-Organic Systems:

“Universal herds can be described as superorganisms of ‘cellular’ species, joine by networks of energy and information

 Abstract -:

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.

What are systems: Organisms or Mechanisms?
Though the purpose of this web is to explain the economical and existential crisis mankind faces at the beginning of the XXI century, in a wider sense it is about 2 different philosophies of the Universe:

—   One is called mechanism. It considers all what exists a machine, including the human being, the Universe and of course machinesmechanism 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 ideologiescapitalism, 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:

In the graph, in system sciences the fundamental concept is a social organism, a herd or group of self-similar forms, which gather together thanks to their capacity to share the same code/language of information and the same energy. Such herds evolve together in complex networks, which survive better than individual particles or cells, acting together as a single group.

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.



3 HUMAN scales best

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

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

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

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

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

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

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

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

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

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

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

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

‘The smallest point is a world in in itself’

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


General systems sciences and organicism.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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



5D best


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.).



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

The interplay of those dimensions and form generate the Universe:

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


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

Œ: Tƒ=K/S.

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

And space is lineal motion seen as still form.

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

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

Thus we could say:

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

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

This means Time fluctuates along 3 points of the hyperbola.

Screen Shot 2015-10-31 at 10.58.01

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

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

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

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

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

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

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

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

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

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



The 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:

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

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

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

Bosons: |-Light and O-Photons.

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

Atomic Organisms: Periodic Table.

3rd Scale:  Inorganic and Organic Molecules

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

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

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

7th Scale: Sp-Stars & Tƒ-Black holes.

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

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

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

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




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.


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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 DNAor a spiral galaxy with a tall black hole and a Halo.

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

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

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

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

Classification of systems and superorganisms by its i-complexity.

best networks

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

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

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

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

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

Sub-varieties with only a ‘few parts’.

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

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

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

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

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

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

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

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

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

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

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

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


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

The program of existence, the will of super organisms.

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

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

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

They are often the products of human construction.

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

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


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

The structure of the main systems and superorganisms of the Universe.

best networks

All Sciences share the laws of duality, systems and organicism. Since the properties of energy and information remain invariant in all the scales of reality. The result is the fractal structure of the Universe,a super-organims made of smaller super-organisms, described in the graph: Each science studies a ‘scale of organic size’, its cellular species of energy and information and its arrows of future time (energetic, informative and reproductive events, which culminate in the self-organization of those parts into social wholes, units of a new scale). In this paper we study the creation and evolution of the economic super-organism ruled by an informative language – money – and composed of metal memes, energetic weapons and organic machines, which interact with the human super-organism, history, made of human cells, verbal languages and natural energy.We define a simplex system as a network of self-similar ‘cells’ of energy or information.We define a complementary system as a dual network of energy and information that interact together. In Nature, by definition, all systems are complementary systems (Complementary principle of physics: all physical entities have a field of energy or force and a particle of information, mass or charge; Duality Principle of Biology: multicellular systems have an informative head and an energetic body, cellular systems have a DNA-informative nucleus and a cytoplasmic body).Finally, we define a complex system as a complementary system, which adds a 3rd, reproductive network, either internal or external to the entity (enzymatic reproduction).Thus all systems are networks of self-similar cells joined by flows of energy and information, and complex systems are those who add a reproductive network.

Let us to that aim, understand first the generic structure of a social organism, or ecosystem, parallel words that we will use constantly as synonymous. In fact there are four basic elements in all organic living systems:

1. Cellular units
2. Networks of energy or vital space
3. Networks of information
4. Networks that reproduce energy and information.

When we find those elements interconnected in a vital relationship, we talk of an “organic system”. We can see such organic systems as “bodies”, when all the cells are very close to each other, or as “ecosystems” of herds, when the cells are far away, and the networks are weak. We should not be cheated by the spatial appearance of the organism.

A herd of machines, a herd of insects, a human group is also an organic system, because it has cells, and networks, even if it does not seem to us a body. The fundamental reason we have not arrived earlier in science till Theory of Organisms, to the conclusion that the universe is made of such organic systems is the lack of relativism, the arrogance of man. Men have a hard time believing that things which are not like us, are able to intelligently process energy and information.

We are also unable to believe easily that microcosms and macrocosms are “species”. Yet an organic perception of macrocosms like galaxies or planets, and an organic perception of microcosms such as cells and atoms, is the most logical way of “unifying” our understanding of the entities of the Universe. We might see those herds very close together in which case we talk of bodies, or we might see them extended with a loose organization; then we talk of waves, societies or herds.

A verbal definition of superorganisms 

A generic definition of an organism or ecosystem will help to clarify what we mean by a “vital universe”, composed of “universal organisms”. Let us take a template for a micro or macrocosmic organism (or ecosystem) that differs only in the specific energy or information we put into brackets. “A universal microcosmic or macrocosmic organism or ecosystem is a population of [name a particular species], related by networks of [name a language or force] information and networks of [name a kind of energy]”. Fill the gaps with a specific species, language/force and energy and you can define any network-organism in the universe:

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

– A molecular organism  is a population of atoms, related by networks of gravitational energy, and networks of electromagnetic information (orbitals, London forces, Van der Waals forces).
– A “galactic organism” is a population of stars, related by networks of gravitational information, and networks of space-time energy. Their morphology is similar to that of an atom, where the nucleus is the black hole, and the stars the electronic orbitals.


– An “animal ecosystem” is a population of carbolife species, related by networks of light information, and networks of life energy (plants, prey).


– A human organism is a population of DNA cells, related by networks of genetic and nervous information and networks of energy-providing blood.


Historic superorganisms

Complexityduality and Systems Science study the laws that define an efficient complex organism in physical space (particle/field systems), biological space (head/body systems) and Social space (informative leadership/working class). The importance of this new social science is that it draws from Nature teachings and so it has a set of laws that allow to design a perfect social organisms.

Indeed, its laws are based in the self-similarity of all complex systems, from galaxies to living beings, which are organized by networks of individual particles – cells, stars, atoms – communicated by flows of energy and information. So happens with human organisms (energetic, blood networks andd informative nervous networks) and social organisms (economical, energetic networks and informative, cultural and legal=political networks).

So we can use the sane definition to define the superorganisms of history and economics:

– A bio-historic organism is a population of humans, related by networks of verbal information and networks of carbolife energy.”


– A bio-economic organism, is a population of human workers/consumers and machines, related by networks of monetary and electronic information, and networks of roads and electric energy

The difference between both type of systems, a historic and an economic organism thus is clear when we consider that the ‘organic unit’ of the economic ecosystem is NOT contrary to belief a nation or civilization but a new organization, appeared recently with the beginning of the Industrial R=evolution, called the company-’mother’ whose function is to reproduce a product, overwhelmingly a machine, and then to evolve further and adapt the world to the existence of those machines, creating networks of energy and information for them (digital networks, electric networks, etc.) And this is the first big surprise of an organic model of history and economics: while History is undoubtedly the product of human endeavors, the economic ecosystem is ruled by company-mothers of machines, which follow a set of biological, evolutionary and organic laws independent of mankind; quite removed from the abstract jargon coined in the XVIII century, even before machines existed by classic economists’ like Mr. Adam Smith.

Both organic systems, Historic and economic organisms, survive within the same vital space, the Earth’s crust. What this means according to Theory of organisms is that there is between both a dual process of symbiotism and preying, by which  sometimes machines compete with men in fields of labor (productivity laws that substitute workers with machines) and fields of war (where weapon-machines kill human beings). We express this with the concept of the Paradox of History.

Complex organisms  

Let us now try an even higher level of complexity in our description of why organisms live and die and what motivates ther behavior.

The fundamental advance of XXI century science is the realization that the Universe is Complex, made of simplex parts that become an organic whole – and those parts are at least 3 in all systems, an informative center or head/particle, a reproductive body that recreates the information of the system and a field of energy or environment in which the system feeds.. And since all systems of the Universe have those 3 elements, complexity applies the same set of basic laws to all disciplines.

complexity in that sense  is not different from classic science, which applies the same mathematical equations to all systems. However in complexity we believe that the Universe and all its parts are NOT modelled as a mechanism, a simplified ‘stage’ in the evolution of machines, but as organisms or parts of organisms (so machines function as enhanced human organs – a chip is a metalbrain, a camera a metal-eye and so on). In that regard, the philosophy of science sponsored by this web, as part of the science of complexity differs strongly from classic economists, which affirm that its discipline is a mathematical science.

The Jewish Physicist, Mr. Gell-mann, discoverer of the quark, lobbyied with the Nobel Prize Committee against an award to Economics. ‘What is next anthropology?’ – he said. The anecdote reflect the main sickness of our mechanist civilization – to despise all what is human, what is social, what is related to life. He calmed down however when he was told that the prize would be given by the Bank of Sweden only to mathematical models of economics. And yet because humans are biological beings and economics describes the activity of man, it must be first a biological science, which can also find patterns and mathematical laws as biology does.

Indeed, in complexity and systems theory we believe that all sciences can be explained with a series of laws that describe the organic structure of reality, made of networks of energy bites and information bits, which interact and evolve together, creating complex-organisms, departing from simple particles, which evolve into atoms, molecules, cells, organisms and societies. It follows that mankind’s goal is to evolve into a planetary organism, Gaia, in which we, human beings are the collective mind. This is the origin of the biological approach to economics and history in this web.

The facts behind Theory of Complexity are thus well known to all scientists: in the universe there is a constant tendency towards organization of individual species into herds. There are herds of atoms called molecules, herds of stars called galaxies, herds of humans called societies of History, or herds of machines called economies… Could we find certain rules and laws that explain all those herds and their behavior? Such is the aim of the Science of Complexity, called also Systems Theory or duality, because unlike ‘mechanicism’, the previous, rather primitive philosophy of the founding fathers of science, the Universe is NOT consideredto be a machine of energy, but a complex system made of dual networks=systems of energy and information.

Thus duality of energy and information, as opposed to ‘energetic monism’, the philosophy of ‘simple’ physicists, and Network or System, are the key words of this science.

And the main definition is that of a super-organism, which in simple terms can be described as:

‘A super-organism is a dual network of energetic and informative particles that constantly exchange energy and information between them:

∑ E <=> ∏ i’

Such simple definition is extremely powerful, because it allows to describe a multiplicity of beings. For example, your body is a cellular system with two main cellular networks of energy and information, which form your body and head.

A society or social organization is also a dual network, with an informative caste that rules and energetic body of workers.

In a closer look though, from one, the organism comes 2, the dual system of energy and information; and from 2 comes 3, a ternary system with 3 type of cells and networks, an energetic system, an informative system and one that combines both to reproduce the organism. And this kind of systems, is what we call a living organism.

Because some systems do not self-reproduce but need an external, reproductive catalyser, we often talk of duality instead of the Ternary principle.

Yet both concepts are equally important in the Universe, and specifically in the economic ecosystem that we study here, since machines are not self-reproductive sytems, hence they are not alive, but humans vitalize them reproducing them, and further on, one of the key elements of the Industrial R=evolution is the increasing self-reproductivity of machines, which is also one of the key ‘ideologies’ of capitalism, the absurd belief hold by companies, in control of most of the systems of power of our societies that humans MUST evove machines NOT mankind.

All this of course can be mathematized, and even though we shall not bring here the mathematics of complexity, we have written in our defintion what we call the ‘Generator equation’ or ‘Feed Back equation’ of complex systems. And it has 3 elements, the first element, ∑ E, describes a network of energetic particles the second element is the reproductive element that combines energy and information to reproduce the cells of the system, <=> and finally the third element is the informative network, ∏ i.

A key difference in those systems is now evident: energetic systems are herds loosely connected, and so we use a summatory system; informative networks are organic, complex networks in which each ‘neuron’ is connected with many other neurons and so the total number of connections is a power law or multiplicative law, reason why we use the symbol of multiplication. This is also the case in our organism (neurons are connected to many others, cells of a body are pegged to each other), and in societies, in which the upper classes of information are much more connected to each other than the individual cells of the mass, which have very few social connections.

This will be the case when we study the superorganisms of history and its upper castes in control of the languages of power of society (money, weapons and the law) who pray over a mass of unconnected, clueless misinformed sheeple. Yet in working societies (real democracies and non-corrupted love religions today mostly extinct) this is not the case – all cells of the body receive energy and information to survive as an efficient organism, since they cannot be obliged to obey with the force of metal but must believe in the wor(l)ds of wisdom of their leaders that cannot impose their will by force.

 complex version: hierarchical i-scalesGS2 : ‘THE UNIVERSE AND ALL ITS PARTS ARE 10DI SUPERORGANISMS’complex version: hierarchical i-scales


1. 10 Di Superorganisms of energetic space and temporal information.

2. The 3×3+1 dimensions of topological, scalar organisms.

3. The 3 dimensions of Time and its life-death order: Past-energy, Present-reproduction and Future-Information.

4. Conclusion: The isomorphisms of the Universe.


The Universe and all its parts, made to the image and likeness of the whole, are ten dimensional Superorganisms of spacetime.

The substances of those Superorganisms are lineal space=energy and cyclical time=information, 2 dual concepts that express the fundamental duality of the Universe between lineal distances/motions and cyclical clocks/forms. The mind perceives in stillness the moving energy of the vacuum as lines of space=distance – the shortest geometry between two points – and the in-form-ation of the Universe carried in the temporal, cyclical clocks and frequencies, traced by vortices of charges and masses, as spherical particles – the geometry, which stores more information in lesser space. Yet the substances of reality are quantum, lineal forces of energy and cyclical vortices of time, which combine to create the ∞ complementary superorganisms of the Universe, all of them made with spherical particle/heads of information sum of multiple time cycles, fields/limbs of energy that move them & waves/bodies that reproduce the system.

As a result of this duality all systems perform only 2 x 2 types of dimensional actions: Individually they absorb Energy for its body/limbs (feeding/motion) and Information for its mind; socially they use their surplus of energy to reproduce its form, (ExI) and they gather in herds around networks of energy and information that distribute efficiently those 2 elements, creating bigger whole superorganisms, fitter to survive than the individual ‘cell’.

The complex sum of all those time cycles and lineal energy motions give birth to the fundamental ‘species’ of the Universe, a 10D superorganism, composed of 3 elements – heads/particles of information that guide limbs/fields of energy, and combine in waves/bodies that reproduce the system – which extend through:

-3 local, organic, finite dimensions of spatial energy: length, the direction of limbs/fields in motion; height the location of informative particles/heads; and its re-product-ive product, width.

Those superorganisms grow through their 3 diffeomorphic dimensions, which enact its 3 organic functions in time, with a temporal order given by the dominance and increase of its information from birth to extinction, in a life-death cycle of 3±i ages:

– i-1->i: Birth in a lower ‘fractal scale of space-time’

– Max. E: Past =youth or ‘energy age’ of maximal lineal motion.

– E=I: Present=steady state maturity, or age of balance between energy and information when the system iterates its form, creating its clonic offspring that makes the Universe both dynamic and immortal=seemingly unchanged.

– Max.I: Future, 3rd age of information, as energy warps into form (forces into masses & charges) till becoming exhausted.

– i->i-1: Death: The system dissolves into its parts, in a big-bang of energy that returns its form back to its cellular scale.

Thus, Universal systems extend through 3 ±i scales of complexity, its i-1 cellular, seminal scale, from where they emerge as individuals to become Relative Fractal, cellular units/points/parts of their bigger i+1 social scale or whole 3×3+i=10 Di superorganism, till death dissolves it back. While from a continuous p.o.v. all those fractal i-scales form a 5th ‘classic’ Dimension.

Thus all life-death cycles are a journey through 3×3±i relative scales of the 5th dimension; defined by a metric equation, Se x Ti=K, such as smaller scales have more information as its time clocks run faster, but their product remains co-invariant, reason why superorganisms of different scales have the same power and lifespan. I.e. insects perceive 10 times faster than humans but live a maximal of 7 years, which insects will perceive as 7 x 10=70 life years of experience, the humans age.

Thus all superorganisms show 5 isomorphisms:

1) Duality of Energy and Information;

2) Ternary, topological, organic dimensions in space;

3) 3±i ages and life-death cycle;

4) 4 actions: Max. E, Max. I, Exi, ∑Ex∏I

5) 3 scales of existence.

General Systems Sciences (abb.GS2) is the science that studies them.




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

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’ (fact and 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 tics 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 3rd paradigm 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(‘Letters to Clarke’). 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.

Such theories cannot satisfy the rational, objective, self-sufficient nature of science, as they require external myths to work. This leaves us only with a 3rd objective, scientific possibility, organicism – a more complex theory that comes of age in this work: if the why is neither God nor the machine, there is only a 3rd option in between – the organism, which is an intermediate concept; since an organism is self-sufficient as God is, yet it is part of Nature as the machine is.

So what systems sciences does, is to bring about a more scientific paradigm, in which everything becomes organic; and so God is not required to build an immortal Universe as in Mechanism. Why people who pretend to be ‘scientists’ still defend mechanism has to do with tradition (the Baconian Idols of the tribe of physics, who initiated modern science without abandoning their biblical beliefs) and with power (machines control the world in our technological civilization – they are the new Gods of mankind; and so they are the ‘role models’ for our philosophy of science – more than with objective scientific epistemology that can only accept as a rational self-contained theory, organicism.


2. A Universe of super-organisms and the 3 jargons of GS2 (systemic, organic and dimensional).

Definition of a 10 Di Super Organism

General Systems Science (abb.GS2)considers that all what exists is part of a whole made to its image and likeness, and that whole is a super-organism of energetic space and temporal information extending in 10 fractal dimensions of space-time in 3 relative scales of size, the ‘cellular’, individual and ‘social scales’. Thus what general systems sciences does is to describe the structure and laws of those super organisms, which is the template of all the systems of Nature, and then apply those laws to understand the ‘scientific super organisms’ of different scales of reality, each one studied by different sciences, from the microscopic scales of quantum physics to the geological and astrophysical scales of the Universe, going through the biological and sociological scales of man. To that aim we need to explain the 3 ‘sub-elements of the ‘fundamental organic system’, template of all what exists, defining:

– What is a system of energetic space and temporal information.

– What is a super-organism.

– And what are the 10 dimensions of all those super-organisms.

Those 3 sub-elements of the ‘fundamental entity of the Universe’ give origin to 3 different jargons, the systemic jargon that explains all as systems of energy and information, the biological jargon that considers all superorganisms, and the mathematical and physical jargon that explains all as fractal, 10 Dimensional Space-time Island-Universes. They are used indistinctly in our texts, since they are 3 equivalent jargons focused in each part of the superorganism:

– The jargon of Systems proper, deals mostly with mechanical systems of energy and information; as it was born with the development of cybernetics, Theory of Information and Computer science. This jargon is obviously the commonest and standing, accepted jargon, preferred due to its abstract nature, easily to use when considering systems of machines or economic systems, without any ‘holistic’ philosophy attached to it. However the scope of this jargon is ‘limited’ and ultimately does not debunk the ‘mechanist’ philosophy of reality proper of our ‘technological civilization’, which we consider erroneous in its ‘first principles’. So this jargon, while being the standard of ‘systems’ sciences as its name indicates and perfectly suited for smaller analysis of systems, sub-systems and mechanical systems, made by human beings, imitating its own biological organs, it is not well suited to studied the ‘Universe as an organic system’ and “Nature’ and its self-created systems. This jargon also considers the existence of isomorphisms – same properties in different systems, without explaining ‘why’ they happen. To that aim we need:

– The jargon of biology that defines the fundamental particle of the Universe as a 10 Dimensional Super organism of energy and information. Because this jargon accepts organicism not as a metaphor or analogy but as the homology from where to extract the hardcore formal, mathematical and logic laws of all systems of the Universe, we consider this jargon to be the ‘truth’ of General Systems sciences. Thus we shall use in our papers mostly the jargon and laws of super organisms, which have been hardly explored due to the lack of a proper formalism to study them; as its description requires new advances in our understanding of the structure of space-time and its ‘scales’ of size and different time speeds. Mainly the understanding that there is not a single space-time continuum but infinite clocks of time that break space into infinite fractal parts; and the equivalence between space and ‘energy’ and time clocks and information, carried in the frequency and form of all the time clocks of the Universe.

– Which leads us to the third jargon, the formal, logic and mathematical jargon of a Universe made of multiple scales of space and multiple, different speeds of time clocks that defines the 10 fractal, relative ‘Dimensions’ of all super organisms. In this formal level is where the most novel advances of this science take place, as we need to evolve our understanding of basic concepts such as space and time, its synonymous concepts of energy and information, the nature of fractal dimensions and fractal scales, etc. To that aim we use new tools of ‘fractal geometry’, non-Euclidean topology, multiple and causal logic to explain the meaning of the 3 dimensions of time, past, present and future – a task developed in our previous conferences on GS2o.

The limits of human inquire in the organic nature of the Universe and the little acceptance of a holistic analysis of reality are due to the poor understanding of the fractal, multiple nature of space and time. Science has preferred due to the lack of formal precision of this more accurate truth, a simplistic, ‘mechanist’, single space-time continuum that facilitates measure. But this is no longer the case with the advances on Non-Euclidean Mathematics and non-Aristotelian Logic of multiple time arrows, developed by this author. As now we have the tools to reach in our organic vision of the Universe the same degree of precision that the simplistic single space-time continuum and mechanist vision of classic science. And so most of the novelties on hard science of these papers0 are found in the analysis of the ‘last sentence’ of our definition of a super organism or ‘system’ of energy and information, the understanding of what ‘dimensions of space and time’ are, and why super organisms are systems of 10 dimensions.


Recap. Any theory of science that pretends to describe the ‘whole’ must have a sound philosophy behind – which in the case of General Systems Sciences is the fact that the Universe to be self-sufficient, without an external maker, must be an organism – and a formal model of its philosophical statements that translates into mathematical and logical equations its description of its ‘fundamental particle/model’. Such finding of a complex formalism to describe the organic properties of the Universe and its parts has been in fact, the main problem of General Systems Sciences. And so this formal model is what we are introducing in our papers, in a series of conferences at ISSS0. The systemic jargon is a ‘first step’ of depth in the understanding of the organic paradigm of the Universe. It is useful when we deal with scientists accustomed to ‘abstract descriptions’. For example, talking of mechanical systems we prefer the ‘systemic jargon’, as cybernetic and computer scientists do. If we talk of physical systems we prefer the dimensional jargon. But the more detailed, ‘real jargon’ is the one of superorganisms. So in this paper shall switch to the biological jargon of superorganisms to reach further knowledge of the structure of those universal systems. Thus we define the Universe as a superorganism of energetic space and temporal information extended in 3 scales of space-time with a total of 3 x 3 Dimensions of space that make the 10th Dimension or Whole superorganism. And we explain such superorganisms with the jargon of systems sciences and theory of information, with the jargon of biology and theory of superorganisms and with the jargon of mathematics, logic and space-time physics to better understand the 10 dimensions of those superorganisms and its fractal, scalar structure in space and time.


4. Systems of energetic space and Temporal Information

General Systems Theory (abb.GS2) studies the common laws of all the superorganisms of energy and information of the Universe. So to understand those 2 primary components is the first step to understand a superorganism:

– Es, Se: By energetic space we mean both space and energy, considered the same reality. The difference between both concepts is perceptive. The mind fixes and sees the ∞ lineal, planar motions or ‘energy’ that fill vacuum space – being motion, the ultimate substance of reality – as static space, distance and size. The mind maps a ‘continuous’, static perception of all the infinite quanta of moving energies of the vacuum and puts it together. Thus Space= ∑Vacuum Energies. As space distances and speed motions mean the same. So astronomers say that the space of the Universe is ‘expanding’ or that galaxies are moving away at hyper luminal speeds (Z>c). This will be truth in any ‘relative’ fractal scale of ‘motions that occupy space’ and the mind sees as a continuous. So a biological, vital space is seen as an ‘individual’, while it is merely the sum of infinite circadian cycles and flows of carbon-life dissolved in water. Thus we shall call both together ‘Energetic Space’ as ‘Energy’, meaning ‘a sum of lineal motions’, is the truth that a single space-continuum simplifies.

– To,Ti: Temporal information: In the same manner, Time clocks – cyclical motions – and information – the static forms of those time clocks perceived by the mind – are the same concept. The mind again ‘simplifies’ to fit in its limited space, all the time clocks of the Universe into ‘forms’. Cyclical time, measured by the frequency of its cycles, is the inverse of ‘duration’: T=1/ƒ. And it has the same unit of measure that a bit of information; a ‘hertz’ or unit of frequency, which is completed in any system when a clock cycle is closed. Thus, the faster any biological or physical time-clock turns, the more informative hertz-cycles it can store, (right side of graph). As it happens in computers, which are basically a complex system of time clocks, whose logic forms process in-form-ation. Thus we can consider the total time of the Universe, a sum of all its time clocks and informative cycles; T=∏I, and talk of temporal information (and energetic space) as the real two motions/substances/forms/arrows of the Universe.

We call this fact of ‘Endophysics’ the Galilean Paradox, as we humans perceive the Earth ‘quiet’, as space, when it is moving as a mass of rotating clocks. The Galilean Paradox is essential to understand the Universe as fixed lines are also lineal motions and bits of information are time clocks. And one can transform into the other: Es<=>To.

Only then, when we realize that energy and space are the same and time and information are also the same, we can come the conclusion that we are NOT placed in an abstract space-time continuum, but the Universe is a puzzle of entities made of energetic space/lineal motions and clocks of information/cyclical motions, which combine to create infinite complementary systems of ‘vital energetic space and informative time-clocks’


Something quantum physics acknowledges in its fundamental formula, ExI=K, which we write properly as Es x To = K: Energetic Space x Temporal information combine to become an action of energy and time; and we all are a sum of actions of energy and time – balanced, stable, constant Systems of energy and information. So we say I don’t have enough energy and time (our substances) to do this.

Thus ∑Es x ∏Ti=k is the fundamental equation of the Universe that defines all systems as a sum of energy quanta and information bits/clocks (∑, ∏ being the operators that aggregate quanta of energy into vital spaces and bits of information into networks). And this ‘simplex’ equation explains all systems of the Universe, made of ‘particles and waves’ (Physical systems, complementarity principle) or ‘heads/nuclei’ and ‘bodies’ (biological systems).

The formal and functional properties of Energy and Information and its combined body/waves.

Let us consider the properties of those 2+1 systems, energy systems (limbs, fields), information systems (particles, heads) and its reproductive waves and bodies that combine its properties and some of its subspecies:

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 summarize the formal & functional differences between energy vs. information (organs) in a morphologic equation:

Maximal Space = Energy = Minimal Form=Limbs Vs

Maximal form = Information = Minimal Spatial extension=heads

E=I: Balance between both, ‘Reproductive, iterative, ‘present’ Bodies’.

Those properties are common to every ‘particular’ system’s organ. Information is smaller and processes ‘time cycles and logic paths faster’. For example, the chip becomes smaller as it evolves into a better brain that processes information faster. Every 2 years it doubles its capacity to think, as it dwindles in size. But black holes that turn faster and carry more information in the frequency of its cycles are also smaller than stars. Thus the morphology of heads of information 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) & information (brains, eyes, senses, words), but all beings, even ‘deconstructed organs’. Since we can recognize geometrically their energy or information organs. Some of those systems are mechanical, made of metal. Some are vital, made of carbon atoms. Some are physical, geological. Yet all of them have a biologic influence over us, provoking changes in the energy & information systems of mankind that we should control for our own benefit.

Human sages have intuitively understood that duality. I.e.: Descartes said all was made of space or res extensa and cyclical vortices – charges and masses that act as clocks and carry the information of the universe. And he was right.

Eastern religions also understood the dual game of creation, as all is yang, Shiva, energy and yin, information, Vishnu that combine together, exi, to create the ∞ beings in existence (quoting the 1st verses of ‘Tao Te King’).

All species, sciences, religions and arts play a Game of creation, which is a logic-mathematical function: to Exi=st. That is, to combine energy & information (exi), creating constant, stable superorganisms of space-time (st).

Yet the function exi is maximized when E=I (5×5>6×4…). Thus a top predator superorganism, one that survives better is one that maximizes the balance between body and head, mens sana in corpore sanum: Max. Exi (e=i). And this is the goal of existence of all systems of the Universe, which survive and we see as ‘superior forms’. Indeed, it is the classic definition of beauty in art, as a balance of spatial size and form: harmony and proportionality. It is the ‘mature age’ that lasts longer, after the young age of energy, before the 3rd age of ‘excessive form’, when systems reproduce.

It is thus essential to understand the properties and balances of energy and information, departing from its simplest mathematical and logic equations that combine its perfect forms, the line of motion or shortest distance between two points, and the cycle or shape with maximal ‘form’ in minimal space, origin of all other ‘conic shapes’ of reality, as they are the ‘ultimate’ essence of the detailed properties of each complex superorganism of spatial energy & temporal form.

It is also important to grasp the ‘general’ meaning and parallelisms of jargons described those 2 elements, as they change slightly from scale to scale and its forms change as they become more complex, with ‘more dimensions’ and extend through more ‘scales’; but even then they maintain its equivalent forms and functions. Information is ‘dimensional form’ and Energy lineal motion. And so its two most perfect shapes are the line and cycle in 1 and 2 dimensions. And yet whe we grow in dimensions we find the 2D plane and the 3D sphere, the geometry, which stores maximal form in minimal space, in which again information has one dimension more than energy.

So heads, particles, cameras and black holes are spherical and small in space but store a lot of information in its ‘dimensional’ curves. Energy or motion is ‘lineal distance’, displacement, and the line is the shortest distance in space, so bodies, fields of energy, planes, cars and galactic planes are ‘planar spaces’ to maximize motion.

Further on, all those systems tend to occupy the 3 different dimensions of their local space-time. Since heads perceive better from a projective geometry on top of the system, the height dimension is the dimension of information. And so all systems guided by the dominant mind-informative dimension evolve in height, from physical systems (planar Universe and planar irregular galaxies evolved by tall black holes of gravitational information into spherical and high dimensions) to life, from individuals (kids who rise to walk), to species, (from planarian worms to men, from reptiles to birds):

Then the dimension of motion is length as it is the lineal motion on the surface of energy the system feeds. And finally its combined exi, reproductive dimension is the width dimension of its diffeomorphic space-time. Those dimensions are obviously local and so they can be even inverted according to what is energy for each species. So animals, which receive information from light vs. plants who receive energy from light and information from chemical roots have their dimensions inverted: the head of the plant is under the ground, and the animal has it above to ‘see’ light. And light itself has the electric dimension of information, its height, the magnetic dimension of energy, its length, and the c-dimension of reproduction of its wave, its width, which eyes see as length. The global 3 dimensions of the Universe are the puzzle sum of all those entities moving with its 3 local dimensions.

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.

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. The functions of those ‘systems’ are also biologic: 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. Yet Mechanism affirms that machines are objects that do not influence or compete with humanity. So, if some ‘collateral effect’ happens, it must be blamed on humans (in that regard organicism changes radically the meaning of the industrial evolution of machines and the relationships of symbiosis and predation between man and machine->see last chapter of this paper).

We shall use therefore as synonymous, Energy, Space and lineal motion, Es, Se, E, S, |, and Cyclical Time, Information, cyclical motion, To, Ti, I, T and write the ‘Universal equation’ accordingly: EsóTi, EóI, SxT, EsxTo etc. Since using synonymous will help the reader to ‘change its chip’, its way of thought from ‘lineal logic; in which A is always A and only A to think in parallel, and see the unity of all forms underlying its ‘appearance’. To that aim he must also change its ‘scientific mind’ from ‘geo-metric, exact measure’ to ‘topological variations’, where motion and form go together and slight variations do not change the topology of the being. And we will return to that.

Energetic Limbs, Reproductive Body/Waves & informative heads/particles.

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:

—  Es: Energy organs, fields or limbs 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’.

—  Ti: In-form-ative organs create form and trans-form the clocks of the Universe into forms of languages that map out the ‘reality of time cycles’ performed by all the entities of the ecosystem, in which the species exists, into 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’, anticipating the ‘future’ cycles of reality. 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. And they dominate, control, guide & shape the future of the system.

—  Reproductive organs repeat the 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 body, reproductive system might not be though part of the ‘integral system’. We observe, most often a ‘mother’ in a bigger scale (stars for atoms, corporations for machines, mothers for semen) or an external reproductive system (enzymatic reproduction), as in the case of human factories, carbohydrates or atoms in stars. In those cases we will see ONLY the limbic/head, energetic/temporal systems.

But there is always somewhere a 3rd reproductive system, or else the organism will not survive beyond death.

Let us resume some of this ‘dual’ or ‘ternary’ systems of energy and information:

– Physical systems are made of particle with clocks of information and waves that feed on fields of lineal motion.

In physics quantum theory is a detailed analysis of reality and its minimal parts, as opposed to Relativity that uses a general, simplified view of a single space-time continuum, as it is concerned with the study of the ‘whole’ Universe, a superorganism whose ‘whole’ spacetime is the sum of all its parts. Yet in the more detailed version, quantum physicists concluded that Physical systems are always made with a wave that absorbs energy & a particle or clock of temporal information and one cannot exist without the other (complementary principle of quantum physics).

Further on physical systems can be described according to the duality of the Galilean Paradox (all can be seen in motion or stillness) as composed of solid particles, charges or masses absorbing fields of lineal energy seen as extended space, or we can see them dynamically, as a vortex, a cyclical Eddie, which absorbs the motion=energy of a flow of gravitational or electromagnetic forces that falls into the mass or charge vortex. Then all what we see is a cyclical motion, the mass or charge, and a lineal motion, the field falling into it. And this is indeed closer to reality – a Universe in perpetual motion, where energy and information are two type of motions combining and reproducing by the mere act of continuing their motions, creating the infinite shapes of the vital Universe.

6.einstein mass

In the graph, we can see the classic, material vision of a particle or mass as a solid form which creates a curvature in space that makes fields to fall into the mass or charge, or we can consider the systemic view of a pure cyclical motion, hence a clock of time, with a frequency of cyclical motion that carries in its patterns the information of the universe.

Easily proved mathematically combining quantum and relativity equations: E=hv, E=mc2->m=hv/c2=K(h/c2)v. Thus mass attraction is directly proportional to the v-frequency of the vortex, as in hurricanes or eddies. Masses and charges thus are eddies of forces which turn with a frequency that defines the information of the Universe, acting as the simplest clocks of cyclical, informative time, whose acceleration or frequency of angular speed, w, is in fact the meaning of mass (Principle of equivalence between acceleration and mass of Einstein’s general relativity). They are time that curves the lineal speed of a gravitational or electromagnetic field that sinks into the mass or charge, becoming transformed into a magnetic, electric or gravitational field (‘Time curves space into masses’ said Einstein). And the physical system is a delicate balance of infinite broken, cyclical and lineal motion defines then the Universe.

Ultimately what we describe as fields of energy and particles of time is what Newton said the Universe was made of: Forces of Reality= Mass (cyclical clocks) x Acceleration (lineal motions): F=ma.

That is, the universe is made of vortices of mass or charges, cyclic acceleration and lineal forces, lineal accelerations: Descartes said all could be described as vortices, matter and ‘res extensa’, vacuum. So this ultimate duality is the first dynamic structure of the Universe that switches on and off between both states: M(Ti)<->Es.

Biological beings are made with a head of information and a body that processes energy and moves it – or in cellular organisms, with a nucleus of DNA-information and a cytoplasm body that moves it.

Mechanic systems, robots, made by imitation of man’s organs, re=produced in company-mothers, have chip-brains attached to camera-eyes that process information with body-platforms that move with a field of electric energy.

Sociological systems are divided into networks of upper class cells/citizens who control the languages of information of society and its working, body class that reproduces the goods the social body needs, using the energy of the Earth.

Each of those systems will process information with a different network of logic or mathematical paths, through particles, genes, chips or brains, attached to a re=productive body that will repeat the elements and cycles of existence of the system, and a limbic, moving platform that will use different types of ‘energetic space’ to displace it.

In the jargon of physics we talk of clocks of cyclical time – charges and masses – that carry in their frequency the information of the Universe; reproduce that information with its body, waves and move using the energy of its fields of force. In biology we talk of heads, brains and cellular nuclei that process information, reproduce it with their bodies and cytoplasm, using the gravitational fields of the Earth and its water and air currents as the energy of its motions. All those systems obey certain laws derived of the nature of energy and information, the 2 formal motions whose interactions cause the game of creation and extinction of living superorganisms, which makes up universe.


5. The 3 dimensions of time, and its metrics: entropy-past, balanced presents and information-future.

The ultimate ‘substances’ of reality are lineal motions (or energy-space), which has 3 ‘dynamic’ states, as ‘acceleration’ (entropy growth or 6th dimension), ‘deceleration’ (growth of form, or 5th dimension) and constant speed, (lineal motion or ‘energy-space’ in a static 4th dimension of time). And Cyclical motions (or time-information) which has also 3 ‘dynamic’ states, as acceleration (increase speed of vortices that diminish in size and increase its rate of processing information as in chips or black holes), or 5th dimension, deceleration (expansion in space and slow down) or 6th dimension and static form (in a relative present 4th dimension of time).

Those are basic concepts to understand the Universe in terms of dimensions of space and time, its motions and life-death processes in the infinite ‘fractal space-times’ of which we are all made. And the fundamental property to observe is the inverse complementarity of those 2 formal motions, energy-space and time-information, which is the fundamental law that structures all the systems of reality in a tug-of-war between both tendencies, which ultimately always end in a zero sum such as 5th + 6th arrows of space-time (information + entropy) = Static present.

We shall then generally put together those 3 arrows and dimensions of time under the co-invariance of their product, which defines the metrics of the 4th -5th-6th Time dimensions: Se x Ti = K.

This equation will become the essential equation of the Universe. As it resumes the 3 ‘dimensions of time’ and hence the 3 dimensions of present-space, a slice of the total flow of time of the Universe:

Present: Se x Ti = K (an instantaneous derivative of the flow of time, expressed in Galileo’s relativity: V=s/t and its complex einsteinian version).

Past-energy-youth arrow/dimension/age of time: ∆Se x ‡Ti = K (entropy arrow, or 6th dimension)

Future-information-3rd age/dimension of time: ∆ Ti x ‡ Se = K (information arrow or 5th dimension),

Now the choice of the ‘number’ of ‘dimensions’ of time, is relative. I have used in different papers different numbers, but in this paper, as the 4th present dimension is a convention of classic physics, I give the 5th dominant arrow of time – information the 5th dimension and the opposite arrow of entropy the 6th dimension, and establish a dominant 5th dimension arrow and ‘metrics’, such as systems that grow in spatial size decelerate in informative, time speed and vice versa, systems that increase in temporal information diminish in size (chip black hole paradox). But the longer, dominant arrow of time is ‘the 5th dimension’ or life arrow, as death, the energy-entropy arrow lasts an instant of time, and ‘present’ 4th D-arrow is just an instant of the total flow of time. So we tend to use the concept of the 5th Dimension or flow of information as the total ‘time flow’ of the Universe, and in fact in many complex analysis we can ‘eliminate’ the 4th instant of present and the 6th death, instant, and study time as a 5th informative arrow.

So we could say that General Physical Systems Theory, basically has an opposite view of the Universe to that of classic physics that concentrates in the analysis of spatial, entropy motions and makes time a ‘derivative’ of space parameters, considering only the 4th Dimension of present, by turning the whole conceptual frame upside down, and studying the Universe from the perspective of information and time, making ‘space’ a parameter or present dimension of time flows. And considering in greater detail the dominant 5th Dimension of information; so it illuminates reality from a complementary perspective to that of classic physics.

Thus ‘the 3 dimensions of time’ are past, energy, spatial size; future, which increases the speed of temporal clocks that carry the information of the Universe in the frequency of its cycles and its complementary present , balanced actions of energy and time, and its metrics Se x Ti = K’.

We shall indeed observe that most laws of Nature are particular cases of all those dualities resumed in the Co-invariance of Se x Ti = k present systems shown in its constant balances (being Universal constants and vital constants the expression in physical and biological space-time of those balances).

But we have to make some key adjustments to ‘lineal physics’. For example, the concept of cyclical time or information is the inverse parameter of lineal time or duration, Td =1/To, which physicists write as T=1/ƒ. Thus what we call here cyclical time is in physical equations, ‘frequency’ of information showing indeed why cyclical time clocks carry the information of the Universe. And so many laws of physics now become ‘enlightened’ in their conceptual comprehension by merely substituting Time duration by frequency and observing them as by-products of the metrics of the 5th-6th dimensions of time (abb. ‘metrics of 5th dimension, as information is the long-lasting dimension of time).

For example, physicists write: S/T=V (constant speed), And so we write S x ƒ(v)=K, which is the clearest expression of the metrics of ‘time-space’ for one-dimensional systems (we again write time-space, not space-time, as GPST, considers time and information dominant, so we also talk of 5th Dimensional metrics as the 5th dimension of flows of information dominates and in a certain way encloses the 4th, present and 6th past dimension).

And we write E=M(t)c2 or E/M(t)=C2 as the commonest physical expression of the ‘metrics of the 5th dimension’ for bidimensional systems, since a mass is a bidimensional clock of time, in physical space.

And we write Entropy (E) x Charge (T)= K3 for tridimensional systems of physical space-time – our Universe.

As such, space-time systems always relate those 2 ‘inverse’ parameters, which balance each other: SexTi=K.

6. The metrics of fractal, scalar space-time (Abb. The metrics of the 5th, dominant, informative dimension.)


5d metrics best

According to Klein’s definition, ‘a Geometry is the study of the invariant properties of a space(time), under transformations within itself’ (Erlangen Program). Thus, the Geometry of the 5th dimension studies the invariant properties of such space-time, as we move within it, expressed in formal equations (the metrics of the 5th dimension) and logic laws that define those invariant properties: Se x Ti=K.

Most systems of the Universe, ‘seeing’ in present are balanced co-invariances of both parameters, SexTi, together. And dynamically they show how space and time are intertwined: when systems grow in spatial size the speed of its clocks, its ‘time cycles’, diminishes proportionally, both in biological and physical systems. As we grow in space, time clocks tick slower and vice versa: as we become smaller the time cycles of all species, which carry their in-form-ation in their form and frequency, tic faster and the frequency of information processing accelerates, as it happens in chips, particles or life metabolism.

Yet, in any interconnected system, including the Universe as a whole, the product of the speed of time, Ti, which determines the quantity of information the system can process and its spatial size, Se, remains invariant.

Thus ‘5D’s metric equations’ (we abbreviate the 3 dimensions and total metrics of cyclical time, past-death, present and future information with the expression, 5th Dimension related to the dominant, lasting future time), show in any Universal system how variations in spatial size are balanced by a parallel inverse diminution or increase on the speed of time clocks and information we observe. That is, the product of the spatial energy, Se, and Temporal Information, Ti of any system remains constant: Se x Ti = K.

The graph shows in 3 scales (cosmic, human and atomic space-time) the co-invariance of the 5th dimension:

The clock-like cycles of matter, planetoids, planets, stars and galaxies, become slower as we grow in size and vice versa: the clocks of smaller molecules, atoms and particles becomes faster, as we shrink. So Mercury turns faster than Pluto according to Kepler’s 3rd Law, and any clock-like vortex turns faster the smaller it is, according to the vortex equation: VoxRo=K. Since Kepler’s 3rd Law and any physical vortex are particular cases of the metrics of the 5th dimension. As the laws of invariance of momentums that combine both parameters are.

The same time acceleration happens in living systems. Small animals have faster metabolisms and cells reproduce daily while their organisms reproduce once a year. Even machines follow this co-invariance: A computer processes information faster the smaller it is, as its ‘clock-cycles’ measured in Hertzs increase. So today we have nano-chips that process information at many Giga-hertzs per second.

This happens because a 5D vortex of temporal information is NOT a fixed physical, spatial form, but it exists dynamically through time; even though it can be perceived statically in space as in the case of a physical time-clock, mass or charge that appears according to the aforementioned paradox of Galileo as a fixed substance or particle. And this fact is of enormous importance for the algebraic analysis of the 5th dimension, as it allows to generalize the laws of those accelerating vortices of information and apply them to explain biological evolution and the constant increase of information of living systems that warp with ‘age’, become more ‘intelligent’ species, or as our civilization does, constantly increase their technological complexity.

There are Infinite clocks of time, hence infinite spaces, some of which are illustrated in the graph. What is then the total reality? Another concept, which we cannot explore in detail is ‘endophysics’, the fact that the brain selects from all the information and motions of the Universe a quantity of space-time, energy-information relevant to its brain. So for example, information is bidimensional because the brain only sees ‘2D pictures’ (put together with stroboscopic vision into holographies of 3 dimensions). Thus it kills the 3rd dimension of space, the inner ‘parts’ of each being, observed only in its external membrane, and most of the motions of reality.

Thus the total 6 D Universe is much richer in energy and time cycles that what we perceive. Endophysics is thus essential to go even beyond what this paper goes and sometimes we shall bring some elements of the mind’s deformation of the Universe. But we are still humans and so when we try to do science we are limited to our senses and instruments. That is why we are not trying to study a space-time based in minds of smells but one which goes merely further in our visual understanding of reality, albeit now considering also ‘the fringes’ of our universe (the strong force and gravitational force worlds of the inner atom and the outer intergalactic space, we do not see) and specially considering the infinite clocks of time of our Universe, instead of a single human mechanical clock to measure all those different time speeds.

Information is a still picture of those time cycles. Thus since the mind ‘understands’ information, it always fixes reality, from its fixed, central point of view, which becomes its world or ‘informative truth’ that doesn’t change. But while man is the center of his world, science evolves by widening its p.o.v. about space beyond the Earth, and about time, beyond the single speed of our mechanical clocks; finally accepting in this work ∞ scales of space size and time speed.

In classic physics, this was done first with the ‘Earth’ as the center of the Universe (Ptolemy’s model); then with the sun as the center (Copernicus model) and then in a little understood expansion of the relative center, with the c-speed of our membrane of vacuum space as the still center (Einsteinian Postulate of fixed light speed in relativity). So the light-rod became the relative still center of the Universe, and this ‘spatial-energetic’ vacuum rod is today in physics, the ‘fixed point of view’ that allow us to make all type of measures. But while this ‘convention’ is excellent to make measures of physics in the galaxy, where indeed, vacuum space is a background radiation of light, it introduces many errors when we study ‘regions’ where light-speed is not constant or it is not the ‘fundamental’ form of vacuum space.

This is the case of intergalactic space-time, dominated by gravitational dark energy-space. Or inside the nuclei of atoms dominated by strong forces. It is also a ‘convention’ proper of the human mind, since our mind perceives electronic information and electrons ‘stop’ emit light and ‘go’. So light is always emitted in ‘stop’ positions.

Hence when Michelson measured the light speed with electronic instruments obviously it found it always constant as the ‘stop electron’ that emits information and the ‘stop’ electron that perceives it were in relative stop motion to each other. But if we choose the ‘gravitational’ scale of space-time over which ‘light and electrons’ float, such gravitational mind would see light speeds varying as probably quarks and black holes do. So we must understand the relativity of all ‘fixed minds of space-time perception’ even though we can only work with our electronic mind. I bring those facts in this paper so the reader understands the space-time light-vacuum continuum of Relativity is a convention useful for its mind, but we are going to use here a ‘wider’ fixed point of view, the previously explained co-invariance of the 5th Dimension (the past-present-future time arrows, and its Se x Ti = K coinvariance).

This is then the still point of view of the 5th dimension which ads all possible space scales of the Universe and all possible time clocks and speeds and so it allow us to study many more phenomena, than Einstein’s C-rod.

In that regard, while knowledge is always relative, something must be ‘still’ still to make ‘information’ focused.

Our rod though is wider and so as Einstein’s rod was wider than Copernicus, encompassing all the galaxy space-time, since in all universal systems, the product of the information and size of the system does not vary this dual invariance or co-invariance, Se x Ti =K is what defines the geometry and laws of all the scales of space-time of the Universe, including the gravitational, quantum and strong force scales, and all the arrows of space-time of the universe, including the arrow of information (5th dimension proper) the present arrow of ‘simultaneous light-space measures’ or 4th dimension of relativity and the 6th dimension of past-entropy-energy. In this simple form, thus the ‘metrics of the 5th dimension’ are the equivalent to Einstein’s metrics of the 4th dimension – the famous S – (ct)2 equation:

In the graph we illustrate that co-invariance. And so now we must define the 2 elements of the 5th dimension – the multiple clocks of time and scales of space that co-exist in every part of reality.

The image, taken from a film called ‘powers of ten’ by Eames, show this astounding fact: the speed of time-clocks, Ti, which are anything that ticks and turns, multiplied by the size of the space they occupy, Se, is constant, Se x Ti =K. And this fact allows the camera to travel through the 5th dimension by shrinking or enlarging your size, with the result that if you see the film you will NOT distinguish your travel outwards, growing in size in the 5th dimension from a normal travel in the 4th dimension, without changing scale of size or speed of clocks (we have added in our pictures the change in time speed, ti, which Eames did not know).

Each ‘family of species’ and relative scale of the Universe has a different SexTi=K equation, giving birth to the ∞ variety of Universal species. Such equation however becomes in a Universe in which we are made of spatial energy and temporal information, the most important equation of each species. And within that species remains mostly invariant. The same happens between all the derived species of that relative membrane of space-time.

The use of infinite clocks to measure time rhythms in the Universe is a theory of multiple spaces-times, whose parameters of Temporal Information and Spatial energy, surprisingly enough follow a simple mathematical law, Se x Ti = K, from where the order and structure of all the parts of the Universe can be deduced.

In the graph, different scales of the 5th dimension; the ‘real’ infinite quanta of spatial energy and bits of temporal information of the Universe, and 3 complementary systems, Se x Ti, made of ‘energetic bodies/fields’ and informative ‘particles/heads’ from physical sciences (a light field-photon particle), from biological sciences (a human body-eye system) and from economic sciences (a weapon-camera system).

Since the Universe is a fractal of infinite complementary systems, made of energy and information, whose ‘common’ properties is the field of study of the 5th dimension.

Let us resume a few basic errors of physics provoked by the ignorance of the informative arrow of the Universe:

– Masses are natural vortices of time clocks of the gravitational scale and do NOT need a Higgs, which is merely a particle involved in the weak force that transfers information between both scales.

– The scalar universe is immortal. The 2nd law of entropy applies only to the energetic expansive force of electromagnetic light-space but i+1 gravitation is an informative=attractive force that balances the cosmos.

– The impossibility of a machine of continuous movement only applies to heat processes that include the ‘molecular parameter’ of temperature, but the entire universe is a perpetual machine of 2 motions, E>I, I<E.

– Black holes don’t evaporate and there is not paradox of information. They are doors between 2 sheets of electromagnetism and gravitation, which transform our electromagnetic space into mass, evaporating our world into the gravitational world and not vice versa as Hawking believes  – reason why we never saw one evaporating.

– The Universe neither grows nor it shrinks. Gravitation, which dominates galactic vortices implodes energy into mass and electromagnetism expands mass into energy: E=Mc2+M=E/cbecomes then a zero sum of implosions and explosions, beats of E<=>I, which together balance the total Universe.

– Negantropy is a real arrow that reproduces fractal information, which Mehaute proved to happen always, when entropy no longer acts, as both arrows are inverted.

All this said 4 fundamental conclusions of 5D metrics that change completely our perception of reality are:

– The Universe is eternal, made of 2 motions in perpetual exchange, NOT of substances.

– Since the metrics of 5D for the whole space-time Universe are the same than the equation which defines the 2 parts of any system, we conclude that we do NOT exist over an independent space-time but we are made of space and time, each of us is a complex system made of bits of temporal information, of circadian or physical clocks & surfaces of vital space imprinted in form by those cyclical in-form-ations.

In physical systems all scales and particles are background dependent, constructed with pieces of spatial energy and temporal information, starting with the smallest theoretical scale of background dependent, lineal, open strings which are rods of Planck’s space and cyclical, closed strings which are the tiniest Planck’s time-clocks.

– Since all systems are made of Se and Ti, 5D invariances and laws apply to all systems of the Universe, creating a pantheist Universe, a fractal of its Fundamental Particle, the Complementary Systems, SexTi=k.

– All complementary entities displace a particle/head that gauge information over an energy body/field directing its actions: Motions With Form.

7. The scales of the Universe.

time dim ension

An essential element of the Universe which physics reject with its ‘primitive’, abstract, mechanist view of reality is the organic purpose of its systems. Physics was born with the use of sensorial machines (eye-telescopes and clocks that substituted in the measure of space and time our organic eyes and verbal time dimensions of past-present and future tenses). Thus the machine became the model of the Universe and Kepler said God had waited 5000 (biblical years) to find a mind that understood its clock-work. Only Leibniz replied that this was more of the same religious view, as a machine MUST be constructed by an external God. This didn’t bother the pious believers of physics then – Newton dedicated more time to biblical studies than physics. It should bother though modern physicists. The alternative is GS2 – organicism.

The Universe structures itself into complex systems by assembling its parts, through networks of energy and information into bigger wholes, creating new scales of space-time. We are all made of space-time as super organisms of smaller cellular, molecular and atomic super organisms, all of them connected by two networks – one of energy and one of information. But this structure allow us to describe also the working of galaxies, similar to that of cells, also connected with a network of energy – the electromagnetic network of stars, and information, the gravitational force that informs it; and two species, the ‘gravitational DNA’ (black holes, dark matter) and the ‘energetic stars’ that reproduce the matter of the galaxy – its ribosome. This organic description of reality as a self-repetitive fractal that structures itself into super-organisms of course does not invalidate the mathematical description of it. Both type of properties – spatial, mathematical, topological and biological, social, organic, network based – are needed to fully grasp both the mathematical how and the organic why of reality.

In the graph, the scales of the Universe, its 3 time dimensions of evolution of information and their sciences.

In the graph, we have written the two arrows of space-time, slow energy and fast information as past and future, and the human time speed as our relative present. Those scales are indeed the origin of the causal order between past, present and future and their life-death cycles in time.

Further one, in the complex models of GS2 it is essential to understand how different scales interact with each other in the 3 dimensions of time and space. Indeed, a question never wondered, of enormous importance to explain the structure of the Universe is the relationship between those scales, the smaller ones that sustain the creation of the larger structures. Do they exist in the same ‘time moment’? Or do the simpler scales – let us say the particles traced in the vacuum – appear earlier and sustain in a pyramidal constant construction the larger scales. Are we constantly drawn with ‘formal motions’ in an architectural design? That is indeed the case.

The simpler scales of that pyramid are NOT figuratively but really in the past. Because the Universe constructs a physical system literally by in-forming and molding the simpler Universe into new forms, ‘brick by brick’.

This fact resolves the ‘Paradox of Motion’, understood since Zenon. In a continuous Universe motion is impossible, And indeed there is no motion. Motion is reproduction of a movement that like a light-wave in the vacuum imprints and forms the previous scale; and then again, electrons are printed as ‘a fractal nebulae’ in the previous light scale and molecules are formed as complex motions drawn on the previous scale. When a gas cloud moves, it does not move so much as it ‘draws its motions’ in a lower scale space-time. Motion is really reproduction of information. And for that reason the ‘speed’ of systems slows down as we go upwards in those scales (more motions must be drawn).

So the wave of atomic forms rebuilds first a string world of open string motions and closed string clocks that builds then bosonic light that collapses into atomic particles that draw again a molecular orbital.

Thus if you are so simple as light is and only have to inform and draw a light beam you move very fast, but if you are very complex and you have to draw all your information you go slower. And because the next scale is built upon the previous one, the previous one is in the past. Hence the arrow of information is in the future literally. When your cells, displaced a quanta of time to the past, build you as a ‘whole’, those cells, whose life cycles are back into the past, sustain you and draw you in their relative future.

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 i-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 metrics and 4D metrics 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.

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=∆i, to classify all those relative scales of spatial energy & temporal information, each one studied by a science that in the 2nd part of this work we analyze with the metrics and invariances of the 5th Dimension. While in parallel, we can also establish a relative i-scale to study Living Systems and the Human World. Thus the main |-energy and 0-clocks of time of each scale for physical and biologic worlds is:

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

2nd Scale:  Bosons: |-Light and O-Photons.

3rd d Scale: Fermions: |-Electrons & O-quarks.

4th Scale: Atomic Organisms: Periodic Table.

5th Scale:  Inorganic and Organic Molecules

6th Scale; Life Cells. States of Mater: Energetic Gas, ExI Liquid and Informative Solids.

7th Scale. Life organisms; Energetic Plants; Informative Animals. Organic Metal-Machines

8th Scale: Planets. Human Civilizations; Economic Systems.

8th Scale: |-Stars & O-Black holes.

9th Scale: Galaxies, which might be the beginning of a new Scalar Game.

10th Scale: Universe, which might be a Gas cloud of Atoms of the new Scalar game.

Each scale has different speeds of time information, which we measure and compare according to their frequencies.

There is thus always a ‘third way to see’ reality beyond the 6 direct dimensions of this world, which are the scales in which we interact, and this i-dimension is of paramount importance to the total count of dimensions of an organism.

But from a larger non-subjective perspective all the scales of reality have the same existential value; as smaller scales grow in information (as a fractal does). So the product of its energy-size & information is the same in each scale. This ‘co-invariance’ of the size and information of any region of the Universe is what mathematicians call the ‘metrics’ of a ‘dimensional system’. And in this case it is the metrics of the ‘scales of space-time’ of the Universe.

Those 3 ‘scales’ of any superorganism are different in its properties as a ‘space-time’ since the unit/scale of space is different and so it is in an inverse fashion its time-speed (the speed of the clocks of time of each scale). As ‘things become larger in space’, their clocks of time slow down in its capacity to process information.

So an ant lives 7 years but think 10 times faster, and a quark is much smaller than a galaxy but turns around billions of time in a second. Yet both, the speed of ‘time’ and the ‘size in space’ balance each other, such as Es x To = K. This fundamental law of the Universe is what allows a super-organism to ‘coordinate’ 3 scales and the actions it develops on the 3 scales in synchronicity. So for example the faster speed of cell processes allow the cell to reproduce in a day, which is a ‘life’ for the cell and produce enormous quantity of enzymes for the entire body. The faster speed of a small chip allows it to process all the information of a large machine. What a system ‘looses’ in size in space and force and energy it gains in speed in time processing and intelligence the smaller it becomes, and this introduces many contradictions.

Essentially all what you see is part of one of them. It might be seen partially either because we focus in a ‘part’ of a whole, or because it is indeed an isolated part.

Thus from 1 the superorganism comes 3 topological parts +1(the whole); then adding the 3 +I social dimensions of the whole, 6+1 and then adding its 3 inner cellular dimensions (-i) 9+1. And this 10 Dimensional description is what will give us fully all the needed information about the existence of an entity.

3+1->6+1->9+1 however will make too bulky our analysis and logic equations. Thus we ‘’compact’ the 3 ±I scales of the system with the ±I symbols that resume the dynamic process of emergence (birth and social maturity) and devolution (3rd age isolation and final death) which relates the individual to those upper and lower scales of existence.

How can we then formalize logically the structure of the superorganism and all its parts? With a new ‘logic system’ of symbols that represent those dimensions of a superorganism, in the form of a ‘fractal generator equation’.


8. An equation to represent the Dimensions of all Systems of Reality.

The simplest equation to define all the superorganisms and systems of the Universe uses only 3 symbols. It expands the fundamental equation of science, (energy conservation) into the principle of conservation of energy & information:

‘All what exists is a complementary system that transforms back and forth, energetic space into temporal information:

∑Seó∏Ti (dynamic view) or ∑Se (limbs-field) X (body-wave) ∏Ti (head/particle)=K (balanced system – static view).

It describes all the systems of the Universe, as complex systems of energetic space and temporal information, in permanent motion, gauging information, moving with energy, and combining both, exi, to create, decouple and reproduce similar systems, in an immortal Universe made of infinite fractal complementary systems of energy and time, including you, who sometimes say ´i don’t have energy and time to do this’. Actions of energy and time performed with your ternary system are all what you or any entity of the Universe does.

As it happens those two processes are inverse and so we can talk of systems as dual, bipolar, feed-back equations of the 2 essential ‘arrows or motions in time’, flows of expansive energy, and imploding information, E<=>I, interacting with a bigger energy/information system – the Universe.

The first breakthrough of this more complex vision of reality took place in physics, when Max Planck the founder of quantum physics discovered that the Universe was made of actions of energy and time, not of substances but of motions with form: A = E x To. Light, the ultimate substance of creation was composed of two different motions, cyclical clocks of time (electric information), and lineal motions (magnetic fields). Energy (lines of space) and Time clocks (cycles of information) are two types of motions. Substances are a Maya of the senses. This Galileo noticed when he said ‘e pur si muove e pur no muove’. That is, the Earth moves but it seems to be still, so our eyes can perceive and gauge information.

In static present terms. Es=To, implies all systems seek a balance between its energetic space & temporal information (as the equality e=i maximizes the previous equation max. e x i=5×5>6×4). And so the survival of the fittest, those with a higher, ExI, existential, energetic and informative force, makes most systems balanced Max.ExI (e=i )systems.

Those 3 symbols represent a superorganism in i=ts individual scale as its 3 topological networks/organic functions:

– Es: Energetic space, the lineal motions of the Universe.

– ó, X, the dynamic or static ‘body/waves’ that join both poles.

– Ti, To: Temporal Information, the cyclical clocks and heads of the Universe.

Where i (or st) represents a specific scale of wholes that become parts of growing wholes and create the fractal, scalar structure of the Universe – which put together in a continuum defines the 5th dimension of the Universe – its scale of social complexity from i-∞ cells that gather into whole i-ndividuals part of, I+∞ social superorganisms of a new scale.

Thus i-scales of complexity show the relationship of a superorganism with its social scales, which the superorganism perceives as a series of ‘actions’ he performs within its social group or ecosystem. Hence its 3 temporal, social actions’ or ‘functions’ that those 3 spatial dimensional organs enact in time are described also by 3 symbols:

+i, +st: The positive arrow of information or life, the longest arrow or dimension of time, and direction of the future, as all systems are dominated by a particle/head of information that constantly curves and transforms into form, the energy of the System. Thus +i represents the arrow of future-information – the function of forming, perceiving, warping & wrinkling the superorganism till exhausting its energy in its 3rd age. Since the purpose of the Universe is to create networks of cells communicated with languages of information that emerge as a whole, we use those 2 symbols, +i, +st, for a ‘higher’ eusocial plane of existence – the creation of a new ‘whole’ plane of space-time. And viceversa, when a space-time plane dissolves as its communicative, informative networks disappear and the being dies, we use:

-i, -st: The negative arrow of entropy, energy motion and death, the shortest arrow, and direction of relative past, as energy diminishes from an age of youth and motion, towards the future of information in which all energy is spent, and the system then reverses in the ‘instant of zero time’ called death, dissolving fast its information back into cellular energy disjoined and extended without networks that put those cells together. So Atoms explode into photonic parts, humans into cellular parts and galaxies into dust of space-time. Thus –st, -I means a lower plane of smaller ‘cells’.

∑, ∏: Those Symbols represent the process of social evolution of parts into wholes, either as ‘energetic parts’ that are assembled into herds, ∑, or as ‘informative parts’ that join into networks, through ‘axons’ that connect each cell to all others (hence the ∏ multiplicative system and the higher power of informative systems over loosely connected herds).

We put all those symbols that analyze systems in its 3±i, 6±i or 9±i dimensions in a single equation that resumes it all:


The Equation explains the structure of 10 Di Organisms, which are all from the Universe to man. It is the fundamental ‘Generator, Fractal equation’ of General Systems Sciences or Complexity, a XXI C. science that unifies biology and physics, through the use of 2 ‘arrows of creation/destruction’: information or cyclical motion, or ‘time clocks’ – traditionally studied by biology – and energy or lineal motion, or entropy, traditionally studied in Physics. So we say:  ‘Everything in the Universe is a Complementary System that transforms back and forth energetic space into Temporal information: Es<=>To’

The power of that equation to explain all entities is enormous. For example the 3 states of matter, gas = max. energy, liquid = balance between energy and form and solid = max. form respond also to the ternary language of the universe.

So do the 3 ages of life, the energetic youth of maximal motion, the reproductive, mature age, e=i and the old age of maximal wrinkles and information, max. i.

Thus the equation also represents the ternary elements of a universal grammar, e<=>i, which describes the syntax of most languages that are used by minds to map out in a synoptic manner the 3×3±I superorganims of the universe:

In mathematics we always write, F(x) OPERANDI g(Y). Where the function of x and y tend to be parts and wholes or energy and information variables, and the operandi one of the fundamental actions or events of the universe.

In colors we find 3 primary colors, and we relate red with energy, blue with information and green with a reproductive mixture of both. So in societies the elites that control the languages of social information tend to use blue flags, and the people that provide the working energy prefer red. So do the energy genre, man with its lineal bodies who prefers red… They are are also the 3 genders, if we consider the gay sex a mixture of both.

In the 3rd language of mankind, words, Chomsky found its universal grammar to be also a ternary, IóE equation:

Subject (human, informative element) <verb (describes exi actions) >object (energy element submissive to the subject)

Further on, we can classify those languages, into primary, perceptive languages – the spatial language of colors and the temporal language of sounds/music – and complex exi languages, which combine both elements:

-Max. I x E: the language of words, dominant in time-verbal dimensions and…

-Max. ExI mathematics, where geometry is a spatial language and arithmetic & algebra a sequential, temporal one.

Mathematics is the dominant language of physical sciences, as those are species of higher energy-space-motion. But the much despised language of words with its causal logic of past->present->future dimensions IS better suited to explain informative, temporal processes. Hence evolution and social sciences rightly use it in its scientific theories.

We can even go further and comment on religion. Saint Augustine wrote a book called Trinitas, to explain the mystery of the trinity of God – where a God or Nation is the subconscious collective superorganism of all the believers that share the ‘same’ memetic ‘DNA-code’ as cells of the body of ‘christ’ (or Buddha, etc.). Hence Gods as human social superorganisms, which can be compared with many other ternary systems. In our example, the mystique metaphor of Trinity merely puts 3 elements in relationship, God, the collective superorganism, the mind of each human cell that believes and sustains the superorganism in its i-1 scale and the informative network or memetic code the Revelation book of words, which acts as the DNA genetic code in a body – making all cells with the same DNA code; all humans with the same Memetic ‘saint spirit’ act in harmony.

Thus the saint spirit is the verbal language, which in religions is considered the language of creation, as physicists consider mathematics for the same role. And so Saint John said:

God, 1st person, the word, 2nd person, became the mind of man, 3rd person, and inhabited among us (Saint John, 1)

All those visions of the ternary game of existence are partial visions that we unify in G.S.T. Since neither religion and his sacred language, the word, or science and its sacred language, mathematics, or art and its sacred language, images, which are the 3 manifestations of human languages in its purest forms, are all the languages of the Universe. Upanishads said the ‘languages of god’ are infinite, but they all relate to the language of general systems sciences and its generator equation of superorganisms. Each ‘ternary code’ reflects part of the total properties of the Universe. As only the whole universe has all its information about itself and its ∞ parts, (Haldane). But we men can understand how all languages map reality and extract from its universal grammar, images of its ternary, e=i systems. We deduce laws common to all those systems, called isomorphisms or invariances – the common truth of the whole and all its parts.

We are exploring the main equation of the universe, the one that generates the motions=actions of all its systems.

Indeed, we can also reduce the actions of all structures, forms, cycles and events of Nature to 2×2 simplex, individual and complex, social actions of energy and information, which are both the 4 ‘fractal dimensions’ of physical entities (light dimensions+social color, 4 quantum numbers, 4 Maxwell equations), and the 4 ‘wills or ‘drives’ of all biological beings – since biologists define life as entities that feed on energy, gauge information, reproduce and evolve socially.

The main of them, is the existence of only 2+2 type of actions in the Universe:

– 2 simplex, individual actions of energy and information feeding (Max. E, Max. I) and 2 complex, social versions:

– Exi = Reproduction with a couple by imprinting the excess of energy with form and social evolution in herds and…

– ∑E, ∏I, creation of herds and social networks that combine to create the whole, represented by the generator equation:

– ∑E(X,<=>)∏I, where we add 2 symbols of social evolution, S a sum of the cells of the ‘body’ and ∏ a multiplicative network; since informative systems form networks that relate each cell to all others, multiplying its social power. While X is the organic, static, present vision of the system, and ó the temporal, ‘dynamic’ feedback flow perception of it as a sum of cycles of exchange and combination of energy and information that all entities of the Universe. Thus 4 arrows, actions, drives, dimensions, cycles or whys suffices to explain all events, actions and its static forms in any i-scale of reality.

Recap. All what exists is a complementary system of energy and information that switches between both states: ∑Se<=>∏Ti. Each of those 4 symbols describe the whys of the 2 Simplex individual and 2 Complex, social actions of all beings, whose cycles create the space-time we perceive:

E: energy cycles (moving, feeding),

I: informative cycles (perception, inner form) and their social combination,

E<=>I, reproductive cycles and

∑, ∏, social cycles that create herds of energy and networks of information.

9. The program of the Universe. Isomorphism of actions of all natural superorganisms.

Existence and life is not about motion or form but its combination – it is about actions. We all like to act, not to gather information or lower ourselves to the mere sensations of energetic pleasure. So happens in physics where the unit of all systems is the ‘action’ of energy and time. Thus the universe and all its species follow a program of 4 actions or ‘functions’ or ‘drives’ or ‘dimensions’ or ‘arrows’ of existence, determined by the duality of energy and information:

–   Max. E: To feed on energy to move and refill the energy of the system.

–   Max. Ti: To gauge information to direct the motions of the being, perceive and create parallel forms.

–   Es x To: Thus to reproduce, combining both, energy and form, into actions and parallel beings.

–   ∑, ∏, i: And finally, to gather socially with similar exi entities into whole, new planes of existence.

And this simple program of ‘motions in spacetime’, of actions, which ultimately responds to the ‘need to survive’, by feeding the body-limbs, informing the mind, reproduce it beyond death and becoming part of a stronger ‘whole’, able to gather energy and information for the herd, is the ‘purpose of existence’. What all systems of the Universe do.

Thus we shall see constantly that form and function, dimensions of vital space and its functions in time work in parallel. And recognize the ‘vital, organic’ nature of the Universe in those 4 ‘arrows or dimensions of existence’, called in biology drives of life, which all systems follow, even physical systems, studied in a parallel paper to this one0.

Moreover the ‘4 Dimensions of classic space-time’ are related to those 3 drives of existence, as we ‘are made of spacetime’ and the ultimate vacuum space is light in motion (proved by its energy and constant creation of photons). This light-space thus have 4 Dimensions, which correspond to its 4 ‘drives of existence’: Max. I: the high dimension of the electric field where the head-photon stays most time. Max. E: The magnetic field dimension perpendicular to the electric field. exi: the dimension of reproduction of the wave or speed, which indeed in Maxwell equations is the product of the energetic-magnetic and electric-informative field. And finally colors, the social dimension.

Yet in atomic particles we also find the 4 quantum numbers that define the electron and respond to those 4 vital dimensions: the main number or ‘energy dimension’, the secondary number or ‘informative dimension’, the spin that defines the reproduction/decoupling of particles with inverse spin and the magnetic number that orders the societies of electrons. And then again we find 4 Maxwell equations that represent those 4 dimensions of existence in electric flows. We only study in this paper the 4 Dimensions of life systems, which will be coded in life beings in 3 scales, in cells by molecules (4 genetic letters), in organisms by physiological systems (sensorial-informative, digestive-energetic and blood systems, unified by the ego-brain, which creates the whole) and in society by memes and its networks (energetic-military networks, economic-reproductive networks and cultural-political informative networks, the ‘whole’).

Thus we call those ‘4 drives of existence’, feeding, perceiving, reproducing, and evolving socially, each one represented by a symbol of the ‘Generator Equation of energy and information systems’, ∑ (herding), E (feeding) , <=> (reproducing), I (informing), the program of existence as all from the atom guided by its 4 quantum to each human with its cycles of working, informing, entertaining, eating, moving, loving, acting socially performs it. They are the proof of a living, organic, sentient Universe, in which all its parts are made to the image and likeness of the whole. Since both physical and biological systems, process energy (feed on energy to move), process information (gauge information to orientate its motions), reproduce or decouple into similar systems or particles and evolve socially, ∑, into bigger systems. Quantum theories are called ‘gauge theory’, because particles seem to gauge information. Sociological groups are called ‘fields’ because they can be studied with physical laws in their motions.

When we accept the essential similar hierarchical, scalar structure and dual energy-information dynamics of all systems then we come to startling conclusions regarding the equalitarian nature of all systems of the Universe, different in ‘quantity’ and ‘complexity’ but not in ‘quality’. We shall study in detail in this paper those 3±I arrows/dimension/drives of existence both in individuals and its superoganisms, which are its species, and see how they are ordered in time by the life-death cycle, which is paralleled in species by the processes of evolution->radiation of species->extinction of those with lesser energy x Information force, which happens to be those who did not evolve into superorganisms.

(The reader will excuse the use of synonymous constantly in those texts but that is the essence of GS2, to show that different sciences merely use different ‘names’ for the same phenomena, so ‘drives of life’ is the program of life for biologists, ‘dimensions’ is the program for mathematicians, ‘quantum numbers’ for physicists, arrows of time for poets, will of existence for philosophers, and so on. The same happens with energy and information vs. space and time, just parallel concepts of biologists and physicists, with systems or organisms, etc.)

From 1, the Superorganism, comes 2, the system of energy and information. From 2 comes 3, the spatial organisms with energetic fields/limbs, reproductive waves/bodies and informative heads/particles. And from 3 comes 4, the arrows or ‘drives’ of existence of those superorganisms, which absorb energy, information, reproduce and evolve socially its cells into bigger superorganisms. This 1->2->3->4 ‘series’ take the entity into a new scale of existence.

Recap. Since life is defined as a system that processes energy and information, reproduces it, ExI, exchanges both with an external Universe, and becomes organized, ∑, into complex herds and cellular organisms, both physical systems, which associate into atoms and molecules, reproduce by decoupling self-similar particles and become organized with a field/wave/body and particles of information, which cannot exist without each other… and life beings, which also reproduce, gauge information, absorb energy and move with it, and associate in more complex wholes, in a bigger scale of which they are mere units.


10. Topological Spaces. The why of geometrical forms.

All what exists is a form of space with a motion/drive/dimension/action in time. We can thus simplify formally all systems, considering that a ‘geometrical form with motion’ is called a topology (a geometry of space that can be deformed in time by motions without breaking it), and that in a 4D Universe (as ours is ‘classically’ described in a single i-scale of space-time), there are only 3 known ‘forms with motion’ or ‘topological varieties’ (mathematical jargon), each one becoming one of the 3 ‘vital organs’ of the superorganism. Thus the forms of those organs in space have their equivalent function in time and both together define one of the 3 ‘topological varieties’ of the organism, observed in a single i-scale of space-time. And NOTHING else can exist, as there are only 3 topological varieties, 3 dimensions of space and 3 functions of time. Thus the 3 spatial networks and its 3 time functions create 3 type of topologies (geometries with motion), which are:

– Energetic topologies – networks: Spherical-Planar varieties that form the ‘enclosing membrane of the system.

– Informative topologies – networks: Hyperbolic-Tall varieties that form the central ‘zero-point’ or mind of the system.

– And reproductive topologies – networks: toroid-cyclic varieties that fill the body between membrane and nucleus and reproduce with its cycles of exchange of energy and information, both the membrane and the zero point.

– Which put together create a ‘whole’ ‘fractal point with volume’, a solid sphere or ‘Ball’ (in topological jargon) composed of its 3 organs, with the zero point in its center and north-south axis, its relative planar membrane separating it from the outer universe and its body organs with its cycles between the center axis and the surface exchanging energy and temporal information, EsóTi. In the graph we can see many of those ‘whole’ balls and since almost all entities of the Universe have an external membrane with a few apertures to exchange energy and information with the environment and topological varieties admit ‘deformation’ (so your skin would be the surface of a deformed ball with the apertures of the senses and excretory systems), we can consider that the Universe is made of ‘fractal points’, points with volume which are in words of Leibniz ‘a world in itself’.

We must in that regard before we study the connection between those ‘whole fractal points’ and its 3 topological parts that inform, move and reproduce the system, consider a formal ‘analysis’ of such points, which is given by the ‘expansion’ of Non-Euclidean geometry, fusion with Fractal mathematics and topology, the 3 most advanced branches of mathematics today, which accordingly are the ‘formal foundations of GS2 – the most advanced science.

10. Non-Euclidean Points of view



Let us then start that journey considering the expansion of Non- Euclidean geometries needed to formalize complex physics with the definition of a complex, fractal, Non-Euclidean point. The last advance in Geometry was made by Riemann and Einstein. Riemann realized that a point can fit multiple parallels and Einstein used those Non-Euclidean points (in Euclidean mathematics a point has no breath and only fits one parallel), to describe the space-time of the Universe. A Fractal point is an advancement of that concept. It states that all points when perceived in close distance enlarge and have inner parts of energy and information, of ‘motion and form’. So as a fractal grows in information when we come closer, so do the points of the Universe. Then they can fit multiple parallels. Moreover, since now points have parts, the 5th non-Euclidean postulate requires to change the other 4 postulates built on the concept of a point without parts. This fact surprisingly ignored by mathematicians for 150 years is the departure ‘point’ of a new Non-Euclidean set of 5 postulates needed to formalize the complex models of superorganisms and the fractal geometry of a Universe of Multiple scales of Spaces and multiple clocks of Times:

1st Postulate: ‘A fractal point is a world with an inner content of information that creates its 3 internal, topologic, organic dimensions and a content of energy that traces its external motions=time arrows’

2nd Postulate: ‘A line is a wave of fractal points.’

3rdPostulate: ‘2 fractal points are self-similar when their external, spatial perimeter or their inner information is equal. Similar points form organic networks by sharing their energy and information. Dissimilar points ab=use each other in Darwinian relationships’

4th Postulate: ‘A plane is a network that joins points through waves of energy and information.’

5th : ‘A fractal point has inner apertures to the world, through which multiple waves of energy and information can cross.’

The first postulate explains a fractal point as a point with parts. Now a point can be any entity of the Universe. In a more detailed analysis those parts turn out to be the three canonical topologies of a four-dimensional Universe, which describe an informative, hyperbolic region or ‘head’, a toroid, ‘reproductive body’ and lineal or planar energetic limbs and membranes, common to all the points of the Universe.

The 2nd postulate explains the interaction between two points connected by a wave of communication or ‘line’ and its laws are essential to understand the communication of energy and form and the creation of networks between points. The 3rd postulate explains the type of interactions between 2 points according to their relative equality, which will bring them together into a social network or dissimilarity, which will make them not interact or enter into a Darwinian relationship in which a point absorbs the energy of the other. It is thus the essential postulate to understand the causal actions of creation and destruction, eusocial evolution and Darwinian struggle in the Universe. And they resume in a simple sentence: Love your brother/species, who shares your information and evolve together into a social whole.

The 4th postulate defines the creation of networks made of systems of points across multiple scales of space-time.

Finally the 5th postulate, which seems redundant with the 1st defines a ‘mind’ or focus of multiple flows of information:

In the graph, because a Cartesian graph (left) is an abstract continuum of lineal space-time, based in a single rhythm of a mechanical clock and a continuous space of points with no ‘breath’ (Euclidean definition of point), ever since it became the canonical representation of space-time, science has reduced the infinite vital spaces and time clocks of the Universe into a single, absolute time and a single absolute space, with a single point of view, that of the human I=eye mind in the origin of coordinates. In that sense the Cartesian plane represents the visual continuous light space-time that fills vacuum and it represents the 3 perpendicular coordinates of light. Thus Cartesian coordinates are equivalent to the height=electric field, width=magnetic field and length=wave speed of light. Since light is the space we see and so its 3 coordinates are self- similar to those of the Cartesian, human mind made with light.

The real Universe though has infinite minds or points of view that gauge information in infinite scales of space-time with different pixels besides light (smelling minds, gravitational minds, sound minds). And they will see a different world. Since the Cartesian world is just the light space-time we see.

Each of those minds will be a zero-point, an infinitesimal that stores a ‘still mapping’ of the infinite Universe in its focus of perception, stored in the language it creates with the pixels of those forces, to represent the Universal Grammar of all languages: space-time events of exchange of energy and information, EóTi.

So each mind, as we have seen studying human languages of perception will map with ‘ternary’ elements the ‘ternary topologies’ of the Universe and use that information to act-react in its environment looking for its 4D program of existence (feeding on energy, perceiving information, reproducing actions and self-similar beings and evolving socially). Each of those minds-points of view will have therefore volume to fit the flows of energy and information that go through them, which is the definition of a Non-Euclidean, Fractal point of view through which ∞ parallels can cross.

Thus, we define all entities as ‘whole’ fractal points whose laws can be explained with a new geometry of space-time, Non-Euclidean geometry, born of the completion of the work of Einstein in physics and Riemann and Lobachevski in the field of mathematics. Since now all points have form and motion, they have breath; and since now all lines have form and motion they are waves; and since now all planes are networks, they are discontinuous planes. Thus, the new formalism of space-time explained in detail in other lessons of this workoredefines also the geometry of the Universe in dynamic, discontinuous terms. Now the scalar nature of reality comes in mathematical terms from the fact that points become communicated by waves and then n-points become communicated by planes/networks, which ‘warp’ in the 3 dimensions of space to form a ‘bigger point’, unit of a new i-scale. So for example cells become neuronal networks, creating a human ’point-head’, which is part of a global super-organism, which if we were to map with a point for each human head would form again a spherical network over the surface of planet earth – our social superorganism.

The universe is made of networks of such i-points, and each network is what we call a world or discontinuous space-time, st, unit of a bigger fractal network, a new st-point in itself. So a network of particles becomes an atom, which becomes an st-point of a molecule and so on till creating the networks of the Universe.

Even humans can be studied as Non-E points, in which each head is indeed a spherical point that communicates constantly energy and information with other humans, forming social networks.

Recap. To understand Multiple spaces-times we need to evolve further mathematics, the language of science. Leibniz, Einstein and Riemann, who in the XIX c. realized that ‘through a point infinite parallels can cross’ (5th postulate of non-Euclidean geometry) are the points of departure. ‘Non- Euclidean points’ with form and motion, made of knots of time cycles, are the final elements needed to understand the why of the Universe. They socialize into networks that become points of a higher scale, which reproduce and organize new networks; and so the Universe keep growing in fractal scales, from particles that organize networks and become atoms that organize networks and become molecules that organize networks and become cells, that become organisms, that become planetary societies; while planets and stars form gravitational networks that become galaxies, organized by dark matter into Universal networks. Thus each Non-E, fractal point is a world in itself – a topological point with a volume of energy and information that relate it to other points through waves, which carry energy and information and create networks that warp into bigger points.

11. Dimensional analysis: Diffeomorphism: fractal relativity. Each species has 3 relative ternary dimensions.



The 3 topological regions of any ‘fractal point’ orientate in 3 relative dimensions of ‘informative height’, energetic length and its perpendicular combination into reproductive width: exi=k. Thought those 3 dimensions are diffeomorphic, adapted to each relative ecosystem of space-time where the system absorbs energy and information. Thus each ‘space-time being’ deploys a particular ‘direction of height-information’, ‘length-energy’ and ‘width-reproduction’, different from other beings, interacting with the flows of energy and information of its ecosystem through its particular, ‘local’=diffeomorphic coordinates, which departing from its informative zero-point or relative ‘self’, establish accordingly its 3 relative, perpendicular, fractal dimensional actions of energy, information and reproduction. The Universe then becomes the sum of all those diffeomorphic 3D fractal space-time beings.

A key, mathematical element is required to have a vital, topological view of the superorganisms of space-time: the relationship between the 3 canonical dimensions of the continuum Euclidean space and the ‘fractal’ (smaller) dimensions of each fractal point/superorganism, whose external limit is the membrane.

Each of those dimensions is maximized in the corresponding functional topology: height is the dimension of informative perception, as it allows a ‘higher’ point of view that scans a larger territory, length the dimension of energetic motion, ‘parallel’ to the lineal field of energy that moves us, and its perpendicular, wide dimension is the reproductive dimension that combines both (exi). This is clearly evident in the simplest forms that show the ‘geometrical game’ with more precision: the magnetic (energetic, flat), electric (informative, tall) fields of light space-time, and its Product (Maxwell equations), the reproductive light wave are perpendicular to each other (exi).

Each of them corresponds to each function of light (being the 4th function social color). This is the ‘first’ cellular unit of our light world, from where all further ‘evolutionary scales’ of space-time beings are born. Thus the causal justification of the perpendicularity of the 3 functional, organic dimensions is its existence in the basic action-unit of space-time, our vacuum space-time made of actions of light. As we are all social evolution of H-plancks space-time actions. Again we see the 3 perpendicular fields happening in electromagnetic fields (Maxwell rule).

It has to be noticed that we talk of ‘fractal dimensions’ not continuous, ∞ dimensions. The difference between them is this: A fractal dimension is a ‘filling’ of a dimension by networks and branches which grow and will ultimately fill the total continuous dimension of the entity in the domain in which we define the entity but can reach in its filling in a certain moment a ‘quantity’ between the 0 and 1 value of the total filling/dimension. They are partial dimensions. And this is precisely what we mean. A Superorganism, for example, a human being, will have 3 ‘local, fractal, networks’ attached to many cells, and those are its 3 fractal dimensions: the informative, nervous network and all its attached cells and organs, the reproductive, blood networks and all its organs and the digestive, energetic network and all its organs.

In the graph, 3 examples of diffeomorphic beings of space-time and its relative arrows of energy and information: a galaxy with an inward arrow of gravitational information, pointing towards the central informative black hole; a tree and a man, whose informative/energetic dimensions are inverted.

Since plants use light as energy and animals use it as information. So the informative direction of animals is up, towards the head that absorbs visual information from the sky, opposite to the informative arrow of plants, which is down, towards the roots that absorb chemical information. Both have their space-time parameters inverted, as it often happens between energy victims (in the graph, plants) and their anti-forms or predators (animals). Thus each species establishes its own up and down arrows; its relative energy and informative directions, departing from that central knot of information, which is gauging and perceiving.

What classic science denies and system sciences proves is the reality of an existential will in that perceptive=informative knot, which controls the entire organism and directs its search for ‘actions’ that provide energy and information to the being. It is precisely the infinite number of Discontinuous, Non-Euclidean Points of View, what creates a general arrow of Information in the Universe that constantly reproduces the form of those entities and balances the arrow of continuous entropy, energy motions and expanding space, which physicists dogmatically consider the only arrow of the Universe. And so in all entities, when the zero point appears, order systematically grows: the crystal starts to reproduce its formal structure in ‘cells’, the hurricane becomes stable (and vice versa, bombing the ‘eye’ of the hurricane destroys it; the galaxy once the black hole of gravitational information is formed acquires it order, etc.)

12. The 3 varieties of topological space-times: We are ternary assemblies of vital, organic geometries.

In the graph, Reality is made of fractal points, whose parts perform energetic, informative & reproductive functions. As complex as one of those points-entities might be when observed in detail, any fractal point is made of 3 regions whose geometry responds to the 3 topologic varieties of a 4-Dimensional Universe, the convex plane, the torus & the sphere.

The Universe comes down to wholes made of 3 internal parts whose geometrical properties maximize their energetic, informative and reproductive functions: When we see fractal points far away we describe them as points with breath, with the tools of Euclidean geometry since the ‘inner space’ shrinks to a point and so the ‘bulk’ or curvature of space-time shrinks to a plane. Yet, when we come closer to them, they grow into points with volume. The volume of those Fractal, Non-Euclidean points can thereafter be studied with the 3 types of canonical, Non-Euclidean geometries or topologies of a 4-Dimensional Universe – the Universe we live in. Those 3 topologies make up the 3 regions of the point, which correspond each one to the 3 essential functions of any system: the external, energetic membrane; the central, informative brain and its reproductive combination, exi.

– Max. E: An outer membrane of energy, described by Riemann’s spherical geometry.This external, energetic membrane has the topology of continuous surfaces called the Riemann sphere, which is the external surface of any point – the skin and limbs and any of its multiple self-similar entities, some of which are drawn at the bottom of the graphic. In any system of the Universe, the membrane acts as the energetic, external surface of the informative, point through which the point absorbs energy from the external Universe, to process it into information.

– Max Ti: A zero point: an inner center, corresponding to convex topologies (left graph), made with 2 cyclical forms. It is the dominant informative topology of any fractal organism, described by Belgrami in the XIX c. as a conical form with ‘height’, with negative curvature.Temporal information dominates and defines an arrow of complexity and increasing height (the dimension of perception), from where informative organs (heads, cameras, black holes, skyscrapers), perceive and control with invisible languages  (words, images, gravitation, money), the ‘unmoved bodies’ of energy under them. They are indeed what Aristotle called the multiple, unmoved Gods of the Universe.

This is a key property of information and informative minds: to gauge, map and perceive reality we need stillness, so all minds and informative systems, are still. And that is the meaning of Aristotle, when he said that we are all gods, and gods are unmoved, still, perceptive. He thus considered that all entities of the universe had motion bodies and still heads that moved them, particles and fields in physics. And he was right.

Energy and information systems have inverse properties: energy is expansive, external, more extended. Information is implosive and smaller. Thus we find the informative head or system either on top of the reproductive body, with a spherical and smaller size or in the center, and its topologies will correspond to those of maximal form; the so-called hyperbolic topology. In the upper graph, it is the double ring, or convex, hyperbolic surface, with maximal form, or informative center of any entity of the Universe, the point in which the fractal reproduction of information reaches its zenith. It is the same form than the toroid but with a higher content of information, reproduced by doubling the toroid.

– ó: The toroid, a middle, body or reproductive zone, described by Klein as a disk of quanta in cyclical motion that communicates energy and information between the inner and outer zones, filling up the space-time between the nuclei and the external membrane. It is the zone where the reproductive organs of the system exist. . It must be noticed that according to Klein, the topologist that studied better this type of surface, the toroid is NOT really a fixed form of space, but we must consider those cycles’ motions and add the parameter of speed. Thus Klein introduces the Paradox of Galileo to describe the Non-Euclidean geometries of the Universe as we have done in this book. Cycles are mere static perceptions of motions and we must always consider distances as space-time distances. So we say: London is at 4 minutes distance because we consider distance and speed together. This is ultimately the meaning of time in physics, a measure of the speed of motion as a way to gauge space-distances: v=s/t.

The ideal, abstract mathematical intermediate spacetime, which combines both functions, describes the behaviour and form of many real, dual systems and its social herds. For example, a herd of animals in an ecosystem will move between their hunting and water fields (where they gather energy) and their breeding, inner region where they reproduce information, making cyclical trajectories between both regions. In this manner, they occupy a vital space-time, called a ‘territory’, which shows the properties of the reproductive body (a Non-Euclidean Klein spacetime, as it shares its fundamental property – the fact that the particles of the intermediate space are confined between the other 2 regions, which are never reached in its cyclical trajectories. For example, in a cell, the molecules of the organism will not touch the protein membrane or the central DNA nuclei. Thus, the inner quanta are confined within the Klein’s disk by the 2 other regions that have more energy & information and destroy them and/or absorb their energy and information at will.

In abstract terms, mathematiciansintroduced in the XIX c. the concept of an infinite, relative distance measured no longer in terms of static space but in terms of time and movement, as the distance between the point and a region that cannot be reached. Thus Klein defines a relative infinity, as the region beyond the discontinuous membrane whose insurmountable borders the inner time-space quanta can’t cross, as a cell cannot go out of a body, an atom beyond C speed or 0 K temperature and a man beyond the Earth’s atmosphere. Thus, the informative center and external membrane become the 2 relative infinities or limits that the movements of the intermediate point cannot breach.

As in the myth of Achilles and the turtle, Achilles never arrives because every time he moves he crosses a smaller spatial distance. The same happens in a fractal space-time, when a point moves temporally towards its inner or outer space-time limit and finds an increasing resistance to its movement, till finally it is deviated into a cyclical trajectory around the outer, energetic membrane or the height dimension of the inner informative singularity or it is destroyed. So the intermediate, fractal cells of the point circulate in parallel cycles always inside the interior of the sphere with contact zones of the type A (central, 2nd row of figures in the previous graph).

In a human organism, the blood system might seem infinite for the red cells that transport energy since they never reach the outer Universe. For that reason in the drawing, Klein interprets the intermediate region of the Non-Euclidean point as an infinite circle with an invisible, unreachable membrane, whose motion-distance is unreachable, hence infinite, equalling the ‘space-time distance’ between the intervals B1-B2 (long) and B2-B3 (short but difficult to cross), despite being B2-B3 increasingly shorter in space. Since the quanta take longer in each step and don’t reach the membrane. This is due to a growing density of space, which despite having less distance has more points in its network, such as the case of black holes or jails. When those inner points reach the membrane at point C they become destroyed or deviated.

Thus, the energetic membrane and informative center are the discontinuities that isolate the intermediate cellular quanta, creating a discontinuous ‘World’ within the point. Those discontinuities are called in Geometry a relative infinite, in Biology a membrane, in Sociology or Topology a national border, in fractal theory a co-dimension of a point. They are defined in physics by Lorenz Transformations that make c-the limit of energetic speed and 0 k the limit of temporal, formal stillness. Yet those physical limits are not limits of an absolute Universe, but limits of the fractal membrane of light space-time and its evolved electroweak beings, since the Universe has at least another bigger gravitational membrane, in which the smaller light-space exists; a fact with enormous repercussions for a proper description of the Cosmos, which extends beyond those limits. Since a gravitational scale is faster than light-speed forces and cooler than 0 K masses.

In the graph, we observe several non-Euclidean points created by those 3 canonical topologies that can adopt multiple forms by deformation, but suffice to construct all the shapes of our Universe. Indeed, a topology is deformable. So an external membrane, which corresponds to the topology of a sphere, can become any shape, as long as it is not torn up, to enclose a reproductive and informative zone. So your skin is in topology a sphere, which encloses the complex forms of your reproductive organs.

Since those 3 topologies suffice to describe any 4-Dimensional form, it follows that the Universe is merely a puzzle of energetic, informative and reproductive parts, iterated=reproduced and then associated in ‘numbers’, creating all kind of entities as those shown in the previous graph, from different sciences, which are assemblies of those 3 topologies.

Thus the laws of the 5 Non-Euclidean postulates and 3 topologies common to all species formalize mathematically the structure of superorganisms and explain why in space mathematics is the language of the Universe – as we are vital mathematical geometries of space-time with motion, albeit more complex than the static, Euclidean simplifications used by mechanist science in its description of those superorganisms. Thus the evolution towards a topological Non-E description of species brings back the ‘vital’ motions lost in the abstract, Euclidean simplifications:

In the graph, an animal, an embryo, an electromagnetic flow, a galaxy, a proton, a seed, a planet, a cell and a boson display the 3 topological zones of a fractal point, each of them performing 1 of the 3 functions/arrows of space-time.

Thus a key law of GS2 is an old law of science: Each form of topological space performs a time function/arrow.

Those 3 topological regions correspond to the 3 main arrows/dimensions of space-time of each of those systems:

Information (head) x Energy (membranes) = Reproduction (toroid cycles between both)

Thus the toroid regions explain processes of transformation of energy unto information as topological transformations.

From the ‘analytic’ perspective of Non-E Geometry, the ‘whole’ is a fractal point (1st postulate), which absorbs energy and information through apertures in its membrane (5th postulate), and evolves socially with other points through waves of exchange of information and energy (2nd Postulate), in relationships of social evolution or Darwinian ‘perpendicularity’ according to their similarity (3rd postulate), forming ‘networks’ of cellular points (4th postulate).

Thus while the 3 topologies of a single ‘space-time’ scale of the superorganism, corresponding to the 4 Dimensions of space-time of that single ‘scale’, describe the 3 arrows of all systems performed in a single scale, the Postulates of Non-Euclidean mathematics allow us to understand the 4th arrow of social evolution, which requires more than a point – parts that become wholes, and hence more than a single scales of space-time – as points (1-5th postulate) join in lines and planes (2nd and 4th postulates).Thus the 3 most advanced branches of ‘XX-XXI c. ‘mathematics, fractals, Non-Euclidean Geometry and Topology confirm the organic paradigm, as the natural evolution in our comprehension of the Universe beyond the simplex vision of mechanist science and Euclidean static mathematics and a single space-time. We live in a mathematical universe, but it is a Universe of Multiple Spaces-Times, where all ‘forms’ have a ‘function’ and hence a ‘motion in time’. Let us consider a few more ‘formal functions’ and details of those ‘vital, mathematical, superorganisms’.

In the graph, the 3 functional topologies of a Non-Euclidean point become the 3 regions of all Natural organisms:

Physical systems: Fig.5, Atoms have a central, informative mass of quarks, spatial, electronic membranes and fields of gravitational and electromagnetic forces exchanged between them. Those 3 topologies also describe the galactic structure (fig.4): the central black hole is the hyperbolic, informative topology, the Halo of the galaxy is a Riemannian, spherical form, and the stars in the intermediate region, which feed the dark matter of black holes and reproduce the atoms of life, turn in cyclical, toroid paths around the central black hole.

Electromagnetic space-time (fig.3) is the simplest physical world where the most basic morphologies play that same process of transformation of external energy that converges and reproduces cycles, attracted by a Non-Euclidean point, charge or mass: E=Mc2. The interaction of electromagnetic fields that ‘reproduce’ a central ‘zero-point’, a high new flow of electric or magnetic information shows the constant, reproductive and creative nature of the Universe.

Planets (fig.7) also have an outer membrane (radiation field, atmosphere) that protects the system from external high energy rays, an intermediate cyclical field of convective flows of magma that reproduce and ‘form’ the rocks of the planet and an internal zero point ‘crystal’, which likely ‘perceives’ gravitational forces guiding the orbits of the planet.

Finally a ‘bosonic’ highly ordered state of matter (fig.9), packs in a hyperbolic dimension of ‘height’ atoms.

Biological systems: Cells (fig.8) have lineal, external membranes of proteins, which are a deformation of a Riemann sphere, an informative nucleus and in between they are invaginated by all kind of eói cycles that transfer energy and information from the outer world to the cell. Animals (fig.1) are in its palingenetic, simpler forms, of spherical symmetry, displaying digestive=energetic networks, informative, sensorial/nervous networks and reproductive organs. In its seminal and embryonic state (fig.2) some of those functions are exercized by the ‘higher’ mother superorganism of its upper i+1 scale. When they are external seeds (fig.6, tomato), the structure as a fractal point is independent, with the genetic information (seed proper) in the center, the protective external membrane and the ‘body of food’ that will allow the reproduction of that information in between.

A human has a reproductive body; lineal, energetic limbs & a cyclical head, with an informative, smaller brain, composed of two hemispheres, which are hyperbolic, convex, warped forms, corresponding to the informative dual ring of a Belgrami cone. The hyperbolic, highly warped brain is a double toroid, self-similar to the hyperbolic topology of informative cycles. So the brain hosts more information in lesser space than the body, as a mirror of its functions. Man though, shows in his 3 canonic, topological organs a specific diffeomorphic adaptation to a specific environment – the earth, and its high light-information, low land-electromagnetic, repulsive energy motion and prey feeding axis.

Yet from the simplest seed to the complex topological evolution of a human being, the 3 elements of fractal points always display the properties of its topological forms/functions:

– The informative zero-point is either in the center, where its communication with all the inner parts of the system is maximal or it has height as it accumulates information, from an external ecosystem and it is the smallest part.

-The external membrane is larger, continuous and protects the system. All Fractal points are inner worlds, whose membrane creates a discontinuity that defines an External Universe or outer world from where the point obtains its energy and information.

– In all fractal points there is an inner middle volume or intermediate territory, which combines the energy coming out of the external, spherical, topological membrane and the information provided by the convex, complex formal center. In the simplex, pure description of Non-Euclidean topology this region is made of similar points that form groups in perpetual movement that draw cycles of parallel lines, between the other 2 regions, as they gather energy and information combined in new parts. And they create space by cycling within the other 2 regions. Thus, the intermediate zone is filled with organs that reproduce the parts of the system with orders of information given by the center and the energy absorbed through the membrane, which latter migrate towards the other 2 zones. So in a galaxy, stars are transformed into black holes that migrate to the center. In a cell we find mitochondria that produce energetic proteins and RNA for the surface membrane. In the human body organs reproduce hormones and products used by the brain; while bones, reproduce red cells that migrate to the open membranes to absorb external energy. In an ecosystem, the territory controlled by an informative center, the predator, produces preys to feed the predator, who takes them to its central den.

However the membrane is also the zone through which the point emits its reproduced micro-forms of information, and so it displays ‘sensorial holes’ to relate the point to the external Universe. Thus all fractal points, despite being discontinuous worlds, will have in their external membrane several generic openings or ‘senses’ joined to the informative networks or ‘brains’ and energetic, ‘digestive networks’ of the organic system:

   – Max. +Es: Amouth’ or opening that absorbs energy.

   -Max. -Es: Cloacae’, through which the cyclical body expels its residual energy.

Max.+Ti: Aneye’ through which the informative center receives external information.

Max.–Ti: Anantenna’ to emit information.

As information has more form, it is quantized. So Energetic apertures are single & bigger (mouth, anus) than informative ones (eyes, ears). Those apertures vary in their number, location and size, depending on the form of the point. In simple spheric seeds, they are mostly situated in 3 regions in which exists a dimensional parallelism between function and form:

– Max. Es: The lower region, or Plane=Equator of the system tends to the membrane region that absorbs energy. So your mouth and nose that absorb energy are below your eyes and ears.

– Es=Ti: The Intermediate tropics where often the same opening emits and absorbs temporal energy.

– Max.Ti: The upper region or in spherical fractal points (common in 3-Dimensional ‘environments’ in which there is not a diffeomorphic orientation as in human/earth environments, mostly in water or vacuum space) the North-South Poles axis act as 2 relative, negative and positive apertures, communicated by the height dimension that crosses the zero-point informative singularity or Belgrami hemisphere (non-E ideal form).

– ΣEs<=>Ti: The reproductive, central region, body or ‘territory’ which combines Energy and Information: The + North Pole absorbs information(magnetic fields in atoms & planets) that crosses through its central singularity where after absorbtion is deflected to the intermediate region where it mixes with energy from the equator plane coming from the ‘mouth’ apertures of the membrane to create exi actions & forms.In many fractal points the informative and energetic centers establish 2 opposite flows of energy and information that become relative negative/positive poles. So, the particles of the intermediate region trace elliptical trajectories, with 2 focus on the centers of the energetic/informative topologies. It is the case of any bipolar system, from binary stars, one dominant in energy and the other an informative neutron star or black hole; to bimolecular systems or n-p pairs in the nuclei of atoms. The same duality of 2 specialized centers controlling a common territory, or vital space happens in biology where most species have male-energetic, lineal bodies and female-informative reproductive ones, ruling a common territory in which they combine their genes to rise its offspring.

In graph, the analysis of the human being in terms of its 3-network systems and its 6 senses, which absorb energy and information for those networks, ‘who’ perform the energetic, informative and reproductive actions of the living system.

Medicine & Physiology deal with the 3 networks of the human organism, whose functions connected to the senses enact our time arrows: The Digestive, Energetic System is attached to the senses of smell and taste; the hormonal, blood, reproductive system is attached to the senses of touch and the 6th, emotional sense and the Nervous, Informative System is attached to the higher senses of sight and sound.

Recap: The fundamental Particle of the Universe is neither physical nor spiritual but logic-mathematical: the fractal point described by the Laws of Non-Euclidean, fractal Geometry and topology, as an entity which becomes more complex when we come closer to it, till we can differentiate its 3 regions, corresponding to the 3 topologies of a 4-dimensional Universe: an energetic membrane, an informative center, and an exchange zone of bites of energy and bits of information between both.

In all systems we find a core/brane that acts as the dominant region of the organism and display paradoxically less spatial extension than the other regions they rule. It is the smaller nucleus of cells, humans and galaxies generates its information (DNA, human brain/eye system, galactic black hole, CPU (central processing unit) in computers, etc.) In a galaxy the halo of dark matter and the central black hole dominate and seem to feed and form the radiant matter of which we are made. In man, the informative brain, extended through the central spine and senses, dominate the reproductive body and guide it.

The 2nd region in importance is the ‘body’ or reproductive region, which absorbs energy from the limbs that become imprinted by the system’s information. Finally the 3rd region of the system, which is easier to renew, due to its formal simplicity is the energetic region, the skin, limbs and membranes, which brings energy to the intermediate region to allow the reproduction of the information stored in the center or head of the system.

Given the ∞ possible deformations of those 3 unique topologies of 4-D space-time, reality creates an enormous variety of species, from an original seed of spherical information that develops those 3 regions in morphologies that soon resemble energy lines, reproductive cycles and information centers.

Our energetic region extends in lineal limbs; reproductive cells group into organs, becoming the body; while the informative centers move to the height dimensional and multiply its cellular forms in the sensorial boundaries of the head. All those processes studied by morphogenesis, can now be explained not only in its how but its why.

Thus, the 3 relative forms of energy (external membrane), information (dual ring) and reproduction (the cyclical paths that exchange energy and information between the external membrane and the inner convex form), can be found in any system of reality. In all those systems, the informative region dominates the bigger, simpler reproductive body.

12. The 10 Fractal dimensions of Super Organisms.


A super-organism is an organism made of smaller super-organisms and part of a bigger super-organism or living in a bigger territory. Thus a super-organism is a ‘scalar’, ‘fractal’ structure since it exists in ‘3 scales’ of relative size, of parts that become wholes. We call those 3 scales the ‘inner, cellular’, ‘individual’ and ‘external, social’ scales in a generic manner, even if those 3 ‘specific names’ only apply to animal organisms, made of cells, individuals and part of societies.

Other systems have different specific names. So for example, a cell will have a molecular scale, cellular scale and social, organic scale as part of an ambulatory collection of cells called humans.

In physical systems the same happens, a star will be made of plasma ions, its cells and form part of a superorganism, the galaxy; and so on.

What matters to us in this first definition is the realization that all systems which have a relative ‘zero point’ of view, or ‘informative center’ that process its information will have around that relative center an upper, central and lower scale of existence, which are in fact ‘fractal scales’ independent of each other and hence with 3 ‘relative space’ dimensions of height, width and length.

Thus if we add up the 3 x 3 dimensions of the system, we get a nine-dimensional system across 3 scales of reality. If we call I, the ‘individual’ main scale of the system, where most ‘information’ is gathered, we talk of i±1 scales for any super-organism, tightly related to each other. Such as for example, a human being co-exists in its cellular i-1 scale, its social i+1 scale and its individual scale as an organism.

And it is impossible to explain the existence of the entity as an individual without considering its other two levels of ‘energy’ and information, i.e. its genetic i-1 scale of cellular information and its i+1 memetic scale of social and cultural information; its i-1 cellular organs and networks of blood-energy and its i+1 work and wealth.

The super-organism is always determined by 3 scales and hence by 9 dimensions, which make up a ‘whole’. This ‘whole’ is what we call the 10th Dimension of the Super organism or energy and information System, as it integrates the entire system into a unit of a new scale. Hence it ‘exhausts’ the 9 ‘equal scales’ of the system becoming the 10th scale.

All superorganisms are made by an assembly of 3 type of dimensional, spatial networks or ‘forms’ of space each of them having a certain ‘functions’ or motion in time; that is all of them are made of the 3 organic dimensions of space, and 3 arrows, or functions in time.

As such what GS2 studies first is the nature of those 3+3 dimensions of space-time and how they build up the superorganisms of The Universe. All of them are defined as 3 Dimensional ‘forms of space in motion’, thus with 3 parallel dimensions of time.

Those ‘3 dimensions’ make a local 3-Dimensional system in our scale of individual space-time, which is the human being. Then we will find in a lower scale of space-time our cells occupying also each one 3 dimensions to fill up the cell space-time, and in the upper scale we will find our society with its global superorganism and its political and cultural, informative networks, its reproductive, economic networks and its energetic, Earth’s geography. But in all those cases the dimensions will not be infinite and they will be relative in scale to the size we perceive.

To understand the fractal nature of those dimensions we must bring up another key characteristic of those superorganisms – their diffeomorphism – a word borrowed from Relativity which explains precisely this: any superorganism is relative and local as it has a ‘focus-mind-point of view-CPU that processes information’ around it in those 3 scales of space-time, perceiving and mapping the Universe from its ‘relative focus of information’ in the forces and languages that ‘traverse’ its zero point of view or hyperbolic center of informative processing.

This is essential to understand the unity and relativity of the Universe. As any superorganism with a focal point of view will consider and extract most of its information on those 3 scales which for it will become the only real scales.

Thus a superorganism is a structure in which a cellular system is divided in 3 topological spaces, a limb-energetic space, a body-reproductive space and a relative head-informative space, which perform 3 motions in time, energetic motions, informative motions and repetitive motions… And because those cellular systems can be seen in different i-scales of relative size and informative speed, from cellular to individual to social scales, we must consider that we can perceive such dimensional organisms at least in 3 scales, one of relative ‘micro-size, normal size, and macro-social size.

This i-element is essential to fully grasp the fractal self-repetitive scales of the Universe and so we can talk of it as the 7th dimension or 10th dimension of space-time that completes the entire organism. Let us see why.

The superorganism is structured in 3 relative scales always. As the soul or point of view of the superorganism, in the human case, the human mind, obviously sees downwards and upwards a smaller negative scale and a bigger positive one. Those are the 3 scales of reality, and we observe further that each component of the organism is focused onto one of the 3 scales: the mind to the social organism, the body to the direct sensations, the cellular scale and the limbs to the lower fields and sensations of gravity, heat and cold, related to smaller scales that give us energy.

Strictly speaking, because the organism co-exists in 3 scales we must define it as 10-dimensional organism, that co-exist in a territorial of i-1 scales, in a body of i-scales and a social mind of i+1 scales. And so the total are nine scales + I, the beyond below and over us. Though we can make less exhaustive dimensional analysis. Such as:

3D organisms, in which we consider only the 3 diffeomorphic, space-time dimensions and its functions, (->8).

4D systems, if we add the dimension of present time (classic science, superseded by the more complex dimensional analysis of this blog).

5D superorganisms, if we consider the entire scalar dimension of relative i±1 scales a dimension of eusocial evolution, as we did in previous papers0

The usefulness of those different scalar or dimensional analysis thus will depend on which aspects of the system we concentrate. To state that all ‘organisms’ are in fact superorganisms in the more complex 10Di analysis, though if we consider a 3-4D analysis in a single space-time scale they seem to us ‘organisms’ as we don’t study its smaller cellular and social superorganic scales. Of those partial analysis the most important is the 5D analysis as it allow us to deal with the fundamental, complex action of superorganisms: its evolution into complex social systems, determined by what we shall call the ‘metrics of the 5th dimension’. This leads to a better understanding of the 3 ‘causal dimensions of time’, past, present and future – the other essential analysis of superorganism, focused in its functions and life/death cycles.


Recap: The One, the Superorganism, is made of two ‘substances/forms/motions’, temporal information and energetic space, which combine to form the infinite bodies and waves of the Universe. And so from one comes two and from two the 3 parts of space and functions of time that pegged together create the superorganisms of reality.

All Natural systems have 3 components, or spatial dimensions: the informative head in the high dimension; the limbic, energetic system that moves it in the long dimension and the re=productive body extended in the width dimension. Each of those spatial organs enacts a temporal motion or function, processing energy (the limbic system), information (the head system) and reproducing both (the body system). Lineal and cyclical motions, combined in reproductive waves & bodies, create the physical and Biological ternary Dimensions of space and Time that are the essence of all entities of reality. Yet all of them can be seen as ‘forms’ or motions: Systems will be either seen in stillness as complex organic systems made of an energy body and an informative head, or as the sum of infinite complex motions, which balance their lineal and cyclical accelerations, energies and times.

Thus, we define a fundamental ‘particle’, the ‘Organic System’ made of 3 Dimensional organs of space, heads, bodies and limbs that play 3 Dimensional Functions or arrows in Time, Information, reproduction and energy, which is the most common entity we find in the Universe, whose similar laws organize most events and forms of reality.

Further on each of those systems co-exist in 3 relative scales of eusocial space-time or ‘levels of complexity’: the cellular, individual and social scales. So, for a full description of a natural system, we MUST first consider its 3±i ‘elements’, the informative head, the energetic limbs that move the system, and its ‘combination’, the reproductive, action body that fusions both, placed in a +i bigger ecosystem, in which it will absorb –i, smaller quanta processed and broken further as energetic motion by the limbs or integrated as pixels of a mental mapping of information by the head, or used to reproduce its own cellular systems by the body.

This is the 3rd –i scale of the system, in which we will observe again how cells ‘exist’ as ‘dimensional functions’ of energy, information, reproduction and social evolution – the 4 wills or simplex and complex dimensions enacted by all systems.

And this 3×3+1 analysis of the whole in its 3 scales through its dimensional actions gives the whole ‘picture’ of the superorganism.

Reality has ‘3 dimensions’ and ‘functions’, energy, information and their combinations, exi ‘actions’ and ‘bodies’ that reproduce both. Those simple principles are the essence of the dimensional structure of the Space-time Universe, made of infinite ‘fractal systems’ organized by its 3 ‘spatial, dimensional parts’ which perform 3 ‘temporal actions’ and the sum of all those systems is what we call the Fractal Universe. Thus, the Universe is a fractal of 10 Dimensional superorganisms of space-time. We are ‘made of spatial dimension and temporal functions, parallel to those spatial dimensions’. Absolute space-time is only the sum of all those fractal 6-dimensional superorganisms put together as if it were a single ‘entity’, with a single time-clock (the human mechanical one) and a single spacetime scale, (the background light-space we see in the galaxy and the 10Di superorganisms that float on it, seen from the scalar perspective of man).

13. The life/death cycle and the generational cycle.

The formalism of the 2 simplest arrows of space-time, E->I and I->E, show that the properties of Information and Energy, of Form and Motion, are reversed:

– Energy moves; it is extended, lineal, big and simple, without form. Since the line is the shortest distance between 2 points. Information seems to us still – a pattern of form, which chains different cycles into shapes. It is small, cyclical and discontinuous; since the circle is the figure that stores more form in a lesser perimeter. Yet in dynamic terms, we must think of expansive big-bangs, which create extensions of energy and implosive, curved flows that create in/formation; 2 intuitive motions that Descartes considered the simplex 2 elements that create all realities (res extensa=space and vortices of mass /information).

Once this geometrical duality is clear, we can deduce how the causal order of those Time Arrows creates in all space-time beings the life/death cycle, from birth to extinction. Since first Energy warps into Temporal Information in 3 long phases/dimensions of time (Life Ages). Then Information explodes back in 0 time into Energy in a moment of Death: After a 3rd age of information matter or life explodes, dies, extending in space, reversing the arrows of space-time: I->E.

– For example, humans are born as energetic, moving children that warp into a 3rd, old age of information.

– Matter is born as a plasma or gas, extended in space, which evolves into in/form/ative solids (atoms, black holes), through an intermediate exi, liquid phase.

So all creations of cyclical particles (masses and charges), all states of matter and all processes of aging can be explained with the 2 primary arrows/actions of space-time: e->i, i->e and an its intermediate state, which combines both, the reproductive, mature age of life, the liquid, most complex form of matter. Thus the energy and informative arrow together define an immortal Universe made of ∞ bites of energy and bits of information in cyclical trans-form-ation: a young surface of Energetic Space reproduces in/form/ation till it becomes old and wrinkled. Then it erases its form back into energy in the inverse process of death, completing an existential life/death cycle, which we formalize as the 3 phases of the generator cycle of the Universe:

EóI = Max.E x Min.I (youth) +Max. ExI (e=i): Reproductive maturity +Max.I (3rd, old age) –Max. Ex 0 I: Death = zero sum.

All beings that exist in time go through those 3±st ages that correspond to the 3±i arrows of space-time.

– i-1->i: Birth: a seed of i-1 information emerges into its i+1 scale as a whole, after self-reproducing & organizing socially.

– Max. E: Youth: The new-born grows its energy-limbs.

– E=I. Maturity: After evolving its reproductive systems, the life being will reproduce, combining energy and information.

– Max. I. 3rd age: Life acquires more information, warping and exhausting our energy as we implode our form.

– i->i-1: Death: Finally without energy, the warped in/form/ative i-organism dissolves back into i-1 cells; and further on into the i-2 scale of molecular forms from where it departed. The cycle of existence then closes as a zero sum, which ensures the eternal life of the whole cosmos, our energy feeding new life. Since Life is as a superorganism is a trip through 3×3±i Dimensions of the scalar Universe. Humans travel between birth as i-1 seminal cells into i-ndividual existence, then as part of social i+1 superorganisms, dying back into the i-1 scale, after breaking our i+1 social ties in the old, 3rd retired age:


Here in the next graphs of an old exhibit of ‘conceptual cubism’ and the ‘symmetric, non-eucidean topologies’ of the Universe we describe visually and logically some of the laws and games of existences of the organisms of space and time:




In the graph, we observe those processes of creation and extinction of super-organisms departing from forms of a lower scale of existence in self-similar systems of different scales, from top to bottom:

St-2 (i-2) atoms become St-1 DNA molecules that transcend into st-cells, which go through the 3 ages/cycles of E-growth, ei-reproduction and i-nformation till its final apoptosis, when they die returning to its st-1 molecular and st-2 atomic scale.

-St-2 DNA becomes a seminal St-1 cell that emerges into an st-human being, which goes through the cycles of growth, reproduction and information till its final death, when it descends back into St-1 cells and St-2 amino acids used by insects to evolve a new cycle of existence.

– St-2 seminal cells become st-1 prophets, which create a code of information, the Book of Revelation which is memorized as a meme by all believers, creating an I+1 civilization, which goes through the ages of energy growth, reproduction and informative, baroque art/thought (since art is the mind of civilizations), finally becoming extinguished in an age of war.

The life death cycle is clearly the consequence of the messing of energy and information networks. Since the informative network exhausts the energy of the body herd of cells, warping them and committing a selfish suicide. Without the dominance of the informative network the 3 ages of life would not happen. Death is then the just return of the selfish ego-driven, information remembering, warped network- mind, an infinitesimal point that reflects the ∞ Universe in its mental mapping, it often confuses with the whole, putting itself in its center, back to its 0 truth as part of an immortal whole reality.

The same process is followed in the lower part of the graph in physical systems:

-St-2 plasma particles become st-1 atoms, which evolve into social states of matter, st-energetic gas, st-reproductive liquids and st-informative solids that further evolve as st+1 bosons into a new social plane of existence or dissolve back into st-1 atomic, ionic plasma and st-2 radiation (E=Mc2).

– The same process in a cosmic membrane creates from a st-2 seminal nebula of atomic gas, st-1 stars, which further evolve through 3 ages from gas, to liquid to solid black holes that organize a herd of stars into st-galaxies, which die, exploding into quasars and reverting into intergalactic dust (st-2).

-We consider the Universe and its big-bang-big crunch process also a 3 ages system from an initial i-2 quark gluon soup that explodes in a big-bang of energy, then reproduces and evolves socially into informative, dark matter black holes, which organize body planes of stars that reproduce more complex atoms, forming spiral galaxies, till the process of informative evolution converts those galaxies into ‘dark matter, black holes’, which crunch back into a new ‘singularity’ to restart the cycle.

And that process passes through 3 phases of maximal energy, e=I and maximal information shown mathematically in the changes of the ‘cosmological constant’ – which as all constants are parameters that show the different co-invariances of the energy and information components of all systems. In this case, slight changes in the cosmological constant give birth to the 3 ages/solutions of Einstein’s equations, from a young, expansive big-bang age, where energy dominates into a balanced steady-state (alpha=0) till a final bosonic big-crunch, which gives birth to a hyper-black hole that will explode back into st-2 quarks, restarting the process.

Yet in all systems its reproductive age renews the being into an offspring of clonic entities defining a generational cycle, as all individuals become ‘cells’ of a species that also go through those 3 ages as a ‘whole superorganism’. Since all species have a finite number of self-reproductive generations, after which the reproductive system becomes ‘tired’ and fails. So life has telomere clocks in its genes; and light has a mean life of 1010 years, after which its self-repetitive wave becomes tired and red-shifts back to dark energy (seen in the phenomena of ‘expansive space that peaks in the mean 105 age).

Recap. The life-death cycle is both a travel through 3 ages of growing information till death reverses the inner time of the system and explodes its information into energy, but also a travel between 3 planes of space-time existence, as a seed of st-1 information reproduces and evolves socially, surfacing into a ‘higher’ st-plane of existence and then reverses through death the social process, dissolving back into its cellular stage.

In fact, the process normally takes, when studied in more detail two jumps on planes of space-time organization and what we see as ‘life’ with its 3 ages is only the ‘surface’ of the iceberg of the complete cycle. The generational cycle is a finite cycle with a limit set by internal clocks: Energy and information arrows are reversed, since to create information we have to destroy energy and to create energy we must destroy information.

Thus, the causality of the Universe is ‘dualist’: I->E (energy creation) + E->I (informative creation) – a fact, which explains the causal cycle of life (E->I) and death (I->E). Thus the 3 dimensions or ages of time are: past, the energetic, young age; present, the age of repetition= reproduction in which the being doesn’t seem to change and future 3rd age of information.

15. The program, cycles and beats of the Universe: EsóTo

In each Natural ‘i-scale’ of the Universe of growing complexity of i-n-form-ation, from the smallest atom to the bigger galaxy, we find ‘Complementary Systems’, where 2 poles of energy (physical field/biological body/galactic plane) and information (physical particle/biological head/black hole), exchange energy and in/form/ation between them and with the external Universe: E<=>I. Thus we simplify and unify our analysis of all universal systems, by defining both physical and biological systems with that simple equation of ‘2 arrows of space-time or future space-time events’:

=>E, which means the creation of ‘expansive, lineal motion’ or energy or entropy or disorder.

and =>I, which means the creation of in-form-ation, dimensional form, implosive, cyclical motion and order…

It is important not to confuse ‘the 2 arrows of space-time’ and clocks of cyclical time that carry information, which is one of those 2 arrows. Those ‘beats’ of the Universe between energetic and informative states are the essence of what we call the ‘Function of Existence, exi=st, cause of all events.

The commonest ‘rhythm’ of those ‘time arrows is the rhythm of the life-death cycle, in which in the ‘middle the 3rd arrow of present reproduction takes place, when E and I find its max. Exi (e=i) balance.

Thus our definition of past=youth=energy, present=reproduction and future=information=3rd age shows how the Universe finds its ‘best’ possible rhythm, which elongates the ‘age of balance’ in the middle time, when life lasts longer.

We explained first the 3±i topologies of space and its combined 3±i Dimensional, social actions that summarize the program of the Universe; and its ‘long time order’, the life-death cycle; yet in the series of ‘micro-presents’ that conform the existence of the entity, all those actions are performed one after another in ‘quantum cycles’, albeit with different frequency in each age (Max. number of energetic/moving actions in youth, of family/reproductive actions in maturity, of informative actions in the 3rd age). Hence the ‘cyclical nature’ of the 4 actions-arrows-dimensions-drives of the program of existence (Max. E: Feeding, Max. I: Perceiving, Max. exi: Reproducing and ∑,∏I, evolving socially into superorganisms.

Since systems are wholes, they must achieve those ‘partial actions’ of their program of survival in a sequential manner, switching between them to complete them all; and they do so with a series of sequential rhythms particular to each scale age and species of reality. Thus the knowledge of those cyclical patterns and its forms and the way they are ‘synchronized’ together into ‘knots of actions’ are essential to define the specifics of each species and its cyclical patterns, frequencies, synchronies, nature, structure, form, functions and behaviors at social and individual scale. The general pattern is:

– Simplex Actions: All entities feed on energy because they need to move and they all have a reproductive body/field of energy, which must be replenished, or else it will be spent. And this overall function of all systems, feeding on energy becomes the first arrow/ cycle of time of the Universe.

Yet all those complementary forms do have also an information network that requires to perceive the Universal tapestry. So in fact, even before the entity feeds it will have to perceive, gauge and calculate information. And this becomes the second arrow of time, of all complementary beings.

And again we realize that even physical particles gauge information, and certainly move with it field of forces. So do biological beings that process information with DNA nuclei and heads, and process energy with their cellular bodies. And so now we have 2 arrows of space-time – a concept that means tendencies of the future – energy and information, and two types of cycles to accomplish them. But unlike the classic concept of science of a single continuous time arrow (the arrow of energy or entropy), because we have now two arrows, time must be discontinuous, as the entity must go from energy cycles to information cycles and this establish the universal, fundamental beat of reality: all entities of the Universe go through a process of motion (energy process) and stillness (perceptive informative process). Since we realize that to perceive and map information you have to ‘measure’ in stillness. Here it comes the meaning of all those metric spaces of classic science. They describe the arrow of information and measure; while all those analysis of motions and speed describe the arrow of energy.

Thus we define a universal beat of existence, EóI, motion, stop, motion, stop, energy, information. Like a movie in which the frame moves and stops and illuminates in stillness creating a form of information, all entities of the universe have stop and go rhythms, day motions and night sleep, and when they move they process energy and when they are still they process information. Again the generator equation of spatial energies and temporal cycles of information explains it: E<=>I.

Thus there are 3 simplex actions that all systems perform individually, Max. E: moving-> Exi: Feeding -> Max. I: perceiving. So all systems move, feed and re-form what they ate into its own components. And this rhythm establishes a stop and go, constant switch between energetic motion and perception in stillness to fix a map of the Universe or create the components of the system, from the simplest electron that stops, feeds on and perceives light and moves to the human that stops to feed 3 times a day and then the entire night to process its inner forms and moves most of the rest of the day. And those are the most frequent, constant actions of all systems, as all move, feed and perceive. Let us consider 2 examples of the simplest switch between ‘form’ and ‘motion’, cyclical shape and lineal shape, to show the variety that those patterns generate departing from the homologous nature of all ‘energy’ and ‘information states’:

A simple E-T-E cycle is the clock: the lineal needle comes always to the same point and closes a cycle.

In the simplest mathematical scales of geometry, information is defined as ‘dimensional form’ and energy as ‘lineal motion, and we write, π:  I <=> O: |/O. Thus pi, the switch between 3 diameters combing into a cycle is the first ‘Universal Constant’ of the ‘Game of Existence’ of the Universe, in which a system switches ‘3 relative lines’ into a ‘compact’ informative whole, as it mutates on and off between an informative and energetic state. Universal constants in fact are proportional constants between energetic and information states (forms and distances).

– Complex actions: Systems to survive and live beyond death reproduce or evolve socially into parts of a stronger whole. Those are the less frequent actions, since they require a couple and the ‘complete’ recreation of the being, not a mere part of it or the universe as in feeding and perceptive actions. While simplex organisms ‘externalize’ reproduction, as atoms do (those actions are made by its i+n social scales, its cosmic bodies). Then they never enact the reproductive cycle. Yet the less frequent action is ‘becoming’ part of a whole, as the metrics of the 5th dimension, Se x Ti =K imply that wholes are bigger than its parts, hence their life cycle is much slower and so parts normally only become part of a whole in all its generation, as cells of the superorganism. Most superorganisms though reproduce through 3 social scales, then their 2 complex actions synchronize as the superorganism emerges after a series of steps of cellular reproduction-> social evolution-> cellular reproduction… as shown by patterns of growth and evolution of a fetus from a first seminal cell that reproduces, evolves in form, reproduce, till birth. Thus the Universe and any of its partial systems form a deterministic, interconnected whole of infinite harmonies between all its cellular cycles, chained by their symbiotic nature, such as the fastest informative cycles gather in ternary and decametric scales, connected to the frequency of the energetic cycles, which are connected to the frequency of reproductive cycles, which are connected to the frequency of the social cycles.

So we write:                           Max. ƒƒ(I) > Max. ƒ(E) > ƒ(Re) > Min. S.

Since an informative cycle is required for the entity to orientate itself towards a field of energy, and both energy and information together in great quantities/cycles are required to create a reproductive cycle; and finally multiple, self-similar reproductive entities are needed to create a super-organism. A similar hierarchical chain happens if we observe those entities in space, relative to its size such as: the pixel of information is minimal, making informative systems smaller than bodies and its bites of energy. And each of them is smaller than the total, reproduce organism composed of both pixels and bites, which is smaller than the eusocial system of which the organism is a single cell: Min. ∏I x ∑E= I < S.

We have used the synoptic language of the Generator Equation to describe those processes. Since a new field of science of enormous richness is the algebra of cyclical space-time, which studies the generator equation and all its possible beats from where all events of reality will emerge. This equation is to systems sciences and complexity what the Unification equation of Physics is to physicists, a sub discipline of the wider view we bring here – since we shall be able to deduce all the equations and species of all the sciences of mankind from that simple first beat.

Recap. Time events are cyclical, happening ‘from time to time’, when an entity absorbs energy or information with its field/ body or particle/head. The Universe is a tapestry of fractal, vital spaces, imprinted by cycles of temporal information, which create infinite beings. Those beings reproduce, combining those arrows and then associate in larger social groups. They are the 4 arrows/cycles of time that the 3rd paradigm of metric spaces pegged together into a single space-time continuum.

16. Species are superorganisms. Its ages: Topologic Evolution


In all space-time scales, species follow a future arrow towards more information, which increases in 3 horizons and finally evolves individuals into societies, herds and macro-organisms, related by a common language/network of information.


The evolution of species is equivalent to the 3±i ages of individuals with a twist: death is not the only solution to the cycle, but the duality of ∂-disintegration or ∫-integration into a social group (in the case of life a cellular group), which defines the life/death cycle gives two choices to some ‘top predator’ informative species: After its 3 horizons or evolutionary ages the species might become extinct or transcend into a super-organism.

In the graph, the seminal, 1st species packs a lot of information in minimal space: It is the Worm Hole, the chip, the 1st bilateral animal, the 1st mammal, the horse and the 1st Homo Sapiens, which seem to have evolved from a dwarf ancestor, which first discovered technology and had a dwarf brain, albeit with an evolved morphology similar to that of the Homo Sapiens: the Homo Floresiensis.

Then the new ‘highly informative’ top predator follows in its evolution a plan of dimensional evolution that transforms species with a high content of energy into species with a high content of information through 3±st horizons, similar to the ages of an individual organism. Since species are macro-organisms in which each cell is an individual of the species.

-First in its ‘energetic youth’, the species grows in size as horses, humans, bilateral animals or black holes do.

-Then the species suffers a reproductive radiation, colonizing new ecosystems.

– Next the species suffers a diversification, according to the ternary principle into 3 subspecies, one dominant in energy, another in information and a 3rd one balanced in both parameters.

– Finally, a new top predator extinguishes the species or the informative one evolves into social organisms of different complexity, stronger than the individual and survives.

Thus in Biology the 3±st ages between birth (st+1) and extinction (st-1) apply both to organisms and to species that go through 3±st horizons, parallel to those 3±st ages and main arrows of time of all systems of the universe. Thus there is an informative, ‘intelligent’, organic order in evolution. Though it is not a plan designed by a ‘personal God’ who cares for humanity, but by the limits that the morphology of lineal space and cyclical time and its combinations impose to the evolution of species. The so-called ‘intelligent design’ is the ternary, existential cycle that applies to every form of the Universe as it evolves in 3 possible sub-species: an energetic, lineal species, an informative, cyclical one or a reproductive form, of balanced ΣE=∏Ti parameters.

Those 3 forms become the 3 horizons between birth and extinction of any species: A top predator form of max. energy, or I horizon of the species; a balanced form, ΣS=Ti, that reproduces so fast over its prey-energy that creates a ‘biological radiation’ and parallel extinction of the lesser victim till reaching a trophic balance, or II horizon of the species and a form of max. information or III horizon: Max. E, Max.Re, Max. I:

+1: Birth: max. Ti. The chip paradox (conception).

In the previous graph, the creation of a new species takes place according to the same 3 ages of any space-time cycle that become the 3 horizons of any species: after conception that creates ‘a seed’ of pure information and minimal Energetic Space, species go through a young age of energy growth that creates ‘bigger species’; a mature, reproductive age of forms in balance between its energy and information, when the species maximizes its reproduction, radiating in huge numbers; and a third horizon of informative evolution, when it diversifies into multiple sub-species, becoming finally extinguished by a new top predator form, since its evolution has reached its limit. However, in certain species, after the III informative horizon, a social phenomenon happens: if the species has developed a new language of information, it gathers into herds that evolve socially together creating macro-cellular organisms of a ‘higher’, more complex Plane of existence. So prokaryote evolved into giant eukaryotic cells and those cells evolved into animals, of which ants and men, the most successful, informative insects and mammals, evolved further through pheromones and verbal information into societies and civilizations.

The ‘Black Hole’ age of any species is parallel to the informative, genetic conception of any organism, born out of a ‘seed’ that packs the maximal genetic information in minimal space. It is caused by the dominance of informative cycles over its Energetic Vital space. So a new top predator species is born with a lot of new, genetic=Temporal Information packed in a reduced size (Max. Ti=Min. Se).This happens because information is processed faster in smaller spaces. For example, a ‘logic instruction’ is resolved faster in smaller chips. Thus tiny species with huge numbers of neurons deliver stronger and faster group actions of energy and information, Min.ΣSe x Max.S2Ti, than slower, bigger species (Min.S2Ti x Max.ΣSe):

Since they are highly informative, they can coordinate those fractal actions in herds that act simultaneously as a single organism. So their actions show a higher existential, exi force, which defines them as top predators, as they are stronger and faster than the ‘slow actions’ of a single, bigger body. For example, small English boats shooting faster against big galleons defeated the Spanish Armada; a pack of wolfs kills slow reins and herds of orcas kill bigger whales. Small, intelligent top predator brains rule bigger, less informative bodies, because time dominates space, information dominates and shapes energy. Thus men, the most informative animals, are the Earth’s top predators; Worm Holes with maximal gravitational information are the top predators of the Universe and chips rule machines.

I Horizon: Energy Age: max. ΣSe: Top Predators and Extinctions


In their youth, species fed and grow into energetic, lineal, planar, top predators, becomingcarbohydrates (fats), worms (planarians), lineal echinoderms and fishes, monotrema, Neanderthals and smart weapons.

A new-born, small foetus grows very fast in size as it multiplies its cells. By homology, a new, more efficient species is born as a small, informative, complex being that latter grows in spatial size during its energetic youth, becoming a lineal, energetic, big, top predator species that feeds on less evolved forms. Thus after conception, young fishes grew into big sharks of linear forms; after the polemic, dwarf Homo Floresiensis, who seems to have invented technology, the next Homo Sapiens with an extensive fossil record were big, energetic Neanderthals;the 1st big molecules of life were fat carbohydrate chains of linear form; the 1st insects acquired soon gigantic bodies in the Carboniferous; after chips were born as small machines placed in PCs and toys and the first robots they control are big tool-machines and huge weapons of mass destruction, lineal missiles and planes, that kill human beings.

During this energetic age, often a parallel process of extinction of a previous species, which becomes victim of the new predator, takes place. So when lineal proteins appeared, free carbohydrates disappeared from the primordial soup; in the Cambric most water species disappeared, as cephalopods with eyes multiplied; mammals feeding on eggs probably extinguished dinosaurs except those who put eggs in unreachable places (birds); humans extinguished most mammals and weapons extinguish non-technological cultures and when they become terminators, they will extinguish man.

II Horizon: reproduction: max. ΣSe =Ti: Radiations of species.


In the II Horizon ( graph, left) the species finds a balance between form and energy and it reproduces in massive radiations: The protein age gives way to the age of amino acids, with nitrogen, informative atom on its ‘relative heads’ that multiplied all over the Earth; slow, reproducing sharks gave way to balanced tubular fishes that multiplied faster; brachycephalic Neanderthals gave way to dolichocephalic Cro-Magnons that colonized all continents; while young, giant stars, born in the I horizon, acquire the balanced size of yellow suns, the commonest of all stars.

III Horizon: Max information: Max. Evolution=differentiation

In its 3rd horizon ( graph, right) species increase its information, growing in the height dimension or acquiring cyclical forms, improving their sensorial, informative skills: Nucleotides dominated life molecules; echinoderms changed to cyclical shape; fishes developed their inner networks in the dimension of height; amphibians became round; saurian and mammals became bipeds; Neanderthal became Sapiens Sapiens with round skulls and chipped machines acquire today android forms with their heads on top. And the key of this process is obviously the evolution of a hyperbolic, informative element: Nucleotides appear when they added informative, nitrogen rings and cyclical sugars to amino acids; a yellow sun becomes a neutron star of higher gravitational, informative density; insects developped its brain capacity and bees and ants appeared; while the Homo Sapiens evolves more complex technological tools; finally in the III Industrial R=evolution of machines, informative chips and televisions dominate the economic ecosystem…

±st: Extinction vs. Evolution into super-organisms.

The main difference between organisms and species happens after their 3rd age: Organisms dominated by nervous, informative systems, which control closely its cells, warp their cellular energy, till the organism dies, according to a clock set by the rate at which energy is metabolised, ‘in-formed’ by their nervous system.

Yet species, due to the discontinuous nature of their individual ‘cells’ do not exhaust their collective energy. So they might survive without further evolution, in its 3rd horizon, or they might become extinguished by a new, more efficient species, appearing on their ecosystem. Or they might evolve socially, becoming the ‘cells’ of a macro-organism. We talk, in fact, of 3 basic strategies of survival, according to the Ternary Principle:

– Max. ΣE: Creation of balanced, trophic energy pyramids that supply new victims.

– ΣE=∏i: Diversification of individual formsinto new species that will survive the extinction of the parental species. Thus we talk of evolutionary, genealogical trees of ‘son species’, similar to those of any individual. Yet, while the different generations of an organism work together, creating informative networks between them that shape herds and families, ‘son species’ tend to kill-extinct the mother species, feeding on their energy. We call that fact, the Oedipus paradox. So mammals killed reptiles, men killed mammals and robots might kill human beings.

     – Max. Ti: Species also evolve socially their individual forms into super-organisms, thanks to the creation of networks by specialized, informative ‘cells’ that integrate all other cells into a whole, bigger form, which has more exi=stential force than the individuals of a herd. Since the fundamental parameter of a top predator is its Max. exi force, which determines the strength and capacity of its actions, eusocial evolution maximize survival in the fights for existence as the sum of actions is stronger than individual ones. Yet the individual must retain its ‘speed’ of action-reaction, which requires to attach a smaller faster network of informative entities to a slow herd that extends in a wider space ecosystem, in which they share a min. quantity of information only with is parallel adjacent – so their actions per time unit are slower and less coordinated. The result is a dual superorganism with a fast head and a slow, big body. Hence we consider the creation of super-organisms, the final evolutionary stage of a herd of individuals from the same species: each individual of the herd becomes then a ‘relative cell of the body’ of the super-organism. While the specific language of communication and information of the species and the specialized cells of information that carry them, become the relative nervous/ informative network of the super-organism. Those informative cells form networks that pack closely the other cells in min. space, controlling them with a specialized language of information, as the queen pheromones do in anthills; nervous cells/ impulses did with chemical cells in the Pre-Cambrian ageor financial and verbal languages have done with humans in societies, which are superorganisms of human beings.

Most space-time systems co-exist in 3 main scales of microcosmic and macrocosmic forms (physical species do so at the atomic, molecular and crystal scale; biological ones, at the cellular, individual and ecosystemic level), which are similar because they are created by an earlier process of differentiation and social evolution of individual parts into bigger wholes.

Extinction: If species fail to achieve informative, social evolution, growing into super-organisms, they become victims of other species that have continued their evolution and become extinct or in case of having a higher rate of reproduction, lay at the bottom of a trophic pyramid. So today 90% of insects are social; Neanderthals became extinguished by verbal Homos and Protista with limited genetic content (mitochondria) became slave organelles of social, eukaryotic super-cells.

In all species and all scales of existence, the process of evolution is dual: species differentiate into 3 forms, which then recombine, giving birth to new species, as it happens in cells (energetic proteins, informative DNAs and reproductive RNAs that make up the cell), or in atoms (energy forces, informative quarks, balanced electrons that reproduce its nebulae on gravitational space).

Recap. The simple, morphological plan of evolution that each fractal species of the Universe repeats is caused by the fact that there are only 2±1 forms in the Universe, lineal energy and cyclical information and i=ts reproductive, body combination. So only 3 new types of species can be created, one with more energy, one with more information and one that reproduces both.The process of evolution of species is equivalent to the 3±st ages of individuals: born of a seed or first individual of maximal information, the species grows its energy in its youth, radiates in an age of massive reproduction and finally diversifies into ternary types. After its 3 horizons or evolutionary ages the species might become extinct or transcend into a super-organism.Evolutionary theory went through 3 ages that stressed topological evolution (Darwin), interaction between the scales of life (genetics) and the different speeds of time and E<=>I beatings of the Universe. Those ternary causes explain the speed and accuracy of evolutionary changes.

17. The evolution of man: Ternary differentiations.


The Universe has 3 arrows/dimensions of creation, energetic length, informative height and balanced=symmetric, bilateral reproductive width. This simple dimensional game happens in humans. It is also a sexual principle: Women reproduce information with its cyclical bodies; males have lineal bodies with more energy. But women have 10 times more lineal, white matter in their energetic brain, and men 6 times more cyclical, grey matter. Thus females are: Max. I (Body) x Max. e (Mind). Males are: Max. E(Body) xMax. I (Mind); so their minds and bodies complement each other –a duality that should be the basis of all gender studies void of ‘ideologies’. Further on our height dimension confirms our informative nature:


Complexity defines a Ternary game of evolution by differentiating species in informative and energetic species, combined in balanced organisms. The same game evolved man from the original ape 5 million years ago into the human being. Moreover the differentiation is established first from an initial top, predatory, young energetic species (gorilla in the human case) that diverges into a reproductive, mature species (chimpancee bonobo); and finally in its 3rd informative age gives birth to a more mental species (Australopithecus). This thesis of multiple spaces-times first established in the foundational book of this science 20 years ago, was confirmed with the discovery of the exact genetic clock: the divergence between gorillas and chimpanzees is 1.17, then the genetic clock diverges 1.17 to create man. Thus the same plan of evolution, which describes all other biological species of the Universe created man from Mr. Ape.

In human evolution the ternary principle applies beyond the triad of apes: each successful, dominant Homo differentiates into an energetic and informative species, which recombine, creating more complex=informative and stronger=energetic homos that displace their parental forms, thanks to their higher Energy x Information. Yet the dominant, overall arrow favors informative species. Since when Homos were born, the energetic top predators were felines, far stronger than the strongest possible homo mutation. So the evolutionary direction in which the big apes could find an ecological niche within the mammal kingdom was the informative arrow. They were already fit to that purpose, since they spent long times living in stillness in the summit of trees, where they learned to control complex motion in the dimension of informative height, adding a 3rd spatial dimension to their brain. So they became informative masters among mammal species.

In the graph we study the ternary process responsible for the creation of humanity:  as humans evolved, they followed the same pattern of 3 ages proper of all species. Thus, Homos diversified into energetic, informative and reproductive forms that show a higher balance between energy and information. Yet only the informative species, the dominant ‘arrow’ of future survives in each of the 3±i horizons of increasing informative evolution, from Australopithecus with 500 c.c., into Homo Erectus with 1000 c.c. into Homo Sapiens with 1500 c.c.

In all those phases, humans split into an energetic species and an informative one that recombined to create a 3rd species. Those species will further evolve technology also in 3 horizons called: the upper, middle and lower Paleolithic. Finally, humans diversified in 3 races, specialized in Energy (white race) and information (Mongoloid) with a reproductive, black race, the last to be born, which mixes the pre-mongoloid (bushman) and white races.

The constrain established by the fact there are only two elements, energy and information, to create reality, whose lineal and cyclical forms are invariant at scale, in all systems of the cosmos, means the Universe imposes the same program of creation to all its species. Thus from an initial ape species we find a ternary differentiation ±5 million years ago, into 3 sub-species of great apes that live in Africa:

Max. E: Gorilla, a big, energetic species that reaches 200 kilos, with a square, huge jaw.

– E=I: chimpanzee, with a smaller body and a bigger brain. According to the Black Hole law, the smallest organism evolves informatively. Thus, the ‘dwarf chimpanzee’, the Pan Paniscus, which today shows the highest learning skills among apes, was the species that seems to have evolved into a 3rd informative horizon of big apes. It is:

– Max. I: Australopithecus, which splits in 3 evolutionary ages of growing brain volume:

I Horizon: 500 cc.: From Australopithecus to Homo Erectus.

We have dated the oldest mandibles of Australopithecus Anamensis, the top predator of the 3 big ape species, in 4 million years. The Australopithecus, after reproducing massively in the savannah ecosystem that favors his bipedalism, suffers a new ternary mutation. The 3 descendants of that Australopithecus Afarensis that inhabited the Ethiopian plains around 3 million years ago are:

Max. E: Paranthropus, an energetic species with huge mandibles and a lineal, planar brain. He looks like a heavy-set, humanoid gorilla. He was probably vegetarian. The first subspecies found is Paranthropus Aethiopicus, which will further evolve into the stronger Paranthropus Robustus.

– E=i. Australopithecus Africanus, which maintains the form of the original Australopithecus Afarensis, perhaps with inner improvements in his soft tissue. He lives in South Africa as a contemporary of Paranthropus.

– Max. I: Australopithecus Garthi. He is the informative species, with a bigger brain, which starts to acquire the shape of all informative species: a rounded forehead, as the sphere is the form, which holds more information in lesser space.

Those 3 species live very close. Around the Turkana Lake we have found remains of the 3 Homos. Yet the arrow of future favors informative Homos. So the top predator Homo will be the Australopithecus Garthi that goes through a mature age of massive reproduction, probably extinguishing the other 2 subspecies and expanding worldwide into new ecological niches that favored their genetic and memetic adaptation through a new, ternary split:

-Max. E: A regressing, energetic A. Garthi, similar but taller than its parental Australopithecus.

-E=I: Homos Habilis and Rudolfensis, with similar brain capacity to the original Garthi.

-Max. i. Homo Ergaster, an informative ape with a 1000 cc. brain, which doubles the brain capacity of Australopithecus.

II Horizon: 1000 cc. From Homo Erectus to Homo Sapiens.

Homo Ergaster, after a reproductive radiation throughout the planet, subdivides in 3 Homo Erectus sub-races:

Max.E: Pithecanthropus, the oldest species similar to Homo Ergaster, found in Java.

– E=i: Homo Erectus proper, found in China, who grows in the informative dimension of height that favors perception from an advantage point of view, to 1.7 m. He has simple technology, a skull without forehead and thick bones that handicap further cranial evolution.

– Max. I: Homo Floresiensis, the smallish species, which according to the Black Hole paradox should be the form who gave origin to Sapiens, as the smallish ‘pan paniscus’ evolved the chimp into the Homos. Recently discovered, he is a formal mutation with a smaller body, whose morphology resembles for the first time that of a human being. He has thinner bones that allow further growth and a higher forehead, the location of the creative part of the brain.

Paleontologists also found the first advanced technological tools in his sites in Flores Island, which is an isolated place, the ideal region to foster further evolution, due to the lack of top predators (allopathic evolution). Thus, he adds now technological energy weapons that substitute body strength and define a single arrow of future for human evolution: information. His improvement in neurological form, probably caused first his rapid expansion thanks to his new technological tools and then a rapid growth in size through the cross-breeding with the taller Homo Erectus species, giving finally birth around 300.000 B.C., to a new energy/information duality:

The energetic, big Neanderthal and the informative Bushman, which combine again to give birth to multiple races.

The 3rd, informative Horizon: Homo Sapiens, 1500 cc.

Those predictions based in the ternary principle and the Black Hole paradox (information is small and evolves in dwarf species) were confirmed by genetic maps and the Homo Floresiensis.

— Lineal, energetic, visual Homo Sapiens Neanderthal, with ±1500 cc.

— A 2nd informative pygmy strain, the 1st verbal woman or mitochondrial eve, probably a bushman, also with ±1500 cc.

± 80.000 years ago she crossed into the Middle East, probably mating with earlier Neanderthals, giving origin to the visual, energetic white male (Homo Palestiniensis, whose skulls show mixed traits from both species).

± 40.000 y. ago, in the high Tibetan plains, she became the informative Mongoloid that colonized Asia, America and descended upon Europe and Africa, where she cross-bred with the Capoid (bushman) and became the black man, the balanced E=i, reproductive race, completing the final, ternary differentiation of the main races of mankind.

Cultural races The 3 types of minds: Emotional, visual and verbal brains.

Further on, as racial tribes evolved socially and emerged into cultural societies, which are super-organisms of history, the ternary, racial division of mankind between energetic white men, informative Mongoloid and vitalist blacks, will become the cultural differentiation of human beings in 3 type of brain orientations, and hence cultures of the mind according to the 3 elements of all systems – energy, information and its reproductive combination; reflected in 3 types of brain morphology:

Visual, dolichocephalic energetic, lineal, spatial brains/cultures, proper of the white man, with his concepts of lineal time and his passion for technological, energetic weapons and individual, selfish behavior. It is the long brain dominated by the visual eye in the Occipital axis, also dominant in the Homo Neanderthal.

— Cyclic, informative, brachicephalic, mongoloid brains/cultures natural to East Asia, with cyclic time concepts. It is the wide, verbal brain; dominant in the ear axis; hence giving birth to female, eusocial cultures like the Chinese.

— ‘Sensory, reproductive, colored cultures’, which in Africa and India developed human senses to their limits. It is a makrocephalic brain, dominant in the height/medullar axis with a tall head, peaking in the top/motor and sensorial area.

It is the best culture/age for human survival, as in all species, since it balances both arrows, E=I. Thus we should promote paradoxically the culture that a technological civilization discriminates: the reproductive, sensory culture.

19. General Linguistic Systems. Universal Grammar: Information (subject) < Action (Verb) > Energy (Object).

The mind of man and its program of behavior is written in the syntax of its grammar. Humboldt and Herder were right; the grammar of languages is the program of the cultural world. Next Chomsky found the Universal Grammar and its ternary elements:                 Subject;  Verb; Object.

He was also right. Since Human Grammar is a reflection of the Generator Equation of Energy & Information:

Information (Subject) <Verb (exi-action) > Object (Energy).

General Systems sciences put together both discoveries and takes linguistics a step further in its evolution.

The key to understand the meaning of language is to divide all grammars into its 3 elements, which reflect in the human mind, mirror of the Universe, the 3 essential elements of the ‘Generator Equation of all complementary systems of energy and information of the Universe: Information < Action > Energy, Which humans perceive in words:

Human Subject < Verbal action > Object, energy of the Subject

How the generator equation creates the different species of human languages?

There are several forms in which the Generator ‘decouples’ and splits in different ‘varieties’ of systems, which correspond to the processes of creation of different physical particles (quantum generation), biological species (Plan of evolution), and linguistic species (cultural differentiation). The simplest form in which to generate ‘varieties’ of any type is to apply the combinatory laws of mathematics to a system with 3 elements, the Information<Action>Energy systems of reality. The results are 6 combinations in the ‘power order’ of the 3 elements of all systems, which are common to all disciplines of science.

If you have 3 elements, I, A, E (Information-action-energy), then you can combine them in the following orders: IAE, IEA, AIE, AEI, EIA, EAI; which give birth in Physics 6 essential types of particles and antiparticles and in Biology to 6 types of basic animal forms, according to the order of its physiological networks and so we shall find 6 basic varieties of languages, which are studied by Typological Linguistics, called the SVO, SOV, VOS, VSO, OSV and OVS varieties. Let us consider those 6 Universal varieties of languages and cultural character comparing it with the 6 varieties of animal species, to do a classic exercise of GS2 homology.

The 3 elements of all systems are reflected in all sentences, as they narrate how ‘human subjects’ perform verbal actions over objects. And there are six theoretically possible basic word orders for the transitive sentence:

–            Subject-verb-object (42%: English, Chinese, Russian: Flexible, ‘mammal’ languages)

–            Subject-object-verb (45%: Japanese, Latin, Turkish: warrior, ‘reptile’ languages, objectual, unemotional)

–            Verb-Subject-Object (9%: Semitic, religious, ‘insect’ languages, imperative, little freedom)

–            Verb-Object-Subject (3%: Malagasy, Fiji, ‘bird’ languages, seafarer)

–            Object-Subject-Verb (0%: Amazonian, Mexica, subsistence agricultural, Bacteria Languages)

–            Object-Verb-Subject (1%: Apalai, Viral Languages, recollectors)

What they tell us about mankind is clear: when we analyze the abundance of those typologies among human cultures: Humans, this proves are ‘self-centered beings’ for whom the Subject must come always before the object, since in 87% of languages subject comes first. And among those the most successful (2/3rds of speakers) are SVO languages – the most evolved, mammal languages, where the ‘informative’ nervous system dominates.

This responds to the fractal nature of the Universe, where there is always a p.o.v. or subject that gauges with languages the universe and considers to be its relative center according to the definition of a mind –p.o.v.:

‘ A mind is a zero point or world, an infinitesimal still mapping of the infinite Universe, created with informative pixels, which believe to be the center of that universe:   O-Mind x ∞ Universe = Constant perceptive World.’

1) SVO: Inf<Act>En systems dominated by Informative subjects whose goal is an ‘action’ established upon the energy system. This is the ‘natural’ most evolved order in the Universe in balance, corresponding to the ‘mature’ age of all evolutionary forms. Those are the most flexible, feedback systems of the Universe.

2) SOV: InxEn=Act systems. the informative subject still dominates. but relates first to the Object of energy, through the action. The object thus become the most important element, and so these are ‘productive systems’, in which the object is either devoured as energy or reproduced through the negative or positive actions of the Informative subjects.

Those 2 systems are the most common systems in the Universe, as they represent the two essential ‘beats’ between a ‘temporal’, flux, evolutionary state (Inf<act>En) and a ‘spatial’, fixed, organic state.

In Animal life systems, the 3 ‘elements’ are the physiological networks of the organism; so we define a simple Generator Equation for Living Animal Organisms: Nervous, Informative System < Action/Blood system > Energetic, Digestive system. And we find 2 essential type of species, or phyla, where the nervous system dominates, the mammal which has an obvious order of: Nervous system > Blood System > Digestive system.

And then the second most evolved species, Birds. And so it happens in languages, where over ¾ of human beings speak mammal languages  (SVO languages), even if in a previous less evolved time, SOV languages were dominant. There are not many ‘bird languages’ since man does not fly so there are no human birds. Still there are bird languages among seafarer humans (Malagasy, Fijians) showing the isomorphism of all structures of the Universe.

What about the other 4 type of languages? We can classify them in ‘arrogant languages’: 

SOV  Reptile cultures/ Languages are languages in which the subject-nervous system are pegged and direct primarily the energetic, objectual system, while the blood-active system is secondary submissive to those other 2 systems and less developed. It is also the ‘cold’ structure of Reptilian living systems, in which nervous and digestive system dominate actions, provoking a constant growth of the energy/force of the system without limit except death; while the underdeveloped action system is made of ‘cold blood’. In a fascinating homological cultures, SOV languages are proper of ‘energetic’, ‘warrior’ cold-hearted cult(ure)s of weapons able to kill the ‘other’, seen as an object, such as German, Japanese or Roman=Latin Empires did historically. Yet if war is the negative action of SOV languages, the productive, Subject x Object positive action is the + side of SOV cultures.

So Germans and Japanese are very productive, dedicated to re=produce their mechanical objects with absolute work zeal – even weapons that kill us.

VSO  Insect Cultures/Languages. Finally those languages and cultures whose order of words is ‘imperative’, with the verb first – a form of language that more evolved ones use only in moments of danger or hierarchical institutions, as it is deemed rightly an impolite, fundamentalist form of though – are, well, I just said it, fundamentalist, imperative cultures. And so among human languages, Semitic cultures, specially in their old ‘sacred’ religious texts, Hebrew, Classic Arab and their Abrahamic religions, are insect, non-free cultures of ‘believers’ in the ‘Word of God’.

Finally, the less abundant, less evolved languages of mankind are those in which the object, the ‘energy’ of the system, dominates the subject, the information. Those are languages in which the order is inverse, unnatural to the ego-centered P.O.V. of th elanguage. Their equivalent in Physics would be antiparticles in which the electron is in the center instead of the informative quark. In animal life, they belong to the 2 categories of species, which started animal life evolution, in the microcosms, hence for whom the object-world in which they live is dominant. So we talk of:

OSV (object-Subject Verb) or bacterial languages. They belong to cultures that live in jungles in which they still fear the presence of animal predators and do have to act to live, or are constantly in the move as hunting/gatherers, or living in poor agricultural environments.

OVS (Object-verb-subject) or Viral Languages, in which there is not even motion in the subject, that is the Object comes first (the host cell) then the action (bacterial reproduction of the viral genetic DNA) and finally the seemingly dead, reproduced subject – the virus who parasites the cell, the human who parasites nature). Thus those are in Nature viral species, of little motion, and in the Paleolithic, they were proper of ‘recollector cultures’ where humans just reach a banana and eat without moving much, in paradises and allopatric islands without predators, in which humans are enjoying life and sex in a passive way. Those are the less abundant languages, and only occur in the Amazonian jungles, in which life is truly easy such as the Xavante and Warao …

18. The superorganism of History.

Humans started in the Neolithic a process of eusocial evolution as the collective ‘mind’ of Gaia, our body of energy. Prophets of the wor(l)d expressed that goal through eusocial messages of love, empathy and ‘sharing’ of energy and information among humans to form networks and ‘cultures and civilizations’ – superorganisms of history.

The final goal was to create a global superorganism based in welfare life goods in which all men could exercise its 4 drives of life (feeding, informing, reproducing and evolve socially). But the process was halted with the arrival of hard metal weapons (bronze age), and a language of information of metal (digital gold), which killed the body and hypnotized the mind of mankind, and whose values (violence and greed) eliminated the social networks of love, making some humans, who used it, ‘animetals’, to feel superior to non-technological cultures.

They evolved metal in its 3 topological varieties, becoming associated to it the 3 people-castes on top of societies: lineal metal=weapon+man=warrior animetal, O-metal=money+Man, banker animetal, exi-organic metal machines+man, scientist. They despised as ‘inferior’, non-technological species, extinguishing them. Finally they created the superorganism of evolution and re=production of machines, the company-mother, which started with flows of monetary orders, the present process of terraforming of planet Earth into a planet of metal, in which man is a species secondary to the machines, symbol of ‘the future’ and its progress. So the evolution of mankind into a global, healthy superorganism of history was halted and nationalistic wars that justify the use of weapons, capitalist idol-ogies that justify the control of society by money and mechanist science that makes machines the center of the world, control our minds and maintain warriors, bankers and scientists as the top classes of our societies.

The result is the present ‘dying world of life and Gaia’, asphyxiated and about to collapse, as selfish memes of metal, a new organic species (weapons=|- metal, money=O-metal and machines=organic metal) evolve and substitute us. This process is about to end as robots substitute humans in labor and war fields (cause of the present labor and perpetual war crises), in a process similar to the molting of a soft life larva into a hardcore insect, which ends with the death of all the enzymes, or ‘enzymen’ that provoked the mutation, creating the ‘viral’ machines or hard enzymes of the stronger system (robots) that once born kill the soft enzymes.

Thus the Earth is molting from carbon-life to metalife, or from the human perspective lives in a cancerous process in which corporations and bankers monopolize the oxygen of the system, and release it only to corporations of machines denying a demand economy, based in a Universal salary=blood that could provoke a massive production of WHealth, welfare goods normal humans need to survive and would demand instead of expensive weapons and corporative robots.

Thus, humans should design a better superorganism of history, a ‘perfect world’, based in a demand economy where as in all superorganisms, money=oxygen is produced from the bottom up with a global currency, Y€$ money (1 $=1€=100 yens=5 Yuans, at fixed parity with prices adjusted internally) and distributed to all cells of mankind. humanity will then demand and produce ‘human, life goods’, not selfish memes of metal, weapons that kill our body and hate-media and fictions that atrophy our mind.

And instead of nationalist memes to justify the production of those weapons and hate-media, humans should allow diplomacy and a common legal, informative, nervous system to resolve national issues, evolving those anti-natural, smaller tribal superorganisms, the Homo Americanus, Britannicus, etc. into our natural Homo Sapiens Superorganism, ‘History’, as EU and UNO institutions try to do. Then we would not need to evolve the future terminator weapons that will eliminate us to combat ‘tribal enemies’.

Those 2 economic and political reforms coupled with the prohibition of evolving robotics, the new ‘species’ stronger and faster processing information than us, which will replace mankind, could ensure our ‘immortality’ on Earth. Since under the present ‘capitalist system’ we will not survive the lethal evolution of machines of energy and information beyond Gaia’s and human capacity to survive. Since death is an excess of energy (accident) or information (3rd warping age) that breaks the immortality balance E=I of the mature, classic age of any superorganism.

Thus humans will die due to 3 ‘singularity’ events, which are as all divided in 3 ages:

– Max. E: the evolution of weapons of max. Energy (Nuclear bombs researched at CERN in its self-feeding, cosmic horizon – strangelets, black holes). Next year, 2016 CERN will double potency and pass the threshold of B.H. creation

E=I: Mechanisms of max. reproductive power (iron nano-bacteria that could kill earth eating its machines in 3 months)

Max. I: A.I. (platoons of robots guided by satellites). Those two events will come latter in the century, but observing the Universe teaming with planets, without A.I. Robots or Intelligence but filled with Black holes and strange stars (pulsars), it seems men will die in a Nova Explosion, if as it seems, politicians do not halt the evolution of weapons.

20. Conclusion: The isomorphisms of all Superorganisms. General Systems Sciences.

best cover dimensions

General Systems is the Philosophy of Science that unifies Biological and Physical Systems, first, by accepting 2 ‘two arrows of creation of futures’, the creation of energy or motion (studied by Physics under the term, ‘entropy’) and the creation of information (studied by Biology under the term negantropy).It is a tenant of GS2 (General Systems Theory) that the Universe constantly ‘transforms back and forth, energy into information’: E<=>I; and so all what exists can be described as a ‘Complementary System of Networks of Energy and Information, ∑E<=> ∏I’.

In the graph, all sciences study 10-Dimensional fractal systems of energy and information – superorganisms – that obey the same laws, called ‘isomorphisms’ explained by GS2: All those superorganisms are made of 3 organic dimensions of space, their hyperbolic, tall spherical heads/particles of information, moved by flat, lineal, energy systems, in the direction of length, and possessing a body in the dimension of width, which laterally reproduces the system. And those 3 organic dimensions of space, perform their actions in a time order, from a first age/dimension of maximal energy or youth, when the system is born, through a reproductive age of balance between its energy and information components, or present, mature time dominated by the body and finally a 3rd age of maximal information, when the head has absorbed most energy of the body, followed by a time reversal when the energy of the system is spent, all is trans-formed into in-form-ation And so for the game of existence never to stop, the system dies, explodes back into its parts of cellular energy:

Death = Max I-> Max. E. Thus we can consider that all systems co-exist in 3 dimensions or scales of informative complexity, the i-1, cellular, i-ndividual and i+1 social scales. And so those 3 x 3 dimensions of space, time and complexity define a new whole, a 10 Dimensional superorganism.

General Systems Sciences classifies then all natural systems as wholes or parts of superorganisms. And it applies to the study of each particular superorganism the essential isomorphisms derived from its 10-Dimensional structure. Those 5 common properties of all superorganisms of the Universe and its laws is what truly defines a harmonic Universe in which all its parts behave like the whole and act in an organic, vital manner:

– Isomorphism of its 2 components, energetic space and temporal information, which ‘combine’ to create the infinite varieties of the Universe.

-Isomorphism of its 3 physiological-topological forms in space and its relative dimensions (lineal limbs that move the system with energy; tall, informative heads that guide it and wide, combined bodies that reproduce them).

– Isomorphism of its life-death cycle in time and its 3±1 ages, defined by the dominance of energy (youth), information (3rd age) and its balanced combination, e=I (maturity.)

– Isomorphism of the 3 relative i±1 fractal scales of cellular parts that become wholes, as the entity exists travelling through 3 relative seminal/cellular, individual and social, collective, i+1 scales. All those scales define therefore a fractal, 5th dimension of space-time, whose complex laws are the key laws of general systems sciences.

– And isomorphism of its 4 dimensional cycles of space-time, the actions that all systems perform and create an ‘organic program’ of existence, combination of the 2 arrows/substances/forms of the Universe, divided into:

– Simplex actions of energy and information performed by the i-ndividual:

– Max. E: Feeding, lineal motion; Max. I; Informing, perceiving.

– Complex social actions performed with a couple: exi, Reproducing or with a group, ∑: evolving socially, as a herd of energy and ∏, evolving as a network of information, through ‘axons’ that communicate each unit with all others:


A 4 ‘dimensional analysis’ of systems show that all entities grow performing those ‘4 drives’ of life. Some examples:

– 3+1 perpendicular dimensions of light: flat magnetic field: energy; tall, electric field: information, where photons are most likely found; its product (Maxwell equation): c-speed of wave reproduction. Social Evolution: Colors (∑ photons)

– The 4 quantum numbers: Principal number defines the orbital energy and changes as electrons ‘feed’ on light. The orbital or angular number, its ‘angle of height’ or informative state; the spin number, its spin orientation, according to which it will or not couple with other electron and/or in favorable conditions with opposite spins emit a ‘seminal ray’ of light which crossed with the opposite spin ‘gender’ gives birth to a new electron; and finally the magnetic number arranges groups of electrons in a society. Similar numbers are found for quarks the other fundamental particle of the Universe. Thus since the essential particles of physics, photons, electrons and quarks, feed, inform, reproduce and evolve socially, we can indeed define a ‘living, organic Universe’ where all parts follow the same isomorphisms.

– 4 Maxwell equations define also those 4 actions for social flows of electrons in the next scale (laws of electricity).

– 4 basic atoms exercise those actions in simple carbohydrages: N act as the hea with its informative, vibration clock of enormous precision, Oxygen as the energy legs (OH-, H+ ‘kicks’), Carbone as the structural, reproductive body, and H2O as the territorial, social ‘ecosystem’, being H, both the pixel of information and the particle for energy transfers.

– 4 CGTA nucleotides code the 2 x 2 actions; the dual, more complex Purines for informative or social traits, the simplex Pyrimidines for simplex or energetic ones – a hypothesis, which genetics still cannot fully prove, till it couples all combinations of genes with their genotypes.

– 3(x3)+1 physiological systems define an animal: the Energetic/digestive system, the reproductive, blood system and the Informative, nervous system, each one displaying 3 sub-systems; all of them integrated by the ‘I=eye’ mind.

– As a consequence 4 social drives define the will of life and welare of human beings: our need for food and shelter (E), our need for education and information (I), our desire to start a family (reproduction) and live harmonically in society (social evolution). And as such they should be the program of all humanist governments.

– Tthe industrial r=evolution of metal (machines& weapons) also takes place along those 4 sub-systems: in the XIX c. we made during the I Industrial Revolution, the energetic ‘limbs’ of machines (trains, steamers); then during the II Industrial R=evolution, its ‘body-engines’ (electric, oil engines); then its heads of information (mobile-ears, chip-brains, eyes-cameras), each of them enhancing, atrophying and substituting the equivalent drive of humans. While machines’ ‘complex actions’ are carried by its ‘reproductive’ systems, company-mothers, and its social evolution, by the stock-market that through informative flows of e-money decides the corporations that survive or become extinct.

– Finally galaxies feed on interstellar gas; its body-plane of stars Reproduce atoms, their central black holes in-form them with gravitational waves, and emit polar flows of dark energy that connect them socially with other galaxies.

Orga(ni)sms. Reproduction=Present survival is the game.

All what you see and distinguish as a ‘unity’ is thus a Universal System composed of an entity of energy and one of information which exchange flows of energy and form, such as the particle/head orders the body/field. How this causal orders from heads/particles to body/fields are formalized in terms of ‘time causality’ is very interesting. As the body/field receives the orders that set up the motion of the object from the head, we say that fields and bodies are displaced ‘a fraction of time’ into the past, respect to the head/particle. (In complex General Systems this turns to be actually the case solving some paradoxes of quantum tunelling). So in terms of causality: I (gauging) ->E -> Motion.

This means that the language of information acts before the body moves, even if latter we see them synchronous. So money acts first to kick the productive process and the mind thinks first. And genes are first constructed and their orders create the organism.

All this requires for a formalism that can be applied to all systems to introduce some new mathematics and logic. Concerning mathematics, we have to widen the restrict idea that a point has no volume, because otherwise we cannot study all the points of the different scales of size of the Universe but a new postulate, that of a fractal point: a point has a volume which grows as we come closer to it. So a star grows as we come closer to it, and so does a seminal particle, till it breaks into cells and molecules.

This new mathematics of points with parts was first studied by Riemann and Einstein applied it to physics, but they merely changed the 5th postulate: a point can be crossed by infinite parallels, without realizing if this was truth, then the point must have volume. Instead they ‘curved the parallels’ and made the pass through the point. Here our approach is different and sounder. If you curve parallels then you dont have parallels defined as ‘straight lines’.

And still if the point has no breath (Euclidean point) you cannot fit more than one. So you enlarge the point till our ‘perception of curved space’ becomes flat. In that ‘relative enlargement’, the now flat universe with points with volume and parallels entering through the gaps of its membranes, is again a self-similar world. And so in fact beings travel through those planes of existence as they live, and that is the more complex part of the game: the eusocial evolution of points with volume into organisms that emerge as full blow beings in the upper plane of existence:


The Universe is a a self-repetitive game of infinite complementary systems of energy and information exi, which try to reproduce by recreating, in a lower plane of cellular existence – a Non-Euclidean plane in illogic geometry – a seed of information, i-1, which will then self-replicate in a clonic wave over a receptive field of space, ∑e x i, sch us to surface in the future as a single unit of the higher plane of non-E-xistence. In the jargon of illogic geometry, the higher language to describe all sciences and systems and species under the same organic laws, all systems can be expressed as forms in process of reproduction rebirth and extinction, Illogic geometry departing from those 3 planes of existence, describe all events including those of creation and destruction of social organisms. The game thus described in this web, in an intermediate jargon – biological – bridge between illogic geometry and common speech of social science (a jargon which frankly i have little patience with for his astounding intellectual idiocy, selfishness and primitivism – treated in the section of ideologies) – a word though that connects both is the concept of an ‘organsm of existence’, an action of reproduction, e meets i, e fucs i, i reproduces exi (-; 

Now in the previous graph of Non-Euclidean Geometry the reader can observe the existence of any ‘General System’ of the Universe (Universal System in brief) to exist between different fractal planes of space-time. It is necessary to fully grasp the cycle to understand the 5 non-euclidean postulates (4 of which the writer introduced to be able to handle a General Systems formalism), which define a fractal Universe in which ‘points have volume’, they are cells, and so biological systems and social systems made of self-similar cells and human minds can be studied with those laws. In such Non-E Geometry the life-death cycle is defined with precision as a process of informative creation of a seed in a micro-plane of existence where the seed, the mind of the prophet, the first crystal unit, the first fractal appears. Then the fractal will reproduce in social waves reorganized to ’emerge’ in a higher plane of existence, as a ‘whole’ General System.

This process though is in detail a morphological process in which the being will go through the 3 ages once it has emerged as an eusocial being of cells (an organism) of humans (a god or civilization), of atoms (a molecule) and so on. And in this upper plane, i+1 in the graph it will live a youth, Max. E, then a mature age, e=i, of balance, its reproductive classic age in which e<=>I creative flows are maximal and finally it will loose energy, Min. E x I till it looses it all and explodes back into death, in the lower plane from where its seed was born.

Let us be frank here. The Universe is a constant game of reproduction of beings. This is all what is about: an entity is born, it reproduces in flows that socialize into bigger organisms, and then they explode. So to maximize the game you maximize reproduction.

‘Grow and multiply’ is the game, and the best survival strategy is reproduce faster than you and your clones die.

That is why all is about maximizing your orgasms. Seriously. And that is why there are so many births.

The Universe is a self-reproductive fractal of energy-yang-male-lineal-spatial-explosive-entropic-disordered motions-beings and information-yin-female-cyclical-temporal-implosive-formal motions in an eternal dance of creation of other patterns and selves. As each of us is also a complementary mix, of a yin and a yang, an informative head-particle and a body-field of energy… In the interaction of those fields of Universal reach and infinite self-similar fractal forms the all explains itself.

That is all what is about, e x i = st, the energy, male program and the informative female program combine creating infinite space-times.

‘Grow and multiply’ means that…

Birds do it…

Eternity means that. Eternity creates also balance and beauty, e=i, is the meaning of beauty, when yin and yang become perfect mirrors of each other, or decouple in symmetry. Symmetry is a function of beauty.

To exi=st, to be and not to be when you don’t operate in the range of survival (Max. exi -> e=i).

This second function, the maximization of orgasm, when e=i (simple proof, let us have a 10 set divided in two groups, e and i, such as e+i=10, it is easy to proof that max. e x i happens  when e =5= i; exhausting all cases, 10×0=0, 9×1=9, 2×8=16. 3×4=12, 5×5=25).

So the point of maximal reproduction is when the female principle and the male principle reach perfect complementarity as opposite mirrors in a symmetry group in which both together appear as a neutral element of a non-euclidean five-dimensional geometry…

Thus in illogic geometry, the highest of all levels of this mind-web (www.unificationtheory.com)all what we say is this:

Company-mothers of machines overeproduce memes of metal and their enzymen look to it, and their managers, economists create theories of reality in which the overproduction of memes of metal that are competing and extinguising life is good.

The bible tells you ‘grow and multiply’

And you are a penis seeking a hole all your life.

The orgasmic Universe was an article i sent long ago to scientific american – i don’t think those anglo-scientists who merely assembly machines could even figure out on the equations of self-similar orgasmic beings exchanging liquid, e=i state fluids between their two poles of existence could mean… It is what they call in the inquisition of science – with its own disqualificative language pathological science.

But it is all right. Wherever you see you will observe the dances and tunes of the dual universe and its fields and bodies heads and particles, yins and yangs, in a series of bits, whose ‘steps’ in time and space are all self-similar.

There is the overture tone, e>I<=>>e, exi=e>>i<∑πi, the time jump… i->∑ex > i+1, the equation of death, I< ∑e, the equation of the ages of life, i< ∑ ei > Ei = ∑eI, > I, the equation of immortality Max. Exi, and present, e=i, all those ‘words’ which have been ill-defined by lack of a logic symbolism to explain the explosion of creation of fields of space-time around us, vibrations of energies and information that constantly orgasm and transform into each other ad eternal acquire one.

This language, of which I am the only human speaker, so far, (-; is incomprehensible to you, and yet is everywhere in you, outside you… in all what you see… All what exists can be written as a logic chains of events of time, reduced to a mere symbolism of steps of grown and transformation of those two parameters yang and yin energy and information, and thus this language of how which sentences, what is the conversations you see all around, is the substance of illogic geometry, the mathematical and logical formalism of general systems sciences which describes all the chains of thought of God, the mind of the Universe, the game of existence, the orgasm of self-reproductive chains of logic fusion, fission, reproduction, self-organization, mirror creation, decoupling, combination, quantification, analogization, digitalization, all and each of those different processes, can be ultimately limited to a series of actions which ultimately are themselves ‘reproductions’ of particles into waves, or bosonitations of waves into particles


0In Cancun, Sonoma and Tokyo’s ISSS meetings we considered the conceptual, formal, mathematical model, expanding our comprehension of Non-Euclidean, Fractal Geometry, Multi-dimensional topology and its application to describe the forms and motions of super organisms and its scales. We also developed the complex model of 3 arrows/dimensions/ages of time, past=energy, present=repetition and future=evolution.

In our conferences at Madison we used those laws resumed in this paper to describe the laws and species of biology and physics, since each species is in fact a superorganism of a higher scale than the individual, following the same morphological laws of evolution.

In the conferences at Hull and Waterloo we introduced the Socio-economic model, studying the evolution of the superorganism of history and the eco(nomic)system in which we live, and its sickness, ‘capitalism’, where a caste of cells of the body of history, the financial industry, monopolizes the distribution of ‘air-blood’ restricting and asphyxiating most human cells, creating a cancerous growth that is killing mankind, at the same time that it releases selfish memes to make people happy with their own asphyxia (as parasites and cancerous leukemia do, releasing substances that the cell craves or implanting selfish genes to make them work for them)

This is the function of the media system, owned by the same financial corporations and the economic abstract science, with their fictional opium, ego-trips of nationalistic, religious or egoistic nature and the confusion of machine evolution with progress and human evolution.

In San Jose we dealt with the main isomorphisms of the Universe, with a ‘reduced’ dimensional model in which the upper and lower scales of systems and superorganisms, i±1 was treated as a whole ‘single’ 5th dimension of social, evolutionary time between the remote past of vacuum space and the complex future of the whole Organic Universe.

In Washington we are resuming the whole model explained in previous conferences in this short introduction.

It is only left to introduce the 3 films made on the model, the documentary on the ‘Superorganism of History’, the documentary made on the Organic Universe of 10 Di physical superoganisms and the 3rd film ‘quantum roulette’ on the future extinction of man by organic bombs (black holes made by nuclear physicists) and organic machines (nanorobots and A.I.), completed and ignored by the ‘system’, which unfortunately as per our conferences at Hull and Waterloo is utterly corrupted, collapsing life and so it denies with its somas of technoutopias, abrahamic religions, capitalism and nationalism the negative side effects of those selfish memes of metal that help us to increase our power of energy and information but also atrophy, substitute, make obsolete and kill our bodies and minds (audiovisual fictions).

General Systems Sciences is indeed the highest possible understanding of the living Universe both in its new Non-Euclidean, Non-Aristotelian formalism, its organic vision of the superorganisms of mankind and its solutions to the problems of our species; though I doubt it will be known on time to cure our illness or those who are killing the superorganism of humanity under their somatic program will care to stop the process.

In any case I have enjoyed all my life this higher knowledge of the program of existence and the unity of all its systems and further on, as the Universe is a fractal, there will be infinite other planets in which life is thriving because GS2 and the organic paradigm NOT the mechanist paradigm and the somatic memes of tribalism and egoism dominated life.

1 Macrocephalic brain is a new word coined by this author to define the ‘high’ emotional axis of the human mind.


One Response to “-Organic Systems:”

  1. russell olausen Says:

    I have spent my life amongst the drudges and have been told in no uncertain terms a machine will be my boss. I can see why the upper class bare such scorn. I ask myself, is sight a curse?

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