“Universal herds can be described as superorganisms of ‘cellular’ species, joine by networks of energy and information“.
This web studies the superorganism of history, made of human cells joined by political networks of information and economic networks of energy, and the superorganism of machines, built by the global ‘stock-market’, a brain that regulates with digital flows of financial information its ‘cells’, company-mothers that re=produce machines, organisms of metal that transform back and forth energy into information. His author pioneered in the 90s-2000s a theory of all what exists as 10-dimensional superorganisms, in the milieu of general systems sciences.
In this post we explain in a simplified manner the foundations of General System Sciences, the discipline which models reality with organic laws, describing all what exists as dual systems made of networks of energetic and informative ’cells’. Since they are the ‘larger’ philosophy of science in which the organic models of history and economics of this web are based.
— One is called mechanism. It considers all what exists a machine, including the human being, the Universe and of course machines. mechanism is the official philosophy of our technological civilization. It was developed initially by Galileo, whose real-life profession was that of an engineer of military devices, working for the princely salary of 1000 ducats a year for the Arsenal of Venice. Galileo was a mechanic, who started to philosophize about the Universe, departing from his job. Thus, he took the instruments of his work as the models for his cosmogony, in which the universe was compared no longer with a human organism but with a machine. Today mechanism is still the main philosophy of economics and Physics—the 2 sciences that manufacture machines—not because mechanism is the truth of the Universe, but because machines gave power and power imposed those ideologies to the rest of mankind.
So scientists made of the machine the ‘idol of the human tribe’ that established our superiority over Nature and all organic philosophies of knowledge. Galileo’s idea that the Universe had to be observed with machines, telescopes, today evolved into cameras and clocks, today evolved into computers, instead of human senses, eyes and verbal words that describe time with past, present and future verbs, however degraded the mental organs of human beings to a secondary status. Soon, the Universe became modeled no longer as a complex organism but as a mechanism and man became an imperfect machine, (instead of considering machines imperfect organisms): ‘I should like you to consider that these functions (including passion, memory and imagination) follow from the mere arrangement of the machine’s organs every bit as naturally as the movements of a clock or other automaton follow from the arrangement of its counter-weights and wheels.’ (Descartes, Treatise on Man).It was a radical change in history of thought. Since mechanism created the world we live in. Because all other ideologies, capitalism, techno-utopias, even Marxism, come from mechanism, the belief in the machine as the measure of all things.
— The other great philosophy of the Universe is called organicism, as it considers all what exists an organism, the human being first, made to the image of the Universe also an organism, whose biological mind – the laws of organic science—we might call in mythic terms God. Organicism considers the machine also a primitive evolving organism that will become one when robots acquire Artificial Intelligence. Organicism was the dominant doctrine of mankind during most of our existence, till the Industrial Revolution changed the paradigm. But precisely, because machines are becoming ‘organic’, suddenly organicism has become all the rage – as engineers study biology to replicate organic systems in machines. And so, paradoxically, the III Millennium will witness the final victory of organicism over simplistic mechanism, as the Earth, Gaia and ‘her new inhabitants’; machines, become organic beings.
Indeed, it is only now in the XXI century when science and mathematics (fractals, non Euclidean and chaos theory) has reached a level of sophistication that allows us to return to an organic, more complex vision of the universe.
It is a revolution on the making, which this web brings to social sciences, with the minimal mathematical rigor needeed to fully grasp its scientific principles and so we have to introduce some more complex concepts of time, energy and information that those used by physicists to fully grasp the organic paradigm from where Bio-economics and Bio-History, the 2 new disciplines explained in this web depart.
Universal Systems of energy and information
‘Complexity (general systems) will be the science of the XXI c.’ S. Hawkings
The definition of any General or Universal System is this:
Any system of the Universe is a complementary whole made of a points/particles/heads that gauge cycles of temporal information and control planes/fields/bodies of energy that move them (mathematical, physical and biological jargon of a Universal System) The understanding of this ‘fundamental entity of the Universe, ∑e<=>i, allow us to resolve an enormous number of ‘fundamental questions’ about reality, recognizing those energy/information entities by its morphology, as the purpose of an informative particle/head is to gauge and perceive and process information fast in time, it will be smaller (chip paradox) and it will be cyclical (the sphere stores maximal information in minimal space) – as heads, eyes, chips are. Since the purpose of the body/field is to move the particle/head it will be lineal (the fastest distance between two points) or planar (the biggest surface with less volume). And so the topologies of the Universe are ‘organic’, vital – the more so when we introduce concepts of Non-Euclidean geometry – in which points have volume – and topology – in which motion is part of the geometry.
Energetic Bodies & informative brains:Energy and information are the 2 primary elements of the Universe. Their properties and interactions studied by the science of complexity, are inverse: Energy is spatial, big, mobile, lineal, destructive, as bodies and weapons are; information is temporal, small cyclical, still, perceptive, creative, as brains and eyes are. In the graph the 2 primary elements of the Universe, energy and information, mix and evolve, till reaching the threshold of complexity that gave light atoms living properties and now it is about to give the same life properties to metal systems. In the graph, in biological and morphological terms, we can easily recognize the ‘bodies and heads’ of humans, animals or machines, because they have a clear morphology, which corresponds to that of generic energy and information.
Energy is lineal because the line is the shortest distance between 2 points; and so it is also the fastest energetic movement. Information has cyclical forms, because cycles store maximal information in minimal space.
For example, a human body and a machine body, a weapon, should not have anything in common; but if we observe the morphology of both, it is clear those morphologies correspond to the generic morphology of all energies: they are big, lineal systems that move in space.
So our limbs are lines extended in space like a ‘missile’. On the other hand, our eyes and brains are smaller and cyclical, like the cameras and chips that act as information organs in machines, ordering ‘bodies of metal’ with digital information. Let us consider the properties of those 2 elements, energy (bodies, fields) and information (particles, heads) and some of its species, in life and metal:
Moving Energy Reproductive Information
Lineal, spatial, big, moving Cyclical, temporal, small, rotating, still.
Formless, continuous, simple Form-ative, discontinuous, complex.
Field, body, male, weapon, Particle, head, female, coin, chip.
Iron, oxygen, carbon Gold, silver, nitrogen
Protein, lion, shark, death DNA, human, dolphin, life.
We could summarize the formal and functional differences between energy and information (organs) in a morphological equation:
Maximal Space = Energy = Minimal Form=body Vs Maximal form = Information = Minimal Spatial extension=head
For example, the chip becomes smaller as it evolves into a better brain. Every 2 years it doubles its capacity to think, as it dwindles in size. Such process follows a generic law of evolution I call the ‘Black hole Law’, which computer scientists know as the ‘Chip paradox’ or ‘Moore Law’: maximal informative capacity= minimal spatial extension.
The reason is obvious: to think, to calculate you have to communicate in-form-ation, forms between elements of any informative system. The smaller the brain, the faster the communication that takes place within that brain and the faster you can calculate and process information in a logic manner.
As a result of those morphologies we classify as energy or information organs not only carbon-life organisms, made of energy (bodies, food) and information (brains, eyes, senses, worlds), but also other beings and atomic species, even ‘deconstructed organs’. Since we can now recognize geometrically their energy or information organs. Some of those systems are mechanical, made of metal. Some are vital, made of carbon atoms. Yet all of them have a biological influence over us, provoking changes in the energy and information systems of mankind that we should control for our own benefit.
From these simple facts of universal morphology, applied to human beings and metal, we can classify ‘objects’ and human organs, as energetic, lineal systems, or as cyclical, informative systems that combine into complex organisms:
— Energy organs are lineal systems with minimal ‘form’ that kill, simplifying information into energy. Thus, a field of energy, released by a physical particle or an energetic weapon, such as a sword or a missile and a top predator, energetic animal, such as a lion, will have both lineal forms and kill, destroy the in-form-ation of their ‘preys’.
— In-form-ative organs create form and trans-form energy into languages that map out ‘reality’ with formal ‘bits’. Those bits are smaller symbols, which form images in the brain that represent reality and help to simulate reality ‘faster’, in ‘lesser space’, the ‘future’ cycles of reality, anticipating them. Then, according to those ‘logic’ simulations of the future, heads will move and direct energy bodies towards sources of energy and information. So any system that ‘gauges’, measures and reacts, is an informative organ, regardless of the specific language it uses to gauge reality. A chip measures with numbers reality, a man with words, an atom with electro-magnetic ‘bosons’; yet the 3 act-react to their measures. So they all are informative organs.
— Reproductive organs repeat informative and energetic organs, by absorbing energy and ‘imprinting’ it with its particular in-form-ation. Thus, human mothers and company-mothers of machines are both reproductive organs. Even the simplest particles of the Universe, quarks and electrons, absorb energy and emit new particles, small quarks and electrons, with the same form that the parental particle.
So in fact, we have come to the objective conclusion that all systems of the Universe have organic properties. Since even its simplest entities, quarks and electrons that form atoms do absorb energy, gauge information and reproduce, the 3 ‘properties’ of life. Thus, the Universe must be defined not as a mechanism but as a complex organic system, made of organic atoms, which can combine to create many different complex organisms, including company-mothers that reproduce machines, atoms that reproduce quarks, electrons and forces and mothers that reproduce kids. The difference between all those species is not one of ‘quality’ but of quantity and complexity of their organs of energy and information, which determine their survival chances and status as top predators of any ecosystem.
The functions of those ‘systems’ are also biological. Weapons are lineal, energetic forms that kill human, energetic bodies. Both compete in a war and the ‘metal-energy’ species wins and kills us, causing the biological process of death. So weapons are lethal, machines and should be repressed as we repress biological predators and killing virus. company-mothers also compete with human cultures for the control of mankind and the creation of a world madee to the image and likeness of its offspring of machines. Yet Mechanism affirms that machines are objects that do not influence or compete with humanity. So, if some ‘collateral effect’ happens, our death, or the ddestructionn of gaia, the life superorganism by machines, it must be blamed on humans.
This of course is false: the only difference between organisms and machines is that organisms possess both, a body and a head or particle of information. On the other hand, machines normally have only one of both elements in perpetual balance. They are either dominant in informative systems (computers, TVs), or energy systems (weapons, transports). As such they don’t switch behavior, becoming first informing heads and then moving bodies, as biological life does. . . till the arrival of robots. Thus, classic machines are predictable, reliable and their simplicity makes them efficient.
If a mechanism is a system that has only information and energy organs, an organism has both systems and so it is able to reproduce by combining its energy and information into a replica of itself. In that regard, the reproductive organism of machines is today the company-mother that reproduces them with the aid of informative metal (money) and machines (chips), energetic machines and human workers that act as catalysts and re=producers of those machines. And because we live all in a planet of limited resources, machines and life increasingly compete to reproduce the limited energy and information of this planet. So a series of vital relationships of symbiosis and predation between carbon-life and machines take place, despite the stubborn denial of ‘mechanism’, the ideology of scientists that make those machines.
Of course mechanism argues ‘ad eternal’ that computers will never be able to process information better than our brains, but the fact is they already do and that is why they displace workers. We can build computers that process the same information our brains process, encoded in numbers, with a few atoms of gold, while our brains need very complex masses of carbohydrates that move 3 million times slower than photonic chips do. The creators of intelligent computers are today the stars of scientific media. They are funded by the scions of ‘money and weapons’ of our society, Wall Street and DARPA, the robotic arm of the Pentagon. Sadly enough our economic ecosystem is interested in metallic brains more powerful than ours. Why? Because we have created a series of myths and ideologies, along the historic path of evolution of metal that justify the creation of all types of machines, according to the ethic values of our ‘Technological civilization’, which consider all machines positive to mankind regardless of their lethal use.
The change of paradigm, from a World in which man was the measure of all things, to a world in which the machine and its evolution became the engine of history, can be traced to the discovery of clocks and telescopes that made obsolete human eyes and verbal words, which had been till then our biological senses of space and time. They also brought about the ‘mechanist’ ideology of science that denies an organic Universe, built to the resemblance and likeness of man. Yet, in fact, a mechanism is a simplified organism.
Mechanism, as a philosophy of the Universe, is a simplification of the organic cosmos. Since a mechanism is just a deconstructed organism that has only energy or information organs; while Nature’s organisms are made with both, energetic systems (called bodies in Biology, machines in economics, and fields of forces in matter) and information systems (called heads in Biology,money in economics and atomic particles in matter).
Indeed, the Universe turns out to be dual, based in systems that can handle and switch, in ‘feed-back cycles’, between the arrow of energy and the arrow of information. This is the fundamental law of quantum physics, called the Principle of Complementarity between informative particles and energetic fields (so not single particles or pure fields of energy exist). In Biology it is called the Complementarity between heads/cellular nuclei of information and bodies/cells of energy, or between female, informative, perceptive beings and males, specialized energetic sub-species. Thus, most life systems have genders and all life systems have bodies with heads or cells with informative nuclei. Since heads without bodies or bodies without heads don’t exist as living species, according to the Complementarity Law.
Thus, classic machines need humans to reproduce and act as information or energetic systems, since they are incomplete beings. And so a symbiosis between classic machines and humans exist and it is beneficial to man, because it is based in the human, mental control of machines. Yet that symbiosis no longer holds as machines become, during the IV Cycle of the singularity, organic, autonomous robots which don’t require a human being to work and will be able to consume other machines. So robots compete with humans, as workers=reproducers of machines and consumers that use other machines: Workers in the age of the singularity are becoming obsolete to robots and software systems, in a process that is causing the biggest wave of unemployment since the creation of assembly lines in the 1920s.
Networks of cells of Energy and information, origin of complex superorganisms.
But reproduction is not a simple process, after the orgasm comes the building up of the organism – the creation with a radiation of self-similar forms of a higher, more complex structure, and this is the meaning of evolution, which is truly social evolution, the evolution of A SPECIES INTO A NEW SUPER-ORGANISM, A NEW PLANE OF SOCIAL EXISTENCE:
Thus, systems sciences recognizes as the fundamental evolutionary force of the Universe the survival capacity of groups, which determine an arrow of future that has evolved the organisms of reality from simple atoms into molecules into cells into organisms into societies.
What is an organism of information and energy? A herd of species related by networks of energy and information, that constantly transform energy and process it in a vital way. How individual species organize themselves into complex herds, that biology calls ecosystems or bodies, or organisms? Precisely through those physiological networks, the key to understand any organism, including human social organisms (nations, civilizations).
In the Universe there are many type or such social organisms. Since “energy never dies but eternally transforms itself”, organisms have an enormous variety of species and sizes, depending on what energy they process. What do they all have in common? All organisms are “societies”, organized by networks of Energy and Information.
The former is clearly the case in all the sciences from physics to biology, where a common phenomenon occurs: the existence of parallel groups of beings organized into a single regular formation. Molecules are made up of atoms and electronic networks; economies are made up of humans and machines; 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 system. A tree is a group of leaves, branches, and roots connected by a network of energy (salvia) and information (chemical particles).
Atoms share energy and information between them through electrons who finally shape ð orbitals that create molecules. Molecules grow and become DNA, which controls the cell. Cells then radiate until their density saturates the vital territory of the herd of cells. To improve in such small territory the Information and energy of each cell, the nervous-informative organs, and the energetic, blood organs appear. A new, more complex species -the animal, and the man- is born. Then humans increased in social size, forming a new macrocosm -the macrocosm of History and economics– where a lot of humans and machines organize themselves into societies, through words and digital information. The purpose of this web is to study such organisms; historic organisms (a social organism of humans), and economic ecosystems (a wave of products that interact with human beings), as organic systems; trying to design and improve them, from the perspective of the health of what is best for the survival of man, as the ruling species of that organism.
THE SUPERORGANISM: THE FUNDAMENTAL POINT OF VIEW.
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:
- 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
- The spatial view, and its topological 3 type of organs in space.
- Its temporal view, and its 3 ages in time.
- Its planes of existence, departing from its o-point of view.
- 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.
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).
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
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, ¬Æ, define a wave-motion in time, which in its simplex generator will be hyperbola:
In the graph we can see the simplest TŒ, Time equation or function of existence:
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.
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
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:
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:
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:
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:
In 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.
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:
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
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.
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 DNA, or 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.
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.