fit – hence a relative past species – and reproduces the fittest, hence the future species; and it includes the visual languages that give movement to the forms of ‘—motions’ and information described by mathematics.

Nature’s fractals combine the arrow of ‘—motions’ and the arrow of information in an organic way.

They differ from geometric fractals in their dynamism and capacity to absorb ‘—motions’ from their environment. They not only iterate their form in microcosmic scales, but feed their offspring of information till they grow into full replicas of themselves. It is precisely the combination of both arrows what makes the behavior of an organism more complex and varied than the behavior of a mathematical fractal. So in the study of natural fractals, we have to add to the informative arrow – whose isomorphisms we deduced from the study of mathematical fractals and informative seeds – the ‘—motions’ arrow of ‘—motions’ that thermodynamics has analyzed:

‘—motions’, young arrow: Sp> ∞ x Tƒ->0            X     sp->0 x Tƒ->∞: Information, old arrow

For any Σ number of cycles: ΣSp x ΣTƒ = Organic fractal ΣSe<+>ΣT Organic cycle

The understanding of fractal processes provides a more detailed, scientific analysis of those processes. In that sense, unable to define information with the same rigor used to define the arrow of ‘—motions’ and ‘—motions’ physicists have ignored for centuries events connected to the arrow of information (chaos, turbulences, super-conductive and super-fluid phenomena, etc.). Physical events and particles are also subject to both arrows, as everything else in the Universe. Thus we define abstract equations (as the back and forth transformation of ‘—motions’ into mass, Sp=mc2) in terms of process of creation and destruction of information.

A single language cannot describe all the information that a certain being has within itself. So mathematical languages are also synoptic, and reduce the total information of the being. And that is the case of a fractal equation, which reduces the entity to its fundamental essence. In that regard, the Theory of Time Arrows is not Pythagorean, as Quantum Theories often are, in the sense that it does not consider the Universe to be made of mathematical entities, but merely affirms that among the linguistic mirrors that can map out the Universe, mathematics is undoubtedly the key language to represent the trajectories, cycles and motions of its species.

Because all languages observe the Universe, humans ‘talk’ those arrows of time with logic, verbal, visual, and mathematical languages. Since the syntax of verbal thought with its ternary structure and of visual forms with is line-cycle-wave structure and red-green-primary colors describe entities constructed with those arrows.

Recap. The Universe is based in 3 types of invariance, invariance of motions (Galilean relativity, now applied to the invariance of the 4 arrows/motions of time), invariance of scale (self-repetition of the same processes and arrows in all scales of size) and invariance of topological form (self-repetition of the ‘—motions’ and information shapes of reality. The 3 invariances define a Universe better described with the mathematical isomorphisms of fractals geometries, based in the existence of a generator equation that constantly reproduces information, creating networks of self-similar points, which structure all realities we see. The difference between a mathematical and an organic, Universal fractal is evident: organic fractals do have motion and their processes of reproduction and evolution are far more complex than those of mathematical fractals. So we must depart from a narrow-minded mathematical-only approach to study those fractal systems and consider mathematics one of the main but not the only language to describe its organic properties.

The 3 elements of all fractal beings.

We see a static, simple Universe in our relative human ‘plane of existence’. Yet reality is organic, extended from microcosmic to macrocosmic ‘dimensions or scales’, and dynamic, as all particles and forces have movement-’—motions’ and form, in-form-ation; and all of them are structured into networks, which share their ‘—motions’ and information. Those 3 elements: bites and bits of ‘—motions’ and information; networks and scales define the structure of all natural fractals, including the Universe.

They can be formalized with the Generator Equation we use to formalize the arrows of ‘—motions’, information, reproduction and social evolution. Since we defined Universal fractals as ‘fractals of Time Arrows’, hence both concepts a fractal Universe and a Universe made of knots of self-repetitive Time Arrows are the same. We observe different degrees of complexity in a chemical or mathematical fractal, in a fractal organism or in the fractal Universe; but those 3 essential elements repeat themselves, to the point that scientists use similar terminology for all of them:

– The elementary, iterative unit-cells of a fractal, which according to the duality of Universal arrows, will consist on relative bites of ‘—motions’ and bits of information. Those bits and bites are not static forms, but arrows that exchange ‘—motions’ and information; flows and cycles that the organism repeats constantly, generating self-similar forms. So we can define a simple iterative, cyclical equation with 2 terms, the 2 arrows of the Universe, which can be considered the generative cycle of all Natural Fractals:

∆: Fractal Cycle: Sp<=>Tƒ (dynamic state) + Sp X Tƒ (static, formal state)

The networks or systems of ‘—motions’ and information that organize those cells into bigger structures.

How feed-back cycles of ‘—motions’ and information grow into complex organisms, made of many cycles?

-In time through processes of discontinuous reproduction and evolution, which create similar action-reaction cycles, cells and organisms in other parts of the Universe. Most natural fractals have a dual network structure that attracts the micro-cells of the organic fractal by distributing the 2 arrows of ‘—motions’ and information to them. For example, in a human fractal, the nervous system delivers bits of information and the blood system delivers bites of ‘—motions’, control together its cellular units. In the Universe the same roles are played by the informative, attractive, gravitational force, and the electromagnetic ‘—motions’ forces.

-In Space through the organization of cellular networks that deliver ‘—motions’ and information to each cell-cycle. Those cell-cycles attach to the networks to process constantly new ‘—motions’ and information in their iterating cycles, creating bigger organic systems, made of multiple, similar forms.

When both iterative processes are combined, the fractal units of the Universe grow in ‘—motions’ through space and evolve its informative complexity in time, giving birth to the infinite combination of those fractal arrows that we call species, systems or organisms.

The equation includes an Σ-term to signify the gathering of individual Sp X Tƒ units into networks and webs:

ΣTƒ: Fractal networks: Σ (Sp<=>Tƒ) or Σ (Sp X Tƒ).

It still looks a simple equation to generate the Universe in its infinite variety. But the Complexity that arises from such simple scheme is enormous when we introduce the 3rd fundamental concept of fractal structures: Dimensionality. Since indeed, space-time cycles can exist theoretically in any number of dimensions. So we should consider in more detail the 3rd element of fractals: the fractal dimensions, planes or scales of existence invisible to human perception through which the fractal exists. They are:

– ∆st: The relative st-scales or dimensions across which fractals extend its organization. We use for the 3 relative scales of size that define most Nature’s fractals, the symbol O for information.

In humans there are 3: the cellular, individual and social scales; as most entities do not exchange ‘—motions’ and information beyond its upper and lower organic level. For example, humans, as individuals belong to a relative st-scale, and are aware of social tasks (our ∆+1 plane of existence) and cellular sickness (our ∆-1 plane), but the events that affect the galaxy, the macrocosms to which our planet belongs (st+2) or affect our molecules, the lower microcosms that make up our cells (st-2), hardly affect our existence. Thus depending on the detail and scale at which we observe most fractals we perceive a fractal cycle (minimal size and detail), a fractal cell or a fractal organism (max. detail and size):

Natural Fractal= ΣΣ∆-1 Cycles > Σst-Cells->∆+1 Organism.

How many elements in space make up a fractal, social network? The most obvious structure is a ‘tetraktys’, already considered by Pythagoras to be the magic number of the most perfect social networks. The reason is that a tetraktys can be written as a system with 3×3+st elements. Imagine then such tetraktys as a triangle with 3 vortices, each with 3 elements that will perform the arrows of ‘—motions’, information and reproduction, while the central ∆+1 element that communicates all others will perform the arrow of social evolution, representing the entire fractal as a unit of the next st-scale. Thus a tetraktys is a highly efficient form, found in all systems of nature, even in human, social systems: 9 soldiers and a caporal make a platoon and 9 caporals and a captain a division.

Recap: All fractals have 3 elements that define them: Cellular units, networks of ‘—motions’ and information that organize those cellular units, and st-scales in which a self-similar but not equal fractal structure emerges, once and again with the same energetic and informative complementary forms.

Fractal Reproduction of information: Non-E points evolve into morphological organisms that keep its 3 functions.

image015

In the graph, the informative egg, and energetic, larva phase of most animals translate the inner, informative center to the  region and the external membrane to the ‘tail’, inverting their positions as the informative function of the egg is substituted by the energetic function of the larva

Yet morphology is flexible, adapting itself to the 3 possible, Sp, et, T environments:

– Max. T: The spiral or spherical ‘still’, cyclical form that packs and focuses the maximum information in minimal space is preferred in a 3-dimensional, homogeneous, ‘safe’ space or when the form is born as a ‘seed’ of genetic information. Those specialized, informative, still points have an external, spherical, rigid, still, symmetric membrane that can ‘focus’ information into an accurate, reduced image of the Universe.

On the other hand, since energy-information flows occur within the borders of the world, the informative singularity that orchestrates those flows, occupies the central axis with a dimension of height, moving linearly as it orders the inner world. Some examples are: a cell with DNAor a spiral galaxy with a tall black hole and a Halo.

– Max. Sp: Lineal, spatial, energetic, moving forms are common in moving worlds with directionality. Then the energetic system occupies the ‘tail’; the intermediate organic elements, the center; and the informative senses occupy the top ‘ in the direction of movement to absorb and control the ‘future’, energetic and informative flows that come from the forthcoming region, which the organism will occupy in the future. Some examples are: a train wave with a singleton ‘, the glycine or a shark. All of them have s upfront, with their energy cells on its tail.

– SxT: In complex, space/times existing in the limiting surface between 2 discontinuous regions, the form mutates between energy and information morphologies in 2 different ages as in the graph, or depending on the environment and function it performs, as spirals do; or it becomes discontinuous with quantized triangular legs to process energy, hands to emit information, tails to control directionality, eyes and antennas to absorb information, etc.

It is the case of life beings that exist in discontinuous surfaces between the atmosphere and the ground or the water. Thus the morphology and relative position of the energy and information elements of a Non-E point adapt to the ecosystem in which it exists. Yet its 3 Non-E regions and its parallel energy, informative and reproductive functions are maintained.

Screen Shot 2015-09-09 at 14.38.55

A galaxy, a DNA molecule, a tornado, a shell and a sunflower have all a spiral form, the most efficient and hence commonest form of any space-time field, since it can easily mutate between a lineal and cyclical form, opening or closing its arms. The homology and similar structure in time and space of all Universal entities shows the existence of an impersonal design in all forms of reality that obey the quantic laws of space and time.

Classification of systems and superorganisms by its i-complexity.

best networks

Now we can return to the ‘network’ concept and coming from the generic isomorphism, see its human ‘variety’ , just another 3-topological being with 3 blood, endocrine and nervous networks, each with the generic properties previously described:

All Universal beings are superorganisms of temporal energy of different size, joined by networks of energy and information that control the quantic cells of the super organism. In the graph we can see with the ‘logic symbols’ of G.S.T. how a human being can be described both in time as a series of events between birth and extinction that happen through those 3 ages and as a spatial organism with a body of energy and a head of information.

So we can define a human being in space, as a mixture of 3 physiological networks, the digestive Max. Sp system, the Reproductive, Sp<=>O blood/hormonal system and the Nervous/Sensorial, Min. Tƒ System. The 3 together form the Human Spatial Organism:

Max. Sp (Digestive/skeletal systems) < Blood/Hormonal Systems > Informative/sensorial systems.

From where we can deduce a theory of human behavior, as what we do is to feed with energy our body, with information our mind, and seek to reproduce the system, the 3 PRIMARY arrows of behavior of any system of the Universe.

Sub-varieties with only a ‘few parts’.

All this said, of course, NOT pall systems are complete. For example viruses, do have the 3 parts (head with Dna, toroid legs and a muscle injector spiraled with a tube), but the do need the external world to the reproductive part. Some machines are only parts, energy cars or head computers, and they need a human to be completed (an animetal is hence rested, essential species to understand the economic ecosystem).

Yet species that survive do have by themselves or with the help of an enzymatic system (enzymen in the case of machines and its reproductive corporations) a ternary complete system. Since if they do not have a reproductive system they will be extinguished when they die. Only perhaps and this must be discussed in detail somewhere else, the ‘immortal proton-black hole’ of the eternal repetitive 2-8 atom-galactic scale might be immortal.

All this said we can classify all systems as ‘relative horizons’ of the generic evolution of social networks of growing complexity. And we can formalize them as partial equations of the Quantic Spaces-Times equation of a complete organism, SE<=>ST:

– A system, Se or Tƒ, is a quantic group  of ‘Non-Euclidean points’  the unit of all those systems (a fractal point or number 1 which can be anything, cells in organisms,  atoms in physical systems, etc.) related only by networks of energy or information.

– A super-organism, Se x Tƒ is made of 2 complementary systems put together: a body of quanta related by networks of energy and of quanta related networks of information.

– A living super-organism, Se< ST >Tƒ, is an superorganism with a 3rd, reproductive network that combines energy and information. It is the final horizon of systemic evolution in which the ‘upper class’ quanta with max. energy and information (Se+Tƒ) and the ‘brain’ and ‘skin’, control, invaginate and limit an intermediate region or ‘middle class’ of reproductive quanta with lesser energy and information, Se=Tƒ, that reproduces the specific energy and information of the system.

For example, according to its reproduction we can differentiate ‘living super-organisms’ that reproduce through its inner networks; from ‘mechanic super-organisms’, reproduced externally by a catalyst such as machines reproduced externally by men or proteins reproduced by DNA. Yet even ‘mechanic super-organisms’ can evolve potentially into ‘living superorganisms’ (robots).

In any case reproduction=repetition of a quantic ‘present form’ into another ‘quantic, present form’ is universal. Since in a quantic space/time Universe everything reproduces either internally or externally through the use of catalysts, as only forms that are copied in other s/t region survive after their quantic death.

– Finally, an ecosystem, world or Relative Universes (SE<=>ST), is a volume of organic space in which multiple super-organisms co-exist, related by their own specific networks of energy and information.

Most entities designed by men are systems, such as an electric network (an energy system), or a legal system (an informative network).

Most forms of nature are superorganisms (such as a molecule). While the most complex systems are worlds and ecosystems in which multiple species coexist, through 2 different behaviors: social evolution among the individuals of the same species and competition between different species.

Indeed, we distinguish according to the duality of ‘positive, informative order Vs negative, energetic entropy’ 2 types of macro-organisms: Darwinian ecosystems in which the relationships between the different species are ‘negative’, as they feed into each others’ and ‘worlds’ in which those relationships are positive. So, for example, a human nation is a ‘world’ and a jungle is an ‘ecosystem’. But that belongs to sub-post.

Recap.

The fundamental concept to understand super-organisms is that of a network, composed of ‘Non-Euclidean knots’ (mathematical description), ‘cells’ (biological description) or ‘minds‘ (philosophical description) that exchange energy and information, the 2 primary substances of the Universe). A super-organism gathers together a series of cellular super-organisms belonging to a few equal or symbiotic species around those networks of energy and information (for example, in a human being cells gather around the blood and nervous network, creating a human organism).

The program of existence, the will of super organisms.

What is the center of a territorial world or super organism, a zero point of a ternary structure, a topological bidimensional system with a will for its åctions trying to maximize its existence, to keep its ‘Se x Tƒ = ST, world or organism’ working:

Tƒ maximize your existential force, Max. Sp x Min. Tƒ: ∑Sp x ∏Tƒ, systems gather in social groups. They evolve in 3 degrees.

First they form ‘Systems’ which are parts that perform an energy or information task within a larger system.

They are often the products of human construction.

We are more interested in this blog in ‘Universal, natural systems’.

In Nature individuals evolve into ‘universals in 3 stages’, ruled by languages related to its time dimensions (genetic languages), its spatial extension (geographic languages) and finally construct an organism, or rather a super organism as each part of the lower scale is also an organism, emerging as a Universal which shares the properties of its parts:

∑∆>∏∆>Tƒ=∆+1

This is the ultimate ‘equation’ of existential algebra that explains why all systems in the Universe form social groups. But to do so they need a language of social communication… So they also evolve its spatial, temporal and scalar hierarchical languages.

ION

II. SUPERORGANISM I

TIME

HE SUPERORGANISM: THE FUNDAMENTAL POINT OF VIEW.

3 HUMAN scales best

In the graph, all systems of the universe are points of view and super organisms  and individuals parts of social herds, which interact through exchanges of energy and information in a single plane. Those 3 perspectives of a being are studied together to fully grasp the nature of any system, as the entire system constantly interact across a certain number of ±∆ planes of existence.

In the graph, we describe the main isomorphisms of Human p.o.vs and our ternary super organic spatial and temporal structure (below). As we are made as all systems of Particles/heads that gauge and perceive information, Tƒ, with limbs/fields, Se, that extract energy of a relative U±2 world, combined in bodies and waves that iterate the system.

Thus all systems have a spatial, topological assembly of 3 organic parts, that will exist causally 3 ages of evolution of its forms through those 3 topologies, and will in the process establish a series of åctions in time, combination of their vital energy and information with the ‘complex world of U±4 planes of existence around it.

In the previous post we study the superorganisms of the Universe from the perspective of its time symmetry or worldcycle.

Yet if the world cycle of life and death and its 3 ages are the ‘time view’ of Universal Superorganisms, its Œi structure as networks of points is its spatial view, and as such the Superorganism embodies both the spatial and temporal, formal and functional organic and temporal meaning of all existences.

Universals then treated as networks become the ‘biggest’ scale of growth possible to any system born in the ∆-1 seed state. As it will finally reach the 10 up to 10 scale that makes it ‘transcend and emerge into a Universal new Plane of existence. Such is the magic number of stars in a spiral galaxy, atomic ties in a DNA, cells in a normal organism, and so on.

We can then talk of a ‘discrete’, scalar game of social groups of 10 elements that evolve in the same plane of existence, the same ecosystem, and as it organizes its numbers finally emerge as a whole being.

And so the study of this game in its spatial and temporal symmetry through the building of its networks of cellular/atomic points, its societies of decametric elements, its horizons and languages of coordination, and so on, is the highest level of ∆ST, of Philosophy of Science, of knowledge about the meaning of it all – from ∆-1 to ∆+1…

Universals are the U∆ Huge Wholes, established by a logarithmic scale on base 10¹º. Thus to make a U∆, a Universal Plane of Existence, we talk of billions and trillions of cells, particles, which become far away points of The U∆, Whole, topological plane.

Unlike societies of lesser numbers of ‘atomic cells’, ∆-points in Universal Planes are quasi infinite. In fact, as they disappear in detail and become ‘points’ only observed externally by science, they become the ‘infinitesimal’ of those wholes, and hence the meaning of infinity, is the whole and of infinitesimal existence, the point-article of the whole, cells in biological systems, atoms in physical systems, stars in cosmological galaxy and so on

For discussing the properties of a system, it is usual not necessary to go beyond one level of substructure.

Turning the table around, we can say that the properties of any elementary particle are hardly discernible in systems which have more than one level of structure.

‘The smallest point is a world in in itself’

Leibniz, on the fundamental particle of Reality: The fractal point=world of space-time.

THE ORGANIC PHILOSOPHY OF ISOMORPHIC, SCALAR PLANES OF SPACE-TIME.

General systems sciences and organicism.

The science that studies the organic nature of the Universe, its planes of space-time and the common laws or ‘isomorphisms’, which exist between them, is called General systems sciences. However it is simpler and more realistic to consider merely the formalism of the 5th dimension of space-time without any prior jargon as that developed by Systems Sciences. Even if we acknowledge the fact that this blog is the only ‘formal’, logic-mathematical model of both disciplines, known commonly the science of Complexity.

There are other efforts worth to notice. Notably the work done in Santa Fe Institute and the congresses of the International Systems Sciences Society, among collaborative efforts and the work of Mr. Troncale at Ponoma U. among individual researchers have tabulated many isomorphisms in the Universe (self similar laws across different disciplines of science, which as it happens are ordered by space-time planes of relative size, hence according to ∆ST metric: fig.2). But collection of data is only the 1st step of the scientific method, which requires to fit data into  a ‘general mathematical and logic model’ good enough to fit new discoveries in different fields – to test its veracity.

In any case since there has been always a ‘Philosophy of Science’, or discipline of disciplines, General Systems can be considered merely the formal attempts to convert into hard science the ‘scientific philosophy of an organic Universe’, as opposed to the other simpler model of a ‘mechanical one’.

And so we could put in both sides – the simpler, more accurate mechanical model vs. the Organic model, most of the thinkers of the past. Mechanism is easier so it has triumphed, Organicism has taken more time to become – still needs a lot to be done – a standardize system.

Thus the 5D model fits all the data of all the sciences of those scales to the extent of the knowledge of this polymath writer. Thus it is probably the better tested model in terms of the Principle of Correspondence and Ockham’s principle (a theory that fits more data in simpler laws, is the most truthful.)

Thus the site studies mainly those 10 isomorphisms in great detail ³.

The whole site, on general systems sciences, when I rewrite it properly, will be a small encyclopedia of all sciences, seen through the focusing, orderly mirror of the 3+3 Dimensions of the Universe, its 9 planes and scales and isomorphisms. I started to do this, in august 2015. Though the work is much older.

While the model was published in a very reduced format  in a series of peer reviewed conferences at ISSS during the last decade, this blog is the place where I will pour 2 decades of independent research in the aforementioned formalism.

You might then wonder why nothing of this is well-known in science (and why this blog i assume won’t change that trend).

In the field of social sciences we explain the anthropomorphic causes. In essence, humans as all systems are ∆-centered, and so they don’t like objective science. They like myths and that make them the center of the Universe. So religions are always more successful. And i attribute to that fact the delay on understanding the 5th dimension: human anthropomorphism. Since the 5th dimension shows an organic, ‘vital’ Universe ruled by Absolute relativity. Since humans simply occupy a relative world-plane of an infinite 5th dimension, self-centered in its point of view, an infinitesimal point with no importance whatsoever, ruled by the same laws that define the form and functions of all other systems and ‘scalar social herds and superorganisms’ .

Thus the ‘organic philosophy’ of the 5th dimension of isomorphic, scalar space time (∆ST), called ‘General Systems Theory (∆ST) ‘ is a philosophy of an organic vital Universe:

“All type of Universal systems can be described as social networks of energy and information. Its similar=isomorphic laws are the content of the formalism of the 5th dimension, from where we can deduce the main laws of each science that studies a relative ‘scale’ of spatial size of the social, organic Universe, from physics which studies its smaller and larger atomic and galactic scales to biology and social sciences which study its intermediate life and human scales.”

 The organic whys of the Universe: The 4th paradigm of knowledge.

A deeper explanation of this work considers the meaning of knowledge and what questions it must answer to exhaust the study of a certain subject. In journalism we ask what, who, how, when and why.

The evolution of science implies big shifts in the paradigms, languages and philosophical dogmas we use to understand the Universe. In the evolution of science we observed first ‘what’ (experience) and then asked ‘who’. It was the mythic age of science, the first paradigm of knowledge – when an anthropomorphic being, often a god was the cause of all events. Then the Greeks used reason to ask the what (experience) and how of things, its causes and consequences. It was the 2nd paradigm of knowledge: logic thought.

The 3rd paradigm started by Galileo with his use of machines (clocks and telescopes), responded to when, measuring space distances and time frequencies in great detail with a single space-time system.

The ticks of the heart, the stomach, the moon, the atom and the clock are different, but to measure them we needed a unit of time and so we equalized all rhythms with a clock, and to compare the spatial trajectories of those cycles we needed a ‘background of space’, so we put together all the broken spaces of reality into a joined puzzle, which we called Cartesian space-time. The error of a single space-time came when we forgot those simplifications and considered that the abstract space-time continuum of Descartes used to measure all other spaces and times was the real space-time.

The culmination of this process of mechanical measure came with quantum theory, which refined the measures of the cyclical trajectories of particles in the microscopic world and General Relativity, which refined them in the cosmological realm by correcting the deformations of those rhythms of time and distances of space caused by the limits of speed of our light-based Universe.

In philosophical terms, the paradigm of measure meant the birth of mechanism, the fundamental philosophy of our world today: the machine – no longer man, an organism – became the ‘measure of all things’.

This was a simplification, as today we realize that machines merely imitate our organs of energy and information with networks of metal-atoms (so a crane is an energetic arm of metal and a chip an informative brain of metal), which now we fusion into ‘organic’ robots. And so the change of paradigm from the Greek, Aristotelian and Asian tradition of organicism to mechanism is only a hiatus on a richer, more complex understanding of the whys of the Universe.

Mechanism changed also the language of understanding of the Universe, from Aristotelian Logic to mathematical Platonism, since mathematics was the language used by machines to measure the Universe of time and space with clocks and telescopes; while logic was the language embedded in the syntax of words, which measure time with causal verbs that describe the logic relationships between its 3 dimensions of past, present and future.

So in terms of philosophy of science, mechanism meant a pendulum law that changed the paradigm from Aristotle (organic, temporal causality) to Plato (mechanical, spatial geometry).

This was a wrong choice, because a truly inclusive theory of reality has to put together both languages and approaches as we shall do in this work: the geometric how & instrumental when matched by a temporal why, which must be by definition a causal, temporal process. The 3rdparadigm obsessed by spatial measure was not very kin of such inquire, as Feynman famously put it: ‘the why is the only thing a physicist never asks’. And yet the why has always been a fundamental question of knowledge.

That why should respond to the existence of a program of creation, evolution and extinction of the reality we see all around us, which always gives birth and extinguishes the same entities, repeating their forms once and again. What is the purpose of the Universe and all its repeated parts?

Why they have those forms and follow always a life and death cycle? Thus, scientists, not satisfied with the limits of the 3rd paradigm of measure kept asking the why, which could not be a personal God (the who of the 1st paradigm), neither the machine, the instrument of measure of the 3rd paradigm (‘God is a clocker’ said Kepler, because he used clocks to measure it and ‘God speaks mathematics’ said Galileo, because those machines translated the events of the Universe into mathematical data).

According to Deism the whys of existence are due to a personal being, external to the Universe that makes it all happen and cares for humans more than for the rest of His work.

According to Mechanism, this is due to the self-similarity between the Universe and the primitive machines we humans construct to observe it. Mechanism though needs ‘someone’ to make the machine, which is not self-generated; so it is similar to deism, reason why the founding fathers of science, all pious believers, adopted it as a proof of the existence of God, which had given man self-similar properties – the capacity to make machines to the image and likeness of the Universe.

The problem with those 2 approaches, which in fact are the same is obvious: a personal God is an anthropomorphic, subjective myth and science must be objective; while a mechanical view of the Universe still needs an internal, self-sustained process of growth, creation and synchronization caused by an external God that made and rewinds the clock – as Leibniz clearly stated in his critique of Newton.

Scientists today are unaware that mechanist theories are in fact deist theories, reason why Kepler and Newton, pious believers, liked them; since they were a metaphor of their self-centered, anthropomorphic religious beliefs: If man created machines because we were made to the image and likeness of God, God had created the ultimate machine, the Universe.

Relational space-time does have a philosophy attached to it, called organicism.

We have gotten to the conclusion that all what exists is a fractal point, which seen in maximal detail appears as a super organism performing a world cycle, whose inner parts are structured as cells of the 3 Se<ST>Tƒ networks of the higher entity. Existence in a Universe of infinite Points of View, Œ, means that we co-exist with at least 2 main infinitesimal and infinite planes of existence, that of our cellular parts and the social world in which we live. Thus we are always at the same time:

  • A cell of a larger social body
  • An organism that tries to survive playing the game of space-time åctions, ∫∂(±∆e,i)dt ds=WU∆±1. that is as an organism we shall make a series of infinitesimal exchanges of energy and information, ∂e,i, which will be sequentially integrated into a world cycle of our U±∆ organism.
  • And finally a super organism or ‘relative God’ as a point of view that controls its territory.

Those 3 points of view from above and below and within ∆±1 become then converted into partial definitions of a system from different points of view. But only when we consider ALL the outsider and inside perspectives of the being we can reach full knowledge of it.

In terms of its analysis we talk of certain ‘isomorphic’ qualities or ‘sets’ of laws that all systems follow and try to embody of the full information of the being the most important of it. Thus we shall talk of the 3 structural isomorphisms of all beings:

  • U∆±1. Its existence through 3 different scales of the 5th dimension, subject to different time rhythms and spatial distances, enclosed in a bigger social system in which it performs its cycles of space-time.
  • U∆; Its existence within a single scale as a super organism that traces a world cycle of existence between birth and extinction, ruled by the ternary symmetry between its spatial parts and time functions and ages.
  • Uo: Its existence as a zero point or ‘will’ of existence which forms together with all its inner parts an ‘island Universe’ constructed along a series of planes of the 5th dimension.

This ternary view of the being, in its world cycles of external, social, internal, organic and mental, perceptive existence, conform the being. How to study them? We consider here a simple set of fundamental laws and properties that will resume the system and we call in the jargon of epistemology, isomorphism of the super organism:

  1. The Existential equation of the being, ‘its metric equation’ in the 5th dimension, which defines it and can be developed in ‘nested’ analysis as much as we want but will be generally written as a function of space-time, of the type Se <ST>Tƒ
  2. The spatial view, and its topological 3 type of organs in space.
  3. Its temporal view, and its 3 ages in time.
  4. Its planes of existence, departing from its o-point of view.
  5. Its Actions of Exchange of energy and information, ±∆e,i that determine the being.

And its zero-point of view ‘analysis’ from any of its multiple perspectives.

For example if we consider a galactic organism we would describe the central black hole or zero point, its gravitational and electromagnetic equations that describe its ‘ST networks’, its Se-star systems and to-dark matter systems; its 3 parts (halo, star disk and black hole center) and its 3 ages in time, between its irregular birth and extinction in a quasar, as well as the 3 ages in time of its upper social scale (types of galaxies which can be considered another game of evolution) and in the lower scale (Sp=M  ages of matter, from plasma to nuclear explosion). And so on.

We can diminish or grow in scales and do analysis of its parts and wholes, according to the ternary and dual symmetries and fractal divisions of parts into wholes and vice versa, always following the rule that in a Universe with only 2 parameters all are symmetries of ‘space’ and ‘time’ or ternary combinations of it.

So in this post and the one dedicated to the isomorphisms of the Universe, we shall describe what laws have in common all infinite infinitesimals, that is, all entities extending across 3 planes of ±∆ existence, in which they perform such roles, and then describe most of the system of the universe with those isomorphisms.

Thus in the next line we study the different super organisms nested between two ±∆ planes of existence, starting by the largest of all known to man the cosmic system between the two limits of our perception, the galaxy and the atom.

Then we study in more details those galaxies and atoms, which conform the astro-physical systems of the Universe.

And descend in the nested stair, to life system, human social systems and finally the U0 human centered mental point of view.

The super organism – the ultimate meaning of the game of existence.

There are 2 forms to describe reality – the physicists’ way, which merely ‘sees’ the Universe, quantifies it and cares little for qualitative and relational meanings. In this view, what matters is to find some ‘fundamental particle, which should have substance and be the ‘brick’ of which all other beings are made. Even if that particle were found though, there would be little to say about the why questions of reality, the temporal causal questions, the past to future meanings of it all? Why we exist? why we are what we are? Are we alone and different? What is the purpose of it all?

Relational space-time and the game of existence all space-time beings of finite duration and finite space follow, is much deeper in its analysis, as it is a time theory not a space one. So it simply states this:

‘ The Universe is a game that creates super-organisms of ∆±1 space and time scales’.

Simple, and both mathematical and conceptual. The meaning of reality is to create super organisms across 3 relative scales of space-time, the best combinations of which, known to man are biological systems (extending through a ∆-1 cellular, ∆-organic and ∆+1, social ecosystemic scales) and physical systems (extending through the quantum, electromagnetic, ∆-1, thermodynamic, i and cosmic, gravitational ∆+1 scales); the one we form part of, the super organism of History is the less understood of them all. But all have a set of common isomorphic laws, which define their existence, structure in space, time ages and place it within the scales of the 5th dimension.

So we can say that the fundamental particle of the Universe is a ±∆ super organism, which extends within the U±∞ scales of reality in 3 of such scales, which co-exist tightly related to each other to form a super organism of space-time ‘Œ±1 points’.

U± infinite, this is the potential of the game and Œ,Æ, i-logic mathematics the language that shows all those potentials as a mere logic shape of information, a still mapping of the Universal game.

But in most cases the system is just U±∆, a super organism. This is the logic game the Universe plays, the construction of Universals from infinitesimals. Then all the other games are details of this one. Thus we should consider the queen of all sciences biology, and the fundamental particle of the Universe once we have all the information about a region’s domain of vital space and cyclical times, the super organism:

 

 SOCIAL NETWORKS: SUPER-ORGANISMS.

5D best

image002

All Stiences share the isomorphisms of duality and organicism. Since the forms of ‘—motions’ and information and its properties remain invariant in all the scales of reality. The result is the fractal structure of the Universe, described in the next graph:

Each science studies a ‘scale of organic size’, its cellular species of ‘—motions’ and information and its arrows of time and events, which culminate in the self-organization of those parts into social wholes. Yet the proportion of ‘—motions’ and information of the species each science studies varies, since the Universe displays a hierarchical arrow of growing informative time, from the simplest forms of mathematical space (with minimal informative content), to the complex information of its most evolved organisms (with minimal geometrical regularity).

 

Networks.

The Universe constructs super-organisms, through a causal process, departing from simple, amorphous flat surfaces of energies – herds of Non-Euclidean points with |-Motion.

It is a simple ternary causal event, which is different from the causality of what we call the cycle of life, Sp->X->Tƒ, yet still an essential chain that we shall see constantly in the Universe.

So the next question is how the universe constructs reality, departing from its generator equation. And the answer is: constructing superorganisms, in a causal order.

A form fractalizes, becomes in-formed, and loses ‘—motions’= speed=motion. For example, a line becomes a Koch fractal or breaks into a Cantor dust of self-similar cells; a line becomes a p∆-cycle. In this, simplest and most repeated Sp->Tƒ, we can write 1->3>Pi: a line has reproduces from past to future 3 self-similar motions, then it coils into a p∆-cycle.

The next stage would be then the reproduction of that cycle in a lateral, new dimension of height. In this manner, we have obtained 3 fractal iterations: the line has become a cycle (or a Koch curve or any other fractal topology with more form and dimensions), which has become a tube.

If duality covers simple events, mostly Sp<->Tƒ combinations, when we construct an organism we are playing at least with a causal 4-sequential arrow of time, ‘—motions’ becomes fractal information, which reproduces laterally and so the light of length-speed becomes a time cycle with rotational speed w, whose frequency curries more information, and such form moves like a Maxwell scree reproducing in the 3 dimension of width.

And yet, this rather mechanical sequence of creation of a fractal 3 dimensional Universe becomes far richer in forma and meaning when we add the 4th Eusocial love, of Social time the longest arrow that finally creates a form of stable space-time that exists, a superorganism: SP X Tƒ. Since as time goes by, entities evolve into more complex organisms by the power of love – by sharing ‘—motions’ and information in social networks. The 4th arrow of time evolves socially parts into wholes, waves, herds and organisms:

Particles gather into atoms that evolve into molecules that associate into cells that gather into organisms that create social networks – planetary ecosystems, which are part of solar systems, herded into galaxies that form Universes. Those processes of social evolution occur thanks to the creation of social networks among self-similar (hence reproduced) beings, in search of the same type of ‘—motions’ (hunting herds) or information (organisms joined by nervous/informative and blood/energetic networks). Thus, the arrow of organic evolution derives from the arrow of information that allows entities to come closer and ‘act in parallel’ under the command of an informative language, which we formalize with the social symbol, S. And its reason of existence is to elongate the survival of the organic system: Any cyclical vortex of time accelerates inwards, losing ‘—motions’/surface as it increases its informative speed. When we generalize that concept to all Time-space systems, it turns out that the arrow of information dominates the universe, wrinkling and warping any cyclical system, which will exhaust its ‘—motions’, converted into form.

Thus, our time clocks and vital spaces increase constantly their information, diminishing its ‘—motions’ space, towards a 3rd age of excessive warping and limited ‘—motions’ that will not last forever. Since the cycles of exchange of ‘—motions’ and information, the geometric beats of reality between expansive and implosive, ‘—motions’ and informative states, are limited in their repetitions by accidental errors of all kind, which establish the need for reproductive and social arrows in order to ensure the survival or immortality of those ‘patterns of form’ – entities made of lineal fields and bodies of ‘—motions’; cyclical particles and heads of information, who must be reproduced to ensure a longer existence. This means that only those species able to increase their existence in time by reproducing its form and in space by evolving socially into bigger entities survive.

Recap: The 4 main arrows of time cannot be reduced without losing detail, but they can be philosophically and ‘bio-logically’ grouped as ‘organic systems’. Those organic systems that synchronize accumulate and organize clock-like arrows of cyclical time, are in fact all self-similar, as all can be described with the 4 elements, ∑Sp<=>Tƒ of organisms: cells, networks of ‘—motions’ and information and reproductive systems.

Super-organisms: knots of cyclical Time Arrows.

We are all made of spatial ‘—motions’, flows that seem to occupy space but are ‘vital space’ and have a ‘causal why’. For that reason, all species participate of the geometric and causal properties of the arrows of ‘—motions’ and information and follow the same patterns of self-organization to create a higher ‘space-time plane’ of reality. So, for example, all informative systems will be on top, in the dimension of height; they will be smaller than the complementary ‘—motions’ system and they will have cyclical form, regardless of the species we describe. So DNA nuclei are round and smaller than the cell’s body, heads and antennas are on top and are cyclical and smaller than the body or tower that holds them, cameras are small and spherical, etc.

Since, once we understand the fractal, scalar structure of the Universe, the old distinction between organic and inorganic form loses its meaning, beyond its anthropomorphic role of making man the only intelligent, vital species of the Universe.

The complex logic and Non-Euclidean geometry of those knots of Time Arrows set the formal basis to understand the structure of the Universe and all its self-similar parts. Since:

‘The Universe and all its parts are fractal entities of ‘—motions’ and information.’

Though the specific combinations of ‘—motions’ or information of each species – defined by its ‘vital’ or physical, Universal Constants (‘—motions’/information ratios) – might vary, the space-time structures and cycles of all those social organisms will be self-similar: All entities are ‘cellular societies’ organized through ‘—motions’ and information networks that bring about processes of social evolution.

In all species studied by science a common phenomenon occurs: the existence of parallel groups of beings organized into a single social form. Molecules are made up of atoms and electronic networks; economies are made up of human workers and consumers that reproduce and test machines, guided by financial networks of information (salaries, prices, costs); galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole of gravitational information. Human bodies are organized by cells controlled by the nervous, informative system.

A tree is a group of leaves, branches and roots connected by a network of ‘—motions’ (salvia) and information (chemical particles). Cultures are made of humans related by verbal, informative isomorphisms and economic networks that provide their ‘—motions’.

Stiences study those organic systems, tied up by networks of ‘—motions’ and information. In the graph, we see the main st-planes studied by human sciences and their 4 main time arrows, Sp<=>Tƒ, which in static space give birth to the ‘organic elements’ of all species: social cell of ‘—motions’ and information and the reproductive networks that relate them. Thus, there are 4 basic elements in all organic systems:

  • Cellular units.
  • Networks of ‘—motions’ or vital space.
  • Networks of fractal information.
  • Networks that reproduce ‘—motions’ and information.

All entities are generated by reproductions and transformations of ‘—motions’ and informative cycles (ΣS<=>Tƒ), organized in cellular units, through networks, and ±∆ Planes of self-similar forms. Yet, since those cellular units ∆-1 are made of smaller st-2 cells, which show the same structure, we can define any organic system as a super-organism (made of smaller, self-similar super-organisms):

‘A super-organism is a group of cellular super-organisms joined by energetic, informative and reproductive networks.’

Thus we unify the properties of Universal Systems and the sciences that study them under a single template definition, according to which simple systems and complex organisms will differ only in the degree of ‘completeness’ of its networks and the specific ‘—motions’ or information they are made of:

‘A super-organism is a network composed of a population of (name a particular cell or cycle), related by an energetic, reproductive or informative arrows.

A fractal organism (name an organism) is a population of iterative (name a cellular species), related by informative (name a language or informative force) and ‘—motions’ networks (name a kind of ‘—motions’), which combine into a reproductive network that iterates the organism.

A universal ecosystem (name a specific ecosystem) is a population of several (name the species), related by informative languages (name their languages or informative forces) and ‘—motions’ networks (name the energies).’

Fill the gaps with a specific species, language/force and ‘—motions’ and you can define any network-organism in the Universe. While if the system is composed of several species that occupy the same space but have different networks of ‘—motions’ and languages of information, we talk of an ecosystem:

– An atomic organism is a population of (electronic) ‘—motions’ and (nucleonic) information, related by networks of (gravitational) information and (light) ‘—motions’.

– A molecular organism is a population of atoms, related by networks of gravitational ‘—motions’ and networks of electromagnetic information (orbitals, London, Waals forces).

– A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and genetic information (DNA-RNA.)

– A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and ‘—motions’ networks (digestive and blood systems).

– An animal ecosystem is a population of different carbon-life species, related by networks of light information and life ‘—motions’ (plants, prey).

– A historic organism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life ‘—motions’.

– An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc.).

An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic isomorphisms while economic ecosystems use digital prices) and include 2 different species: human beings and machines.

– A galaxy is a population of light stars and gravitational black holes, related by networks of gravitational information and electromagnetic ‘—motions’.

-A Universe is a population of galaxies joined by networks of dark matter and ‘—motions’.

We establish thereafter a parameter of multiple space-time complexity, st=∆, to classify all those relative scales of spatial ‘—motions’ and temporal information of the Universe, starting by the simplest scales, st=0 (mathematical cycles and lines), st=1 (Gravitational space), st=2 (electromagnetic space), st=3 (atomic particles) and so on, till reaching the most complex, macro-structures of the Universe (st=9, galaxies).

This parameter becomes essential to formalize a type of scientific isomorphisms widely ignored by science, which define the interåctions between several scales of reality. In physics:

– Between the small quantum scale of electroweak forces and the bigger gravitational space-time.

– In biology between the cellular microcosms, the individual organism and the ecosystems or societies in which those organisms exist, as individual ‘cells’ of a bigger whole – the species. Since those relationships are essential to explain all kind of natural and social phenomena, from the life/death cycle (in which cells reproduce, organize socially in networks, emerge as individuals of herds and societies, and die, dissolving again their complex ‘st’ networks into ∆-1 cells), to the meaning of religions, in which humans act as mental cells of a subconscious collective we call God.

At present though, each science studies only one scale of form and its specific isomorphisms and events, as if they were unrelated to the isomorphisms of all other scales and species. Only System Stiences, the philosophy of science considered in this work, studies together the mathematical, morphological and biological isomorphisms that define the 4 main arrows of time and apply those isomorphisms to all the species of each of those scales, since the Isomorphisms of Multiple Spaces-Times are common to all of them, regardless of the ‘specific’ qualities of each species:

– All species in the Universe absorb ‘—motions’, gauge information (even particles, reason why their theories are called gauge theories), reproduce (quarks absorb ‘—motions’ and reproduce jets of ‘quarkitos’; so do electrons that absorb ‘—motions’ and break into a shower of new electrons, and since those are the two basic particles of reality, it follows that all systems can be reproduced), and finally, all entities of the Universe evolve socially, gathering together into bigger super-organisms, from particles that become atoms that become molecules that become cells that become living organisms that become societies, nations and religions, super-organisms of History.

Thus Super-organisms are made of:

– Relative ‘—motions’ and information units (ΣSe, ∏Tƒ), whose cycles/cells of transformation are described by feed-back equations

– 3 dimensions/physiological networks of ‘—motions’, information and reproduction (ΣSp∆-1,<=>, ∆).

– Their ±∆ social Planes that ad ∆-1 cells into ΣExist-ential wholes, parts of a bigger Existential ∆+1 whole.

Recap: The 2 primary arrows of time, ‘—motions’ and information are geometrical, and its properties can be studied with the isomorphisms of mathematical physics; while the 2 complex arrows of time, reproduction and social evolution are biological, explained as ‘strategies of survival’ that ensure the immortality of the logic systems of the Universe.

The shapes of ‘—motions’ and information are ‘invariant at scale’, meaning that cycles of information on one side and forces of lineal ‘—motions’ on the other side, reproduce their shapes and gather together into bigger, cellular, social networks, creating dual entities, made of ‘fields/bodies of ‘—motions’’ (physical/biological jargon) and ‘particles/heads of information’, (Principle of Complementarity). All systems of the Universe are complementary, formed with a region dominant in ‘—motions’ arrows (body or force) and a region dominant in information cycles (particle, head). Those dual, social, whole entities have more ‘—motions’ and last longer in time than individual parts. Thus, species with a limited vital space and time duration ensure their immortality by expanding its size in space and its duration in time, as parts of bigger ‘—motions’/information systems.

The 3 scales of complexity of beings.

The Universe is a binary->ternary system, made of 2 polar elements, which exchange energy and information through a present flow. And so whenever we see ‘something’, the best way to study it, is to analyse its 2->3 elements, ‘first’ and then try to formalise them with i-logic equations. But this binary and ternary structure has 3 ‘different’ architectonical ‘levels’ of complexity.

The simplest events will be merely ST-actions that combine or switch between space and time states, as systems move and perform those ±∆e,i actions.

Then we shall find the next integral stage, when actions are observed to come from a given knot of space-time cycles, resumed in Œ an existential point, EO, in its space-still perception, or an existential function, in its time-moving perception.

And finally we shall integrate Œ-points along a world cycle of existence within an external absolute space-time World, either a super organism in which the point exists, or a larger world in which it performs those actions.

Again we observe this 3-multilayered structure, which we describe as the U∆±1 co-existential architecture of al entities.

Now, since the first of those layers corresponds to spatial motions (we see it externally as the point traces its space-time cycles), it relates to geometry; since the second element relates to the world cycle of existence of the being, it relates to time algebra, and since the 3rd element deals with the evolution of infinitesimals into U∆+1 worlds or super organisms, it relates to Analysis.

If we were to use a more technical jargon, in the 5th dimension the ‘invariant’ forms of entropic space and informative time that do not change are called morphological properties or ‘topologies’.

So for all informative systems, from particles to heads to black holes have spherical form, since the sphere is the form that stores more information in lesser space.

And all entropic systems from limbs to light fields are lineal, since the line is the shortest distance between points.

So we talk of the isomorphism or invariance of topological form in all scales.

There are 5 main co-invariances or Isomorphisms in the 5D Universe, which is one of the key subjects we study in the 5th dimension to describe the Pantheist Universe, in which we are all ‘fractal parts’ of energy and information made to the image and likeness of the whole. The only known to 4D science is the invariance or isomorphism of motions.

We consider here the 4 other, far more meaningful ones.

  • The isomorphism of the ‘3 topological varieties of fractal space’
  • The isomorphism of the 3±∆ time ages and worldlife cycles of all systems
  • The isomorphism of the 3±∆ sT actions they perform.
  • The isomorphism of zero point minds that order reality

We shall try in this article to explain them, to resolve further questions of science illuminated by the wider perspective.

And so when you finish reading this post in progress you will come to the conclusion the Universe is a pantheist universe where all entities from the smallest to the biggest one are similar as they follow those invariances or isomorphisms.

The fundamental of which is the essential fact that all beings go through a life/death cycle with similar properties.

A point has one dimension which grows as we come closer to the point till it becomes a world in itself. Thus we can perceive the point with different Magnitudes that accumulate perspectives, external and internal motions of the point, seen in space as dimensions or in time as motion The result is most often a series of combinations called momentums and energies and informations In the jargon of physics angular and lineal momentum, and vortices of attractive forces closely resemble the nature of cyclical and lineal motions of time.

In other systems the importance being the transfer of information, forms are more complex and we do not find so easily the regularities.

The 5th dimension studies the ‘fractal, scalar’ structure of the Universe of which we, all its parts, which occupy a vital space and last a finite time, are made. All those ‘vital space-time beings’ are organised in different scales of size (so we are made of cells and form part of a global society, matter is made of atoms, and forms part of planets and stars that form part of galaxies and so on. How to order all those scales in a meaningful way?

We can do so by putting them together in a ‘fifth dimension’ of space-time: the dimension of relative size in Space, Se, and relative speed of time clocks, To, which evolve in scalar opposite ways, when we become ‘bigger’ or ‘smaller’. So smaller systems tick faster its clocks and carry more information in the frequency and form of its cycles, than larger beings.

A fact that we write as a metric equation, Sp x Tƒ = ∆(Ei), since the product of both parameters remains constant, (Laws of conservation of energy and information)  a fact that allows the interaction between ‘different scales of reality’ from the atom to the galaxy from the cell to the planet.

Those facts explain all type of phenomena, from the life-death cycle that happens in 3 scales (the cellular seminal scale, the human and the social one), to the Unification equation that puts together the quantum, electromagnetic and cosmic gravitational scales. It is indeed a fascinating subject, a much more advanced philosophy of science than the simplex mechanism of Physicists, which dates back to the work of Kepler, who said, ‘the Universe is a clock and God has waited 5000 (biblical years) to find a person (him) who understands it’ marvelled by his mechanical clock of measure.

Since indeed, a machine NEEDS A MAKER, a God, and so Newton, a pious believer who dedicated more time to biblical studies than physics, also validated the model. Only organisms are self-sustained, self-reproductive, and self-organised… That is why if we take seriously the laws of truth of science, we need an organic model.

The scales of energy and information networks: The fractal Universe.

The previous definition of a super-organism unifies all sciences as particular descriptions of each kind of organic systems. Why there are then so many sciences, if all in the Universe is a system or superorganism of temporal information and/or spatial energy that participates of the same laws?

The answer is that human subjectivism has used many jargons that divide those sciences, itifying most superorganisms with abstract concepts to downgrade them respect to man, the most ‘intelligent and organic species’. For example, the abstract jargon of “space-time”, synonymous of the organic jargon of “energy-information”, differentiates physics from biology; the ‘organic Vs. inorganic’ erroneous denomination of atoms has divided chemistry from bio-chemistry, etc.

Those artificial divisions are solved by a General Systems Theory that becomes the ‘science of sciences’ based in the 2 quantic universal substances, energy and information, its networks, and laws of transformation and social evolution that give origin to all Universal super-organisms and can be formalized using the Generator Equation of Space-Time. The smallest networks of the size of a Planck scale have evolved its information and grown in spatial size through the creation of networks that put together quantic cells into social macro-organisms.

Thus individuals become universals, which act themselves as individuals of bigger super-organisms, in a scale of growing forms that creates the complex, fractal Universe, departing from the simple particles born in the big-bang:

So strings of electromagnetic energy and spins (knots of gravitational mass) form the space-time network that evolved into the 2 fundamental particles, informative quarks and energetic electrons. Then groups of quarks and electrons became the informative and energetic network of atoms. Groups of atoms became molecules. Groups of molecules became cells.

Groups of cells became living systems. Groups of living systems became societies.

Groups of societies became nations. Groups of nations became global planets.

Groups of planets became solar systems. Groups of solar systems became galaxies.

Groups of galaxies become Universes. Groups of Universes become the Hyper-Universe.

The stair ends for our perception, though it might go forever into micro and macro-scales, since the equations of Strings, the microscopic and macroscopic forms of the Universe are equal regardless of scale. Thus we exist in a fractal, social, organic Universe.

Where the total Universe is defined as a Game of Existence and Extinction of infinite super-organisms that communicate information and energy among them. Each species of a certain energy size and informative range is studied by a science. So we classify all different sciences as ‘human descriptions’ of certain universal space-time systems.

Each science studies Super-organisms with a certain range of volume of information and energy or TxS relative force. Physics studies microcosmic atoms; chemistry studies molecules; biology studies the forms of ‘carbon-life’ with a size similar to man. Since man is also a specific superorganism with a specific range of perception of other universal Non AE systems, from microcosmic quarks to galactic macrocosms. History and religion study the social macrocosms of man (tribes, nations, subconscious collective networks of ethic information called Gods, etc.). While Astronomy studies the Universal microcosms.

In that regard, the parallel form and behavior of the species in the limit of our perception, microcosmic atoms (Physics) and macrocosmic masses (Astronomy), proves that the same laws rule all the species of the Universe. Further the key to their morphology and function is the temporal energy they absorb, carried either by Gravitation or by ¥-rays, 2 forces of energy and information with parallel morphologies, which have a range of sizes so wide that make possible superorganisms in all scales.

 

The transcendental arrow of the 5th dimension: Emergence.

In the same manner that the sum of multiple reproductive cycles gives birth to the generational arrow, the product of multiple networks of informative beings gives birth to the transcendental arrow of the 5th dimension that makes parts emerge into wholes, such as:

∏∑² informative particles: ∏ Social networks: Transcendental arrow.

Thus a new dimension of time is the social evolution of organisms into bigger super-organisms, scale after scale, from particles to atoms to molecules to cells to organisms, to superorganisms to the entire Universe with its infinite scales.

Though each organism is when observed in detail a super-organism, if we were to consider a rigorous distinction between both, the difference would be of our detail of perception: a super-organism observes each of its cells as an organism of smaller ‘cellular element’ and an organic view stops in the analysis of its cells.

A fact, which leads to a metaphysical question: it is transcendental arrow infinite in scales; or it is as all other dimensions a finite dimension? Unfortunately an argument on the number of scales of the Universe will always be theoretical, because unlike the other dimensions we cannot observe the absolute totality of space extensions and informative, scales created through time durations to have any experimental evidence of such limit. The Transcendental dimension, the dimension of emergence, studied by the ‘science of emergence’ or transcendental arrow, as it is often not perceived, especially for the individuals who become part of the whole; believers that form part of an eusocial human organism through the arrow of love; physicists, who don’t see the super-organisms of galaxies, etc.

The difference between the transcendental arrow and the organic arrow is subtle. Unlike organic systems mediated by the 4th arrow, the transcendental arrow is far less brutal than the stick and carrot system by which the informative, nervous systems of organisms dominate the cells of its body; in as much as it implies a high degree of homogeneity and collaboration between the parts that transcend.

In that regard, we could consider that the social arrow forms ‘herds’, waves and bodies, while the transcendental arrow is the arrow that puts together complex, informative particles together, and while the arrow of organic evolution would be based in the concept of ‘safety’, the transcendental dimension will be based in the concept of love, as the particles know each other more intimately, and in certain cases can even become fusion in a boson structure, in which all occupy the same space.

Thus the difference between the Generational and Transcendental arrows and its fractal units, the arrows of Reproduction and Organic Evolution is minimal and that self-similarity brings about some philosophical, metaphysical conclusions:

-As in a succession that converges with less difference between terms, the convergence of time arrows seems to indicate that there are no more ‘dimensions of reality’ beyond the Transcendental arrow.

-The Transcendental and generational arrow seems to act, ‘reinforce’ each other, as the generational limit obliges species to evolve into eusocial organisms if they want to survive, hence ‘transcendence’ is the ultimate mechanism of survival in the Universe. In the same manner the Simplex and Complex arrows are intertwined as one cannot exist without the other. Such is the harmony of all the systems of an interconnected Universe.

– The more complex arrows of time seem to create more perfect worlds. If we assign to each arrow a sensation and/or its negative lack of it, blindness vs. perception =information; hunger vs. taste=‘—motions’ feeding, pleasure= reproduction; safety=organic evolution; eternity=generational cycle and love= transcendental cycle, and postulate that all entities of existence are moved to action by the existence of sensorial fields associated to its arrows; we reach some philosophical conclusions:

– The simplex arrows are automated and reinforced by the duality of negative/positive sensations, where the negative sensation is so powerful that it obliges the entity to act without delay to achieve the arrow. We can then image the simplex physical particles whose basic fields is a dual energetic /informative system to be far more automated than the next scale of beings, biological beings dominated by the reproductive and organic arrows.

– Those 2 arrows are what Aristotle called ‘vegetative wills’ and are reinforced by the objective isomorphisms of survival, as those species who do not reproduce or evolve into bigger organisms tend to perish and become food of larger biological systems. Thus, we observe in those 2 arrows and systems a higher degree of freedom, as species can live without reproducing or acting in social groups, but the penalty a ‘posteriori’, extinction is equally deterministic.

– Finally the generational cycle and the arrow of transcendental evolution seem not to be imposed from within the system but from outside and despite of it. Indeed, the generational limits of existence are not positive and certainly not liked by the species, which is subject to it. A solution is found when we realize that the generational limit as well as the organic arrow that creates herds does not affect to the informative cells and its networks; since indeed, black holes are immortal, as the informative elements of the universe and neuronal cells live all the existence of the organism. And so it becomes obvious that the limits of existence of those arrows are imposed by the neuronal, informative networks of the system.

And so the transcendental arrow of eusocial love is the summit of all the arrows of existence, unique to informative networks, whose members know each other deeply, share ‘—motions’ and information in higher degree, command totally the other elements of the organism, last forever, as long as the organism exist and have a higher degree of freedom that all other species. Reason why there is not clear systems of reinforcement. It is the summit of existence, free and eternal, within the limits of the ecosystem or super-organism in which those cells exist.

Recap. The transcendental arrow makes individual organisms transcend into super-organisms, creating the scales of the Universe.

The function of existence of the universe.

We humans have a clear limit in our perception of those scales, given by a series of parameters proper of radiant matter. We can’t see beyond quarks and galaxies; we can’t absorb information coming from faster than light forces (non-local gravitation) or perceive ordered vibrations below 0 K temperature. It is a metaphysical question to wonder if those are the hard limits of reality; in which case the smallest point, the quark, won’t be as Leibniz put it, a world in itself, but a hard limit: the simplest rotational movement or ‘spin’ of the Universe; or they are, as I believe, only the limits of human perception.

Then all what exists is truly relative in its scale, and the atom is an object self-similar to a galaxy, which would reveal infinite detail if we could approach the ultra-diminutive Planck scale. A fact, which translated into fractal notation, gives us the simplest formalism for all Universes, sum of all potential cyclical forms of all its ∞ fractals:

∏ (∑e <=> ∑2i)∆=∞       Universal function of Existence

The previous equation resumes all the possible infinite combinations of cycles of times, made of ∆-points in communication, that create all type of networks of ‘—motions’ and form, which become complementary organisms, and start a function of existence. So first ‘—motions’ appears, ‘—motions’ becomes form, ‘—motions’ and form reproduce and create social organisms with the reproduced cells.

We can observe the universal equation also as a game that grows causal dimensions: from lineal ‘—motions’ (1) comes from (2) and both combine to reproduce (3), self-similar waves of being.

This simple description of the game of the Universe, S ->ST->SxT->∑ext, is already present in Taoism (from 1 comes 2 from 2 comes 3 from 3 the infinite beings, Cheng Tzu). It resumes the constant, dimensional creation and extinction of reality (as finally the racialization of so many cells, exo, dissolves the form or the form explodes and dies in a big bang).

The Cycles of the Universe are thus self-repetitive; sine as Taoists understood, the universe you see is not its function of existence, which is expressed in that synoptic equation. The processes of creation and destruction of planes of existence however are too complex to study them as a whole without doing some basic distinctions. To start with there are two different type of arrows, simplex, Se<=>Ti processes, more proper of physical sciences (as in changes of state by increase of ‘—motions’, from solid to liquid to gas or vice versa; or as changes from lineal energetic motions into cyclical vortices, as in E=Mc2), are easier to analyze as they happen in the same place of existence. But we, men co-exist between the quantum and galactic scale of physical objects and between the cellular and social scale of biological beings. And so most of the events we must consider are events that take place between 3 co-planes of existence. In physical events between the quantum, human and gravitational planes and in biological events between the cellular, human and social plane.

The human mind is an I=Eye+wor(l)d who selects perceptively from the infinite number of forms of the Universe only those that matter to us. Thus, we do not see beyond the galactic, gravitational plane; though there are hints about a network structure of Galaxies, a big-bang model, which in organic terms would mean the birth of a first cell-particle that reproduced the entire cosmos and a model of fractal space-times with infinite scales of size that this work represents. Since the classic model of space-time continuum only considers a single light-space, our existential membrane with limits of ‘—motions’ and information (c-speed, 0 Kelvin).

Yet both in human and cosmic organisms only multiple space-time scales explains those cycles of life and death, which happen as a ‘travel between 3 scales of size, the cellular semen, human individual and social super-organism of history. In the same manner cosmology needs to grasp the fact that physical space is organized in 2 planes, the electroweak membrane we exist in and the gravitational space membrane of masses, and gravitational forces, which we do not perceive. Yet it is needed to resolve the meaning of dark matter, dark ‘—motions’, gravitational non-local action, the death of light into gravitational space, its formation of a background radiation, the actions taken place in black holes, etc.

Recap: A Non-Euclidean space or plane, defined by Riemann in the XIX C, is a network space – a space created by a network of self-similar points, related by constant flows of ‘—motions’ and information, whose properties are defined by the degree of ‘homogeneity’ or self-similarity of those points.

So your body is a discontinuous spacetime, a small world in itself, constructed with 3 clear ‘cellular spaces’, the nervous space, an informative network, the ‘energetic space’ – your digestive and breathing networks – and a reproductive space, the blood and hormonal networks and organs. We shall see then reality in organic terms as a series of ‘network spaces’, which will have all the properties of Non-Euclidean spaces (motion, curvature, dark spaces in the ‘holes’ left by the network, etc.).

 

THE GENERATOR EQUATION OF THE UNIVERSE

energy information good
In the graph, the Universe is a fractal of space-time symmetries across 3 vectorial dimensions of formal motion, the dimensions of space (and its 3 sub dimensions, length,w width and height) the dimensions of time and its 3 sub-ages (entropy, present iteration and future form), and the dimensions of Eusocial Evolution through planes of existence, or long arrow of time.

The interplay of those dimensions and form generate the Universe:

The first equation of time-space, deduced from the previous graph and its bio-topo-logical beats, space-form->motion-time->space-form->motion-time, is the generator equation of the Universe. We can with existential algebra, ®, define a wave-motion in time, which in its simplex generator will be hyperbola:

343-

In the graph we can see the simplest TŒ, Time equation or function of existence:

Œ: Tƒ=K/S.

Whereas T is time frequency of a time cycle, hence the inverse of lineal time duration, T (reason why we use the To) Symbol.

And space is lineal motion seen as still form.

In other words we could write,  Tƒ =1/T, To=1/S, whereas T is lineal time, perceived in motion as still space.

This is thus the beginning of it all, the existence of cyclical, accelerated time motions and lineal time motions seen as circles and lines of form. The 2 dualities between motion and stop, and between cycles and lines is at the origin of all the realities we perceive and all its events and combined forms of space time.

Thus we could say:

The Universe is immortal because time never stops. Time never stops because time is motion. Motion never stops. It is conserved. Two motions are conserved angular momentum and lineal momentum. They can be seen in a slice of present space as form, or they can be seen in the interplay of its formal motions. Cyclical motion is faster so we call it time, and clocks of time are used. Nature has accelerated time vortices, from hurricanes to masses (equivalence principle of einstein between the curvature of the time cycle or mass and its speed or acceleration), to charges (similar equations to gravitation). Those time cycles of different size are ordered with the previous equation, converted into metric equations:

Sp x Tƒ (substituting now cyclical time for lineal time) = K.

This means Time fluctuates along 3 points of the hyperbola.

Screen Shot 2015-10-31 at 10.58.01

And so one creates 3 points. Max. Sp x Min. Tƒ , Sp =Tƒ and Max. to x Min. Sp

Now we write with those laws a fractal generator equation of infinite space-time existences, the metrics of the 5th dimension:


In the graph the Universal fractal of infinite beings of space-time with different speeds in its clocks and sizes in space, whose product however, Sp x Ti, space size for speed of its information cycles remain constant, creating a ‘stable space-time being (ST±4) which happens in different combined size from the smallest. infinitesimals ST-4 to the largest Universe, ST+4.

All fractals have a generator feedback equation and the Universe is not exception. Generators are dynamic, cyclical equations which constantly create slightly changed new ‘cycles’. As such they are periodic cyclical equations of the form X < = > Y, where obviously X and Y are symbols as in all ‘Universal grammars’ linguistic representations of the Universal Generator (mathematical jargon in Space-time) or Universal Grammar (Logic Jargon in Time-space)>

Universal Generator/Grammar:               Tƒ ∑ExI=ST±4

We write the Fractal Generator expressly with one of its similar identities, in an expression which can be understood logically in wor(l)ds, the fundamental grammar of the human being.

In its Topo-Bio -logic ternary identity, ‘Topological i-planes of Vital Spaces and Cyclical Times’ need to be described topological properties (5th dimension metrics), Organic properties (which organize 0±1 vital spaces into a ternary organism) and logic properties (the ternary Non-Aristotelian logic of cyclical times which return in a ‘Hamiltonian’ Cycle to its origin.

The generator equation thus can be used to deduce from its topologic, biological and causal properties any other equation of the Universe.

It cannot be achieved such a feat as physicists of lineal time expect, only with topologic properties and only in a single continuous space-time.

It needs to understand the metrics of the 5th dimension and its relative scales of absolute time (ST±4), between invisible forces and invisible cosmos, beyond our perception (C speed, 0 K limiting borders). And this is achieved with the summit of the evolution of mathematical languages, the Non-Aristotelian, Non-Euclidean i-logic topology of vital spaces, of organisms, of geometric forms with speed-motion, constantly performing ∂a, accelerated actions with 3 ±= stop and go motions…

 

THE BIOLOGICAL PROPERTIES OF THE UNIVERSE

The aggregation of time-space actions, ±∆e xi, st, in which a system emits and absorbs energy and information evolving socially with similar Œ-points to form social wholes somehow become ordered into a finite pattern, which is a world cycle of life and death.

this is the most mysterious, fascinating, when understood intelligence of the Universe: how the actions of individual selfish self-centred points of view, observing and absorbing energy and information for its own advantage end giving up that energy and information and dying, and yet at the same time, if reproduced, will endure its own game.

The next level thus after the analytical level of the fast timespace actions of physical space is the synthetic level of biological organic space-time ages and world cycles of change of the inner parts of the system through those actions which accumulate in time, integrating into the 3 ages of the system.

We have studied in the first ‘sentence’: 3 Time motions x  Infinite-simal ‘still spaces’ = ±∆actions; the detailed, minimal space-time cyclical actions of the Universe performed by each Œ-point, as it tries to preserve its temporal existence

This first level of awareness of reality is mostly a topologic, mental point of view, as a given ‘particle-point’ defines its actions of exchange of energy and information ±∆(a,e,i,o,u) in order to survive, reproduce and ensure the immortality of its ‘logic form’. In this game, each point will however fail to survive as an individual ‘zero point, an ego-center with a mapping of ‘still spatial memorial’ images of reality stored in its ‘time wave of past’  with a synoptic, logic temporal language of minimal ‘volume’≈storage. So we humans die away but leave the genetic trace of our sons.

Our memorial verbal mind however disappears. If we consider the smaller point-particles of the Universe, electrons and quarks, and photons, they might not record any ‘trace’ of its motions, within its topologic brain but then again, the existence of spooky quantum effects (synchronicity between entangled particles) and the hypothesis of infinite scales theoretically proved by the infinity of digits in irrational numbers and the unification equation of charges and masses, as 2 relative vortices of time, might make each atom a galaxy of a lower scale, hence each proton a black hole of a galaxy of a lower scale with plenty of informative storage to record the entire actions of the galaxy (the black hole in fact has an ‘homunculus’ equation, since in 5D metric its equations are homologous to those of the galaxy in 4 D).

All this said, the reader should realise that ‘existence’ and ‘survival’, is the ‘goal of the will of each point of view’.

And yet all of them fail and go through the sequential order of its time-space actions from an energetic youth of maximal ±∆e motions and feeding, to a balanced age of maximal ∆i-teration, and reproduction, into a 3rd age of maximal ∆o,∆u, information and integration as part of a whole social system, in which the entity will perform actions for the larger whole or social group (from its family to its society). Why there is such sequential order in 3 ages that precludes the extinction of all spatial minds and memories? We might say that time motions keep erasing the past, as there is not in the total Universe enough storage for its information.

The past becomes then a fading track of those motions, but, and this would surprise the biased, subjective mind-oriented linguistic brain of the logico-mathematical-verbal scholar, minds is what the universe of time motions does not conserve, space-information in stillness dies away as motions are eternaL. The Universal substance is motion, space-stillness is mostly a recess, a mirage of the still mind. So motion continues, switching from action to action, from expansive, entropic energetic motions of death to informative, accelerated, cyclical vortices of logic time, and only the present dynamic repetition, iteration, reproduction of fleeing spaces preserves part of those memories reproduced in new games.

In this post we shall thus study the straight-jacket of existence – the world cycle between birth and extinction that all species follow as they travel through the planes of the 5th dimension. We shall describe that world cycle for all systems of the Universe, which become in space super-organisms, U∆±1 displayed across 3 scales of existence, and in time, world cycles that integrate all its actions in a ‘Hamiltonian pattern’, with a max. point of energy a balanced stationary E=I point of adult maturity and reproduction and a 3rd maximal age of information and minimal age of energy, prior to its explosion of entropic motion, erasing of memorial past and death.

The Worldcycle of Existence: Order in the motions of time

BIDIMENSIONAL

In the graph the equation of the 3 motions of time and its 3 symmetric only varieties of 2-manifold spaces, seen in sequential order AS the 3 ages of all systems.

We can describe those ages from the perspective of its 5D metric order as systems are born in the i-1 cellular/atomic, relative scales of minimal size and maximal time speed.

And then it will evolve in growing scales of the 5th dimension sum of ‘layers of space-time’ that co-exist and organise beings through 3 such scales (the i-1 cellular, atomic electromagnetic scale; the i-organic, thermodynamic human scale; and the ∆+1 social, gravitational comus scale), infusing systems of an organic, biological, synchronic interactive nature…

Those 3 ages represent the symmetry of time space. As those 3 ages are in space, when we see them in stillness, the workings of 3 functional organs:

Lineal and toroid limbs/fields of energy/maximal lineal motion, since the line is the shortest distance; spherical, particles/heads of maximal information that command the system, (since the sphere is the geometry with maximal volume in minimal space); and its body/waves that reproduce the energy and information of the system. But of course our space is limited, and our time also.

This ternary symmetry will be everywhere in the Universe, from the 3 parts that assembly a virus (spherical/polihedrical head, injecting body and lineal legs) to the 3 ‘ages’/solutions to Einstein’s equations (big-bang expansive age, steady state age, and implosive big crunch age).

And so all systems assembly themselves by the interplay of its 3 motions that become 3 forms in space. The beat has now widened to the 3 canonical only varieties of bidimensional space-time. Since nothing can be made with other varieties, those 3 suffice to create the reality of systems of space-time including man.

And then we add the 3rd element of mathematics and T.Œ, that of analysis, of social numbers growing into wholes, creating new scales of the fifth dimension.

Since numbers, which are societies of cloned forms – so 2 are 2 pieces of something – requires that larger numbers come after smaller ‘parts’, we shall then find that besides the ‘fast time cycles’ of life and death, there is a relative dominant future, which is NOT as physicists pretend, the arrow of relative past, entropy disorder, but the arrow of relative future information.

As numbers grow in cardinal, as parts become societies that become wholes, after parts have assembled. So the Universe grows in scales from particles into atoms, molecules, cells, organisms, planets, solar systems, galaxies and clusters…

And this justifies our ‘definition’ of a relative future as the arrow of cyclical time, social evolution, order, organisation of loose spatial herds into tighter organisms, with its circadian cycles, of loose stars into spiral galaxies and then globular ones.

Ultimately we can also explain those facts in logic terms. The head/particle gauges first information, comes ahead and on top, and so ‘defines’ and designs the future motions of the whole, whereas the legs come downwards or backwards, last, in the relative past of the whole.

Thus indeed, physicists with their error of lineal time and single entropy motions got it all wrong.

They didn’t understand the thoughts of God, ‘the seer of time’ (Augustine), only some of their details.

Fractal Space; time cycles and its space-time actions of existence across its 5D social, organic scales.

The game of existence is simple but in its infinite combinations, enormously complex. Non-Euclidean points of different sizes and speeds, perform cyclical space-time actions, breaking and integrating motions into forms, building replicas of themselves, and using other’s species momentum to do so. Beings are out there hunting for momentum, exciting its energy to reproduce its form.

It is a vital game but of only 3 elements, the time cycles, the vital spaces they inform and the parallel planes in which its multiple time clocks and vital spaces order in a harmonic fashion.

We can thus build on the 3 simple elements of fractal space-time, ‘time cycles’, ‘vital spaces’ and the ‘fractal scales’ of the 5th dimension a Theory of Everything.

Since everything, is made of the duality of cyclical clocks that break space into vital spaces with energy/motion; who perform 5 cyclical actions of space-time to ensure their survival (hence a program of existence imposed mechanically as those who by chance or conscious behavior or mechanical one did not follow those 5 actions are systems that no longer exist), and through the 5th of those actions evolve socially from past simpler systems into future systems, creating a complex, fractal scalar, organic, pantheist universe.

Yet all qualitative analysis of reality requires a formal, logic model and so each of those 3 elements of ‘scalar’, ‘spaces’ and ‘cyclical times’, requires a more advanced, evolved mathematical≈spatial, logic≈temporal and organic≈scalar formalism.

The symbols of the Generator Fractal. Qualitative and quantitative analysis. 

Thus the fractal generator defines the logic structure of all Systems of the Universe. And when we substitute each of its dimensional symbols for a specific variety of the dimension, we obtain a certain species of the Universe. In the next graph, we see the entire Universe generated by the Fractal generator of 10 Dimensional Superorganisms, written above in simplified terms:

HUMAN ACTIONS

In the graph the dimensions and symmetries of the human being along its time motions ordered in 3 ages, integrated in the generational cycles, its spatial forms, organised around 3 symmetric networks of energy, reproduction and information, and deviated into 5 a,e,i,o,u actions of exchanges of energy and information with ±i scales of the 5th dimension. The formalism that studies all those symmetries in space is ‘Œ’, i-logic geometry and its expression on time, is Æ, Existential algebra… They require to adapt present mathematical and logic formalisms to the existence of infinite broken entities of space and time… but essentially work on the 3 classic fields of mathematics, the geometry of points, algebra of sequential numbers of increasing size, and analysis of parts and holes, to extract the fundamental laws of space-time from where all other laws will be derived.

The Universe is made of 3 motions of time which assembly in ternary systems, perceived either as fixed instants of ‘space’ with 3 2-manifold, spherical, planar or hyperbolic surfaces, or as 3 dynamic motions in time, entropic, expansive, planar motions, repetitive, hyperbolic motions or spherical, accelerating inwards, vortex motions.

The stop and go, space and time, surface motion, duality is thus the beat of the Universe.

Its symmetry between what we shall call the 3 dimensions of space and the 3 dimensions of time, is the meaning of it all.

We are in that sense organisms made of space-time symmetries.And to study them we shall define 6 dimensions of space-time:

  • Sp x Te: Length, motion, lineal toroidal past entropic forms of space-time.
  • ST:  Wide, wave-body, repetitive hyperbolic present motions and forms of space-time
  • |-S x Tƒ: Tall, cyclical, spherical, inwards, accelerated vortices,future  clocks of space-time.

The ternary symmetry between lineal motion and length, and toroidal fields/limbs; between wide, repetitive, wave-body motions and tall, spherical, perceptive heads/particles is thus the origin of the ternary, diffeomorphic constructs of the Universe:

image018BIDIMENSIONAL

In the graph, modern topology uses the concept of networks of points to define the 3 varieties which assembly into organic space-time systems, across 3 dimensions of diffeomorphic space, the energetic, reproductive and informative networks that play 3 sequential roles in time, during the young, past, energetic age, mature, reproductive adulthood, and 3rd informative age, creating a world cycle, as they exchange ∂o,a,e,i,u actions of energy and information across the external absolute ST±planes of space-time of its universe, in order to survive; evolving ∫u into larger wholes. This is the pantheist organic Universe in a nutshell. And a more analytical way to describe it is through the study of its social networks, the ∑U-1 parts that form its wholes.

Those entities then are perceived as forms or as motion, in the next, higher scale in which they perform actions with momentum, origin of the beat between stop and motion, perception of information, internal evolution and external translation in space, time and space, energy and form, which multiplied in zillions create the Universe.

Now the symmetry between stop and go, space and motion, mind and reality, stillness and dynamics, derivatives and integrals, etc. etc. this is the stuff of which existence is made. How we can then graph all the possible symmetries, space-time transformations, and dualities and ternary symmetries and asymmetries of reality? There are many mind models that can do that. Humans have a best one, in the ternary parts of mathematics, analysis of 5D planes made of infinitesimals, with its inverse derivative and integral time arrows from relative past to future and future to past being the best:

Bell CORRECT

In the graph, the co-existence of systems in at least 3 inner scales of vital space-times, and 3 outer scales (the society, world and cosmos), make the total ‘dimensions’ and possible relationships of exchange of energy and information within the limits of perception of an Œ±4 Point of view, very wide.

In the graph, the 9 planes of existence that humans perceive and enact with them through its 5 actions: ∆A±4 (motion through the i-4 invisible gravitational fields of minimal size and maximal ∆+4 extension throughout the cosmos; ∆±3 (perception of information through the absorption of ∆-1 light quanta emitted by the stars of the galaxy), ∆E-2, absorption of energy food, reduced to amino acids that become our bricks to construct life), ∆Œ±1, reproduction with other human beings of a seminal cellular seed that will emerge as us, i, to play the social actions ∆U∆=∆+1, which does finally create our ‘Universal’, the societies of Humanity. It is thus clear that we do perceive those scales because they are the ones we interact with.

In the graph, the dimensions, planes and scales of all Universal systems and species can be better ordered from a past of lesser information into a future with more social organisation, given the fact that ‘scales’ have an ‘arrow of future organisation’ (you cannot construct a molecule without making first its atoms and an atom without making first its particles, and you cannot make a society without making first individuals and individuals without making first cells), there is a general arrow of ‘future time’, towards higher organisation.

So it is more correct to define not only 3±1 scales of isomorphic structure in all organisms and physical systems, but also 3 relative arrows of time for each of them, past, present and future. And all together, the 3 dimensions of classic space, the 3 of causal time and the 9 i-somorphic scales, which are ‘finite’, ‘fractal dimensions’, limited by each species, limited vital space, limited time and limited scales of co-existence form a ‘whole’. 

The graph shows them ordered in size and evolutionary informative time. And it shows also the duality of ‘heads/particles’ made of cyclical clocks of time.  We can see this duality of systems always with an informative centre and a body and an external lineal field, the energy system or lineal limbs to move:

The full study of all the relationships and symmetries of a being will give us its total 5D structure:

In each of those scales the Œo human point of view will have probed across its inner or outer space-time action to exchange energy and information. And so each of those space-time actions, which can be classified on 5 groups, accelerations and decelerations that emits energy, energy feeding that absorbs it (±∆E), reproduction that emits informations, and observation that absorbs it (±∆i) and networks creations of topological organic planes from parts… conform a series of symmetric and asymmetric groups that establish flows of communication between point-parts of each scale:

image090In a Universe of ∞ scales – hence of Absolute Relativity – the i-number is relative to the limits of the perception of the observer that classifies them. So as humans we perceive between 2 ∆-limits – the atom and the galaxy, which might be self-similar, as black holes and quarks, their knots of information show self-similar equations in 5D metric and 4D metric that models a galaxy as a hydrogen atom in the Einstein-Walker space. In any case they form the minimal and maximal scales of Human Sciences, creating our Se-size arrow.

Thus, if we use a decametric scale, for the physical World  with 2 limits beyond our perception, 0 (gravitational space-time) and 10 (Hyper-Universe), we establish an i-parameter of space-time planes, ∆Se=∆Tƒ, to classify all those relative scales of spatial energy and temporal information, each one studied by an ∆-science that in the 2nd part of this work we analyze with the co-invariant metrics and derived Isomorphisms of the 5th Dimension. While in parallel, we can also establish a relative ∆-scale to study Living Systems and the Human World. Thus the main |-energy and 0-clocks of time of each scale for physical and biological worlds will be:

1st Scale: Open strings of energy and closed time strings: Strong Forces & Gravitational space-time.

Bosons: |-Light and O-Photons.

2nd Scale: Fermions: |-Electrons & O-quarks.

Atomic Organisms: Periodic Table.

3rd Scale:  Inorganic and Organic Molecules

4th Scale; Life Cells. States of Mater: Energetic Gas, ExI Liquid and Informative Solids.

5th Scale. Life organisms; Energetic Plants; Informative Animals. Organic Metal-Machines

6th Scale: Planets. Human Civilizations; Economic Systems.

7th Scale: Sp-Stars & Tƒ-Black holes.

8th Scale: Galaxies, which might be the beginning of a new Scalar Game.

9th Scale: Universe, which might be a Gas cloud of Atoms of the new Scalar game.

And each of those planes, needless to say have different speeds of time information, which we measure and compare according to their frequencies

Thus the key element of the 5th dimension is the study of its planes of space-time.

 

TOPOLOGICAL EVOLUTION.

image007

Evolution follows the arrow of growing information, increasing both, the dimension of height and the social organization of individuals into herds and complex organisms, through a common language of information.

The Evolution of Information.

In the graph, the understanding of the arrows time, its dimensions, causal order, and the way in which they evolve individuals into social organisms, can also resolve and advance the science of Biology and evolution. Since living beings are also knots of time cycles of Entropy feeding, information gauging, reproduction and social evolution, perceived as still organisms, whose purpose is to evolve individual ‘cells’ of the same species into more complex beings. Thus chemical life cycles chain each other into complex systems called cells that evolved into bigger scales, till creating the biological cycles /clocks of information of human beings, the most complex informative species of the Universe. Further on, the duality of cycles/particles/heads of information, complementary to energies/lineal motions/forces/bodies also applies to biology, where bodies and heads create living systems.

How life evolves is disputed between evolutionists, who believe in a selective chaos and creationists, who think there is a design. Time Theory shows that neither is wrong or right. There is not a personal God that creates us – an ego trip of religious fundamentalists – but there are limits to the chaotic forms of evolution, set by the fact that the morphologies of Entropy and information are fixed by the efficiency of energetic lines and informative cycles, by the need of complementary designs, by the existential arrow of social evolution and reproduction that favors survival; and ultimately by the mathematical topologies and dimensions of ‘fractal information’ and spatial Entropy, which define the outcome of evolutionary tendencies. Indeed, watch the drawings of different life beings made of informative nuclei/heads and reproductive body. Informative systems are always smaller than bodies.

They are always on ‘top’ of bodies, perceiving more from the advantage point of view of the dimension of height. Further on, since information is bidimensional, informative systems are bidimensional (only a few animals have 3-dimensional vision). A book, a screen, a pulpit, an antenna, emits information from its top. A head, a camera, an electric field is on top of a body of Entropy.

This dominant arrow of information is dimensional; so species increase its height dimension, from planarians to human beings, a tall species of information. It is topological, so they evolve cyclical forms or heads on top of lineal forms or bodies. And it is eusocial, so they evolve from individual cells into social organisms through a common language of information (insects, human beings). Those dimensional, topological and eusocial isomorphisms complete Darwin’s Theory of evolution:

Ultimately, each species made of self-similar individuals is also a cellular super-organism, which follows the same causal arrows of organisms, with an increase of information towards its ‘3rd age’. Those 3 ages of ‘life’ in cellular species become then the 3 ‘horizons’ of evolution of species, which start as energetic, planar top predators (first shark fishes, first worms), with minimal size. Soon the species goes through a young, energetic age of growth in spatial size. Then it follows a II horizon of speciation and massive reproduction of the species (radiation age); and finally the species goes through an informative age of evolution in height and brainpower.

Then, either a new, more evolved species appears, causing the death of the previous species, which becomes extinct or dwindles in numbers; or the social evolution of the individuals of the species reaches such a degree of integration, through a common language of information that a macro-organism emerges. So ants successfully create superorganisms called anthills becoming the most successful animal on Earth, whose total life mass is equivalent to the life mass of humans, which also organize themselves into super-organisms of History, our Gods and civilizations. The success of those 2 species shows that the ultimate survival strategy in the Universe is that of social evolution. Since the total mass of ‘ants’ and ‘humans’ are the biggest ‘living masses’ of the planet, as the most complex social superorganisms of Earth.

Recap: Life species can be considered as superorganisms made of individuals=cells, which evolve through 3 horizons=ages, following all the geometrical and logical isomorphisms of space-time systems, as life systems are also complementary systems made of reproductive bodies and cyclical heads of information.

The fifth dimension of time: generational cycles.

Species become extinct or preys of trophic pyramids, if they don’t evolve informatively in social super-organisms, since as species their generational existence is also fractal, finite: all species have a genetic clock, the telomeres, which make them degenerate after a set number of reproductions.

It happens to cells that become cancerous or suffer apoptosis after their telomere clock stops; it happens to organisms that degenerate, especially in groups with little genetic diversifications; it happens in light that gets tired after 1010 years light of wave reproduction; as it is the best explanation of the cycle of light/dark Entropy; it happens to others particles whose mean life is often confused as in the case of light with its total sum of generational, particle/antiparticle, wave/particle cycles of existence; and it happens to cultures and civilizations, which have a decametric cycle, becoming destroyed every 800 years after 10 human generations. Yet those who evolve socially as ‘organic cells’ of a bigger organisms, seems to survive the generational cycle, since an organic cells needs less Sp X Tƒ force and it is protected from the environment by the bigger superorganism it lives in.

Recap. The 5th dimension of time is the generational clock-cycle.

The existential force. Strategies of survival.

We conclude that evolution is a guided evolution of form: Species evolve towards higher information. And those who don’t increase their capacity to understand the language of information of its ecosystem with better brains and better social systems become extinct in its relative universe. In the graphs we trace existential curves of species that survive better thanks to their informative arrow:

image010

In the graph, the Universe favors Top Predators, which are species with the maximal ‘existential force’, Sp X Tƒ (particle with more momentum in physics, M(o)xV(e); top predator in biology). Those species survive better as they perform better åctions and so ‘fill up’ the present Universe. Yet that simple equation is maximized when o=e, favoring a balance between the field and the particle, the body and head (‘mens sana in corpore sanum’).

The outcome of that simple law is the massive reproduction into the future of the top predator entity, which becomes for that reason, the ‘species that survives into the future’; while the species with less Entropy and information become extinct. However information is always relative to the bigger ecosystem in which the species exists, whose language of information defines that ecosystem. Thus in the galaxy, where the dominant language is gravitation, the black hole dominates the system; in this planet where the language is light, the species with better eyes (squids, then amphibian-reptiles, then mammals, especially felines with night vision and apes with 3-dimensional vision, and finally computers that will ‘talk’ with images dominate. Finally in the economic ecosystem made of humans and machines, the country with better memes of metal, better weapons (metal-Entropy), better money (metal-information) and better machines dominates and reproduces its technology worldwide.

Entropy and information motions become the generating, primordial cellular units of all species, including humans. Any system of reality is complementary. It has both -a lineal limb/force of Entropy and a processor of information or cyclical ‘head/particle’- which co-exist and evolve together. So the Law of Complementarity relates both inverse arrows in a static field/organism, creating complementary systems, composed by systems that process Entropy or ‘fields/bodies’ (physics/biology) and systems that process information or ‘particles/heads’ (physics/biology). How can we measure the efficiency of the 2 parts of the system together? Through the existential force.

The existence of multiple knots of Time Arrows implies that in the Universe of multiple time cycles, the words past, present and future, are also relative, quantized to each individual, who lives his past/youth or age of Entropy, present/maturity or age of reproduction and future/old age of information before dying, dissolving its exi=stence. Thus we need to analyze the relationships between entities which are in a relative past and interact with others that are in a relative future.

The simplest case is a family relationship between a grand-father, a man of the future with the wisdom of knowing in advance the cycles of time that his offspring will live, and its younger, less informed species: the young learns from the elder knowledge of previous cycles that will happen to the ‘past being’ into his future.

If we draw the example from different species, however the encounter will be Darwinian and only species which share the same information evolve together. Then the old, more evolved species with higher information will dissolve the simpler species into its relative past, as victim: there will be a Darwinian fight and the more evolved time knot from the future will kill and feed on the simpler form. And that is why we can establish that the relative future is guided by the arrow of information and social evolution, which creates better species. Since in a contact between past and future species, the future species survives, due to its better Entropy and information, its better existential force. It is thus possible to study from a mere temporal, evolutionary perspective the outcome of encounters between different ‘knots of time’.

When we consider the 2 ‘simple’ arrows of time that create the future, Entropy and information, as we do in Duality, all simplifies and explains itself, like it happened in earlier astronomy when Copernicus put the sun in the center. And one of the things it simplifies is the meaning of survival, which can be resumed in a simple equation: Max Sp X Tƒ = Survival. This function Sp X Tƒ, is the existential force, which explains that a species with the best Entropy body/force and informative particle/head will survive.

The existential force is equivalent to a particle’s momentum, Max MV, which determines the survival form in material collisions. In biology the species with better body and brains survives, which made lions and humans the top predator species of this planet… till we invented weapons and computers, energetic and informative species, made of metal, which now we fusion into robots, potentially the new top predator species of this planet. In the galaxy the highest existential force or momentum is that of a black hole. And it is proved in the Galaxy that the collision of a black hole of any size with any type of star converts the star into a black hole.

An important characteristic of the Existential force is that it favors a relative balance between the Entropy/body/force and informative/particle/head of the system: the more self-similar are both in quantity of cells and the higher the number of its networks/connections, the more synchronic they act together, and the higher the Existential force of the system is. This fact is the origin of the classic, harmonic, ‘beautiful’, mature state of most forms of existence that are in balance between both parameters, in a ‘mature’, steady state age.

Recap: The Universe selects the species with maximal Entropy and information: Max. Sp X Tƒ ->S=T. It will be a biological top predator or a particle with maximal momentum.

REPRODUCTIVE ARROW: FRACTAL NETWORKS

Screen Shot 2016-05-15 at 15.31.07

In the graph, several experimental proofs of the fractal, organic structure of all beings of reality: On the left, the Sloan fractal map of galaxies and its comparison with a neuronal cell; on the middle, an ice fractal, a plant and a river; on the right, a cluster of galaxies and a lung.

Fractal and non-Euclidean mathematics have evolved our understanding of information in topological terms, defining a new Fundamental particle of the logic/geometrical Universe, the Non-Euclidean Point, which unlike classic Euclidean points, has inner parts – an informative center and a field of ‘—motions’ that moves it. Such points constantly communicate ‘—motions’ and information with self-similar points, through non-Euclidean lines (waves which share the ‘—motions’ and form of those points), shaping together ‘Non-Euclidean space-time planes’, the network-entities of the graphs, which all structures of nature constantly reproduce organizing a canvas of simpler, energetic ‘cellular’ motions.

From the simplest particles, quarks and electrons that absorb ‘—motions’ and reproduce new particles to the most complex informative species, human beings, reality is made of bits of information and bites of ‘—motions’, evolved in complex, social networks through fractal scales, from atoms to molecules, to cells to organisms, planets and galaxies. We can mathematize those processes using non-Euclidean topologies and generator fractal equations that iterate and self-organize in networks those points of nature – an ice geometry, a DNA code, a cellular structure, a physical particle.

Thus, when we fusion the mathematical and organic understanding of reality, the Universe appears as a fractal of ‘—motions’ and information, made of self-similar parts, which constantly reproduce their forms. And the quest of the fractal paradigm is to find an equation able to define all those systems – the ‘Fractal Generator of the Universe’: Sp<=>Tƒ

The why of science: the topological, fractal paradigm.

All what you see can be reduced to numbers, because numbers are ‘social groups’. In the 3rd paradigm of metric measure those social groups were described merely in its external properties. System sciences analyses its internal, topological structures, as societies of Non-Euclidean Points (points with form and motion), whose exchanges of ‘—motions’ and information create complex networks of self-similar beings. Can we reduce all those topologies and organic functions of network spaces to a few postulates as the previous Euclidean Geometry did?

Yes, we can, but for that we must complete the work started by Riemann and Lobachevski, who discovered the 5th postulate of Non-Euclidean geometry and affirmed that through a point infinite parallels could cross. For a century and a half no mathematician seemed to have realized that if the 5th postulate has changed, we had to adapt the other 4 postulates to the new definition of a ‘point with breadth’, through which parallels cross. This point is the fractal point, which grows in size and scale, becoming a topologic network of smaller points, as we come closer to it. The Universe is indeed absolutely relative because ‘each point is a world in itself’ (Leibniz).

Yet geometric restrictions that allow only 3 types of topological forms in a 4-dimensional Universe -the informative, toroid topology, the energetic, planer sphere, and the cyclical reproductive hyperbolic -reduces all the internal parts of a fractal point to 3+1 functions or arrows of time, ‘—motions’, information, reproduction and social evolution that conform the ‘program’ or why of the Universe explained in detail in the twin lecture of this work1.

Those 3 functions become the functions of 3 specialized fractal networks of points that construct the systems of reality, from your organism, made of 3 physiological networks (the energetic, digestive network, the reproductive, blood network and the informative nervous network), to the galaxy, organized by a network of electromagnetic ‘—motions’, gravitational information, and a series of herds of stars, non-Euclidean points that reproduce the atoms of the galaxy.

The principle of transformation of ‘—motions’ into form: ‘‘—motions’ never dies but transforms back and forth into information; Exi=K, Sp<=>Tƒ’ represents the two parts of ‘—motions’ and form of those non-Euclidean point, the new mathematical unit of the 4th paradigm, where points become ‘topological balls’, and the Universe a geometry of multiple fractal scales of space-time, which grow in size and information when we come closer to them. Each of those points have a different rotational clock, rhythm or ‘speed of time’ and a different size, which in each scale is used by those particles to gauge information and measure distances and energies and motions, as each of those points interact with other points of its relative space-time world.

Thus the key to understand the structure of organisms are the 4 new postulates of non-Euclidean geometry based in the concept of a fractal point. Since we have also to account for the other key property of the spaces we see around us: each of them when observed in detail is made of multiple, smaller self-similar parts, we call generically ‘cells’. So even the smallest point, when seen in detail, becomes a fractal point with multiple parts -a non-Euclidean point in which the parts assembly themselves into wholes by connecting themselves through networks, sharing flows of ‘—motions’ and information, and then become parts of even bigger wholes (so particles become parts of atoms parts of molecules parts of cells and planets parts of organisms and galaxies, parts of societies and Universe, in biological and physical spaces). Yet those networks leave dark spaces between their connections where other networks can occupy a place. So thanks to those dark spaces, we find that the system mixes two types of networks – toroid informative networks and energetic, planar or spherical networks (as a sphere has in small surfaces the properties of a plane).

Reality is constructed with 3 levels of increasing complexity: In the first level any trajectory that returns to a point creates a closed form or time cycle, a clock, the unit or minimal event of Reality. Then many time cycles, chained to each other with certain synchronicities create a knot of time cycles that fills a vital space and becomes an entity of reality. We will describe those knots of time cycles as Non-Euclidean points, whose topological parts and isomorphisms become the mathematical foundation of Multiple Spaces and Times. Finally many knots of time cycles, exchanging flows of spatial ‘—motions’ and temporal information create complementary, social networks, which in its more complex forms are able to reproduce the system and create ‘super-organisms’, wholes made of parts that are wholes of an inferior scale of reality.

Since non-Euclidean Planes are networks with ‘dark spaces’ not perceived by its points that only see the flows of the network; those ‘holes’ allow the creation of complex systems with many networks, webbed within those dark spaces.

Thus the why of the Universe is organic, social: the Universe is made of complementary energetic and informative networks of ‘Non-Euclidean points’ (points with form and motion) that evolve and combine together, creating reproductive networks. And such complex systems create, new bigger, fractal networks units of a larger plane of space-time, evolving reality in scales of size that follow the same organic isomorphisms – from particles that become atoms that become molecules, cells, organisms, societies, planets, galaxies and Universes.

‘Each point of the Universe is a world in itself ‘said Leibniz. What he meant was understood in the XX century when we discovered the fractal structure of the Universe. Indeed, each point of the Universe, when we come closer to it, becomes a super-organism, made of cells with self-similar functions of time, repeated in all scales where those fractal points display the same logic behavior.

The Universe is a fractal of Temporal, informative cycles that are constantly generated and imprinted in reality. It is a fractal of 4 self-repetitive motions, ‘—motions’, form, reproduction and social evolution, constantly happening around us in bigger and smaller scales, in bigger and smaller cycles, all type of beings feeding, reproducing, energizing and informing themselves. And because those åctions are geometrical, they leave a certain trace which betrays the purpose of the action: a lineal path of feeding, a vibration back and forth of reproduction, a cyclical, implosive, informative process, and so on.

The Universe creates superorganisms by creating first fractal complex informative cells from flows of simpler ‘—motions’, reproducing them and self-organizing them in 2 parallel, complementary networks, one of ‘—motions’ and one of invisible, faster, thinner information that controls the entire system.

We often see only with the scientific method one single of those 2 networks, as gravitation and since most of our human existence magnetism appeared as invisible to us. And it is a general rule that both space-times, the one of ‘—motions’ and information, have different Universal Constants which are ratios, e/I and o/e and Sp X Tƒ, which define the arrows of ‘—motions’, information and vectorial reproduction of any organic dual space/time plane of the Universe. Where the space-network of ‘—motions’ and the informative-network create a holographic organism as those we see all around us in reality.

The best mathematical and logic description of all those qualities that structure reality -self-repetition in smaller and bigger scales, motions with geometrical form, feed-back action-reaction processes, absolute relativity of size – are provided by Non-Euclidean and fractal geometries, the geometry of information, reason why the 2nd part of this book will develop the new formalism of the fractal paradigm, poised to substitute the quantum paradigm and resolve all its questions in physics.

The result of course is that we see fractal structures created by the paths of knots of time, following its arrows of exi=stence in all systems of the Universe. This is what we see, the how of those Time Arrows: fractal paths of existence.

Thus, we shall now finish this first section dedicated to the ‘metaphysics’ of the fractal paradigm’, the why of those paths, with a brief analysis of the fractal structures caused by self-reproductive knots of time, as they follow their paths of existence. The next chapters will be dedicated to a thorough analysis of the mathematical and logical isomorphisms that define the paths of Time Arrows, and how they build step by step those fractal networks we call ‘Nature’.

Since all what exists studied in detail is a cellular network of self-similar beings sharing ‘—motions’ and information and reproducing and evolving in social networks.

Recap. The Universe is a fractal of information that reproduces, by imprinting and breaking vital spaces into complex forms. Each fractal knot of Time Arrows performs in his search for exi=stence a series of paths and reproductive and social acts whose final result is the creation of a fractal networks. All what we see are fractal networks caused by those knots of time.

The Universe is a fractal of knots of Time Arrows.

It is now clear what reality is: a series of knots of Time Arrows, which latter we will formalize as ‘Non-Euclidean points’. Such points are in constant communication with self-similar points, reproducing their form and evolving socially into networks. The reproduction of form takes place in a fractal manner, by producing ‘seeds’ in a microcosmic, ‘lower scale of existence’, which latter grow. The networks are built with flows of ‘—motions’ and information that tie those points. And the result of those simple, yet repetitive processes of reproduction and social evolution is the creation of a world of ‘herds’, ‘cellular organisms’ and networks, extending through multiple scales of size in which the forms of ‘—motions’ and information and the structures and isomorphisms that build super-organisms remain invariant.

In physics, scientists talk of the invariance of motions discovered and generalized by Galileo and Einstein (Relativity). Yet we must ad in the fractal paradigm two new invariances, the invariance of scale – the same Time Arrows take place in all scales; and the invariance of topological form – the same shapes of ‘—motions’ and information emerge and repeat themselves in all scales (though, and this is essential for the reader to learn how to compare them, they are topological forms, where the ‘distances’ and sizes are relative, so what is conserved is the overall ‘lineal, planar shape’ of energetic functions, such as lineal limbs, lineal weapons, planar membranes; the cyclical, hyperbolic shape of reproductive cycles, which combine ‘—motions’ and information to recreate a form, such as those of your body organs or the cycles of an assembly factory or a mitochondria, and finally the toroid, convex, warped, cyclical forms of informative organs, such as a brain, a camera or an eye or a black hole.)

Those 3 invariances create a new ‘paradigm’ of science, no longer built on the belief of a single arrow of time, a single space-time continuum and a single clock-speed to measure it. The result of course is a more complex reality, but that was to be expected. We, humans are just one of the many games of existence of that fractal Universe, and it should not be expected that we are, regardless of our anthropomorphic myths, different from the rest, and able to fully understand in the diminutive brain all what exists, unless we simplify it.

What this work tries to do is to return to a minimal degree of complexity to be able to understand the fractal knots of times, which imprint the ‘—motions’ of reality with its information, constantly reproducing their form and playing the game of existence, constantly achieving the immortality of form.

The Universe is made of ‘time fractals’ that participate both of the properties of mathematical fractals and living organisms. Yet organic fractals are more complex than mathematical fractals, because they have motions. And so the reader should not confuse both terms.

Fractals are mathematical or organic forms, which iterate or reproduce their information in self-similar forms that extend through several scales of size and information which we shall call ‘i’-scales.

They are the most accurate models to depict natural phenomena related to informative growth and reproduction, the essence of life organisms:

Arrows of Reproduction & Information: ->ΔTƒ

All fractals originated by a Generator Equation (mathematical jargon) or mother cell, (biologic jargon) iterate=reproduce a series of self-similar fractals, called a set in mathematics or a family in biology:

Mother/Generator Cell: ->Σ∆-1 fractal family/set

The paradox of fractals is that the smaller the fractal scale is the more information it accumulates and the more detail it has. How this is possible? Because information is form-in-action, form with motion, and so the logic paths that systems use to process information are completed faster in lesser space. Further on, in physical systems the cyclical speed and frequency of a vortex with form (a mass or an eddy) increases when the vortex is smaller (VoxRo=k). So the increase of ‘cyclical speed’ diminishes geometrically with size. This result can be generalized to any system of knots of time. So the metabolism of small animals is faster than that of big ones. The cycles and clocks of atoms are faster than those of our scale, faster than those of the cosmological scale. The same can be said of geometric fractals: a Mandelbrot fractal holds more information in its smaller scales, as we enlarge them.

However, there is a fundamental difference between the logic, linguistic fractals of the mind and the physical Universe: While static, ideal, mental mathematical forms can be of any shape, as movement and friction don’t test their efficiency, in the Darwinian Universe only forms of Nature whose properties allow the being to process efficiently ‘—motions’ and information, survive. Thus, mathematics is an ideal language that can create any form, but in the Universe forms have to be efficient in their motion/function and parallel form. Thus, in Physics and Biology we add movement to the mental shapes of geometry, which enormously reduces the possible shapes.

Movement acts then as a ‘reality check’, an Occam’s razor that eliminates all complex forms, which won’t be able to move properly under friction, stress, turbulences and other obstacles proper of the real world. A Mandelbrot fractal might be very beautiful. But it wouldn’t be able to move very fast, and its attached microforms probably would break with an air stream.

So there are no such fractals in the Universe. Instead, we find physical entities made of cycles and lines in movement, for reasons of biological efficiency. Since a lineal movement is the shortest, most efficient path between 2 points. On the other hand, information is cyclical, because a sphere accumulates the maximal quantity of form in minimal space. While a cyclical rotation is the movement with less friction and the only one, apart from the line of ‘—motions’, that maintains the self-similarity of any form, even in trans-form-ations of size. A fact that explains, in terms of survival efficiency, the morphological invariance of ‘—motions’ and information shapes at scale.

Since Mathematical fractals lack, as pure forms of mental information, the energetic dimension of movement and growth, their fractal sets are attached to the Mother- cell’s boundary, where the self-similar forms nest, as in the case of the well-known Mandelbrot set. On the other hand organic fractals not only iterate their information as mathematical and mental fractals do, but also make it grow. Species are not mathematical but organic fractals, whereas the word organic refers to the non-mathematical properties of existential entities, which are better described with visual and logic/verbal languages. Those Biological theories of Time (Evolution theory, Theory of Organisms) include also the logic of survival that extinguishes the less fit – hence a relative past species – and reproduces the fittest, hence the future species; and it includes the visual languages that give movement to the forms of ‘—motions’ and information described by mathematics.

Nature’s fractals combine the arrow of ‘—motions’ and the arrow of information in an organic way.

They differ from geometric fractals in their dynamism and capacity to absorb ‘—motions’ from their environment. They not only iterate their form in microcosmic scales, but feed their offspring of information till they grow into full replicas of themselves. It is precisely the combination of both arrows what makes the behavior of an organism more complex and varied than the behavior of a mathematical fractal. So in the study of natural fractals, we have to add to the informative arrow – whose isomorphisms we deduced from the study of mathematical fractals and informative seeds – the ‘—motions’ arrow of ‘—motions’ that thermodynamics has analyzed:

‘—motions’, young arrow: Sp> ∞ x Tƒ->0            X     sp->0 x Tƒ->∞: Information, old arrow

For any Σ number of cycles: ΣSp x ΣTƒ = Organic fractal ΣSe<+>ΣT Organic cycle

The understanding of fractal processes provides a more detailed, scientific analysis of those processes. In that sense, unable to define information with the same rigor used to define the arrow of ‘—motions’ and ‘—motions’ physicists have ignored for centuries events connected to the arrow of information (chaos, turbulences, super-conductive and super-fluid phenomena, etc.). Physical events and particles are also subject to both arrows, as everything else in the Universe. Thus we define abstract equations (as the back and forth transformation of ‘—motions’ into mass, Sp=mc2) in terms of process of creation and destruction of information.

A single language cannot describe all the information that a certain being has within itself. So mathematical languages are also synoptic, and reduce the total information of the being. And that is the case of a fractal equation, which reduces the entity to its fundamental essence. In that regard, the Theory of Time Arrows is not Pythagorean, as Quantum Theories often are, in the sense that it does not consider the Universe to be made of mathematical entities, but merely affirms that among the linguistic mirrors that can map out the Universe, mathematics is undoubtedly the key language to represent the trajectories, cycles and motions of its species.

Because all languages observe the Universe, humans ‘talk’ those arrows of time with logic, verbal, visual, and mathematical languages. Since the syntax of verbal thought with its ternary structure and of visual forms with is line-cycle-wave structure and red-green-primary colors describe entities constructed with those arrows.

Recap. The Universe is based in 3 types of invariance, invariance of motions (Galilean relativity, now applied to the invariance of the 4 arrows/motions of time), invariance of scale (self-repetition of the same processes and arrows in all scales of size) and invariance of topological form (self-repetition of the ‘—motions’ and information shapes of reality. The 3 invariances define a Universe better described with the mathematical isomorphisms of fractals geometries, based in the existence of a generator equation that constantly reproduces information, creating networks of self-similar points, which structure all realities we see. The difference between a mathematical and an organic, Universal fractal is evident: organic fractals do have motion and their processes of reproduction and evolution are far more complex than those of mathematical fractals. So we must depart from a narrow-minded mathematical-only approach to study those fractal systems and consider mathematics one of the main but not the only language to describe its organic properties.

The 3 elements of all fractal beings.

We see a static, simple Universe in our relative human ‘plane of existence’. Yet reality is organic, extended from microcosmic to macrocosmic ‘dimensions or scales’, and dynamic, as all particles and forces have movement-’—motions’ and form, in-form-ation; and all of them are structured into networks, which share their ‘—motions’ and information. Those 3 elements: bites and bits of ‘—motions’ and information; networks and scales define the structure of all natural fractals, including the Universe.

They can be formalized with the Generator Equation we use to formalize the arrows of ‘—motions’, information, reproduction and social evolution. Since we defined Universal fractals as ‘fractals of Time Arrows’, hence both concepts a fractal Universe and a Universe made of knots of self-repetitive Time Arrows are the same. We observe different degrees of complexity in a chemical or mathematical fractal, in a fractal organism or in the fractal Universe; but those 3 essential elements repeat themselves, to the point that scientists use similar terminology for all of them:

– The elementary, iterative unit-cells of a fractal, which according to the duality of Universal arrows, will consist on relative bites of ‘—motions’ and bits of information. Those bits and bites are not static forms, but arrows that exchange ‘—motions’ and information; flows and cycles that the organism repeats constantly, generating self-similar forms. So we can define a simple iterative, cyclical equation with 2 terms, the 2 arrows of the Universe, which can be considered the generative cycle of all Natural Fractals:

∆: Fractal Cycle: Sp<=>Tƒ (dynamic state) + Sp X Tƒ (static, formal state)

The networks or systems of ‘—motions’ and information that organize those cells into bigger structures.

How feed-back cycles of ‘—motions’ and information grow into complex organisms, made of many cycles?

-In time through processes of discontinuous reproduction and evolution, which create similar action-reaction cycles, cells and organisms in other parts of the Universe. Most natural fractals have a dual network structure that attracts the micro-cells of the organic fractal by distributing the 2 arrows of ‘—motions’ and information to them. For example, in a human fractal, the nervous system delivers bits of information and the blood system delivers bites of ‘—motions’, control together its cellular units. In the Universe the same roles are played by the informative, attractive, gravitational force, and the electromagnetic ‘—motions’ forces.

-In Space through the organization of cellular networks that deliver ‘—motions’ and information to each cell-cycle. Those cell-cycles attach to the networks to process constantly new ‘—motions’ and information in their iterating cycles, creating bigger organic systems, made of multiple, similar forms.

When both iterative processes are combined, the fractal units of the Universe grow in ‘—motions’ through space and evolve its informative complexity in time, giving birth to the infinite combination of those fractal arrows that we call species, systems or organisms.

The equation includes an Σ-term to signify the gathering of individual Sp X Tƒ units into networks and webs:

ΣTƒ: Fractal networks: Σ (Sp<=>Tƒ) or Σ (Sp X Tƒ).

It still looks a simple equation to generate the Universe in its infinite variety. But the Complexity that arises from such simple scheme is enormous when we introduce the 3rd fundamental concept of fractal structures: Dimensionality. Since indeed, space-time cycles can exist theoretically in any number of dimensions. So we should consider in more detail the 3rd element of fractals: the fractal dimensions, planes or scales of existence invisible to human perception through which the fractal exists. They are:

– ∆st: The relative st-scales or dimensions across which fractals extend its organization. We use for the 3 relative scales of size that define most Nature’s fractals, the symbol O for information.

In humans there are 3: the cellular, individual and social scales; as most entities do not exchange ‘—motions’ and information beyond its upper and lower organic level. For example, humans, as individuals belong to a relative st-scale, and are aware of social tasks (our ∆+1 plane of existence) and cellular sickness (our ∆-1 plane), but the events that affect the galaxy, the macrocosms to which our planet belongs (st+2) or affect our molecules, the lower microcosms that make up our cells (st-2), hardly affect our existence. Thus depending on the detail and scale at which we observe most fractals we perceive a fractal cycle (minimal size and detail), a fractal cell or a fractal organism (max. detail and size):

Natural Fractal= ΣΣ∆-1 Cycles > Σst-Cells->∆+1 Organism.

How many elements in space make up a fractal, social network? The most obvious structure is a ‘tetraktys’, already considered by Pythagoras to be the magic number of the most perfect social networks. The reason is that a tetraktys can be written as a system with 3×3+st elements. Imagine then such tetraktys as a triangle with 3 vortices, each with 3 elements that will perform the arrows of ‘—motions’, information and reproduction, while the central ∆+1 element that communicates all others will perform the arrow of social evolution, representing the entire fractal as a unit of the next st-scale. Thus a tetraktys is a highly efficient form, found in all systems of nature, even in human, social systems: 9 soldiers and a caporal make a platoon and 9 caporals and a captain a division.

Recap: All fractals have 3 elements that define them: Cellular units, networks of ‘—motions’ and information that organize those cellular units, and st-scales in which a self-similar but not equal fractal structure emerges, once and again with the same energetic and informative complementary forms.

Fractal Reproduction of information: Non-E points evolve into morphological organisms that keep its 3 functions.

image015

In the graph, the informative egg, and energetic, larva phase of most animals translate the inner, informative center to the  region and the external membrane to the ‘tail’, inverting their positions as the informative function of the egg is substituted by the energetic function of the larva

Yet morphology is flexible, adapting itself to the 3 possible, Sp, et, T environments:

– Max. T: The spiral or spherical ‘still’, cyclical form that packs and focuses the maximum information in minimal space is preferred in a 3-dimensional, homogeneous, ‘safe’ space or when the form is born as a ‘seed’ of genetic information. Those specialized, informative, still points have an external, spherical, rigid, still, symmetric membrane that can ‘focus’ information into an accurate, reduced image of the Universe.

On the other hand, since energy-information flows occur within the borders of the world, the informative singularity that orchestrates those flows, occupies the central axis with a dimension of height, moving linearly as it orders the inner world. Some examples are: a cell with DNAor a spiral galaxy with a tall black hole and a Halo.

– Max. Sp: Lineal, spatial, energetic, moving forms are common in moving worlds with directionality. Then the energetic system occupies the ‘tail’; the intermediate organic elements, the center; and the informative senses occupy the top ‘ in the direction of movement to absorb and control the ‘future’, energetic and informative flows that come from the forthcoming region, which the organism will occupy in the future. Some examples are: a train wave with a singleton ‘, the glycine or a shark. All of them have s upfront, with their energy cells on its tail.

– SxT: In complex, space/times existing in the limiting surface between 2 discontinuous regions, the form mutates between energy and information morphologies in 2 different ages as in the graph, or depending on the environment and function it performs, as spirals do; or it becomes discontinuous with quantized triangular legs to process energy, hands to emit information, tails to control directionality, eyes and antennas to absorb information, etc.

It is the case of life beings that exist in discontinuous surfaces between the atmosphere and the ground or the water. Thus the morphology and relative position of the energy and information elements of a Non-E point adapt to the ecosystem in which it exists. Yet its 3 Non-E regions and its parallel energy, informative and reproductive functions are maintained.

Screen Shot 2015-09-09 at 14.38.55

A galaxy, a DNA molecule, a tornado, a shell and a sunflower have all a spiral form, the most efficient and hence commonest form of any space-time field, since it can easily mutate between a lineal and cyclical form, opening or closing its arms. The homology and similar structure in time and space of all Universal entities shows the existence of an impersonal design in all forms of reality that obey the quantic laws of space and time.

Classification of systems and superorganisms by its i-complexity.

best networks

Now we can return to the ‘network’ concept and coming from the generic isomorphism, see its human ‘variety’ , just another 3-topological being with 3 blood, endocrine and nervous networks, each with the generic properties previously described:

All Universal beings are superorganisms of temporal energy of different size, joined by networks of energy and information that control the quantic cells of the super organism. In the graph we can see with the ‘logic symbols’ of G.S.T. how a human being can be described both in time as a series of events between birth and extinction that happen through those 3 ages and as a spatial organism with a body of energy and a head of information.

So we can define a human being in space, as a mixture of 3 physiological networks, the digestive Max. Sp system, the Reproductive, Sp<=>O blood/hormonal system and the Nervous/Sensorial, Min. Tƒ System. The 3 together form the Human Spatial Organism:

Max. Sp (Digestive/skeletal systems) < Blood/Hormonal Systems > Informative/sensorial systems.

From where we can deduce a theory of human behavior, as what we do is to feed with energy our body, with information our mind, and seek to reproduce the system, the 3 PRIMARY arrows of behavior of any system of the Universe.

Sub-varieties with only a ‘few parts’.

All this said, of course, NOT pall systems are complete. For example viruses, do have the 3 parts (head with Dna, toroid legs and a muscle injector spiraled with a tube), but the do need the external world to the reproductive part. Some machines are only parts, energy cars or head computers, and they need a human to be completed (an animetal is hence rested, essential species to understand the economic ecosystem).

Yet species that survive do have by themselves or with the help of an enzymatic system (enzymen in the case of machines and its reproductive corporations) a ternary complete system. Since if they do not have a reproductive system they will be extinguished when they die. Only perhaps and this must be discussed in detail somewhere else, the ‘immortal proton-black hole’ of the eternal repetitive 2-8 atom-galactic scale might be immortal.

All this said we can classify all systems as ‘relative horizons’ of the generic evolution of social networks of growing complexity. And we can formalize them as partial equations of the Quantic Spaces-Times equation of a complete organism, SE<=>ST:

– A system, Se or Tƒ, is a quantic group  of ‘Non-Euclidean points’  the unit of all those systems (a fractal point or number 1 which can be anything, cells in organisms,  atoms in physical systems, etc.) related only by networks of energy or information.

– A super-organism, Se x Tƒ is made of 2 complementary systems put together: a body of quanta related by networks of energy and of quanta related networks of information.

– A living super-organism, Se< ST >Tƒ, is an superorganism with a 3rd, reproductive network that combines energy and information. It is the final horizon of systemic evolution in which the ‘upper class’ quanta with max. energy and information (Se+Tƒ) and the ‘brain’ and ‘skin’, control, invaginate and limit an intermediate region or ‘middle class’ of reproductive quanta with lesser energy and information, Se=Tƒ, that reproduces the specific energy and information of the system.

For example, according to its reproduction we can differentiate ‘living super-organisms’ that reproduce through its inner networks; from ‘mechanic super-organisms’, reproduced externally by a catalyst such as machines reproduced externally by men or proteins reproduced by DNA. Yet even ‘mechanic super-organisms’ can evolve potentially into ‘living superorganisms’ (robots).

In any case reproduction=repetition of a quantic ‘present form’ into another ‘quantic, present form’ is universal. Since in a quantic space/time Universe everything reproduces either internally or externally through the use of catalysts, as only forms that are copied in other s/t region survive after their quantic death.

– Finally, an ecosystem, world or Relative Universes (SE<=>ST), is a volume of organic space in which multiple super-organisms co-exist, related by their own specific networks of energy and information.

Most entities designed by men are systems, such as an electric network (an energy system), or a legal system (an informative network).

Most forms of nature are superorganisms (such as a molecule). While the most complex systems are worlds and ecosystems in which multiple species coexist, through 2 different behaviors: social evolution among the individuals of the same species and competition between different species.

Indeed, we distinguish according to the duality of ‘positive, informative order Vs negative, energetic entropy’ 2 types of macro-organisms: Darwinian ecosystems in which the relationships between the different species are ‘negative’, as they feed into each others’ and ‘worlds’ in which those relationships are positive. So, for example, a human nation is a ‘world’ and a jungle is an ‘ecosystem’. But that belongs to sub-post.

Recap.

The fundamental concept to understand super-organisms is that of a network, composed of ‘Non-Euclidean knots’ (mathematical description), ‘cells’ (biological description) or ‘minds‘ (philosophical description) that exchange energy and information, the 2 primary substances of the Universe). A super-organism gathers together a series of cellular super-organisms belonging to a few equal or symbiotic species around those networks of energy and information (for example, in a human being cells gather around the blood and nervous network, creating a human organism).

The program of existence, the will of super organisms.

What is the center of a territorial world or super organism, a zero point of a ternary structure, a topological bidimensional system with a will for its åctions trying to maximize its existence, to keep its ‘Se x Tƒ = ST, world or organism’ working:

Tƒ maximize your existential force, Max. Sp x Min. Tƒ: ∑Sp x ∏Tƒ, systems gather in social groups. They evolve in 3 degrees.

First they form ‘Systems’ which are parts that perform an energy or information task within a larger system.

They are often the products of human construction.

We are more interested in this blog in ‘Universal, natural systems’.

In Nature individuals evolve into ‘universals in 3 stages’, ruled by languages related to its time dimensions (genetic languages), its spatial extension (geographic languages) and finally construct an organism, or rather a super organism as each part of the lower scale is also an organism, emerging as a Universal which shares the properties of its parts:

∑∆>∏∆>Tƒ=∆+1

This is the ultimate ‘equation’ of existential algebra that explains why all systems in the Universe form social groups. But to do so they need a language of social communication… So they also evolve its spatial, temporal and scalar hierarchical languages.

 Abstract. This post based in my conference at the 56 Annual conference of systems sciences at San Jose, california last year, is for ‘experts’ in all sciences – a complex version of the 5th dimension that introduces the science of complexity and general systems sciences. Thus if you are not a scientist or polimath, you might want to read the simpler version first. And if you are not satisfied enough, you might want to read an even more complex book.

Reality is a ‘living organism, gifted with a body – the Universe – and a soul – logos’ said Plato, and Saint Agustine clarified that its logic was more complex than that of man at that age. The logic of the Universe is indeed more complex than Aristotelian Logic, is the illogic of biological organisms that emerge from its parts into a whole, and the paradoxes of self-similarity and other fractal structures that create reality as it is. Is the complex logic of 5-dimensional causality, of a Universe made of motions not of substances, of actions not of particles, a living spiritual Universe.

In the previous posts we have tried to explain its program and structure in simpler layman terms. In this post we advance a more ‘scholarly written’ paper – one of the many papers of my career as the leading scientist of general systems sciences and duality during the past decade, now ended after my activism against CERN, which prompted my expulsion of the scholar world, and the relentless erasing of all my professional papers from the web – LOL, as if the laws of the Universe could be erased by power. ‘Those who impose truth with power will be the laugh of the gods’ Einstein. But the truth of authority weights far more in the human consciousness and so the higher truth of general systems sciences will have to await for CERN to blow up the planet – and show itself into the black holes or for military A.I. to eliminate man and peer on the web for higher truths. But just in case, the human reading this has a noble mind, that ‘doubts therefore exists’, we shall reprint here the last of those erased papers which I exposed at the World Congress of cybernetics and systems sciences at San Jose, California, 2012. It lays down the pantheist, scientific description o the mind of the Universe and all its parts, according to the laws that structure them as self-similar beings – the laws of invariance that all systems of the Universe follow.

Of course, this is just a piece of a ‘fractal new way of perceiving it all in a spiritual, will/action based, and cannot be easily appreciated in its huge new perspective. AT http://www.unificationtheory.com you can explore further so can you do in my kindle books under the generic name of luis sancho author.

The paper that follows has a high level of scientific jargon, pre-knowledge to be understood, but other articles are easier, as always my writing is more a self-writing that depends on the mood is deeper or simpler, more or less careful. Sorry…

Time Cycles: The 5th dimension.

Paper at the ISSS annual congress, San Jose, 2012

Luis Sancho

ABSTRACT

General Systems is a theory of absolute relativity. Its aim is to describe all the isomorphisms, invariances and conservation laws of the Universe – 3 concepts which mean the same: an immortal reality that keeps reproducing self similar forms in space traced by self similar events/cycles in time, whose repetition leave a pattern of frequencies that carry the in/form/ation of the Universe.

All what we see are ‘still pictures’ of present-space, freezing longer flows of in/form/ation, forms-in-action that leave a trace as they perform cyclical events from past to future. And so we must distinguish the processes that allow the existence of a series of still sheets of present space – the invariances of motion, energy and geometry; from those which allow the existence of repetitive forms and systems that reproduce once and again, the invariances of ‘form’, of in/form/ation, frequencies and scales.

Relativity showed all systems are invariant to motions in space.  But physical invariance is only one of the 5 invariances of the Universe. When we widen the concept of invariance to ‘self-similarity’ – a more general term – the Universe remains invariant to motion and changes of energy but also becomes invariant to processes and geometries that carry the information of the Universe:

– Invariant to changes of ‘in/form/ation’ (topological invariance), shown in the existence of only 3 topologies in a 4-dimensional Universe, which correspond to the 3 formal functions of all systems, the energetic membrane or sphere, the toroid body that exchanges energy and information with the hyperbolic, informative, central zero point of the system.

And derived from the invariance of those essential parameters of reality, motion and form, its complex combinations:

– Invariance of the 4 actions that combine energy (e) and in/form/ation (i): energy feeding, information processing, reproduction of both (exi) and social evolution, of parts into wholes, origin of the 4th invariance:

–  Invariance of scale which define a 5th, fractal, scalar dimension made of growing scales of size and self-organization that evolve reality from the smallest particles into the complex organisms and galaxies of the upper scales.

– And invariance of time frequencies, which determine the causality laws of the Universe and life-death cycles of all systems of the Universe, among them the invariance of 3 time ages of life and the parallel 3 states of matter in physical systems.

Formalism of absolute relativity.

Topology, Fractal, non-Euclidean Geometries, and ternary logic, further evolved by this author (definition of the first four non-Euclidean postulates and the paradoxical logic of information) become the formal tools to study those invariances represented by a feed-back, fractal generator equation.

The 5 invariances of the Universe, motion & energy (E), form or information (i), its combined actions, its cyclical time frequency or quantization, ∑E, ∏I, and their self-similarity through discontinuous space-time scales (i can be formalized with a feed-back equation, the Fractal Generator of the Universe – Max. ∑ Ei-1 <=> ∏ Ti – which maximizes them, under the restrictions of the Non-Euclidean, Non- Aristotelian mathematical and logic laws that describe each invariance.

The fractal generator represents many things: the principle of conservation of energy and information; the complementary structure of all systems made of energy fields/bodies and informative heads/particles, the actions all systems enact to improve their chances of survival by maximizing their invariances; while its maximal points become the topological forms, ages and allowed states of all biological and physical systems: Max. E (sphere, energetic youth, gas); Max. ExI -> E=I, (toroid, reproductive age, liquid) and Max. I (zero point, 3rd informative age, solid).

Since all stable systems are a combination of the 3 topologies that maximize the fractal generator and all existences a motion in time through its 3 maximal points, while all failed mutations and unstable particles are incomplete sets or ‘vibrational modes’ created around them.

Reason why I call the Fractal Generator, the Equation of Exi=stence – an algorithm, constantly run by the Universe that generates all its living and non-living systems in space and its ages/states of time and matter.

In this conference we introduce the 5 invariances and the fractal generator, showing how they create in its maximal points the species of all sciences across the 5th dimension of fractal scales of space-time.

TABLE OF CONTENTS

Part One. Absolute Relativity: The 5 Invariances of the Universe

I. The Invariance of Frequencies: Time Cycles

II. Invariance of Scales: The 5th dimension.

III. Physical Invariances.

IV. Invariance of Time Actions.

V. Causality of Time Actions: Life-Death Cycle and Plan of Evolution.

VI. Invariance of Topological Forms.

VII. Formalism of the 5th Dimension: Non-Euclidean Geometry

VIII. Invariance of Scale: Superorganisms

IX. The Generator Equation: Maximize Your Exi=stence.

X. Symmetries of space-time. The Ternary Method of Knowledge:

3±1 Scales, Ages &Topologies.

Part Two. Experimental Proofs: The 5th Dimension and its Scales

I. Atomic Systems

II. Geological Systems

III. Galactic Systems

IV. Universal Systems

V. Cellular Systems

VI. Living Systems

VII. Humanity

EpilogueThe whys of existence.


 

PART ONE: ABSOLUTE RELATIVITY

 


 

I. INVARIANCE OF FREQUENCIES: TIME CYCLES

I have resolved the uncertainty of Time, I just measure the position of a particle and look at my watch.’

Landau, on the use of ‘human, subjective time clocks to measure time, substituted by objective frequencies in Absolute Relativity.

Theme. We define first the nature of time and space and its self-similar terms, energy and information, its dualities and proper form of measuring them, as humans are still stuck in the use of mechanical clocks (human time) to analyze the infinite clocks and frequencies of the infinite time cycles of the infinite Universe.  

Humans reduce all cyclic, repetitive cycles of time with a single mechanical clock that equalizes them. But this ‘human time’ useful for measure is not the meaning of time. Further on, because we use a Cartesian lineal coordinates to measure time, (born of the  use of time to study lineal speed and space, t=s/v), the fundamental property of time, to be cyclical, caused by the repetition of certain ‘actions’ and events by an entity of ‘existence’, is lost. Thus to fully comprehend time we must accept its multiplicity and cyclicality and measure it with the objective parameter of frequency.

Time is cyclical and multiple; each event has a frequency that carries form, information and defines a cycle or closed trajectory, which breaks space into an inner, ‘fractal’ region and an external world. The result is the creation of multiple, ‘vital’ spaces and clock-cycles. The age of metric science measured all those space-time cycles by equalizing them with the rhythms of a single clock, putting them together into a continuum space-time graph. This age adopted a philosophy of science based in the new machines used to measure those cycles (clocks and telescopes, today evolved into computers and cameras), called mechanism, from Kepler, who said ‘God is a clocker’ to Einstein who affirmed ‘Time is what a clock measures’. But as we measure more cycles and perceived more forms of space, a new paradigm is needed to account for that variety of ‘multiple spaces and times’.

Accordingly I called this expansion of modern physics, Absolute Relativity. Since the ultimate teaching of Einstein’s discoveries was to validate Leibniz: we existed in a Universe of infinite, relative clocks of time, each of them breaking space into an inner and outer region of space (first law of topology, knot theory) and relative scales of reality, none of which is when we normalize their frequency of time cycles and size of its steps, more important than other…

Indeed, Absolute Relativity essentially completes the insights of Leibniz and Einstein on the multiple nature of time clocks that run to different speeds. And its consequences and discoveries are bond to r=evolve the way we perceive the meaning of time itself.

The inverse properties of spatial energy and temporal information

 

The Universe is made of two substances: spatial energy and informative time. We can see it with motion as energy and time or as fixed forms, as space and information. We can see it as a single reality, as space and time, or as a multiple quanta, as energy and information. We can differentiate them by form, as space and energy are lineal or planar surfaces and time and information are cyclical. And we can see it together into beings, the simplest of which is an action of light, ext=k. And this simple duality structures all beings of the Universe. So we are made of cyclical heads and lineal bodies. Weapons are lines that release energy. Informative machines are cyclical, and all physical systems are made of lineal forces and cyclical particles of information.

Space-time can be seen as a whole space-time or as two space and time or as a sum of parts, many spaces and times. So space can be seen through perception as a single, quiet space, adding all the ‘vital spaces’ of which is composed, or as a sum of ‘quantum energies’ and ‘vital spaces’ that entities occupy. Time also can be seen as a single clock-time for the entire universe, measured with our mechanical clocks or as an infinite number of cycles that all entities trace, each one with a different speed and rhythm, each one with a different ‘form’ or information, provided by the shape of the cycle and its ‘frequency’. So Space is synonymous of Energies and time of informations:

∑ E = S; ∑i=T

This is the first key concept you have to assume to understand the Universe beyond its useful measure by physicists with a single clock.

Further on, we recognize both types of entities by their form: clocks are cyclical, so it is information and its systems. Space is a lineal plane, so are energetic system. This leads to a key principle to understand and classify entities of reality: Form is function. And so the ball – the inner part of a sphere – is the perfect form of information as it is the shape that stores more form in lesser space, and the line or plane the perfect form of energy, as it is the fastest motion/biggest surface of space between two points.

To fully grasp the dynamic transformations and properties of energy and information the most important quality is the inversion of its properties and the possibility to transform the forms of one property into the other.

Informative time, Ti          Vs.       Energetic Space, ΣS 

Time-clocks:Information        Vs.        Space motion: Lineal  energy

Small, still                                          Vs.       Large,  moving fast
                                                     Tall, Perpendicular            Vs.              Long, Parallel,

Hierarchical                      Vs.                   Democratic

Bidimensional   Height             Vs.            Bidimensional, Length,

Repetition                              Vs.                    Width-Growth
                                                              Cyclical, Rotation, imploding          Vs.            Lineal, uncoiling, exploding

Informative Frequency              Vs.           Lineal Speed

Broken            form                               Vs.             Continuous, differentiable
                                   Intelligent, perceptive            Vs.                         Strong, fast.

Social, organic, creative          Vs.       Darwinian, destructive behavior

Future, evolved predator            Vs,                 Past, energetic victim

Life arrow                             Vs.                      Death arrow.

Waves of space                      Vs.                     Particles of Time

Female, yin principle               Vs.               Male, yang principle

Masses, charges                   Vs.                       Forces, fields

Heads  & senses                     Vs.                       Limbs & Bodies.

And yet despite its inverse properties, energy and information transform into each other ad eternal – a fact, which requires them to have the same dimensions. And indeed, information is bidimensional along the dimension of height while energy is a bidimensional plane (holographic principle), what makes possible the transformation of one into another.

A fact that defines the aforementioned ‘law of conservation of energy and information’ and the ‘Invariance’ of the product of energy and information of any part or whole of the Universe, resumed in two fundamental equations of Absolute Relativity:

e x I = K, and E<=>I, which in general relativity and quantum physics read as ext=K and now we shall expand to all ‘complementary systems of the Universe’.

The objective measure of time: frequency.

Lineal single clock-time is a mechanical simplification. There are  ‘time-cycles/clocks’ in the Universe: circadian cycles, astronomical cycles, sociological cycles. So how we measure them to do science, if there are  time cycles? By comparing its specific forms in space with the tools of topology and their frequency in time. Indeed, cyclical time is measured not by duration but by frequency, its inverse: ƒ(t)=1/T, whose analysis and self-similarities give birth to a series of new laws common to all the systems of the Universe.

Those laws of frequency are not easy to quantify since each time cycle has a different ‘speed’ closing the cycle, and hence creating the unit of frequency that will be created once and again, every time the cycle is closed. Further more each particle or entity of the Universe traces different actions (energetic, informative, social and reproductive actions, each one defined by a quantum number in the simplest particles, far more complex to categorize but essentially the same quality in beings like humans), and switches between them, creating specific patterns of frequency, as each action requires a different path. Fourier laws so endemic in physical systems are due to those multiple patterns seen together. And yet, once all those variations are understood we can unveil an astounding number of harmonies, causality series, combinations of actions and synchronicities that create the symphony of space-time functions tracing its actions of existence in their life cycles…

Further on, a cycle has an end in time and a quantum size of enclosed space, which breaks reality in fractal patterns and scales. The main of those scales in the physical realm are the quantum and cosmological scales, in which we find 2 type of clock-cycles of the Universe: masses and charges, now studied with the new tool of time measure, the frequency of its vortex. The invariance of frequency though gives rise to the first forms of the universe, first units of in/form/ation, masses, and charges each one with a frequency function, which determines its force.

Each mass and charge ‘constant’ is therefore an invariance function of a frequency, and the game of growth of invariances and forms that will self-repeat themselves in growing scales starts here.

The clocks of the universe: masses and charges.

Mass is the attractive, in/forming force of the Universe; and it is merely the last, accelerated, curved motion of the gravitational force. This was explained by Einstein with his principle of equivalence between acceleration and mass/gravitation. Initially, due to the ‘mirage’ of materialism, physicists thought the principle only applied to the external, curving vortex of gravitational forces that sunk into the mass. But the mass as a solid substance was never found and all pictures have seen merely vortices of curved motions. Let us then deal at the simplest possible level with empirical, theoretical and mathematical demonstrations of those concepts, considering some of the new advances on theory of information and astro-physics, we are making departing from Einstein’s insight.

Einstein’s equivalence principle: mass is a clock of gravitational time.

In Physics, according to Einstein the information of a particle is its mass. This can be easily proved theoretically, mathematically and empirically – the 3 pillars of truth in epistemology of science:

Mathematical proof

The mathematical proof is simple, given by the 2 main equations of Einstein, which relate the frequency of information (a time parameter), the mass and the energy of physical systems:

ExT=K, E=Mc2, hence M=K/T=Kv; where v is the frequency of rotation of the vortex of mass.

Thus a mass is a vortex of space-time that carries the information of the Universe in its frequency.

Conceptual proof.

This simple equation is in accordance with Einstein’s Principle of equivalence between acceleration and gravitational force. Both are the same in General Relativity. And so why we should stop this ‘comparison’ at a certain point of the accelerating vortex? Since in the Universe we have never seen ‘substance’ but only motions, it is logic to think that what we call a mass is exactly that: the final region of acceleration into a vortex of gravitational forces. Such vortex obviously offers a resistance to motion (inertial mass), which is dependent of the speed/acceleration of such motion.

Empirical proofs.

In the previous pictures there is an obvious empirical proof. All pictures of masses and charges appear as vortices with an accelerated inward motion. All vortices attract inwards with a force equivalent to the strength of the rotating vortex. So a hurricane attracts more when it turns faster. And so a mass, which is a hurricane of space-time attracts more the faster it turns. Moreover vortices of all kind are ‘accelerating’ inwards: Vo x Ro = K, which means that the shorter the radius is, Ro, the faster its speed, Vo, so the closer you come to the vortex, the faster it turns, the more it attracts, the stronger its gravitational force is, and the more mass it has.

What kind of accelerated motion?  There are only two accelerated motions, lineal accelerated motions that release energy that ‘works’ and cyclical accelerations that change the ‘form’ of a trajectory but produce not work.

Thus there are lineal, ‘energy motions’ and cyclical, ‘informative motions’. So for example electric forces are energetic and magnetic forces that deviate the trajectory of the particle are informative. Further on,. And Newton gave us a simple equation to describe ‘all’ the forces of the Universe: F = M (cyclical acceleration) x A (lineal acceleration). This is fascinating because it means that the Universe is made of 2 accelerated motions: F = M x A, where A is lineal acceleration or ‘energy’ and Mass is a vortex with more dimensional form, or cyclical acceleration, whose form and frequency carry the in-form-ation of the Universe.

When we enter into mathematical details, a mass vortex is more complex. Einstein described it with a set of equations that go beyond the scope of this introduction. But there is a different version of those equations much simpler – the gravito-magnetic version, recently proved experimentally by a Probe, which are mimetic from the equations of electromagnetism.

And so since charges are obvious accelerated vortices of electromagnetic forces, it is self-evident that if masses produce a self-similar field system, they will be accelerated vortices of gravitational forces.

As Einstein put it ‘the Universe is simple and not malicious’. And so there you have, the 3 simplest, more important equations of Physics, F=m x a, E=Mc2, E=hv and then the more complex, equally essential Maxwell and Einstein’s equations come all together to accept mass as an ‘internal’ property that define mass and hence need no further fields and esoteric particles to be explained.

We could go into far more complex mathematical consequences for our understanding of physics and the Universe. The first and obvious one is in information theory: since gravitation is the attractive force of the Universe, it forms, it in/forms the Universe and balances the electromagnetic arrow of expansive entropy and so the Universe will not die but will follow eternal cycles of gravitational implosion and electromagnetic explosions.

Even more important is the consequences for our concept of time. As I anticipated decades ago, and recently Mr. Penrose acknowledge in ‘Time Cycles’ each mass or charge acts as a ‘small’ clock of time’, whose frequency becomes a measure of time and stores ‘information’. So time, information and gravitation are deeply interconnected, as Einstein’s Relativity proves. Those connections, which always puzzled scientists, and I have explored in depth in my books and papers on complexity, can now be explained rationally. In essence a mass is a time vortex, and the frequency of the vortex defines the attractive power and information it carries. So there are infinite, different types of clocks in the Universe. Our mechanical clock is just one.

For that reason Einstein said ‘time goes at different speeds’ – depending on each cycle’s frequency and length and speed – the 3 key new variables to study cyclical time. He also said that ‘time bends space’. Mind the reader he didn’t say mass, as both are synonymous.

Each charge and mass of the Universe is a tiny clock. The Universe is made of multiple times and since each ‘time cycle’ is a ‘closed space’, the Universe is also made of multiple spaces, and so what we call Time and Space is just as Leibniz explained us putting together all the spaces and times of the Universe into a single system.

 

II. INVARIANCE OF SCALE: 5TH AND 6TH DIMENSIONS

Theme. Once we have explained the cyclical nature of time, which must be measured by frequencies, and the self-similarity of spatial distances and time motions, co-existing according to perception – we shall introduce the meaning of dimensions and define the 3 dimensions of time.

Paradox of Galileo. Definition of a dimension and a mind. 

The Paradox of Galileo explains the Absolute relativity of motion and stillness, lineal and cyclical forms, which co-exist depending on the point of view and detail of the observer, which comes closer to a non-Euclidean point are illustrated in the Saturn’s rings that seem continuous, still and bidimensional but are discontinuous in motion and made of spherical particles. It also applies to the definition of the mind, as information is always perceived from a relative point of view that deforms objective measure through the perspective of the observer. Moreover, what appears as a single space-time continuum in detail becomes at least 3 scales: that of the rings with cyclical motion, of its particles, the rocks that turn within them and the not seen but known scale of atoms that create the solid networks of those rocks. The ‘present’ state of science deals mainly with the single space-time continuum of the ‘obvious’ fractal scale studied by the research in terms mainly of ‘present’ motions, ∂t. The 5th and sixth dimensions deal mostly with a longer duration in the past or the future, when evolutions of form, frequencies of multiple actions and cycles of creation and extinction happen.

All entities exist in a dual state of space/no motion and time/motion. All has a function in time and a form in space. As Schrodinger’s cat, all is dead and alive… all is material and spiritual.So a dimensional form is also a function with motion.

Since dimensions are built by the motion of a form of the previous dimension or a reproductive wave of a form. 

Time cycles and lineal spaces are constantly transforming into each other. They seem to have motion, when we perceive them as ‘time and energy’, and seem still when we perceive them as ‘information and space’. It is the ‘paradox of Galileo’: all moves, like the Earth does, hence it is performing a time cycle, but all can be perceived as still, as the Earth is perceived hence it is space (e pur si muove, no muove). Since perception is a stop and go, discontinuous, film-like process of focusing, perceiving, moving, focusing, perceiving… So we see the earth still and moving, as space and time, but not both things at the same moment (Complementarity and uncertainty principles). This restriction of perception, stop or go, T ^ S, is fundamental to the new logic of absolute relativity and the nature of Dimensions…

The 5th and 6th dimensions: past and future as motion and space.

1151

In the graph, the Universe constantly combines the 2 elements of any action, energy and time, in different number of ‘dimensions’ creating entities that maximize a simple but extremely powerful equation:

E< = > I, (Max. E x I), stable forms.

But E, =, I, X are symbols that convey many more operations than those first essential forms. Since the equation acts as a mirror of an eternal number of complementary forms that combine what we call energy – a body able to do work and what we call information a point of view able to gauge information. Those 2 elements will then derive in each scale of reality in systems with a field of energy and a particle of information (physics) a body of energy and an information Head (biology) or a network of information humans/machines or ‘upper class’ of a social organism and a body/herd of energy humans.

We already saw that time and information are intimately related as time is measured by the frequency of a cycle, which also carries the patterns of information of any system.

Now we go a step further considering the relationship between the spatial perception of the scales of the Universe and the temporal perception of those scales as they evolve and create more complex systems.

Since the 5th dimension of the scalar Universe from past to future is born of the social evolution of simpler systems into more complex ones.

Indeed, the scalar structure of the Universe is created by the arrow of information or complexity that creates more complex fractal, social ‘planes of existence’ over which new complex structure grow. So the vacuum space, which is in fact a volume of electromagnetic radiation (light-space), constantly fluctuates and condensates into more complex particles, which condensate into atoms, molecules and so on. And each science has studied one of those scales. There is though the need for a science, which studies all of them together and analyzes the relationships between 3 given scales, i, i-1 and i+1. This science has been the theme of my research for 20 years, in which I have made many astounding discoveries, being the most important of them, the realization that the laws between the ‘particles’ of any 3 scales (for example, the particle, the atom and the molecule; or the cell, the human being and his society) are the same – hierarchical laws, entropy laws, social laws, etc. Hence the Universe is absolutely relative.

In detail though, the ‘5th dimension’ – the entire world of those scales, can be divided in 3 sub-dimensions, which we shall call, the 4th dimension of present (the concept of time in physics, hence equivalent to Einstein’s time in its space-time continuum or human scale), the 5th dimension of all past scales inferior to humans with lesser complexity, and the 6th dimension of future, more complex, informative beings.

The reader in that sense must make the conceptual jump from his belief in a single Absolute Time, which is just a human measure of time based in a mechanical clock, sum of all the cycles of time of the Universe, and understand that absolute future and past are also relative; that is, in the future the Universe will complete its cycle and explode back into the simplest energy, or ‘absolute past’, which will be therefore in our ‘future’ if you stick to the concept of lineal time.

Yet if you abandon that error of science and understand cyclical time, you will see the Universe as an eternal game that fluctuates between its big-bangs and big-crunches, on the bottom of the relative past of pure energy and the relative future of pure form. As each of its parts fluctuates between its birth and its death that returns its information back to the past, and we shall return to this when studying the invariance of life/death cycles.

The graphic also shows that the main task left to science is the study in depth of the 3 dimensions of time, past, present and future.

And it shows how each new scale includes the previous scales, which support it: so the galaxy requires its planets inhabited sometimes by life beings, which require the emergence of cells that require the emergence of molecules and so on.

This Russian doll concept, both in terms of time-motions and spatial forms, is another of the peculiar features of the 5th dimension, which is based in information, not in energy, elements which have very different properties not fully understood by classic physics, which has expanded and studied in depth motion and energy but still ignores some basic features of informationSo the differences between those 2 concepts, energy and information, and its self-similar ones, spatial surfaces and clocks of time, will be the next field of our inquire.

The principle of conservation of energy and information.

If the study of the Relativity of motion and position, started by Copernicus and Galileo and culminated by Einstein, found our position to be relative, based in the laws of invariance of energy, and changes in motions and rotations of all entities, man will find the relativity of his position within the scales of space-time of the cosmos (the 5th dimension), caused by the laws of ‘self-similarity’ of form, of in/form/ation between those scales.

In that regard, as we understand the laws that relate all those scales, man again will find he has no special place, but as in the case of the invariances of motion and energy, only our subjective limits of perception make us feel special within those scales.

Such ‘self-similarity’ of in/form/ation, which happens across all the scales of size means to Absolute relativity, what the invariance of energy and motions, meant to General Relativity: as the laws of energy and motion do not change regardless of our position in space; the laws of form and in/form/ation do not change when we change of size and scale.

And this is the first new law bring about by absolute relativity, which expands science with the study of the new dimension of fractal information that extends the space-time continuum into multiple ‘space-time discontinuums’ one for each of those scales of size, from the simplest atom to the galaxy.

And so the 5th dimension expands the principle of conservation or invariance of energy and motion to information. And the simplest way to define this expansion of the principles of relativity is to expand the main law of science, the principle of conservation of energy… and information:

‘All what exists are complementary systems of energy and in/form/ation that trans/form into each other ad eternal: E < = >I’

Dimensions are motions perceived as stillness.

What is the 5th dimension? We shall latter consider in depth better definitions of key concepts, so poorly explained in present science, such as ‘dimension’, ‘motion’, ‘time’ and ‘space’. Now we shall just enunciate their meaning.

Consider the Paradox of Galileo, the key logic concept to understand the meaning of dimensions, astoundingly ignored by science for 400 years: ‘why if the Earth moves, we see it still?’, which can be enlarged to this question: ‘why we see everything still, if all what we study in a quantum scale has motion?’

The answer given by quantum physics that we shall expand further to all scales is the law of complementarity: ‘all what exists is still and has motion at the same time; all is a ‘particle’ and a ‘wave’’, but we perceive a limited quantity of information about reality – either, but not both, dual, complementary states, a motion state and a still state.

Thus, we apply this duality to the definition dimensions: dimensions are both, an extension of fixed space, perceived as motion or a motion ‘perceived as fixed space’. For example, the ultimate space of the Universe, vacuum, is teaming with energetic motions that appear at a large scale ‘as fixed’ space-distances (quantum vs. relativistic view); Galaxies separate from each other at huge speeds but we see their ‘motion’ as an expansion of space…Thus:

‘A dimension is a motion perceived as still extension or distance’.

Hence dimensions can be generated by motions of particles and reproductions of waves. In the lower scale of string theory we can describe those dimensions as the reproduction of strings. But what matters to us is the vacuum of our scale of space-time; which can be seen as electromagnetic motion at c-speed, since it is filled of light and background radiation, or as vacuum space.

This duality of motion-distance is similar to the way we perceive a car moving also as a fixed line of distance in a night picture, or the duality of stop and go of a film camera, which is perceived as motion. And it has deep implications, which help to resolve many uncertainties of physics.

It explains the generation of dimensions:

A point with motion creates a line dimension; a line in motion creates a bidimensional plane of information; a plane in motion creates a mass-volume and a volume in motion creates a life-cycle or world-cone – the concept used in Relativity to define the 4th dimension of time.

The reader might notice that those motions become perceived by human senses as a duality of motion-stillness, so the 1st dimension is seen as speed, the second, a plane or sheet of information as the page you are reading as ‘still form’ or information the 3rd, a volume or mass becomes again a stillness, and the 4th a world line, which is substituted by a time cycle, as motion again. Thus again the past, the 5th dimension becomes ‘still’ and the future, the 6th dimension, an uncertain motion.

Indeed, theoretically, prior to Absolute Relativity there were in physics only 3 dimensions of space and one of time.

But under the duality of the Paradox of Galileo, in reality those 3 dimensions of space are also motions. And indeed, it is obvious at quantum scale that ‘space’ is really a bubbling world of electromagnetic energies and particles condensed from those energies.

This also applies to our scale. So if we consider the motion of a gas, volume is proportional to that motion/temperature: PxV=knT. But volume is space; so space grows as motion grows. And it applies to the aforementioned cosmic scale of galaxies moving/creating distances.

Moreover we observe that each ‘bigger dimension’ includes the previous ones. So the line includes the point; the plane, the line; the volume the plane and the world-cone the plane.

Can we extend this growing game of dimensions in motion that create a new dimension? Yes, we can, when we do a proper analysis of what the 4th dimension of time in General Relativity really means – something which as most definitions of physics is far better understood in mathematical terms than in logic, conceptual ones. Indeed, physicists, unaware of the paradox of Galileo still draw higher dimensions as weird spatial drawings, when beyond the 3rd dimension our ‘senses’ spatialize, by creating the stillness of light-space, all other dimensions are perceived as motions in time. Hence there are not ‘weird’ impossible drawings of dimensions beyond the 3rd one of ‘volume’, for reasons that go beyond this introductory lesson on Absolute Relativity.

Physicists spatialize time, in terms of its ‘present’ dimension.

Few physicists understand that time has also 3 dimensions, since they only study ‘simultaneous measures’, mathematically described with derivatives, ∂t, which are an ‘instant of time’; that is, a slice of present in the total flow of the 5th-6th dimensions.

This was further proved by Einstein’s Relativity a theory, which is concerned with the values of ‘simultaneous measures of space-time’, hence with the values of a relative ‘present time’.

This concept of present time derives from Galileo’s measure of speed, V=s/t, ∂s/∂t; hence ∂t=∂s/v. which is the meaning of time in standard physics.

Time is defined then in terms of space and speed (which are according to the paradox of Galileo, similar concepts of fixed space or motion space). Hence physics ‘spatializes time’; and vice versa. In those terms, space is just the perception of present time in simultaneity. Or in words of Einstein:

‘Space is measure from a simultaneous frame of reference’.

Thus physical time, ∂t, only shows a very limited ‘dharma’, or part of the entire flow of time from past (the fifth dimension) to future (the sixth dimension). In physics the fourth dimension is only present time, which is what the Riemannian geometries of Einstein’s and Minkowski’s models of space-time study.

Time though as any child knows before it learns General Relativity, has not only the present time, the spatial ‘dharma’, or slice of the flow of time that ‘freezes’ in the field equations of Einstein. Space is a fixed perception of a time motion.

Thus, all systems must, by the paradox of Galileo, be defined in time and space to achieve a complete description of an event. Then both will be an equivalent perspective on the same event.

Now with those concepts clear, the 5th and 6th dimensions can be defined both in space and time, as all other dimensions can be.

The 5th and 6th dimensions in space.

Then there is the 5th and the 6th dimension of time, past and future. And while this might seem trivial, it is the beginning of a true r=evolution on our understanding of it.

In space the 5th and 6th dimensions refer to the fractal scales from the infinitely small to the infinitely large, where the human scale will be considered the border between both, for reasons that will become clear when we define them in time.

And the main properties of those scales, each of them a discontinuous space-time in itself, are the self-similarities and invariances of form that happen between them and give origin to its absolute relativity.

Since we shall find the same topological forms when we ‘evolve’ from one scale to another.

Yet since form is function, we will find also the same functions in each scale. For example, in all scales we will find clock-like cyclical forms that pack information, from informative particles to human heads to robotic ones.

Finally the relationships between any given ‘I’ scale and its i-1 and i+1 smaller and bigger scales are always the same. So the relationship between cells, animals and ecosystems (the 3 scales of biological beings) can be formalized with the same laws that the relationships between 3 other scales, such as particles, atoms and molecules (3 scales of physical beings) and so on.

The 5th and 6th dimensions in time.

From a time perspective, reality has not only 3 dimensions of space, but also 3 dimensions of time, past, present and future. And the relationship between those scales perceived in space and in time is simple, but deeply meaningful to understand the complex Universe:

– The scales of the 5th dimension, simpler than the human scale are ‘the relative past’ if we consider an arrow of complexity and social evolution. So particles were born before atoms born before molecules born before cells born before men born before societies. As each new scale is made of quantic networks of ‘smaller beings’ of the previous scale. So without cells man cannot exist and without molecules cells cannot and so on.

– On the other hand the scales of the 6th dimension, more complex than the human individual are scales of a relative future.

– And in between there is our scale or relative present, which exists as the dominant scale of reality, ‘now’.

It is then needed to separate past from future, just because we humans are in the present? Yes. Since in complex time theory, we shall find that the future is constantly calculated and chosen among many futures , while the past is already a single one. Thus the future is potentially including all possible pasts, as the past contains all the presents that were.

Yet for you to grasp fully that structure we need to do some clarification on the nature of time in physics and expand those notions to define ‘cyclical time’ and the concepts of relative past, present and future in terms of the density of information of a system, which is proportional to its duration in time.

The 5th & 6th dimensions in all sciences: causal logic and forecasting.

Science deals mostly with the total flow of time. Since, scientific laws consist in finding patterns in the events caused by a certain being, which will repeat those events called ‘actions’, once and again – fact, this which allows all sciences to predict the future, as we know where the sun will be next year – same repetitive cycle; and so on.

Thus while time in physics is mainly (but not only) related to the study of present space, in most sciences time is related to the understanding of the causal flows and cyclical patterns from the past used to forecast the future, according to those previous cycles of the past.

We conclude that the study of the 5th and 6th dimensions are mainly the realm of causality and duality, of logic and evolutionary science, of bio-logical sciences, which have had much more success than physicists in exploring long ‘time’ ranges with evolutionary and organic, morphological theories about how information, form, changes with time.

Both works on time, Relativity and Evolution must be fusioned and that is the path of the future of science. And the theory that fusions them is not physics neither biology but the sciences that study both together, general systems sciences, whose formalism I developed in the past 2 decades as an Independent Researcher and explained in a series of lectures on the international congresses of Systems sciences (1).

General Systems Sciences could be a good name for it, complexity other, Absolute Relativity a third one. But let us call it only the study of the 5th and 6th dimensions of time in depth, as physicists study only present derivatives of time and evolutionists have not understood fully the morphological laws of evolution, its limits and repetitive patterns.

All this said is evident that science has always been concerned with the understanding of the 5th dimension of past, its patterns and cycles to be able to forecast the 6th of future, through the laws of causality that creates the future, departing from the past, through a series of ‘quantum dharmas’, simultaneous measures, perceptive stills of reality called presents.

This is indeed the central question of knowledge – to know the causality of the past and how to extend it to understand the future:

Why things exist and become extinct in time, how they are created and assembly themselves in space, shaping ever more complex systems – in brief how the social networks, systems and scales of the Universe emerge into ‘being’ with self-similar laws, forming the discontinuous space-time intervals of the fifth dimension.

 In search of the General Systems Theory that unifies all sciences  

In the graph, 2 invariances of Absolute relativity, above, the invariance of topological forms and actions that create the complementary systems of energy and information, e xi of the Universe, and the invariance of scale between a relative past of null information and a relative future of more information than the present point of view of the human observer:                            


Humans exist in a relative present scale between relative past scales of lesser information and future scales of more complex eusocial form.

In the graph, 2 key structures of Absolute relativity:                                 

  – In the upper graph, the units of all the scales are complementary systems with a field/body of energy and a head/particle of information, which gather in social networks as cells-units of a higher scale, till reaching the whole Universe, whose complementary systems are details that mirror the elements of the ‘Generator Equation’ E<=> Ti, ‘generates an enormous number of entities with a cyclical, informative particle/head and an energetic/reproductive body/field. In that regard the Generator equation as all equations is a formal, synoptic mirror of the reality it describes. Yet we contend that all systems of the Universe to be ‘real’ must obey the complementarity principle and be made of an informative system that processes information and guides an energetic system.                         

     – Below the scales of discontinuous space-time, evolve form, in/form/ation from the absolute past into the future through the human present-scale.

Since the foundational congress at Macy’s for 50 years General Systems scientists have searched for the laws that unify all sciences under the tenants of organicism with little success. This is due in part to the conceptual difficulty of finding those laws and the advances needed to create the proper mathematical and logical formalism to study them.

Those basic mathematical, conceptual and logical advances are studied in the first part of this paper. While the experimental examples occupy the second part.

Yet there is a deeper problem to find the laws of GST: the existence of a series of ‘dogmas’ of science, which are neither proved no right and must be corrected harmonize all those sciences. This of course means the change of paradigm in many disciplines, which as per Kuhn is always an impossible task as people memorized the beliefs of the previous paradigm.

It is also necessary to find a common jargon, which scientists understand and can be applied to all those sciences, which in this text, unlike previous conferences (1), will be mainly mathematical and physical, as we are dealing with the process of emergence of the laws of all systems, which first appeared in mathematical space-time and then in fields of energy forces and informative particles (where energy is defined as ‘space with motion’ and time as information in motion, in-form-ation, forms-in-action).

All those tasks are ‘a priori’ steps before the laws common to all sciences are found and generalized. So we shall deal with errors of science regarding time first (lineal time vs. cyclical time, duration vs. frequency, single space-time continuum vs. multiple fractal cycles of time, single entropy arrow of future time vs. dual arrows of energy and information, which together create the Universe) etc.

And so part of this lesson requires to upgrade those ‘dogmas’ of science and define properly its concepts. We shall only deal with the main dogmas of time and space physics upgrading them to a theory of multiple, relational space-times, which was first introduced by Leibniz and today the leading theoretical physicists recognize as the closest theory of reality even if as Einstein put it, ‘Leibniz is probably right but that means to build up again the entire field of physics from scratch’.

What we can and must keep of that building are the fundamental principles of relativity and quantum physics, the concept of invariance and actions.

Since they turn out to be the ‘transcendental concepts’ that emerge in all scales. In all of them we shall see how the entities of each scale repeat the same actions of energy and time, which evolve in form and quantity but not in quality.

Invariance is the key to the stability of the Universe, which repeats all forms and goes through patterns and self-similar processes thanks to the invariances that preserve the forms of energy and information, the motions and translation and rotations, the frequencies, functions and actions of reality.

The invariances of the Universe thus become the ‘reference’ frames, the ‘attractors’ if we were to use complexity jargons, which are the steps of a program of creation and destruction of self-similar forms, which will be eternal.

The most important of those invariances will turn to be that of actions, made of motions and forms, which resume all other invariances, and give birth to the ‘generator equation’ of the Universe.

In brief, the Universe is made of an infinite number of ‘knots of time actions’, of entities which trace cycles with motion, but also with a goal and purpose: to absorb energy, information and reproduce both in other regions of space-time. Those 3 basic actions are common to all entities, from the smallest quarks and electrons that reproduce self-similar particles to the biggest galaxies, whose black holes catalyze the formation of new galaxies and stars.  The fourth action though, social evolution in herds and organisms, is the less understood and most important because it creates the social scales of the ‘5th dimension’ from past to future.

And we shall see how the fact that all scales of growing social evolution complexity can still relate to each other, from the simplest atom to the biggest planet, from the simplest hormone to the biggest organism.

So invariances allow the Universe to be stable and create at the same time actions and motions, in a perfect balance between energy and form.

But to fully understand this we have to break the dogmas and errors of science and that is the biggest wall I have always found whenever I tried to upgrade a ‘classic scientist’. And the biggest of those errors concern the understanding of the ‘arrows of future’, the choice of ‘future motions’ any entity creating that future can produce. So far science, influenced by physicists only recognize entropy, here defined as the arrow of motion, of energy. But the arrow of creation of form, of social evolution of parts into wholes, of points into networks is as real and fundamental, even if its properties are opposite, to that of entropy. Thus the Universe constantly switches between form and motion, stop and go, particle and wave. There is not a single entropy arrow but infinite beings, which perform cycles of time that can be entropic, creating disorder or negantropic, in/form/ative, creating order.

Only then, when we define properly the time arrows of the Universe, its multiple cycles and frequency laws we can fully grasp how the past creates the future and wonder about the perfect design of a Universe which will turn out to be eternal, discontinuous, multiple and with 6 dimensions, 3 of space and 3 of time, self-similar to each other…

The 3 dimensions of time.

Indeed, the second of those dogmas of classic physics is the belief that there are only 4 dimensions in the Universe, 3 of space and one of time – an idea derived from the limited study of time as a ‘derivative’ of spatial parameters (distance Speed), by physicists. Physical definition of time, hence defines only an ‘instant of time’, a ‘present’ moment; and this did not change with Einstein, as he still uses Galileo’s definition of time: ∂t=∂s/∂v and works mainly with problems of measure and simultaneity.  This of course obtains a great detail on the measures but it does not give us a big picture of all the properties of time, and what we call here the fifth dimension (the evolution of space-time structures from the origin of time till its end). In fact a rigorous definition of the dimension of time is self-evident: if space has 3 dimensions times have also 3, past, present and future, but unlike the 3 dimensions of time which are totally relative and invariant in its properties (so what is tall become long if we just move the coordinates of the entity we study), time dimensions are different. The properties of past, present and future are not the same. And though this is not understood fully, scientists have a glimpse to those differences, which we could resume saying that relativity (both Galilean and Einsteinian) study mainly ‘present time’, spatializing it, since space is just a ‘slice’ in the total flow of time of the Universe; the 4th dimension studies the past and its evolution of complex new structures and like the present is a ‘single one’ but the future  is created or rather calculated in a different manner by multiples points of view, and causal cycles, which interact and keep a certain degree of uncertainty as to which will be the ‘final path’ that becomes present and then past. In this paper we are mostly concerned with the structure of the past, both in time and in space; since present time or ‘space’ is exhaustively dealt with by physicists and the rules of creation of future require a complete understanding of the past and the present to make sense of them.  You can regard the Universe as a sort of flow with the form of a palm tree in which the past is a single line, the present is a dense bulb in which infinite ‘Maxwell’s devils’ are creating their cycles of order from their point of view, and the future is a series of parallel paths, of which only one will become first the most probable and then the single present.

This we can see it experimentally only when we perceive quantum phenomena, as we are ‘perceiving’ often the entire range of time between birth and completion of the existence of a particle and, as time events are so fast at that scale, we can make pictures of the whole ‘latitude of time’ as we make pictures of cars moving, as entire lines.

Or in other words, the past is better understood with the laws of evolution, which show ‘paths that were not made’ when the future was being calculated in the scale of life (extinct mutations), and the strong tree of species that did make it, multiplied and became the main lineage of life till today, and that is the past. Such past obeys a simple program of creation defined by the invariances of form, morphology, in/form/ation, topology, all self similar words, with a sequential order derived of the invariances of time ‘frequencies’, the ‘qualitative’, internal, self-similar new parameter to measure time cycles among which the most important is the ‘life-death cycle’. The result of the interaction of the laws of topology and time-frequencies and its invariants is a self-repetitive process of creation of the same organic super-structures that created from particles, atoms, from atoms, molecules, cells, organisms, planets, galaxies and so on.

This paper as most of the conferences given at ISSS deals with that process and game of creation of the super-structures of reality, its fractal space-times and cycles that sustain the ‘present’ we exist in.

Then that present is mostly studied as a game of motions, momentums, rotations and forces, the invariances of physical space, so exhaustively studied as the ‘4th dimension of time’ by physicists. But such narrow definition of time has self-evident limits. And they are shown in the null understanding by physicists of what is evolution and what is in/form/ation, form and the laws of duality (the interaction of energy and information, the two main ‘arrows’, forms, parameters, ‘motions’ or substances, here also self-similar words, which create together the future).

And this deals with the ‘6th dimension’, the most fascinating one, yet beyond the scope of this paper: How the interaction of the arrows of time-information-frequency-fractal form and energy-motion-distance-force-space (self-similar terms or ‘expressions’ of those 2 arrows of time), which in the past created the ‘complementary systems’ of energy and information of the Universe, will now keep calculating in a causal manner the ‘choice’ of a future. That this is the process of calculation of a future we know because we can see it in the faster time processes of the quantum world. But as all scales follow the same rules, we can conceptualize that process easily in our scale. For example, in a market, the future price of a share or a bond might seem ‘non-calculable’, but it is, as quantum physicists calculate a path of an electron, as the Universe calculates the future: there will be a number of ‘minor paths’ (individuals betting in favor or against a price or a bond) and the one with more ‘density of money’, (density/probability in quantum physics) will create the market with small corrections due to other big betters with less money. So the future is generally speaking created by multiple agents whose actions aggregate and calculate the ‘winner’ of that future, which will as time goes by become the dominant causal path and then the only past we remember or perceive.

Unfortunately the influence of physics on these themes has been so strong that most scientists today believe that the study of simultaneous present-time in a single scale of the fractal universe (our space-time continuum) is enough to know all about time. How reduced is the knowledge of time that physicists have given to us becomes evident when we think of the difference of ‘volume’ between the present, an infinitesimal of the infinite extension of the Universe and all its motions and time cycles (hence 0 x ∞ = k, a constant, ‘calculable’ volume) vs. the infinite extension of the past, which never started and the ∞ extension of the future that will never end.

In that sense the understanding of the invariances and self-similarities that allow the creation of time and its repetitive patterns and scales – the 5th and 6th dimensions of space-time will mean to XXI century science what the study of the 4th dimension of present time was for the XX c. evolution, what the study of the program of evolution of form, (restricted as we shall see by the invariances of frequency and topology), was to the XIX c. and the work of Leibniz in calculus and relational time was in the XVIII c. – the next step in our comprehension of the ultimate principles of reality ‘space-energy’ and temporal-information.

A simplex formalism of the dimensions of space and time.

How the future is created departing from the past? All sciences come to the same conclusion: the future is created by the repetition of past cycles. So astronomy left astrology behind and became a science when we knew the past cycles of sun and Earth’s rotation will happen again. And biology when we knew that viruses reproduce in radiations and cycles that kill life beings and species evolve increasing its complexity. And so on… Time is therefore cyclical: not only flows from past to future but it also curves itself to repeat a cycle, and so we talk of waves of frequencies of time cycles as the representation of the 5th dimension in its simplest measure.

But past and future are different and this fact must always be considered to ‘calculate’ the future:

The past is unique, already calculated with the deterministic causality of events but the future is NOT unique, still in a ‘quantum state of uncertainty’, if we were to use physical jargons – still under calculus by the existential actions of the complementary entities of energy and information that create it, if we were to use the jargon of Absolute Relativity… …

This difference between past and future is the key to grasp the ‘meaning’ of entropy and quantum physics, which explain in detail how the ‘future is created’ in the lower scales of maximal motion and minimal information of the universe.

Indeed, Quantum physicists are astounded about the fact that when they observe an electron path, they see all the paths of the electron, all its possible future traces, of which one is the densest, most probable one. What they are observing is how the Universe calculates the future through the creation of multiple ‘fractal’ possible paths of which only one will become the densest, ‘real’ motion and hence it will create the ‘single past’.

Yet since the future is multiple, before it ‘settles’ and freezes into a single past, it includes all the possible Universes/paths, including the past, in the same manner the Past dimension includes all the ‘dharmas of ∂t-present’ and the world-line, all the volumes of space and volume all the planes, and planes all lines, and lines all points.

Thus there are 6 dimensions, which as Russian dolls include the previous ones and so we write a chain equation to define them all:

Sum of points=∑ lines=∑ volumes=∑ presents=∑ past=∑ Futures:

∑∑∑∑ Oi-5  = ∑∑∑ |i-4 = ∑∑ cI-3 = ∑+ ∂ti-2 =  i-1 =i

The previous equation, which introduces some of the symbols required to study the 5th dimension, shows this growing scale of complexity.

The present is not really the present but just the last ‘dharma’ of a flow of time that comes from the absolute past to ‘today’, time zero. The past is a sum of ‘dharmas’ of 3-dimensional space.

And the future is not only the future, but also the entire flow of time, which we shall latter observe to be cyclical and so infinite yet repetitive. Reason why the future includes also the past that will be repeated.

And so we can introduce also a new series of fractal dimensions both in time and space, if we consider each total duration and extension of a relative entity=universe, a mere point of the next scale.

So the ‘5th dimension’, which can be considered in a simplified analysis of time the entire length of time between the absolute past and the absolute future, must be divided at least for each ‘local space-time Universe’ between birth and extinction, divided in 3 sub-dimensions, past, present and future.

How then we relate this concept of time dimensions with that of space scales, which we use first to define the 5th dimension?

The answer is an arrow of ‘time’, called complexity, the growth of social complexity and organic creation of complex structures which constantly evolve the Universe from an absolute past of null complexity and pure energy-space without form, without in-form-ation, into more complex social networks: particles that  become atoms that become molecules that become cells and planets that become organisms and galaxies, which become Universes and planetary societies…

The integration of all sciences into a ‘whole’ set of principles and laws that describe the workings of the universe and all its parts, has been the goal of mankind since the beginning of knowledge.

All those sciences though study different species of different scales of reality. And so we need an integration of those scales as parts of the  same system of laws, with parameters of space and time (size and speed of processing information) that vary but once those changes are normalized, appear all of them under the same laws. This is the fifth dimension – the scales of form as they evolve from past to future in time and space.

The 5th dimension is therefore also spatial and real, fractal, complex, informative in its structure – it is the dimension of scales of reality which have evolved from past to future in a morphological game of creation of more complex forms and ever bigger, fractal, vital spaces as the Universe evolved into more complex social systems.

Emergence of a fifth dimension. The 5 invariances of the Universe.

Absolute Relativity seems to make all knowledge meaningless, hindered by the paradox of Galileo, and all measure relative, as it all depends on the point of view. And so we might wonder what ‘holds all things together’? What makes reality stable?

The answer in a paradoxical Universe is the invariance of certain actions, motions and forms across all the scales of reality.

The fifth scalar dimension is therefore not only the dimension of evolution of form but also the dimension in which the invariances of the Universe across those scales make it stable, immortal, self-repetitive, self-similar.

It is precisely the tension between Invariance and relativity what makes reality both an eternal game of motion and change, and an invariable, self-repetitive game. Since each relativity in the Universe is balanced by an invariance, or else all would become ‘fuzzy’.

Those invariances are the essential laws of conservation of the Universe, and are also ruled by the complementarity law of all systems that must possess energy and information in balance to survive: ExI=K. Thus most invariances and associated concepts such as ‘Universal Constants’ (Physics), or Vital Constants (Biology) are born of the balance between an energy and an information parameter, which allows a force/particle, body/head system to maintain an E< = > I, which maximizes the equation of existence of the system. And vice versa, the definition of death will be the breaking of that invariance and balance: Max. E x Min. I (accidental death) ^ Max. I x Min. E (3rd age death).

In order to exist Dimensions require as constant, fixed features of reality certain laws of invariance, which make them appear stable. The dimensions of classic space reach that invariance due to the invariance of motion and momentum. But all other invariances happen across scales.

The invariance of classic relativity meant in physical terms that we don’t have an absolute relative motion. Thus, we might seem still always from our perspective but are not for others. And yet whatever our position and motion and location in the Universe is the laws of motion will be maintained (Galilean-Einstein Relativity or ‘invariance to translations and rotations in space’). But there are 4 other invariances that make the Universe absolutely relative and ‘us’ a nothingness, dust of space time.

Those four new invariances, which apply to all other sciences (hence expanding physical notions to all of them, creating what in philosophy of science is called a General System model of the Universe) are:

– The invariance of scale, studied first by Mandelbrot with his development of fractals and also by Nottale in the field of quantum physics.

– The invariance of topological forms, or in/form/ation, studied by this author with his completion of the 5 postulates of Non-Euclidean Geometry.

– The invariance of the 4 quantum actions/numbers that all systems of the Universe follow.

– And the invariance of the laws of time frequencies, which emerge determining the life-death cycles of all systems of the Universe and the invariance of the 3 ages of life, parallel to the 3 states of matter in physical systems.

If we were to use instead the jargon of Systems Sciences we would be talking of ’emergence’ instead of ‘invariance’, meaning that the laws of all the lower scales of reality emerge in the wholes of the new scale, which follow them.

So the simplest laws of the simplest scale, the mathematical space-time laws emerge in all more complex systems; notably those laws regarding dimensions, time clocks, parallelism vs. perpendicularity, topology and Non-Euclidean Geometry.

Then the main laws of quantum physics will emerge in more complex systems, notably the Law of Complementarity and the Laws of the 4 quantum actions/numbers that all systems, including humans, believe it or not, when we properly translate jargons (the key to emergence) will follow.

And finally the main laws of biology will emerge in sociological systems notably the laws of social organisms and the laws of evolution, drives of existence, ages and physiological networks (to the point the planet is a living organism, Gaia, but so it is the economic ecosystem.

Thus from a scientific perspective, absolute relativity and its invariant laws fusion the 4 main theories of knowledge of the human species, quantum physics, relativity, evolution and religions/philosophies/organic theories of eusocial love.

We deal in the paper with those 5 invariances: motion (physical invariance), form or information (mathematical invariance), time-frequency (causal invariance), scale (the 5th dimension and more complex invariance) and actions/functions.

Motion and form, where space and form is  result of invariance, what makes things seem the same what holds all together.

There is an invariance that all systems follow, the invariance of all invariances, which makes all beings equal at least in this invariance? This is perhaps the deepest meaning of the equation of existence, to be the invariance of all invariances, as it becomes a function combination of all of them, in which each partial equation is an ation of the universe.

Now, the study of all the invariances together is in itself a new discipline (the reader must understand that a GST is the origin of multiple new sciences, which will be as the XXI century advances the study of the 5th and 6th dimensions, much more complex disciplines that this introduction). So we might consider as an introduction to the next paragraph, which considers the nature of physical invariances one of its themes applied to physical space – the understanding of each invariance as the creation of a ‘dimension’ of space-time of a certain fractal ‘world’ or ‘reality’, in this case our light space-time.

The dimensions of light space-time.

In physics, dimensions are either perceived as motions of a light particle tracing a waveform or as fixed, vacuum space.

First when we study a certain system to find its dimensions, we have to define its complementary parts. In waves they will most likely be a ‘soliton’, dominant in information, the densest first particle or envelope wave, which keeps the ‘information’ of the system invariable. And then the wave itself, dominant in energy, which ‘traces’ a wave inside or behind the soliton.

Waves are thus dominant in motion and energy. Yet if the system is a particle, the wave component will be the smaller part – a trace of vibration, which in the simplest particles (photons) is often seen fixed, appearing as our vacuum ‘light-space’. Since the background radiation is space itself: light that moves at c-speed, creating ‘distance’, as our senses freeze speed into Euclidean space (paradox of Galileo).

Those 2 first spatial dimensions of light-space, the informative wave/soliton and the energy amplitude carry information. Reason why we can see them either as motion or as formal space.

‘Smaller scales’ of gravitational space do not ‘cross’ the minimal threshold of information of our senses and remain invisible to us. It does not mean they have no information. It means only we do not perceive their information. And since the product of energy-speed-distance and information is constant, there speed is relatively infinite, non-local:

Gravitational waves:  Energy x 0 information = K->Energy-speed= ∞

So the first dimension of a wave is frequency, carried by the soliton that envelopes the wave, which can be seen as a fractal ‘Cantor Dust’ – a series of peaks between empty intervals. Yet perception will ‘fill’ the dark spaces between the series as it reduces infinity into the mapping of perception. Thus, it will seem to us that frequency is a spatial length with dark and clear spaces. And then with higher detail we shall see the intervals and a Fourier series that will determine the ‘density’ of distribution of the cantor dust.

Frequency is the simplest stream of data that Nature produces. But frequency of what? Of time cycles. If masses and charges are as Absolute Relativity proves, mere clocks of time, of different speed and size, ExI=K, then the way to measure it is combining frequency with the fractal steps and we have a two dimensional Peano curve that will fill as the brownian motion of molecules does a bidimensional space.

The 2nd dimension of the wave-particle will be amplitude, which measures the inner quanta of the wave, and so it is given by the energy or motion of displacement along the perpendicular axis to the axis of frequency, and with those streams of information we have enough to make a bidimensional Universe. And this is what speed, measured in objective frequency terms, does:             V = S x ƒ

Where frequency measures the number of cycles and S the steps or length of the wave.  So the result is ‘fractal speed’, which grows when we come in closer detail and use smaller steps.

Speed, in a fractal Universe is a scalar, fractal function. This means that as we perceive smaller scales through the fifth dimension reaching higher detail, as it happens when we measure a coastline with smaller steps, information and length grows. Since now we use the concept of frequency,  v=s x ƒ(t), where s is the space traced in each cycle of the wave or frequency. For example, if we were to translate the motion of a car into frequency we would use ‘revolutions per minute’ as the wheel is the frequency of motion, where s = 2 π r.

The result is the same but we observe a more realistic picture of a ‘quantum, discontinuous motion’. In the case of a human the step or frequency of motion will around 80 centimeters per step; and so on. Steps though are used to measure ‘fractal distances’, and the length grows as the number of steps, its frequency grows. Distances, and hence all derivative parameters, speeds, work, energies, which are distance related grow from our smaller point view. And to keep the invariance of momentum, we shall diminish our perception of time, explaining the effects of the Lorentz Transformations of General Relativity (perception of slow time, etc.) Since the Universe is indeed a discontinuous space-time fractal.

In such a discontinuous space-time all concepts must be redefined in fractal terms, which by the Principle of Equivalence are reduced to our continuous ‘equal distances’ when we study only our space-time scale.

This is equivalent to the introduction of General Relativity, which also introduced a factor of ‘correction’, , which appears only when we consider closer to c-speed.

What is the 3rd dimension of such waves? Speed.

If the reader grasps the duality of seeing reality as fixed space or time motion, and the fact that only the product of both remains invariant, and have followed the previous reasoning, and realizes that now each form has a function, each space has a time motion and remembers that we defined the first dimension as a measure of lineal energy, the second dimension as a measure of information and the 3rd dimension as the product of both exi, the it becomes clear we just have ‘defined’ the 3rd dimension of our space, made of waves of light:

The 3rd dimension is exi, S x ƒ, the speed of the light wave, which therefore is perceived as fixed (first postulate of general relativity), and its obtained by the product of electric and magnetic constants (Maxwell equations), which are the energetic and informative fields of the light wave, whose product is perpendicular to each other, creating the 3 dimensions of our perceived Euclidean light-space. Therefore light-space dimensions are our space dimensions, which we see as fixed but in detail, have also motion.

In the study of the 5th dimension, this ‘fractal factor’ of correction appears always when we study a system across the 3 i±1 scales and use frequency instead of human time clocks to measure it.

For example, Energy = k  ƒ (t). And indeed, in quantum physics we write E= h ƒ, the equation we used to define mass as a vortex of acceleration. It is interesting now to compare again both equations, E= h ƒ and E= c2 M… Since Mass is related and measured with frequencies, this leads again to a deep, revealing similarity; that between frequency and mass, studied in depth in our analysis of Einstein’s mass theory and its future evolution.

Thus while individual parameters might vary what the Universe ‘keeps’ are complementary exi=k systems. So what remains ‘invariant’ in the Universe are precisely those dual structures of ‘energy’ and ‘form’ (momentum in physics, uncertainties in Quantum, etc.).

Philosophical meaning of absolute relativity and its fractal scales.

Since the beginning of science our quest for knowledge has shown humans to be irrelevant in the cosmic scale. First Copernicus dethroned man from the center of the Universe. Then Darwin lowered him to the lineage of apes. Then Relativity and quantum theory made us doubt of our senses, motions and measures, which were uncertain and relative.

Thus, while popular culture has boasted the arrogance of mankind, till the present paroxysm of selfish ego-trips, where each human under the propaganda of anthropomorphic religions, consumerism, advertising, nationalism and audiovisual ‘cartoon’ heroes, thinks entitled to all, the supreme race of the Universe, with a manifest destiny, etc. etc. science has advanced in the opposite direction, objectively putting at face value mankind, which turned out to be just another complementary species of energy and information, like everything else in the Universe.

Since those scales seem to have no limit nor our scale of size is special, despite the fact that subjectively we think we occupy the center of those scales, as we thought the Earth to be the center of the Universe.

III. PHYSICAL INVARIANCES.

Entropy and chirality

A key element of Absolute Relativity and the fifth dimension is the new meaning of entropy related to a fundamental property of the Universe, its ‘chirality’ or different orientation, when we move from a relative past, lesser evolved scale into a more complex informative one. This motion, which can be considered a motion between scales (spatial perception) or a motion in ‘Absolute Time’ (temporal perception), is not commutative. It is not the same going upwards than downwards in the fractal scales of the Universe and this is perceived in science either as chirality or entropy (each scale & science has crafted their own jargon for self-similar phenomena). Thus:

–  The laws of entropy are chiral, irreversible, in the sense that they favor one of the directions of order, from the smaller i-1 scales to the upper i scales. Since he macro-scale – for example the pales of Joulot’s machine – have a 100% efficiency converting its motion into motion at molecular scale, while in the other direction the efficiency is never 100%.

This is really the meaning of entropy, which can only be fully understood after the realization that the different scales of space-time are not in the same continuum. There are discontinuums between the wholes and the part, which must be bridged through systems that transfer energy and information between them, and those transference are not commutative.

And this is why in any system the ‘upper scales’ control the lower scales with massive changes in their parameters of energy and information, which are transmitted to the lower scales. While the lower scales are at disadvantage, when they want to control the upper scales, as the ‘momentum’ or combined exi force of the microcosms does not transcend with the same efficiency.  And this applies to all systems, from top predators of bigger size that eat many smaller ones of bigger combined mass (whales eating krills) to the power the upper social castes that control their lower ‘energy classes’ with languages of information (money, laws) and energy (weapons), while the r=evolutions of the energy classes are often ‘disordered’ motions, as those of heat.

The fact that information from the upper to the lower scales, from the whole to the group, is 100%, efficient, while in the other direction from micro-cosmos to macrocosms is NOT, is the ultimate reason why those upper scales can exist, somehow ‘parasiting’ the energy of the lower ones.

– The second correction introduced on the laws of entropy by the scalar universe is also fundamental and explains why the Universe is immortal and will never die. Since the laws of entropy were defined only for one scale, that of electromagnetic, light-space, which is an ‘energetic force’ that expands the Universe.

The 2nd law: entropy is a local property of the light membrane but gravitation is an informative force that restores the order of the immortal cosmos, since it has only an order/informative, implosive, attractive arrow.

Thus the Universe neither grows nor it shrinks. Gravitation, which dominates galactic vortices implodes energy into mass and electromagnetism expands mass into energy: E=Mc2+M=E/c2 becomes then a zero sum of implosions and explosions, beats of EóI, which together balance the total Universe.

Thus the idea of an ever expansive, dying universe is only the generalization of the overused second law of thermodynamics.

The black hole ultimately restores the balance by absorbing our electromagnetic membrane and creating mass with it, which we see ejected on the polar bi-jets of the whole.

The impossibility of a machine of continuous movement only applies to heat processes that include the ‘molecular parameter’ of temperature.

Though the expansion of physics to include the laws of scales is much wider we shall leave the theme here, as those are the best known invariances and scales studied by classic science.

Information dominates energy.

Other form to consider the quirality of the scales of reality is the dominance of informative networks over energetic ones.

Information dominates energy because informative ‘networks’ ∏ are stronger than mere, herds, ∑, which are connected only in the evident, i-plane of existence, while they perform their arrow. Herds follow the search for an arrow – normally energy, sometimes information. But when information is what it is transferred, herds tend to evolve in networks in which there are causal memories that chain the system to other systems, neuronal networks of white matter in neurons and brains, electromagnetic cables in machines of information, etc. So we write:

∑i=∏, where i is the number of scales across which the network of information exists and controls with its bits and networks. Thus we write the equation of a complex organism as:

∑Ei<=>∏Ti±1= ∑ | x ∑i±1 O

The second notation is visual, geometric, as the universe is indeed a game of topologies in action, where the lineal, planar form of energy limbs/fields are ordered internally by mixed fields, X, guided by an informative head of bits of information that form both an internal language of control of the body/field and an external sensorial absorption of external information.

The invariance of momentum across scales.

Let us consider now the most important invariances of physics, the invariances of momentum, which is the product of two relative parameters of energy/space, the speed of the system, v, plus its informative/time clocks, the mass or charge of the system, m,q. Those quantities are not always conserved, as in the case of accelerations close to light speed (Lorentz Transformations). Yet its product, the momentum is not conserved, and when the momentum is no longer conserved (emission of a neutrino) is because the system is broken and the particle transformed in other particle or dissolved.

Thus the relativity of motion vs. form of all systems is balanced by the invariance of its product, m x v or momentum.

When we apply the concept of invariance with rigor, however we must consider the i±1 scales that ‘surround’ the i-system as the ‘domain of the event’. For example, in the previous example, the neutrino is not perceived in the light space-time membrane in which we exist, so it will probably carry energy and information into the gravitational membrane in which we are included. But the total i±1 scales will keep the total invariance.

A glimpse to the laws of invariance between 3        i±1 scales.

So what is the meaning of the Lorentz Transformations and self-similar processes in which the E and I parameters change?

Obviously an action that transcends or descends a certain i-system into its lower i-1 scale, with faster time-speed and smaller spatial-distances or an upper i+1 scale, with slower time-speed and bigger spatial distances (hence taking longer to close a cycle). Yet the product of both is constant, reason why forms can transcend or descend scales maintaining the invariance of momentum, which is the main parameter of survival.

ExI=K, represents the power of a system. Thus because their total volume remains invariant to changes of scale, the top predator species with maximal momentum cannot extinguish all the species of an inferior scale.

Absolute Relativity shows that in a fractal Universe charges and masses are self-similar vortices, clocks of time that carry a self-similar amount of information, (as Lorentz contractions accelerate the information processed in smaller space-scales). So all scales are relatively equal in its volume of energy and information:

[∑(ExI)i=n = ∑(ExI)i=x] for any relative value of x and n

Which means the total volume of ‘functions of existence’ of an scale is approximately equal to the volume of the upper and lower scales. There are though small differences, which respond to the laws of entropy that are also slightly changed when we consider the i±1, ternary scales in which entropy processes take place and latter we shall study in more detail.

Further on those laws are kept for all the invariances studied here, time-frequency, energy-motion, actions and forms across all the scales. For example, in the biological realm, if we compare the two main animal scales of size and speed, the human and ant scales, it turns out that those invariances are kept for the two most powerful top predator, social species, the ant and the man: the weight mass of all ants equals that of all humans, even if the ants are much smaller. Hence they have a faster time speed of information processing/perception; but to keep the invariance of ‘time frequency’, they must live shorter. And in fact given the ‘decametric’ scale of most i±1 systems, the longest living ant lives 7 years, but since insects process information 10 times faster than we do – reason why you never catch a flight – she lives 7 x10 years, the life of a human being.

All clocks of time measure the same cycle, the larger cycles go slower, the slower cycles are more extended in time. As in the sci-fi movie, the shrinking man, reality shrinks but accelerates. Vortices of mass accelerate to the c-speed limit of the event horizon of a black hole, which is extremely tiny.

Definition of the Universe in terms of the 5 invariances.

We conclude from the existence of 5 invariances, energy, form, action, scale and frequency that:

‘The Universe is a system of networks of knots of actions of energy and time, perceived as forms and motions. Beings perform cyclical discontinuous actions as they switch between feeding, perceiving, reproducing and acting in social networks, in a sequential order which is the absolute invariance of the game – the life and death generational cycle… in which  the game is preserved…

The cycle is formalized by a single function, max. E x I, the function of existence,, whose developments show the selection, extinction, recreation, fusion and fission of all those cycles and beings.’

Recap. The fifth dimension organizes space-time cycles into more complex structures, keeping a balance in the product of the energy and information of the Universe, exi=k. The fractal structure of space-time is revealed through the 5th dimension, which changes our view of the Universe and corrects many errors of science, acquired using only a space-time continuum with only 4 dimensions, 3 of space and one of time. The fifth dimension from a logic perspective is related to the evolution of form and its social structures.

IV. INVARIANCE OF QUANTUM ACTIONS.

The main discovery of quantum physics was the understanding that the Universe was not made of substances but of motions called actions that combined energy and time. So from a quantum particle to a human that states ‘I don’t have time or energy to do this’, we find those two ‘actions’ to be the essence of all realities. We are all ‘knots’ of actions of energy and time. And the next step is to define properly those parameters, classify all possible Universal actions, find its ‘functions and forms’ and systematize all that knowledge in a series of basic laws that all physical, biological and sociological systems follow. Let us then describe those actions, motions and forms in its simplest terms, departing from the fact that all what exists is a complementary system of actions of energy and time.

The Universe is made of actions of energy and time, of motions with form, of in-form-actions, of information. So we say we don’t have energy and time to do something, as we are also made of such actions.

Physicists have explored mainly the mathematical formalism of those actions in the realm of quantum particles, but we want to expand the concept to all the systems of the Universe.

And the main question we want to resolve is the types of quantum actions that exist in all those scales.

Beings constantly create actions of energy and time. What you see are knots of such cyclical actions… fabricating time. What we see are the trajectories of beings performing in an alternately causal way their cycles of time. One of the most common cycles is to have a p.o.v. becoming a focus of a force, which acts as its source of energy and information. A first paradox of Galileo happens here, as we can perceive the point as static and feeding, moving along the field of energy and so we can establish a static or dynamic analysis. Those points then ill feed along that path and a certain moment satisfied that action will try to fulfill others, and in that switching on and off actions will seem to disappear and new, different trajectories motivated for another action appear. If we see densely packed in time and space those actions they will be sequential and those causal sequences are the stuff that latter (paradox of Galileo) seen as a package of space-time or organism, are the reality we see in its infinite fields.

The why of the Universe turned out to be rather simple and biological, more than physical, even if it was a discovery that starts in physics with Planck’s realization that the simplest Unit of reality is NOT a substance but a cyclical action of energy and time. Quantum and cyclical are treated as synonymous, a quantum is a form that we might perceive as fixed and substance but it is really nothing but a morphological motion, traced by a being, that in the specific scale Planck studied, we could hardly see, the light-space. But all what that being did were actions of energy and time.

But can build the Universe departing of those two primary substances or ‘arrows of the Universe’? Yes we can. And that is what I did back in the 90s. The concepts are easy, if you are able to transcend your memetic imprinting and ignore Mr. Planck’s desperado dictum when nobody listened to his astounding discovery that we were made not of substances but actions and hence motions (‘for a new paradigm to be imposed all those who learned the previous paradigm must die’).

So try to follow me with a ‘Tabula Rassa’. You have two entities, energy and time, and they have motion, so they create actions. The simplest combination is called an h-Planck constant. That gives us a first ‘being’. Now forget your abstract, earlier Hegelian imprinting (this you might not know, but history of science tells us earlier German thinkers were idealist as philosophers of science and did not consider the Universe made of ‘realities’ but of ‘mathematical probabilities’). Think rational. h-Plancks are ‘real’, the simplest bricks of the Universe, and they are made of energy and time. In fact you perceive light, when you stop seeing light you stop seeing the Universe of space-time.

Therefore the space-time Universe we perceive is made of actions of light of energy and time. And physicists have discovered that indeed the vacuum is made of energy, which moves and change in time. But we said the Universe of space-time instead of the Universe of energy and time. Space has become energy. And indeed, space and energy are two ways of seeing the same thing.  Then we come to the other term Time…. But we use in many sciences instead of space and time, energy and information, so time and information, ‘form-in-action’, form must be related. And yet we use clocks of time, cyclical forms to measure time. All what exists is made of space-time, in abstract, of energy and information, self-similar terms.

Now when you say ‘I don’t have energy and time to do this’, it is obvious that subconsciously you know the two substances of what you are made, energy and time and you are right. Because what you are, what we shall describe in this book in great detail is how you ‘become’ yourself, departing from the two primary substances of the Universe, energy and time, which together form an action, the basic unit of reality.

So Duality deals with that fact, and extracts the laws of energy and information. Now, think again, what else can be there? The simplest thing is to combine energy and information, and you get a 3rd entity. This combination e x i, or e x t, if you want to use Quantum or Einstein’s notation, turns out to be the essential equations of physics. So we are on the good path.

Thus now we have 3 arrows, energy, information and exi, that we shall call the arrow of reproduction or creation, as it creates a third entity, one which is made of two substances, and turns to be an ‘action’.

What else can we find there? Since there are many bites of energy and bits of information, we can combine them, and then we find the 4th arrow:

∑ e x i

This equation, which the reader should observe includes all the others, is what I have called the Generator equation of all the entities of energy and information or space and time of the Universe. And from that simplest equation and the interaction of its two ‘simple arrows’ or motions, we create its two complex forms, actions and societies. And this, my friend is all what we shall need to explain you all what exists and more… what you don’t see but it exists also in other fractal scale of reality.

So now it is clear what it is the game of existence, the Universe: a game of relative organisms, of each scale of reality, performing externally in an ecosystem, its space-time, cyclical actions, switching among its tasks of energy feeding, informative perceiving, reproducing and keep in harmony with the self-similar points of its energetic, informative and reproductive social networks. We exist in a series of parallel games of feeding, perceiving, evolving and reproducing. All of us can be perceived externally as ‘points of view’, Non-Euclidean points, playing this geometric and biological, existential game:

We are all knots of discontinuous=quantum, cyclical actions of energy and time. Since the Universe is continuously differentiable during the cycles of time their beings perform, but when the p.o.v. switches its action, it has a point of discontinuity, as the system changes its trajectory and goal towards a new action. And then again will return to its feeding, perceiving or reproductive or social action. Thus actions are quantum actions, as the modular being switches between the. And we see this process is the trace of those cyclical actions that ‘draw’ the 4 dimensional space-time universe.

If actions were all of a certain type, the Universe and all its species would be far more continuous, always repeating the same cycle. This is not the case as all of them switch between 4 possible cycles with different frequencies and forms, and as they switch they abruptly change direction, extinguish a cycle and start one, and then return to the same type of cycle, creating the discontinuous forms of the Universe.

Relationships between the simplex and complex arrows.

The dualities between external, spatial and informative, simplex forces/ actions and complex, internal forces/actions/networks create a series of patterns and synchronicities that are repeated in all systems. The simplest relationship is one of causality between the simplex and complex arrows:

∆ Energy->Reproduction and ∆ In/Form/ation->Social evolution through a common language.

Complex reproduction requires a great deal of energy to be achieved, so for example women cannot have children without a proportion of body fat, and most cells do not undergo mitosis without a cytoplasmic growth. So reproduction is the complex arrow of energy and we observe many causal relationships and ‘cycles’ of the type:  E->Re. On the other hand social evolution depends of a language of information that the different ‘cellular elements’ understand. Thus social evolution is the complex arrow of information and we shall also observe many relationships of the type:  ∆i-> ∑ e x I.

Further on the 4th social arrow creates stronger top predators, either herds (loose groups of self-similar organisms of the same type) or organisms proper (more connected systems that organize 3 sub-systems, heads, bodies and limbs, specialized in information or formal structure, reproduction and energy, all of them connected by a 4 system, the linguistic system that organizes them all).

And this reduces all actions perceived as discontinuous cycles of time in which a particle comes to a point in which it absorbs or emits different types of energy and information, to the 3+∑ combinations of them: energy feeding, information processing, reproduction of both, exi, and social organization of self-similar beings, ∑exi.

So we define any entity of existence as a knot of the 4 quantum actions it performs in its cycles of space-time.

To do so the point must perceive and gauge. If it is an electron it will gauge and move to capture energy to structure its form (2nd quantum number) and it will use a language of information to evolve socially (magnetic number). Points thus are moved by the need to perform their 4 cycles of existence, a desire to acquire more energy and form which they better achieve in networks, with the flexibility of herd hunting and network thinking. But in each scale of reality there is a rational point of view calculating its strategies to get more energy and form.

That we have no free will but we have will is the deepest consequence of stating that all points of view search for its 3+1 actions or ‘dimensions’ of existence, its energy, informative, reproductive and social arrows.

But what means to measure time through the internal frequencies of reproduction of information of an entity of the Universe? What is the meaning of those cycles, what events of frequency we measure?

The answer is actions. We measure the frequency of actions of particles of existence that trace certain geodesics as non-Euclidean points of time, travelling through a 6-dimensinal non-Euclidean Universe, switching between those cycles with patterns that create frequencies, waves of time, of 4 type of ‘energetic actions’.

And we will return to that. Because it is the second invariance of the Universe. All its entities follow 4 quantum numbers or basic frequencies between its actions of energy and time.

The invariances of frequencies of time, I, and actions of time, exi, are in that sense the key invariances to interpret properly in physical and biological sciences the meaning of time cycles, and frequencies. What we observe in the Universe are particles of many scales, which perform trajectories in which a particle will feed on energy or information and the frequency of those actions in which there is absorption or energy or imprinting of information appears to us as information over the entity. Information thus become encoded in the trajectories of entities that with a given frequency different for each species absorbs energy and information or recombines it, exi, emitting a self-similar form. The Universe of motions of time is in that sense a harmony of 4 basic frequencies, actions.

Recap.

Why particles of existence turn into cycles? The answer is vital: to make certain actions that ensure the survival of its systems of energy and information. Non-Euclidean points are points of view that gauge information and move their complementary body with a will, seeking for more energy and information and reproduction, seeking for an organic will to repeat their cycles and motions. And this will make the point a mind, Atman or soul – a perceptive point of view that absorbs information and moves its body accordingly after ‘thinking’ the information to cater its will.

All systems perform 4 actions to survive that define a simple program of ‘existence’, which all species of energy and information follow

The deduction of the program is simple. First, all what exist in time is an event, called an action, made by a complementary system of energy and information. Hence all actions have at most 2 components, energy and form, exi=k or exT=k (depending on which self-similar concept you choose information or time). Further on there are many quantic actions performed by many systems. So all what we can do is 4 type of actions that we shall call ‘arrows or motions of time’:

Those arrows or actions performed by complementary bodies/fields of energy and heads/particles of information to last in time and space will be:

–     ∆E:  Systems feed on energy for their bodies/fields.

–     ∆I:   They absorb information for their heads/particles.

–      Exi:  They act combining both, often to reproduce the entity in other zone of space and time to survive after death. While some systems become reproduced by an external catalyzer, enzyme or ‘enzyman: human enzyme’ – machines).

–     ∑ e x I=Ii+1. They evolve socially in more complex networks that survive longer in time and space.

The 4 arrows are ‘necessary’ for any complementary system of energy and information to exist. As any system will die if it doesn’t replenish its energy and information, or reproduce before death.

V. CAUSALITY OF TIME ACTIONS: THE LIFE-DEATH CYCLE.  

We can connect the 4 arrows/actions of time as a causal sequence: beings perceive and search for information to feed, and when they feed enough they reproduce, and when they reproduce a lot, they organize in social groups: E->I -> exi (Reproduction) ∑ exi.

These beats of existence are the key to explain the evolutionary patterns of all systems, from the creation of the Universe as a whole, to the creation of life, to the science of morphogenesis and evol>devol to history and economics and the creation of its super-organisms. Of all those temporal sequences the most important is the life/death cycle:

In the graph, the 4 arrows of space-time have in most species a clear order in time:

– +1: Birth: We are born as a seed of information that:

-Max. Energy: The being goes through an energetic youth of fast motions, in which the energetic limbs and external sensorial membrane dominates.

-E=I: Balances energy and information in a mature, reproductive age, in which the internal, topological, reproductive system dominates.

– Max. Information: Till it warps all its energy into form, in the 3rd age in which the central, hyperbolic, informative brain/particle singularity is dominant. This age ends in:

– -1: Death: Exploding back into energy, erasing its information in the process of death.

The long arrow from energy to information of ‘life’ E->I and its local short reversal from information to energy or ‘death’, I->E, becomes the cycle of existence and extinction of all complex systems of reality, from humans to matter (energy=gas state, liquid= reproductive state, solid=informative state), to the Universe itself from the big bang to the steady state to the Gödel’s vortex, described by the 3 solutions to Einstein equations, which must be ordered in time. In the next graph, we see some examples:

In the graph, most systems follow the ternary principle and have an energetic, informative & reproductive system. Such ternary systems follow the 3 symmetries of the complex Universe: the 3 ages in time of the system, dominated each one by a network (the energetic youth, reproductive maturity and informative, 3rd age), the 3 topologies in space that define those networks (hyperbolic, informative center; planar or spherical, energetic limbs and membranes and toroid, cyclical, reproductive organs); and co-exist 3 scales of existence – the cellular, organic and social scale, in which the organism becomes a unit of the next scale of reality. So the study of systems through its dualities and its 3 symmetries of spatial form, temporal ages and scalar size, is the essence of the ternary method that we shall follow in this work to classify all physical species and study its evolution.

Those ternary ages and topologies are the foundations of a theory of multiple spaces and times, extended through several scales of reality, whose origin can be traced to the work of Leibniz on relational, multiple time cycles and vital spaces, but now truly acquire thanks to systems sciences all its solving power. Since we classify all space forms and time events in 3 topologies/ages that put together in social networks, create new (i+1) organic systems.

Thus the duality of energy and information and the ternary method is the key system used to resolve and reorganize the elements of physics, from the 3 ages of creation of matter (energetic gas, reproductive liquid and informative solid) to the study of particles and its social forms (the 3 families of increasing mass-information, the duality proton/neutron, quark/electron, strong/weak forces, gravitational/ electromagnetic membrane; the 3 ages of the Universe equivalent to the 3 solutions to Einstein’s equations – which are phases of evolution in time of the Universe that goes from a big-bang age, through a steady state into a Godelian vortex.

Topologic evolution: 3 ages of species.

Perhaps one of the strongest proofs of the invariance of time frequencies of actions and its causal orders and ages is the ‘emergence’ of the fundamental ‘pattern’ of frequencies – the life/death cycle – in the next scale of life, the scale of evolution. Since evolution repeats the patterns of the life-death cycle and its 3 ages at the longer scale of species, where ‘cells become individuals’: information (seed)->Energy(youth)->Reproduction (Exi)->Information (3rd age)->Big-bang of energy (death)

The process of evolution of species is equivalent to the 3±st ages of individuals with a twist: death is not the only ‘solution’ to the cycle, but the duality of ∂-disintegration or ∫-integration of a social group (in the case of life a cellular group), which defines the life/death cycle gives two choices to some ‘top predator’ informative species: After its 3 horizons or evolutionary ages the species might become extinct or transcend into a super-organism.

 In all space-time scales species follow a future arrow towards more information, which increases in 3 horizons and finally evolves individuals into societies, herds and macro-organisms, related by a common language/network of information.

In the graph, the seminal, 1st species packs a lot of information in minimal space: It is the Worm Hole, the chip, the 1st bilateral animal2, the 1st mammal, the horse and the 1st Homo Sapiens, which seem to have evolved from a dwarf ancestor, which first discovered technology and had a dwarf brain, albeit with an evolved morphology similar to that of the Homo Sapiens: the Homo Floresiensis3.

Then the new ‘highly informative’ top predator follows in its evolution a plan of dimensional evolution that transforms species with a high content of energy into species with a high content of information through 3±st horizons, self-similar to the ages of an individual organism. Since species are, in fact, macro-organisms in which each cell is an individual of the species.

-First in its ‘energetic youth’, the species grows in size as horses, humans, bilateral animals or black holes do.

-Then the species suffers a reproductive radiation colonizing new ecosystems.

-Next the species suffers a speciation, according the ternary principle into 3 subspecies, one dominant in energy, another in information and a 3rd one balanced in both parameters.

– Finally, a new top predator extinguishes the species or the informative one evolves into social organisms of different complexity, stronger than the individual and survives.

Further on, evolution, as the analysis of the complex plan of ‘speciation’ shows, has two paths: social evolution of ‘external’ energetic bodies (the herd-state, of lesser efficiency and higher spatial extension) and social evolution of ‘internal’ informative organs.

In cells, this give birth to the two main arrows of cellular evolution: muscles, single cytoplasmic cells with multiple nuclei; and neurons single, dense nuclei with multiple cytoplasmic branches (dendrites).

In Physical systems to ‘quark condensates’ (neutron and black hole stars) vs. molecular, external fusion.

Finally in the evolution of species, we have also the causal rhythms between the dominance of each arrow, similar to the ‘ages’ of life, as a species is the life of a ‘cellular’ parental father, reproduced into multiple individuals that will become extinguished, often substituted by a son-species (Oedipus paradox). And the rhythm parallel to that of climatic change is simple:

Small informative seed (first small species-fetus)-> Energy feeding (growth) -> The young age of the species/individual shows a growth in size -> Reproductive/radiating age-> follows by a reproductive expansion of the species as a new ‘top predator’, while the individual gives birth to an offspring-> Informative age/diversification of the species -> extinction/death & survival of the son species.

This simple scheme applies to the analysis of the ‘frozen horizons’ of the big-bang and the particles created; to the evolution of species, which appear in the fossil record small in size (1st bilateral vernanimacula, 1st modern mammal (shrewd), 1st horse, 1st human with technological/speech skills (Homo floresiensis?), first ‘self-reproductive machine’ (chipped nano-bacteria?)…

Recap. The simple, morphological plan of evolution that each fractal species of the Universe repeats is caused by the fact that there are only 2±1 forms in the Universe, lineal energy and cyclical information and i=ts reproductive, body combination. So only 3 new types of species can be created, one with more energy, one with more information and one that reproduces both.

  Max. Energy=past x Information-future = Present-reproduction..

Time dimensions have a much deeper meaning that its mere flow. Conceptually they relate to ‘energy’ (past), information (future) and repetition or reproduction. The concept is obvious: Energy has no form and so it must appear ‘before’ information, form-in-action, appears. Further on, present in a dynamic universe is the perception of a self-repetitive action or knot of actions. Thus reproduction, the creation of present is the fundamental way of inventing the future, making time a dynamic process. In the graph, reproductive waves of present-existences in all the scales of reality. The future is thus webbed with a biological program of constant reproduction, fight between species and final selection. And this translates to the jargon of all sciences, through concepts such as ‘unstable particles’, or ‘extinct mutations’… The Universe thus invent ‘many futures’ by fractal reproduction of information, forms, which then are selected into a single path of future. Biology is thus a key element for understanding the sixth dimension. And this can be resumed in a basic equation: Past (energy) imprinted x Future Information = present beings, of which certain ones (Max. E x I) will be selected…

Let us now consider a more complex application of those previous laws of all systems: the meaning of past, present and future, which is a consequence of the causal order between those arrows:

Perception->Energetic feeding->Reproduction->Linguistic, social evolution.

In turn that order defines in a longer time-span/scale of existence the causal order of a life/death cycle:

Informative seed->Youth->Reproductive maturity->Informative 3rd age and death…

That order defines in a longer time-span, the ages of a species, which is born as a small, more evolved form that -> Grows in size -> Radiates and expands as a new predator -> Diversifies informatively in multiple species -> evolves socially in a complex superorganism (ant hills, human societies) or become extinguished by new, more evolved, often ‘son’ species (Oedipus paradox.)

When we combine those ;aws we can define the 3 dimensions of time, the relative informative future as systems become warped and evolve in its 3rd, informative age; the relative past of formless energy, and youth, and the relative present of iteration-reproduction that seems never to change. And we shall see that this is indeed what all systems do in higher measure.

Thus once more we see that not only absolute time is an integrative concept of many time cycles, but the concepts of past, present and future are also relative perceptions in a Universe in which the sum of all life, informative arrows masterminded by these Points of View, and energetic, devolving, simplifying past arrows of entropic motions become a relative present, eternal reality of multiple systems that reproduce iterations of themselves.  And latter we shall see they do so through ‘fractal self-generating, feed-back equations of information’ of which the synoptic one that resumes all of them is E<=>I.

Reproductive, Fractal differentiation. Evolutionary processes. Basic Laws.

Finally, another key element of all systems is the restrictions and favored paths of reproduction and mutation or evolution of form. Because there are only 3 functional forms in a 4-dimensional universe (with 3 dimensions of form or space and one complex dimension of motion or time), morphological evolution is not random in choice but guided by the limits of 3 basic topologies, which will be expressed by morphological mutation: either an energetic membrane, toroid body-organ or warped, linguistic mind will evolve positively or negatively in their parameters, which is often achieved changing the ‘speed’ of time of the process(so for example in human apes the brain bones grow faster than the chin, which grows faster in gorillas, and this change in an essential time parameter determines a functional change in form).

Thus while the variations might seem endless, in fact evolution is restricted by the limits of parameters of form and function, spatial changes in 3 dimensions and temporal parameters – the main tool for establishing those differentiations of a species into either + or – informative, reproductive or energetic growth and evolution.

A ternary process of ‘fractal differentiation’ is the key to understand the ‘speed’ and accuracy of evolutionary development:  As a system evolves the 3 ‘diffeomorphic=local’ coordinates of the system – the top (information) – bottom axis, the back-front axis of motion, and the wide axis of structural form and reproductive storage, which are perpendicular to each other, are conserved.

The ‘emergence’ of the properties of previous scales defines this way the elements of the next scale.

They become in the electronic scale the ‘right hand rule’ between electric and magnetic fields; in carbohydrates, the key to understand the 3-dimensional warping of DNA and proteins according to the different positions of its C-formal, O-energetic and N-informative parts. It will be then the ‘3 first genetic’ morphologies imprinted in the cells, with the ‘animal’ pole on top, from where the informative neuronal plate will develop. Then the fetus will define the anteroposterior axis of energetic motion and finally the wide-bilateral, reproductive axis of accumulation of cells.

Ternary principle in space and time:

Finally a fundamental symmetry that we shall consider latter in more detail is that between the 3 forms, of space and the 3 dimensions of time, past-youth, present-maturity and informative, 3rd age, as those topologies and its functions dominate in each age of time of the life/death cycle of the being, which goes from the causal, first element, the energetic, external sphere into the 3rd causal element, the center of information that dominates the 3rd age.

The actions of beings have a temporal order. Ternary ages and life/death cycles.

The dominant action any being performs is reproduction, exi=k. It is the ‘leit motiv’ of reality that happens when e=I. And so the ‘function of existence’, ∑ e x I, is maximized.

Reproduction and combination in a point of balance of e and I, that produces a quantum wave of self-similar seeds in a lower plane of existence, i-1 happens in all scale and systems in the same manner.

Reproduction follows the same causal processes in any scale: two self-similar species with ‘opposite’ energy-information coordinates (the definition of ‘gender’), in the case of particles, with opposite spin, produce a ‘seminal/cellular sub-particle’, gluons in quarks as in the previous image or photons in electrons. And when the two sub-particles merge their form and energy, they reproduce a ‘shower’ of new electrons or quarks. Thus the process is the same than in human beings and we can generalize the process for any system of any scale of the universe, with the notation of general systems as:

Reproductive action (any scale): exI (female) <=> Exi (male): exIi-1  x Exii-1 = ∑ e x i.

So quarks reproduce other quarks colliding gluons as the previous graph shows and electrons colliding photons of higher energy, and the black holes of central galaxies emit jets of dense matter and cells, molecules of DNA.

In that sense, as the increasingly detailed analysis of gluons and electromagnetic flows show, we can talk of those ‘flows’ as micro-networks, similar to the nervous, endocrine and blood systems in our more complex super-organisms. And so the strong and electromagnetic forces do act in several scales, as it happens with the blood system that carries not only energy but also hormones – information… Within the structure of the atom we could consider the existence also of 3 physiological networks that correspond to the inner energetic system (electromagnetism), informative system and reproductive systems. And a fourth external ‘force’ that corresponds to the light we perceive but do NOT circulate inside us (the gravitational force).

Actions are processes with an increasing duration in time such as:

Informative action < Energetic action < Reproductive action < Social action.

And vice versa, given the opposition of properties between time and space, their range diminishes. This is the law of diminishing range of the forces that mediate those actions.


 


IV. INVARIANCE OF TOPOLOGICAL FORMS

Totally disregarded by modern science and yet by far the most important invariance of the Universe, is the invariance of topological form, represented in the previous graph. All are complementary systems made with 3 ‘topological functions’: Limbs, heads and bodies.

Since any 4-Dimensional Universe has 3 canonical topologies, which correspond to the 3 organs of all systems:

 Max. I: Head/Particle/Informative caste: They display the hyperbolic topology of information, observed in most ‘heads’ as an excess of warping and form (cortex, black holes, Chromosomes, Chip design).

Max. E: Moving Limbs/Forces/Energy class: They show a relative plane, or concave topology; such as the one observed in an external membrane, often the cover of a sphere of a bilateral form.

E=I: Reproductive Body/Atom/Working class: The topology of the reproductive system is a combination of the other two, performing cycles that communicate the energetic membrane and informative center.

Observe in the bottom of the graph samples of the 3 form-assembly in different systems of the Universe. Man also is a complex system with 3 interconnected zero points, around cellular toruses, with external and internal membranes of exchange of energy and information with the external universe, and apertures called senses… So we shall first explain the general form of all zero points, spherical membranes and torus and then analyze in specifically the human one.

In the graph, concave, energetic; toroid, reproductive; and convex, informative topologies are the 3 forms found in all complex systems of the 4-Dimensional Universe. Since topology proves that in a 4 dimensional Universe, there are only those 3 topologies: hyperbolic, informative topologies, energetic planes, and reproductive disks. All structures of the Universe are composed of only those 3 topologies. This astounding simplification is the result of 2500 years of mathematical evolution since Pythagoras discovered the laws that rule the bidimensional topology of those 3 forms, the concave-planar sphere (or cycle in a 2 dimensional world), the toroid body with its regular cycles that transfer energy and information between the external surface of the sphere and its center; which is the informative, hyperbolic region or zero point, the ‘eyes’ that perceive in stillness a pixelled map of the Universe brought about by the flows of energy and information of the Torus.

After 2500 years since Pythagoras discovered the circle as the most perfect form, geometry have come to the conclusion there are only 3 forms in the Universe: The sphere, the torus and the zero point.

With those 3 forms you can build all the other forms of reality. All is reduced to those 3. So what they mean? What is their function? And how they combine in the puzzles we call reality? Those are the first questions we shall answer.

They correspond to the functions and morphologies of the 3 sub-systems of stable entities – heads, limbs and bodies:

Beings are not pure motions; neither they are only made of information.

Lao understood it when he said: all yin has a drop of yang (energy), all yang has a drop of yin (information). Hemingway understood, when he said to Dietrich: “Never confuse movement with action”. Indeed, energy ‘or lineal motion’ is not an action ‘per se’. It needs form, in/form/ation, which directs energy to create an action able to change reality. All actions require some energy and some information to create an event. And all systems require an information center and an energy center to create an entity.

Thus, all what you see will be a combination of at least two of the ternary topologies of a 4-Dimensional Universe – a particle/head and a field of energy/limb. And the more complex systems will also have a reproductive, toroid body.

And so we write a general equation to define those 3 forms: ∑E <=> ∑I, where < = > represents the toroid body that exchanges energy and information between limbs and heads, fields and particles.

In those complementary systems, the information center gauges reality (cyclical particles and heads of physical and biological entities) and the lineal fields of forces and limbs move them.

This leads to a third system that combines both, energy and form, the reproductive system, exi or elliptic/toroid body.

Yet since form is function, in yet another duality of the Galilean Paradox, bodies are conical, elliptic combinations of lines and forms.

Thus Three Geometric Forms in space determines 3 functions in time: cyclical clocks of information, Energetic, lineal or planar limbs of space, and its combination, ‘complementary systems’. And so Geometry and topology are fundamental sciences that apply to all ‘scales of reality’ and all its entities.

The Interaction between limbs and membranes of energy, informative zero points and cyclic, toroid bodies.

In the previous graphs we can observe some of the interactions between the zero-points (minds), spherical membranes (energetic skin) and toroid cycles that structure the ‘physiological or inner forces’ of all physical systems or organisms.

In topology we consider a form to be the same one, if it is only deformed but not torn. Thus a sphere is in fact any membrane, or skin that closes an inner space inside. This inner space is called the ‘ball’, and the ball does not include the external membrane, neither the hyperbolic center, or zero point. The 3 together form the ternary structure of most systems, with an external barrier communicated with a torus of cyclical flows of energy and information with an informative, hyperbolic center or north south axis.

What matters about those morphological, ternary systems is not so much the specific form but the functions derived of the common properties of each of those 3 universal topologies, which are not rigid, solid substances but deformable networks of points bonded by flows/lines of energy and information. Its dynamism means as distances and flows between points of the network shorten or lengthen the whole form changes but if the cellular network does not break the form remains one of those 3 topologies:

– The membrane is a network of planar, self-similar cells, which expand and enclose the inner organism from the outside. It allows the transfer of energy and information with the external world through the holes of the network; developing specific functional holes: those for energy are called mouths, those for information are called senses. They will be also positive or negative in its directional motion in order to absorb or expel wasted energy and information. All systems will have at least those 2 types of wholes in their strong, energetic, spatially extended membrane that circles the ‘vital space or body territory’ of the entity.

In complex analysis, the external membrane can be multiple: the most extended, less loosely guarded one is the territorial zone in which the informative center moves. In the organic Universe, spatial structures are always ‘functional’ and made of loose networks with motion, which therefore have, as any network does, dark spaces in the holes between them.

Thus the 3 topologies exist to perform informative, reproductive and energetic ‘functions’, which rule the morphology that adapts itself to preserve the function or ‘action’ they perform.

A key property of all membranes according to their function is the equality of all its cellular units, which have similar functions and are exchangeable, submitted in physical systems to the Bose-Einstein statistics, since they are invariant to rotation and substitution in space.

– The still center or hyperbolic north-south axis, or zero point is the point that processes information and hence also the point of consciousness of any system, of any world, of any topology of 4 dimensions, of anything that exists, of anything that is.

To create a mental image, the pixels of the zero point are able to form a boson, synthesis of all its units. In the same manner, a sphere can create in the center of its inner space-time a reflection mirror of all its cells – a zero point of the whole self.

According to the opposite nature of energy and information, the zero point is far smaller than the membrane, but its cycles and processes are much faster.

Look around yourself and you will not see any zero point. That is the beauty of it. All ‘brains’ are internal. They are all guarded they are all secretive, they are all connected, communicated, but at the same time isolated, ego-centers of all the complementary systems of the Universe:

The zero point function is kept in bilateral and planar forms but their position changes from the center to the head, on which the informative cells reside, on the relative dimension of information (height, which allows perception of a wider angle): politicians, kings, priests or markets rule a society from a top position that receive and distribute information.

– The torus. In a film that now has a lot of followers, ‘thrive’, a Californian guru explains that the torus is the most repeated topology of the Universe. He is right, but it is only one of the 3 topologies of any 4-dimensional universe.

The simplest torus is a cycle: we can build a torus departing from a cycle, pi, made with 3 units and 3 apertures, of 0.05D between the 1 D-units of the membrane. The cycle then will reproduce a self-similar inner cycle, an internal ring. Then both will form a dual system, in which the inner cycle becomes the zero point that will integrate the flows information that cross through the external disk through those 3 apertures. Thus a dual energy-information circle is formed.

The natural direction of flows of energy and information is from the outer spherical cells into the internal cycle-space: The zero point then observes a reduced mirror image, of the universe, transported through informative channels that interconnect the membrane and the knot of information or zero point in the interior.

The flows between both then rise the dual cycle, creating a curved dimension of height, forming a toroid.

If we extrapolate this fact to all systems, energy becomes the first causal action that gives birth through a cyclical warping to an informative, final form.  Or as Einstein put it: time curves space into mass (a zero point of the gravitational scale).

Alternately such a system can grow and the toroid between the membrane and zero point will finally expand in a big-bang, giving birth to a bigger form.

In this manner a dual system is re=produced; one with a more complex, vital center, and en external, more expansive membrane that protects it. For example in beta decays, a nucleon becomes a bigger, more dynamic atom, with an external membrane, the electron and an internal zero point, the quark/nuclei. Cells in mitosis also reproduce by growing their toroid body and duplicating their zero point – the DNA center of information. Then the cell breaks in two.

We can see that simple assembly in the graph, the eye-zero point system is the hemisphere (right side), in which the flows of the torus converge, coming from an external ‘Riemann sphere’, or membrane, joined with the zero point by a series of flows that reduce energy into denser form.

In the point in which that speed is reduced to zero, a zero point appears, in which a pixel mirror of the external sphere, corrugated into a linguistic image gives consciousness to the system. Then something magical occurs, the zero point processes that energy into information that forms and provokes a change in the position of the entire system. Since the zero point is the will of the system. The membrane develop the limbs of the system. The zero point is the brain and consciousness and the torus the physiological systems or flows of energy and information between both.

Causality determines the flow of growth: the external membrane gives birth to the zero point – it is the father element.  Fact this which brings the theme of evolutionary development in time of a ternary structure in space.

Evolutionary development

It all starts with the creation of a hollow sphere of self-similar cells assembled in a herd, in which each point is only communicated with the lateral neighbors, absorbing energy from the external Universe thanks to its ‘energetic’, hard structures. This herd of cells multiplies and lets a part of it to flow internally into the torus.

This stage is the blastula in a biological organism; in an electromagnetic field created between two smaller sphere-points is the moment in which the electromagnetic field between two poles is established.

If we consider the growth of such a sphere, we can observe, as in a ‘morula’ or in physical particles and celestial bodies, how the growth invaginated inwards transforming therefore the sphere into the torus.

A zero point in a fetus is born first as a morula, a perfect sphere. The sphere of energy is therefore the first thing to be created. It is always like that. A single planar form appears. It start to multiply and without disconnecting itself, it first creates 3 then 5 and each five starts to ‘copulate’ with its neighbor cell and create 2 more on the next level and so on. Different patterns now start to differentiate a game of evolution, which will become more complex in each scale.

The first topology, the democratic sphere, which absorbs energy from an external universe, is hollow. This sphere is made of individual points that have a recognizable arrow from outside energy to inside information. They will have a gradient of density, as the inside face of the cell is denser and shorter than the outside one, in a ratio depending on the depth and volume of each cell. It follows also that cells will start to be come self-mirrors of other cells as they see them through the internal sphere. And finally at a certain point this sphere will become invaginated in a polar directions as ‘cells’ fall in internal growth from the bottom and top, hanging and building a pole North, South direction.

Most systems are born as energetic hollow spheres that grow inwards creating a digestive tube and establishing a flow in the inner vacuum space of the sphere that soon becomes a dual convective flow in cyclical motion that transfers towards the central of the new torus an image of the external world. There, the internal cells become the inner radius/zero point of a growing torus. An eye within an eye: the membrane now is reflected by the axis that form in the center a growing seed, a brain, a DNA nucleus. All bits of information reflect an external Universe, imitated and mapped in the lesser space of the zero point, which is warping and extracting information and deflecting energy to perceive with those maps what the external sensorial cells are scanning.

So from a seed with an external membrane and a middle body to feed on, to a celestial body or atom with a hard crust or electronic cover, a series of rotational toroid cycles of electromagnetic energy and information or plasma flows and a central point of maximal density, we see repeated the 3 topological construction of a functional limbs-body-brain, skin-organs-informative center, structure.

This ‘primordial’ ternary system in space is coupled in time by a dynamic transformationas we observe the software flows of energy and information the system carries in time through its ternary structure: first energy will be absorbed by the negantropy of the membrane, which will let the flows enter the torus, where they will be processed and grow in information, becoming either material for the reproduction of the ‘cellular’ units of the body-torus, or pixels transferred to the zero point in the center but ‘outside’ the inner circumference of the torus. The external skin or membrane transfers energy to -> A Central zero point of information->through an intermediate body-torus.

The still map of the zero point perceives in itself.

The general evolution of those flows is Max. Energy -> Maximal information till reaching stillness when they come all in ‘parallel’ as a puzzle that for an instant of time – the perceptive, relative internal clock of the system – will appear as an image that perceives in itself. This central point of stillness is the consciousness of the point. And we consider that consciousness is precisely defined as that ‘image’ constantly changing in minor pixels as the flow of energy is finally distilled into information.

A simple transformation happens between an external sphere that converges into that zero point.

The point of view or zero point that creates a ‘mind’, a fleeting stillness in the flows of energy that converge on it, is the knot that shows the will or at least calculates, integrates the flows of energy and information creating solutions to the synchronicity of flows and opportunities tending to follow the mandate of existence. The zero points seem to have the will to accomplish the mathematical solutions for forces and masses to follow the principle of minimal action. The zero point commits little errors; it is intelligent; it seems to have embedded the program. How the program evolves, invaginating first a sphere that reproduces and becomes a torus with a first ‘feeding axis’, which finds the central cells, more sensitive, soon evolving into more complex informative networks, how those networks invaginate the body and communicate the inner and outer sides of the hemisphere and sphere (convex and concave topologies), etc. can be explained with the science of topology.

The human being as a topology of fractal space-time

In a human, the zero point is the brain, the membrane is the external sensorial and skin system, and in between the cycles of motion that transmit both consciousness and make us live. But we see of us only the external and the internal consciousness, zero point and membrane, while curiously enough the universe sees or perceives the changes produced by the flows of the torus, the precise functions more than the visual observation of those systems is what will guide us in our understanding of reality.

But what Geometric system of the many geometries of mathematics, define better those 3 elements? A Geometry, which has not been fully developed till the work of this author: Non-Euclidean, Fractal Geometry, which we shall study in the next paragraph, after we introduce from a topological point of view the 3 internal ‘forms’ of the unit of the 5th dimension, the fractal point.

 

Diffeomorphic Dimensions. Each entity is a relative Universe.

 There is a correspondence between the inner physiological networks that perform EXI actions and the relative dimensions of the being.

Forms respond always to functions/actions in time, the commanding dimension of reality, to which the forms diffeomorphically adapt to obtain the maximal energy and information and accomplish their actions. Hence only the topological properties of the form, intimately related to its functions are conserved. So once a ternary topological form is created, it will adapt and evolve those topologies, deforming their external membrane, creating complex warped, fractal, branched internal physiological networks that act as fixed paths of energy and information, diversifying its organs and yet at the end of the road, the same topologies, albeit sometimes difficult to recognize will form a ternary being, which will deploy the same 4 actions of existence with those topologies and internal networks/forces.

Absolute relativity accepts the principle of diffeomorphic, local measures. Since each species is a ‘universe in itself’, with different relative, energetic and informative arrows that determine its ‘whole’ morphology. Thus, each species establishes its own up and down arrows or relative energy and informative directions. In the graph, animals use light as information and plants, use light as energy. So both have opposite energy-time coordinates. Yet both have an ‘anteroposterior’, lineal’ ‘outward’ energy oriented structure. Galaxies and other forms of the previous graph have a cyclical, informative, inward structure, where the stars body absorbs energy from intergalactic space, reproduces matter with it and feeds the internal informative knot of gravitation, the black hole.

Form is the first mathematical invariance, which is dynamized by physical motion. And both together determine the allowed actions of the universe. Those actions have a causal order given by the time-frequency invariance. And finally all of them together give birth to the social evolution of parts into wholes, creating the fractal Universe with its ‘5th dimension’ of scalar, social evolution. We shall not though do a rigorous, formal and causal analysis of them but try to explain them in a way easier to understand, starting from the concept of an action of energy and time, the two parameters from where all the elements of the Universe depart

RECAP. The 4-dimensional Universe is a game of 3 topologies of space, which correspond to 3 functions in time, the energetic, spatial, concave, spherical or planar membrane; the reproductive, cyclical, toroid body; and the hyperbolic, warped, informative, still center of perception.

This limited structure produces infinite self-similar forms in which a central zero point absorbs energy that transforms in still perception, a toroid body reproduces self-similar cycles and forms and limbs and membranes move the whole system, in search of its action of existence…

 V. FORMALISM OF THE 5th DIMENSION: NON-EUCLIDEAN GEOMETRY

 

  

 


In the graph, the 5 postulates of Non-Euclidean geometry define a point with parts, a line as a wave and a plane as an organic network of points: The 2nd postulate explains the interaction between two points connected by a wave of communication or ‘line’; the 3rd postulate explains the type of interactions between 2 points according to their relative equality, which will bring them together into a social network or dissimilarity, which will make them not interact or enter into a Darwinian relationship in which a point absorbs the energy of the other. Self-similarity is required to start an organic process of eusocial evolution; or else systems that do not understand their information use each other as energy, in Darwinian hunting processes or ignore their paths. The 4th postulate defines the creation of networks made of systems of points across multiple scales of space-time. It defines spaces as networks of points, interconnected by flows of energy and information: All in the Universe are thus complementary systems made of networks of non-Euclidean points. Finally the 5th postulate that explains the processes of absorption of waves of energy and information that the point gauges to act-react with the Universe.

The new 5 postulates of a Non-Euclidean, fractal geometry of Multiple Spaces and Times are:

1st Postulate: ‘A fractal point is a world with an inner content of information that creates its 3 internal, topologic, organic dimensions and a content of energy that traces its external motions=time arrows’

2nd Postulate: ‘A line is a wave of fractal points.’

3rd Postulate: ‘2 fractal points are self-similar when their external, spatial perimeter or their inner information is equal. Similar points form organic networks by sharing their energy and information. Dissimilar points ab=use each other in Darwinian relationships’

4th Postulate: ‘A plane is a network that joins points through waves of energy and information.’

5th Postulate: ‘Non-Euclidean points perceive energy and information: A fractal point has inner apertures to the world, through which multiple waves of energy and information can cross.’

The first postulate defines a point with form and energy. Points are not ‘points with no breath’ (Euclid), an abstract definition that created the simplified concept of a space-time continuum but ‘fractal points’, which grow in size when we come closer to them. And so stars are points in the sky that become huge as we come closer to them. And a microscope discovers an entire world in the minimal size of a cell. Einstein offered a partial solution to this conundrum considering that from our scale of size, those Non-E points seem to curve the information of the universe that fluxed on it. But Leibniz had given a better answer: ‘the smallest point is a world in itself’. This is the meaning of a fractal point, whose internal parts respond to the 3 topologies of a 4-dimensional Universe: a hyperbolic, informative system; an energetic, planar or spherical membrane and a cyclical, toroid region with reproductive organs. And we shall find those 3 topological regions in all points-species of the Universe.

Non-Euclidean points are the souls, Atmans, Monads of the Game of Existence, the knots with a living will, which they display in their action, exi. Leibniz failed to realize they would communicate. Buddhist with the concept of Atmans are closer: knots of relationships with other i-points. Such multiple, perceptive Universe merely extends the nature of being human, a self-perceptive point always feeding, perceiving, reproducing and socializing, which is also what life does, to all the entities of the Universe. All is life. All shows the will of life. All keeps reproducing self-similar points of view, points of order. A point is any entity of the Universe. In a more detailed analysis those parts turn out to be self-similar in geometrical terms in all of them, defined by the three canonical topologies of a four-dimensional Universe, which describe an informative, hyperbolic region or ‘head’, a toroid, ‘reproductive body’ and lineal or planar energetic limbs and membranes, common to all the points of the Universe. Thus, we define time cycles, forms with motion, its multiple knots of time cycles and networks with a new geometry of space-time, Non-Euclidean geometry, born of the completion of the work of Einstein in physics and Riemann, Lobachevski in the field of mathematics. Since now all points have form and motion, they have breath; and since now all lines have form and motion they are waves; and since now all planes are networks, they are discontinuous planes. Thus, the new formalism of space-time redefines also the geometry of the Universe in dynamic, discontinuous terms:

Networks are made of relative points with form and motion, which can be defined as time cycles – trajectories traced by an entity in search of energy, information, reproduction or social interaction. Those time cycles enclose a surface of vital space or energy and so they define a certain space-time. Any entity will however trace many cycles in search of its organic motions to feed, gauge, reproduce and evolve socially into bigger networks. So each entity will be a knot of multiple time cycles.

Those knots of time cycles become fractal Non-Euclidean points. The basic unit of the new paradigm is thus mathematical – the point – but a very special point, a fractal point which grows in detail and information the closer we come to it, till it becomes, as Leibniz put it, a world in itself with internal complementary networks=organs of energy and information (fields and particles in physics; limbs, body and head in biology).

In the formalism of Systems sciences we call them Non-Euclidean points, since they are points through which infinite flows of energy (parallels) and information can cross. We also represent them with the symbol ‘i’, which is the next vowel to the A-ristotelian, E-uclidean paradigm, the symbol of information and a visual image of the 2 components of the point, the informative, cyclical part, o, and the lineal, energetic one, |, which we call the body and head of a biological Point; or the field and particle of a physical point (Principle of Complementarity).

The universe is made of networks of such i-points, and each network is what we call a world or discontinuous space-time, st, unit of a bigger fractal network, a new st-point in itself. So a network of particles becomes an atom, which becomes an st-point of a molecule and so on till creating the Universe.

Even humans can be studied as Non-E points, in which each head is indeed a spherical point that communicates energy and information with other humans, forming social networks.

The anthropomorphic reader might think that humans are different from the rest of points of the Universe, but it is a fact that all points obey in their actions and communicative flows within a network the same laws: humans and electrons behave the same when they move through slits or in herds; the geometries of social groups are also the same; and the ultimate purpose of those points, to feed on energy and information, whatever kind, is also the same in all networks of the Universe. Thus the laws of networks become the social, organic, reproductive why of all beings of the Universe: the Universe reproduces information and organize forms socially into networks. From magnetic and electric fields, made of magnetic and electric constants that mix and reproduce a light wave to fundamental particles, quarks and electrons that absorb energy and reproduce new quarks and electrons, to energetic males and informative females that reproduce together, all in the Universe can be described with the formalism of networks, connects the why with how and when of the 3rd paradigm of metric measure that has analyzed those networks, its motions and forms in detail. Why those i-points with an ego-driven will that desires selfishly more energy and information and self-reproduction collaborate in herds, becoming parts of a whole has to do with the complexity by which the arrow of social evolution impose systems to its parts. Parts become enslaved by their dependency to the higher energy and information provided by networks.

The non-Euclidean, fractal point as a perceptive point.

 

 

All systems have a central or upper knot – a zero point – that processes information and perceives a ‘still’, pixeled map of reality constructed as a reflection of the external universe – a mind.

In the graph, in the old paradigm of single space-time, there is only a point of view, the anthropomorphic point of view, and a language and frame of reference, the Cartesian frame. In the new paradigm, each knot of cycles of energy and information creates its own frame of reference and coordinates, ‘literally’ as it evolves its organism along an up (information) down (energy) axis, an anteroposterior axis, (direction of motion as it performs its ‘cyclical actions’), and a width axis of reproduction and cellular storage. Further on, besides its 3 relative, ‘diffeomorphic’ coordinates, each organic system will have a perception based in a language, which might not be the language of man, as each species codes and maps reality with bits of a different type of wave. All this can be formalized and mathematized with a new mathematical model, based in the new discoveries of fractal non-Euclidean geometry, developed by the author that complete the work of Riemann on the subject.

Because a Cartesian graph (left) is an abstract continuum of lineal time, based in the single rhythm of a mechanical clock and a continuous space of points with no ‘breath’ (Euclidean definition of a point), ever since it became the canonical representation of space-time science has believed in a single, absolute time and a single absolute space, with a single point of view, that of the human mind in the origin of coordinates. Yet the Cartesian plane only represents the continuous space-time of ‘the membrane of light’ it represents with its 3 perpendicular coordinates, equivalent to the height=electric field, width=magnetic field and length=wave speed of light. Since light is the space we see and so its 3 coordinates are self-similar to those of the Cartesian, human mind made with light.

The real Universe has ∞points of view that gauge information in ∞scales of space-time. Those points of view by definition have volume to fit ∞ parallels – flows of energy and information that go through them. Each of those parallels is in fact a cyclical, curved trajectory (Einstein’s definition of a parallel); and so we can consider each Non-Euclidean point of view a knot of time cycles with form and motion.

Points with parts are knots of time cycles that gather into networks. The most important point of any network is the point which communicates all other points and networks, taking the key decision of any super-organism: which action performs at each moment. That point, is therefore the point that possesses the will of the whole organism.

All what you see are knots of ‘living cycles’ that represent the actions of a ‘Point of view’, which traces those cycles as forms with motion, forms-in-action, in-form-ations. We call all those knots of forms with motion Non-Euclidean points, (mathematical jargon), Space-time cycles (physical jargon) or complementary networks (biological jargon) the new units of the physical, mathematical and biological formalism of Systems sciences. They define a new mathematical and logical language that advances the previous A-ristotelian and E-uclidean logic to better map out the Universe, called i-logic geometry (as i represents information and comes after A and E). An i- point or space-time cycle (1st postulate of i-geometry) has form and motion. Any entity of the Universe is an i-point, as all of them have form and motion. 2 i-points will form a wave (2nd postulate) that communicates energy=motion and form=information between them. Thus all lines are in fact waves with motion. Self-similar points then will form a network by exchanging energy and information along certain paths. Thus all planes are networks (4th postulate). And each of those points crossed by flows of energy and information that shape its internal form (5th postulate) will be able to move and gauge the information of the external Universe, becoming a ‘relative mind’, a perceptive element of an intelligent Universe made of the sum of infinite such points. Finally the 3rd postulate of i-logic geometry will define according to the self-similarity between those points the type of networks they create when they socialize with other points. And so the application of those 5 postulates and its laws to any system of self-similar beings, from atoms to humans to galaxies, give us the whys of reality, which is game of points that socialize into bigger wholes, points of a new scale: particles become points of atoms that become points of molecules, cells, organisms and societies in the biological realm, or parts of celestial bodies, galaxies and Universes in the physical world. In the past science has focused mostly on the study of motion and energy and its measure with mechanical instruments. The 4th paradigm of science reveals the why of the motions and forms of reality by adding to those studies the understanding of the properties and laws of Information. Since only both together, the arrow of ‘energy’ or ‘entropy’ dominant in motion and the arrow of evolution of form, or ‘information’ explain the fundamental unit of reality: a feed-back cycle that transforms back and forth energy into information. The Universe is made of an infinite number of such cycles of exchange of energy and information between entities that shape the primary substance of reality: ‘cycles of time’ that occupy a surface of space. Time is cyclical and multiple. Each event has a frequency that carries information, defining a cycle or closed trajectory that breaks space into an inner, ‘fractal’ region and an external world. The result is the creation of multiple, ‘vital’ spaces and clock-cycles. Those cycles become chained in knots and organized in networks of knots, which share flows of energy and information, creating the complex systems and scales of reality.

Aperception, vegetative perception and consciousness.

We have come to a fundamental element of General Systems Sciences: the philosophical difference between information processing, aperception and perception. The mechanist paradigm, invented by religious people did not require perception, because the world was a machine set up by God (it is impossible to create a mechanist paradigm without a God putting up the system, something scientists today often forget). The organicist model can work with evolution as a game of automatic trial and error, but it doesn’t really work. We have to stretch the belief in evolution as some proponents of intelligent design have shown. Systems are simply too complex at molecular level and the relationships between scales require too much efficiency if the central, informative, processing systems would not aperceive (perceive the flows of information they process without self-reflection). So the most likely hypothesis is what Leibniz called aperception. Basically what Aristotle called the first cause, or unmoved God, which moves all the energy-bodies around him. And he affirmed there were infinite Gods and we were all one type of them.

And indeed, the easiest manner to understand reality is to postulate that all systems that work, have at least a point, ‘attractor’, cyclical particle, knot of quantum cycles of energy and information, which ‘perceives a world made with the pixels of its language of information that ‘converge’ into the nodal point and become processed within that point provoking in the point a reaction that moves the point towards a place in which it can feed on energy, reproduce or evolve socially.

Information thus would become the most repetitive cycle of all, caused by the smallest i-2, or i-3 particles that converge in the system. We would merely be the most complex informative systems that have a wider rage of election between our complex 4 arrows as we can absorb many types of information, energy and interact sexually and socially in many different milieus. But the simplest element of our universe, quarks and electron, which do perceive gravitational and electro-magnetic information, feed on gravitational and electromagnetic energy and when they receive many of it, reproduce and certainly evolve socially with other particles, exchanging energy and information through smaller quanta, should aperceive its fundamental force, as energy and information, to exist.

While we do not perceive gravitation because we are electromagnetic beings, I am certain that electrons perceive and feed on electromagnetic photons. And perhaps the strongest proof is the fact that our sensors of light (eyes) can perceive a single photon. An electron thus must perceive a white and black, (light or absence of it), message, which makes it (experimental proof) jump and absorb the electromagnetic wave, ‘growing’ in size, jumping to a wider orbital scale.

What proofs do we have that information perceives itself? The most evident one is the fact that we are human beings, made of atoms as everybody else, whose senses can perceive a single bit of information (the eye a single electron) and hence our mind is of the same quality than others and yet it does not merely process information but perceives it in the act of processing. We thus conclude that all points of view that ‘focus’ in stillness and pixel reality in a mapping, perceive.

Experiments made with animals show self-consciousness to appear when we see a being like we are, or we see ourselves in a mirror. Consciousness would be perception and should be a jump of complexity in our perception, which is not required for the system to work.

Yet aperceptive points can exist and do exist in all systems. They are the nuclei of cells, the knots of cells in a tree; the nervous system in complex organisms, the quark and quark stars (black holes) in atoms and galaxies, in what concerns gravitational forces; the fractal crystals in rocks. Each one will aperceive with different speed of time-information but they will all perceive and with that perception redirect its motions and reflect in one or other direction the energetic forces they absorb. And another proof of this is the fact that all forces we perceive are dual. So electromagnetic light can be taken as energy (plants) or as information. And we imagine that gravitational forces are absorbed as energy (star-plants that feed and follow the gravitational path in its orbits) or as information (black holes that move erratically). The erratic movements of animals and black holes prove the concept: motion with apparent disorder tends to be proper of beings that perceive. Does this means plants do not perceive? No, of course, but light is their energy They perceive a slower ‘chemical language’, as do cells of the body controlled by those who perceive the faster electric language – the neurons.

The mind ego. The self.

Absolute Relativity is balanced by the existence of egos. The self-centered Galilean point of view that make all measures and perceptions yet perceive reality dead, material, still, without motion or life. What this egos are is one of the most important discoveries of the invariance of topological form: zero points, hyperbolic, non-Euclidean fractal points with complementary parts of energy and information. Now, we want to make a philosophical analysis departing from the duality of Galileo.

Indeed, the paradox of Galileo – a fixed feature of all perceptive beings – explains the arrogance and egoism of all living beings, which have a self-centered point of view. Since from our perspective our nose seems bigger than the Andromeda Galaxy. While a selection of information is needed by all minds, which mirror an infinite universe in an infinitesimal volume. So minds select information and consider that only the languages the mind understands are an intelligent form of communication.

So the conflict between objective science and subjective myths will only grow with this new step of knowledge. As it happened in the previous shifts of scientific paradigms, man will find that all his anthropocentric theories about the importance of our scale of existence, including many that pass as science today, are self-similar to those anthropomorphic religions that invented a personal human-like God: fairy tales that substitute the laws of creation with myths to pump up the ego-trips that make us happy.

In that regard, happiness and truth tend to be opposite. Why then to seek for truth? Because truth makes beings efficient in the Darwinian Universe and allow them to survive; while happiness based in arrogance and ignorance of the laws of the Darwinian universe is the receipt to self-destruction. For example, the ignorance of the 5th dimension and its laws and scales caused millions of victims in the XIX century, when Mr. Pasteur’s ‘idea’ that small germs of the inferior life scale could kill us was disregarded as ridiculous and ignored for decades, because germs were considered too small to be able to destroy a human body.

Today the ignorance of the laws of growth of black holes put in danger the entire planet, as CERN, the Nuclear Research Center, seeks to reproduce them on Earth, adducing they are too small to swallow the Earth…

Those two examples show how important is true knowledge of our position in the Universe. Since if we are guided by happiness and ego-trips, our wishes lower our instincts and disguise the lethal dangers lurking in those other ‘scales’ of reality.

But are not those scales in the same space-time continuum that our Universe? No, they are not and this is the reason why we need a fifth dimension across all the others to describe the laws of invariance.

Yet man seems unable to accept an objective view, denied by its senses, its mind and its ego, which in Absolute Relativity is defined by the aforementioned ‘Paradox of Galileo’:

‘The mind is a mirror which perceives in stillness from its point of view, an infinitesimal part of the information of the infinite Universe’.

For that reason, in the same way Darwin is still denied, 150 years after his work, since from our point of view, humans are all what matters, and Galileo died in house arrest, 100 years after Copernicus’, because we indeed perceive the Earth still, the laws of self-similarity between scales and the absolute relativity of man might never be accepted.

Yet even if humans – don’t renounce to their sense of self-importance, as the ‘perceived’ physical center of the Universe and the ‘only intelligent’ species with a ‘manifest destiny’, objectively the laws of the 5th dimension treated in this work, show our existence to be as relative as the existence of any other entity of any scale of reality… Hence the name of Absolute Relativity we give to the theoretical study of the 5th dimension, defined in space as the fractal scales of in/form/ation that evolve the Universe from the simplest form to the more complex macrocosmic structures, and in time, as the cyclical flow of time between the remote past of simplex energy and the remote future of complex, information.

Indeed, the 5th dimension make us not only to occupy no central point in this scale of the Universe, but not even a central point in the infinite scales of size, which form the 5th dimension of reality, whose laws between scales, self-similarities and fascinating topological and temporal invariances I have researched for decades.

All minds, including man, are self-centered beings that believe to be the center of creation, because they gauge information from its point of view. Yet most of reality either exists in a dark space the species doesn’t perceive or uses a language the species doesn’t decode or it is further away from our ‘noses’ to be of any importance to us. This explains anthropomorphism and the incapacity of man to perceive himself as just another knot of simplex and complex actions of energy and time. The laws of those Points of view that gauge information, are Laws of Non-Euclidean geometries. The formalism of General Systems Sciences, which studies networks of points of view is therefore Non-Euclidean. Regarding its Logic structure, past, present and future become relative concepts and so the ‘logic’ of the Universe in which past, present and future co-exist in simultaneous space-time fields, is different, is paradoxical, dual… Its formalism can be fusioned with that of Non-Euclidean geometry in what we call illogic geometry, the linguistic foundations of all General systems. 

The paradox of the ego: linguistic points of view.

Perception is possible because of the mentioned paradox of Galileo: all is motion, and so informations are cycles of time with curved motions and energy-space are sheets of lineal motion. And so because all is motion, the repetition of those motions is in fact a simple reproduction that takes place in simple atomic particles (with cyclical vortex of motion) or lineal fields of energy (with wave-like motions).

The paradox of Galileo is again a fundamental law of the relativity Universe ill-understood by scientists who ‘see’ still pictures of reality with their instruments and seek for ‘substances’ instead of motions. It is also the key to the 8th key principle of G.S.Theory, the paradox of the ego.

All individual systems perceive or process information with their linguistic or geometric minds; using that information to guide their body towards fields of energy in which they feed.

Yet since resources are limited, to achieve those 2 simplest arrows of existence, all systems prey in the energy and information of other species causing their death in Darwinian, preying events. We thus talk of two ethical arrows in a universe of limited resources.

Top predator individual species will try to obtain energy from their environment absorbing it from species with weaker energy bodies and informative heads, provoking Darwinian, predatory relationships, causing their death in Darwinian, preying events.

And they will perceive the universe from their egoistic point of view, as a static dead space, of which they are the center. Since from their subjective perspective, their nose seems bigger than the Andromeda galaxy and the earth seems quiet surrounded by infinitesimal stars.

Yet objectively, the ego is just an infinitesimal, fractal mirror, reflecting a minimal part of the infinite information of the whole without which it will cease to exist. It is the paradox of the selfish ego that wants to be the center of the universe. The paradox of the ego is the main cause of extinction of all species, which as the human beings are unable to respect the infinity and power of the whole and consider themselves special sons of god, entitled to control and destroy nature, till the Newtonian laws of action reaction, extinguish them. Thus we define each of the infinite Aristotelian Gods, center of a surface of energy they move and prey on:

‘Every point of view=mind feels the center of the Universe, but it is only an infinitesimal Non-Euclidean point that stores a limited mapping of reality with its informative languages.’

We are all Atmans, informative CPUs, souls that gauge in different languages reality, to construct a mental mapping that caters to our point of view and arrows of time. So we create our ‘perceived Universe’ – a fact known from Descartes to Schopenhauer, but lost to ‘naïve, realist’ physicists. All of them thinking clocks are the only point that matters to measure time, and the human mind, the only ego that knots energy into form, since that is the only perspective they perceive. That is why most of history, humans thought the Earth to be the center of reality; and still think they are the only intelligent species.

Those points of view defined with Non-Euclidean mathematics represent the 4th dimension of social evolution and integration of 3 external ‘perpendicular dimensions’ of relative informative height, lineal motion and reproductive width (thought this 2 coordinates often vary, according to the environment and complex structure of the system, the height-dimension of information, which is the first to be established can be found in all systems).

For example, in the human electronic mind, the central S1,2 orbitals form a relative P.O.V. surrounded by 3 y,x,z p orbitals perpendicular to each other. The same structure is repeated in crystals and the NH+3 heads of amino acids in the 7.2 alkaline cytoplasm of the cell.

___________

Recap. The mathematical formalism that explains the structure of perceptive points, responsible for the general order of all parts and wholes of the Universe is the fractal, non-Euclidean point; the logical formalism, the Paradox of Galileo, and the mystique term for those zero points is… soul.

Non-E fractal points, that gather into social networks called topological spaces substitute the restricted concepts of Euclidean points and continuous spacetimes, explaining why all those cycles exist: Since we can reduce all forms and systems of reality to the only 3 topologies of a 4-dimensional universe: the energetic plane, the informative hyperbole and the cyclical toroid that combines energy and information in reproductive events. Thus self-similar, simple topologies of energy and information create complementary systems, which evolve further into organic systems, made of reproductive, energetic and informative networks.


 

VIII. INVARIANCE OF SCALE: THE 5TH DIMENSION. SUPERORGANISMS 

Infinite beings: Whole and parts principle.

Though the specific combinations of energy or information of each species – defined by its ‘vital’ or physical, Universal Constants (energy/information ratios) – might vary, the space-time structures and cycles of all those social organisms will be self-similar: All entities are ‘cellular societies’ organized through energy and information networks that bring about processes of social evolution. In all species studied by science a common phenomenon occurs: the existence of parallel groups of beings organized into a single social form. Molecules are made up of atoms and electronic networks; economies are made up of human workers and consumers that reproduce and test machines, guided by financial networks of information (salaries, prices, costs); galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole of gravitational information. Human bodies are organized by cells, controlled by the nervous, informative system. A tree is a group of leaves, branches and roots connected by a network of energy (salvia) and information (chemical particles). Cultures are made of humans related by verbal, informative laws and economic networks that provide their energy.

Sciences study those organic systems, tied up by networks of energy and information. In the graph, we see the main st-planes studied by human sciences and their 4 main time arrows, S E<=>I, which in static space give birth to the ‘organic elements’ of all species: social cell of energy and information and the reproductive networks that relate them. Thus, there are 4 basic elements in all organic systems:

1.  Cellular units.

2.  Networks of energy or vital space.

3.  Networks of fractal information.

4. Networks that reproduce energy and information.

All entities are generated by reproductions and transformations of energy and informative cycles (ΣS<=>Ti), organized in cellular units, through networks, and ±st Planes of self-similar forms. Yet, since those cellular units st-1 are made of smaller st-2 cells, which show the same structure, we can define any organic system as a super-organism (made of smaller, self-similar super-organisms):

‘A super-organism is a group of cellular super-organisms joined by energetic, informative and reproductive networks.’

Thus we unify the properties of Universal Systems and the sciences that study them under a single template definition, according to which simple systems and complex organisms will differ only in the degree of ‘completeness’ of its networks and the specific energy or information they are made of:

‘A super-organism is a network composed of a population of (name a particular cell or cycle), related by an energetic, reproductive or informative arrows.

A fractal organism (name an organism) is a population of iterative (name a cellular species), related by informative (name a language or informative force) and energy networks (name a kind of energy), which combine into a reproductive network that iterates the organism.

A universal ecosystem (name a specific ecosystem) is a population of several (name the species), related by informative languages (name their languages or informative forces) and energy networks (name the energies).

Fill the gaps with a specific species, language/force and energy and you can define any network-organism in the Universe. While if the system is composed of several species that occupy the same space but have different networks of energy and languages of information, we talk of an ecosystem: – An atomic organism is a population of (electronic) energy and (nucleonic) information, related by networks of (gravitational) information and (light) energy.

– A molecular organism is a population of atoms, related by networks of gravitational energy and networks of electromagnetic information (orbitals, London, Waals forces).

– A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and genetic information (DNA-RNA.)

– A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems).

– An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey).

– A historic organism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life energy.

– An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc.).

An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and include 2 different species: human beings and machines.

– A galaxy is a population of light stars and gravitational black holes, related by networks of gravitational information and electromagnetic energy.

-A Universe is a population of galaxies joined by networks of dark matter and energy.

We establish thereafter a parameter of multiple space-time scales of growing volume of information, st=i, to classify all those relative scales of spatial energy and temporal information of the Universe, starting by the simplest scales, st=0 (mathematical cycles and lines), st=1 (Gravitational space), st=2 (electromagnetic space), st=3 (atomic particles) and so on, till reaching the most complex, macro-structures of the Universe (st=9, galaxies).

Creation of social scales:  each whole is a unit-part of the next scale.

Complex, social evolution helps most species to survive, especially when they reproduce in great numbers, creating a ‘new scale of reality’, self-organizing themselves with a language of information all those cellular particles share. And we measure this fact with a scalar, fractal index of new scales of existential functions, i. Normally all systems must be defined at least in 3-4 scales:

– The lower, i-2 (bits of information) and i-1 (bites of energy) scales defined with mathematical/genetic/memetic languages, depending of which systems we analyze in its details – a biological, sociological or physical system. We perceive this scale as bits of an informative language – which gives us a synoptic minimal information of the properties of the entity. As the i-1, i-2 levels, as it is far removed from us in size and so we introduce uncertainties and loose information.

Then it comes an i scale, of our size, where information is maximal. So we observe more information explained in a complex manner. Thus in the i-scale we deal with chemical molecules in physical systems, living cells in biological systems, humans in history and corporations in economics, using topological, organic, psychological or econometric methods to define their actions.

–     Finally in the i+1 scale we perceive ‘states of matter’ that define masses of molecules of energetic (gas), creative/reproductive (liquid) or solid/informative nature; we perceive organs and organisms made of cells and we perceive civilization and markets.Cells and emergent scales.

Most beings are made of self-similar i-1 cells, particles or social individuals, which put together by networks become an i-organism, unit of a higher social i+1-scale.

One of the fundamental properties of such structures is emergence. The properties of the simplest system emerge in the more complex. This means the geometrical properties of space-time are shared by all the new scales. The electromagnetic properties of quantum numbers are shared by all atomic species. The biochemistry of cellular life by higher organisms, and the individual behavior of human beings transcend into the socio-cultural behavior of social super-organisms; and our forms and vital functions are also expressed in the world of memes of metal we construct.

Wholes are made of smaller parts. Both interact and influence each other. Yet chirality and entropy between scales means wholes control parts: the key law of those interactions between the cellular and network scale is simple: energy flows from lower i-scales into bigger i+1 scales and information flows from bigger to lower scales. And this paradoxically tends to cause a topic error in all sciences. Since all energy has information and vice versa, but energy bites are more ‘evident’, than smaller, coiled, often invisible or incomprehensible flows of information, scientists tend to overlook this duality or look at those interactions only in the path from the lower scale to the larger one. For example biologists tend to think that the whole structural information of life beings is stored in its smallish scalar parts, genes. They think the whole, external ambient and organic scales do not influence the genetic parts. This is most likely false, as there should be ‘bigger scales that code information’ in ‘longer genetic codes’ and introns. There are morphological shapes, caused by the emergent properties of simple space-time (so all organisms follow the diffeomorphic dimensions of space-time with information on top, etc.) There is speciation based in the duality of energy and information systems. There should be imprinting of neuronal networks by the mother’s emotional networks in the 3rd ‘informative’ phase of development of the fetus. There might even exist a Lamarckian response to external, ecosystemic adaptation to increase the random chances of mutation towards one of those ‘natural directions’ of morphology, as processes of punctuary evolution seem to indicate.

The same error happens among physicists, which are obsessed by entropy only theories (black hole evaporation, negation of the arrow of reproductive, fractal information, which Mehaute proved to happen always, when entropy no longer acts), etc. This is obvious in their obsession for heat solutions and the stubborn denial of the duality of all processes that can be done in ‘Max. E’, energetic, hot ambient and Max. I, informative cold ones – such as the fusion process.

Finally in social sciences, we build social models that stress the individual and not systems and superstructures. Yet it is a fact that networks, the whole, always influence its parts. So many sciences must be completed with the study of that influence from ‘upper scales’ into cellular ones.

Organic Networks.

All those morphological differentiations and social elements can be resumed in a word: organic networks. Social individual systems acquire network forms, shaping forms related to energy or information, or combine them both. And so we find also in all systems a ternary differentiation between cells that become energetic, reproductive or informative networks.

We classify all space forms and time events in 3 topologies that put together in social networks, create organic systems guided by 4 time arrows: energy feeding, information gauging, reproduction and social evolution. Those 4 categories are the so-called drives of living beings. Thus, there is a ‘Universal Plan’ with an existential finality: to create organic systems, departing from energy bites and information bytes evolved 1st into social networks, then into complementary systems and finally into organisms: particles become atoms that become molecules that become cells, organisms, planets, galaxies and Universes. It is the 4th organic why that completes the adventure of science and this work explores in all its consequences.

Complementary systems are not ‘point-particles’ but cellular or atomic systems, made of networks of bits or bites of information and energy. Those networks are able to modify its distances and forms changing its topology and for that reason the Universe is dynamic in its transformations.

Because networks are flexible webs of points that can adopt different topologies by modifying the distribution of those points, networks evolve and switch between the 3 topologies of existence, hence creating a complex universe of constant transformations between the 3 functions-forms of the Universe. Thus all networks = organisms often have two ‘sub-forms’ or states, the coiled, informative, radial or spherical state and the uncoiled, bilateral, anteroposterior, lineal form.

The first state is the informative state and the second the energetic state of motion; as systems are always dynamic flows and transformations between two poles of Energy and form joined by a body of cyclical exchanges between the concave and convex |-O E-I poles.

Thus the answer to the whys of the Universe can be resumed in a word ‘networks’ that defines the multiple realities we see around us:

‘All what exists are organic, fractal systems, made of self-reproductive, complementary, social, topological networks of energy (bodies and fields) and information (heads and particles)’:∑Se<X>∏Ti

Thus the why of reality is the creation of social networks that become complementary super organisms.

Complex and Simplex arrows: internal networks and external forces.

In essence organisms have internal parts, attached to ‘external apertures’ called senses that perceive two basic external forces of information and energy, elaborated and distributed to all cells by internal networks. When those external sources of energy and information saturate those internal networks the complex arrows enter in ‘action’. So the excess of energy is imprinted by the excess of information, exi,  reproducing a self-similar organism or it is shared with similar individuals, creating ‘bondage’ in herds or complex organisms.

Thus external forces and actions of perception and feeding are fast in time and extend in a wide spatial range, to the point of creating a ‘continuous’ perceptive experience. While the complex arrows are of long duration in time, requiring little space and long time to re=produce its actions.

This is expressed in a law of inverse spatial range and time duration:

i-3 Informative pixels (Max. E x Min.i) = i-2 energy bites (ExI) = i-1 reproductive seed (min. e x Max. i)

This is the case of the forces that ‘express’ those arrows in atoms. Where the external forces of information and energy (gravitational and electromagnetic forces) have a wide range and the internal forces of reproduction and social evolution (strong and weak forces) have little spatial range, specially the weak force which is a ‘Temporal transformation’, not a spatial ‘force’, as it transforms particles in time, evolving them without motion in space.

Thus the Strong and Weak force are the complex ‘inner’ forces of the atom, which play the same role than the complex, inner networks of energy and information (blood and nervous system) of a biological organism.

They describe reproductive and evolving processes. For example weak forces are the equivalent to other evolving processes like the chrysalis of an insect or the resting moment of pregnancy.

Both type of forces/actions are easy to spot. Since time and space are opposite in properties and so time processes tend to be ternary (with 3 dimensions states, a first more energetic, the reproductive middle event and the final informative one), and last longer in time (the weak force has a time related constant) and hardly have any range in space, but need quiet, small, secluded places (in species this cause allopatric evolution).

Recap.

– From 1 comes 2: The Universe of space-time is the ultimate simplification of a world made of multiple actions of spatial energy and temporal information, performed by an infinite tapestry of complementary systems composed of both ‘formal motions’.

– From 2 comes 4: There are 4 actions of energy and time, each one with an internal and external, negative or positive direction:  The simplex actions of energy (external motion and internal feeding). The simplex actions of time (external cyclical motion, and internal perception).  And their 2 complex combinations: exi, or external ‘actions’ and internal reproductions’ and ∑exi, the fractal, social repetition of those actions, which creates external herds that feed on energy along an external network or super-organisms structured with inner networks that deliver energy and information to all its cells.

– All systems of the Universe are defined as ‘knots’ of those 4 type of actions, which are cyclical and discontinuous, as each being switches between them, trying to survive by feeding (E), perceiving (I), reproducing (ExI0 and evolving socially ∑exi. We define the central point of those knots as a P.O.V. or fractal Non-Euclidean point, the ‘aperceptive’ engine that orders the Universe. And there are infinite of them.

– The outcome of this structure is a fractal Universe, in which knots of cyclical actions become herds and super organisms, in which the ‘informative network’ emerges again as a knot that controls the actions of the herd, packing it tightly as a new ‘cell-point’ of a new ‘fractal’ scale of the Universe.


IX. THE GENERATOR EQUATION: MAXIMIZE YOUR EXISTENCE.

In the graph, the development of the cycles of temporal existence, can be followed through the 3 ages or states of maximal points of its function: ∑Max.Exi. In logic terms, all species try to maximize their function of existence, ordering their life cycles in a ‘rational’ manner, through those ages and states. Actions become then strategies of survival and renewal.

There is always a Particle (Physical Jargon), Point of View (Logical Jargon), Brain (biological jargon), Non-Euclidean, Fractal point (Mathematical jargon) or ‘soul’ (mystique, existential jargon) that ‘integrates’ the incoming flows of energy and information of the system thanks to its control of a common language, used for the system to code information (geometry in physics, electronic images in biological systems, verbal thought in sociological systems, digital languages in economic systems). What is the will or goal of those points of view?: To maximize its four survival actions.

And we can formalize these combined actions with the generator equation, as each of its 4 terms means one of those actions: E=energy feeding, I=information processing, ó or X, Reproduction and ∑, social evolution.

Thus to maximize the function of existence of its system becomes the Universal mandate of any entity: Max. e x Max. I, which is achieved when E=I (mathematical rule: 5×5>9×1) and ∑->infinite.

Thus, when a system grows in balance between its energy and information and multiplies its quanta, it increases its ‘existential force’ (GST Jargon), top predator force (biological jargon) or Momentum (Physical jargon).

The mandate of existence means that all p.o.v.s will try to perceive and absorb energy till they have enough to reproduce themselves, and then, they will be ‘forced’ to evolve socially in a dense environment of self-similar cells to survive.

∑: The Bosonic point and the zero mind. Max. information and beauty, E=I

We can consider also ‘partial maxima of the function of existence.

For example, if we are to consider informative systems alone, the creation of a bosonic, zero point in which an infinite number of self-similar, ∑-forms converge is another path to maximize the function of existence.

As the bosonic point maximizes its information and informative ∑-quanta.

In the scale of informative particles all physical particles can be bosons in the proper conditions, becoming undistinguishable. The result is the formation of a single, new whole, a condensed plane of existence to which each bosonic particle gives part of its existential momentum, which emerges creating a new fractal form, combination of the topological points fusioned into the new form: The median of each S=T values for each individual field of energy and information create together a new topology that looks like a single one, as it has become either a toroid, sphere or hyperbolic new whole. So orbitals become a molecular pi-orbital that envelops the now indistinguishable ones, and our cells become part of a new whole, which emerges into a new scale, as an individual organism and so on.

The system’s integration happens in all kind of forms, from neuronal integration to cpus and gravitational fields of multiple bodies.

Perception is in fact a bosonic process: An internal zero point once formed trans/forms from its p.o.v. the forces of energy that pass through it, creating a pixelled image to perceive.

If we were to consider from a philosophical point of view that fractal mind, made of i-2 pixels that converge in stillness in the zero point, perception of ‘classic beauty’, defined by an obvious equation of harmony and balance E=I, maximizes our existence.

Herds of undistinguishable bosons are also essential in the creation of membranes. They are also essential in parallel flows of bits and bites of information and energy transiting within or between planes of existence in the toroid forms. Thus the creation of bosonic wholes from individual herds is key in the 3 type of networks that assembly together in functions of existence, E<=>I.

The will of the Universe. Sensation of beauty, pleasure, greed & love.

Each of the maximal points of the function of existence is reinforced by a positive sensation. Beauty of information; ‘greed’ for energy, and ‘sex’, which reproduces in an e=I state our forms of existence. Hence all systems reach the maximal will/pleasure/ desire at the moment of orgasm.

In other words, the Universe is an infinite game of orgasms (-: Reproduction is the game, achieved by growing in energy and information, and reproducing the system in new quanta that will evolve socially into new macro-organisms, units of the higher plane of existence.

And this brings the 4th ‘desired’ sensation – love, the desire to evolve socially with complementary beings (e=I, gender definition, where women are cyclical, max. informative beings, and male, lineal, max. Energy beings).

The conclusion is obvious: in human beings and probably in all ‘complementary fields of existence’, the program reinforces itself through 4 desired sensations: to perceive beauty, to feed on energy, to reproduce and to love socially. So the ultimate will of the Universe is spiritual, as all is motion and motion is due to the achievement of a cycle of existence, driven by a sensation.

And those sensations can be easily written as partial equations of the Generator: beauty (Max. I, i=e), happiness (Max. E, i=e), sexual pleasure (Max. ExI) and love (Max. ∑), which might be the ultimate will and sensations that resume the universal mandate.

The duality of eusocial parallel love vs. Darwinian, destructive hunting.

Of the many sub-laws derived from the mandate of existence, the duality of predator vs. loving behavior is paramount to explain multiple events of reality: All systems of the universe display a dual behavior: they prey on different systems to absorb energy and information for their bodies and minds and they evolve eusocially with members of the same species to reproduce and become bigger, more complex eusocial super organisms, sharing energy and information through common networks that create a new whole made of cellular parts.

It is the duality of the arrows of love and hate. Yet the arrow of love is a better strategy as it is the arrow of creation that the arrow of death and hate. Since the 4 actions and sensations that create the will of the Universe and evolve its 5th dimension form a Maslow pyramid of preferences: I->E->Exi->∑Exi: perception-greed-pleasure-love.

So we can describe the social evolution of the universe under the arrow of love, as a whole whose parts are all made to its image and likeness guided by the laws of all cellular systems who strive to survive by evolving eusocially to become a cellular part of that whole.

According to emergence, the mandate of existence and its fundamental sub-laws, must express itself as a fundamental law of all systems, in all the scales of the Universe.

For example, the duality expresses itself geometrically in the first scale as perpendicularity (Darwinian behavior, in which one form penetrates the other, destroying it) or communicative parallelism (which enhances the arrow of social love, as flows of information invisible to third observer, are shared at equal distances).

Two self-similar beings, which share energy and information along a small gap between them leads in fact to ‘fusion love’ – reproduction – in which parallelism occurs in two scales, the macrocosmic and cellular lower scale of existence. Reproduction across two planes of existence happens in fact in all systems:

From electrons that merge in spin/anti-spin genders till the last human being, sexuality is essential to reproduce a certain ‘function of existence’.

The why of existence, thus is the constant creation of cycles of life and wills and knots of time that want to order, committing actions that maximize its function of existence. And its highest will is love, which requires to fly further with your own will and empathize with the will of all knots of time cycles of the Universe.

While in the field of perception you want perceive, what you understand as beauty – a balance of energy and information. So goes for your actions, which are balanced, as you switch between them, perceiving forms and feeding on energies, and having sex, and loving…

X. SYMMETRIES OF THE 5TH DIMENSION: 3±1 SCALES, 3±1 AGES, 3±1 TOPOLOGIES. THE TERNARY METHOD

In the graph, the generator equation of the Universe resumes all the invariances and scales of reality and its main symmetries and harmonies, in time and space, which are studied by the Ternary method of knowledge.

We have now all the elements of the game: the actions p.o.v.s. perform which are the ‘dimensions’ of spatial perception; the temporal dimension, integrated through a language by the p.o.v. and the Mandate – Game of maximal exi=stence they all play. And with those elements we can understand everything else in the Universe.

A new methodology and language, more advanced than simple Aristotelian, unicausal logic and Euclidean mathematics is needed; a new philosophy of science, organicism, instead of mechanist, digital, abstract models of reality; an emphasis in the qualities more than the quantities; in geometry more than arithmetic; in time functions more than spatial structures; in harmony and balance and feed-back, in dual or multiple flows of communication more than in individual selfishness, in order more than entropy is needed.

To that aim General Systems Sciences follows the ‘ternary method’, as all systems will structure themselves in:

–       Continuous ‘space’ through the 3 topologies of a 4-Dimensional Universe, in organs of energy, information, reproduction and a ‘4th’ element, the P.O.V. that integrates the parts into the whole.

–       In discontinuous ‘fractal’ scales of size and information through 3 scales, the ‘cellular’, individual and social scales, which will interact with each other.

–       In continuous time, through 3±1 ages in which energy (youth), reproduction (maturity) and information (3rd age) will dominate between birth and extinction.

–       And  in ‘discontinuous time’, through the alternacy of its 3+1 actions of feeding, informing, reproducing and evolving socially.

Let us consider this new method of knowledge to extract all the information relevant to the complex structure of any real system.

The ternary method consists in studying those 3+1 structures that exhaust the knowledge of any Universal system. To notice though the difference between the 3 ‘actions/arrows/dimensions of space’, energy, information and its combination, reproduction, which ‘occupy’ often 3 perpendicular Euclidean dimensions (height=information, length=motion, width= reproduction) and the 4th ‘integrative’ arrow of ‘time’ and social evolution, represented by the point of view, which is also the point that ‘emerges in a bigger scale as the unit that represents the whole. This difference will become essential to understand the differences between 3-dimensional space and time, between determinism and freedom and so on.

The ternary method. Definition of knowledge

In the graph, all systems perceive at least one language, interpreting with the same ‘grammar’ reality, to localize its energy, information, reproduce, evolve socially and try not to devolve, becoming preys of other systems. In the next graph we observe how different species perceive with different languages the Universe, but all of them ‘share’ some of those codes, specially the geometrical one. So all heads are on top. Yet each head is different in each scale and talks a different grammar, albeit with the same universal grammar, which reflects the fundamental equation of the Universe: E<=>I.

Given the simplicity of the Game of Existence – despite its infinite complexity in its details, iterations and combinations, all species, from the simplest atom to the biggest structure can play the game and understand it and relate to all other species, which will play the same game from their selfish point of view. And so all individuals of each species plays the game, and ‘talks’ about it, with similar species and understand it with information provided by self-similar ‘ternary images’ provided by a language that shares the properties and emergent qualities acquired in each scale.

But of more interest for General systems theory is the ternary structure of all linguistic systems in all scales; what we call the Universal Grammar, such as:

Space-Dimensions: Height (informative dimension) <Width (reproduction) > Length (energetic motion)

Mathematical languages: X < Operandi> Y

Forces:  Particles (information) < Universal constant: action, exi or ratio e/I > forces (energy)

Code of Colors: Blue (information) < Green/Yellow (Reproduction) > Red (energy)

Verbal code: A (Informative, I-subject) <verb/operandi (action) > Object (energy)

A(Human) < verb (action) > Object (energy of human)

The ternary Universal grammar expresses the arrows in verbal languages and human super organisms.

It follows that not only mathematics (geometry) is a mother science but also logic (the analysis of the causal processes determine by those arrows) is even more essential, and further on ‘evolution’, the evolution of forms and functions in temporal patterns summons them all. So those 3 sciences, spatial geometry, temporal logic and its combination, evolutionary theory, are the ‘3 subdivisions’ of general systems sciences, which apply to each science explain it all.

Over them, there is general systems sciences, the science this book can be considered its foundational book (as it formalizes and structures and advances all previous works done on it.) Below them, each specific science studies a scale of social evolution in the universe from the smallest physical systems, to its complex biological organizations and beyond its social organizing systems.

Since science consists in the definition of the type of points of each relative scale of size of reality, from the quantum scale studied by physics, through the intermediate human scales studied by biological and sociological sciences to the higher scale study by cosmology

Once those points are defined, each science studies their 4 actions, which define all its events and forms.

Study of the 3+1 actions: its bits of information, bites of energy, reproductive seeds and grammar.

Yet we study those actions through the 3 scales of size of the system, its bits and bites, normally of the smallest scales of existence, since:

–   We perceive with the minimal bits we can process to create the more detailed maps (<i-2).

–    We eat sometimes, similar species but break them into smaller parts (i<2). For example we eat meat but break it into amino acids, below the cellular level.

–   We reproduce a seed from the lower plane of existence (i-1). So we produce seminal cells and electrons reproduce emitting photons that collide and recreate an electron.

–   And finally we communicate with a language of information at the same level we exist (i), in order to create a more complex whole (i+1).

Thus we observe, as in many other laws we will be developing in this book, an infinite number of harmonies between sizes, ages, forms, functions in all scales of existence.

Actions are expressed with bites and bits of inferior scales. We perceive the smaller possible ‘bits’ (<i-2), eat bites of the inferior i-2 scales, reproduce with seeds of the i-1 scale and share energy and information with species of the same scale to create.

The bits of information (i-2), will usually be entities at least two smaller scales of existence.  The smaller they are, the more detailed the map made with its ‘pixels’ will be. So we can consider the possible existence of ‘gravitational minds’ that perceive a scale inferior to us.

For example our eyes perceive light photons, the minimal scale of form. Ants perceive chemical pheromones; computers perceive electronic flows; all of them ‘forms’ of a minimal scale in relationship to the species that perceive. The bites of energy will be pieces of the same or inferior scale. So we eat ‘living beings’; electrons feed in the lower scale of light; and black holes in stars. Yet once a system feeds it will further reduce what it feeds on another scale to obtain basic bricks to reconstruct once form through ‘2 scales’. So our body reduces food to amino acids, the minimal parts of life. And electrons probably reduce light to its magnetic and electric constants to create their fractal nebulae. And nations that conquer other nations reduce their people, minimal unit of the nation to slavery and take their gold to print their own coins.

So as we move upwards in the complexity of the actions we study there is a ‘growth’ of informative similarity of the bites and bits and a growth in size, such as informative bits are less similar and smaller than the bites of energy we feed. And this pattern continues when we consider the ‘expressions’ of the actions of social evolution and reproduction.

The expressions of social evolution are languages, which are naturally produced by the informative center of the system; except in the case of enzymatic evolution in which the language is external to the species (a species which acts as the reproducer and catalyzer of evolution of other species; cells with viruses, humans with machines metal atoms with carbohydrates and so on). So the language is a ‘part’ of the being, often corresponding to an i-1 inner structure, though transported by an external force.

Finally the larger, closer form to the organism is its reproductive seed. And hence by the law of parallelism between species, the ‘bit’ of information for which the organism cares more: small quarks among simple particles, cellular seeds in life; jets of matter in galaxies.

 


2 Responses to “Living Universe”

  1. All things considered. Says:

    You need to read the grandest of all of the Buddha’s many teachings, the Lotus Sutra. I see it as a compliment to your system sciences education. For example, he talks about insubstantiality and substantiality and how reality is really neither of these two things but is in fact not attachable to any concrete or transient standard.

    • All things considered. Says:

      By the way, i loved the Vishnu quote you had to Indra. the Lotus sutra explains the reasoning in that idea.


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: