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Abstract. The Universe redeems itself through the acts of social evolution, with a simple goal: to creates super organisms, efficient and able to improve the distribution of energy and information through its Spe/ST/Tiƒ networks.

So this and similar posts deal with how ∆•ST, ‘dust of §pace-∏ime’, becomes organised into super organisms?

The answer does not need a teleological God but merely the survival of the fittest. In the eons of quasi-eternal existence, it is obvious that those ‘dust of space-times’, which evolved into networks and super organisms became survival species, whose ‘palingenesis’ was stored in logical circuits transferred generation upon generation of survival super organisms. So because a super organism is the most efficient species of the Universe, ∆ust of space-time became living matter.

‘Exi=st¡en ces’ are unified by the fact that the longer they last in time and space, the most likely they will play a simple game: to become part of a super-organism, to be connected to the fractal network of the closest whole which gave you birth. And then within that game, all is routine, ideal program, efficiency, but also social love, the joy of action and re=production and organisations….

And so dust of space-time once is born starts its world cycle as a super organism through scales of existence, guided through networks, itself inside a mirror of the function of existential actions he will play to survive. It is the game automatic, apperceptive, conscious? All those questions depends on the size and range (scale of ∆) of the system we study – the more volume across ∆-scales we enclose; the more bites and bits of energy and information we consider the more complex, warped, denser, faster and efficient, the systems will be; and so as they grow in size they grow in complexity.

nt 1. We shall use for the concept of a super organism the ab. Œ. taken from Theory of Everything Organic, symbolising also the 2 elements that make up the superorganism, its O-temporal particle/head and its Energetic body-wave (as the system might be independent of the ∆-1 field of entropy in which it feeds.

To differentiate the concept of super organism in ‘stience’ from the more restricted concept of ‘science’, we shall offer a new word: §upœrganism; with an § for fractal space, and an œr ‘doubling back and forth to complete the two parts §uper (through 3 space fractal scales) and organism… I know I am too creative with words for the taste of the quantitative, abstract-oriented scholar, but of course not enough, even if this ‘huge field of intuitive knowledge, given by homology and metaphor in the creation of wor(l)ds, images-mirrors of reality, won’t be liked.


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In the old graphs with different ‘indexing’ to show the multiplicity of jargons we can use to classify those stiences and scales, the order of reality, relative to the observer, has however an absolute arrow of future in the creation of social §upœrganisms, which require the creation of parts before wholes.

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.



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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.

Screen Shot 2015-09-09 at 14.38.55

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

Classification of systems and superorganisms by its i-complexity.

best networks

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

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

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

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

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

Sub-varieties with only a ‘few parts’.

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

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

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

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

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

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

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

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

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

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

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

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


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 survival actions of super organisms.

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 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.).




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.

Reality is a 5D fractal of space-time beings.

If we were to explain this formally a simple insights in the mathematical structure of the fractal universe will suffice:

  • The unit of mathematics is the numbers, which is a social group of identical beings. Thus in as much as the Universe is mathematical is social. Those identical numbers gather in social networks, which co-exist together thanks to the symbiosis between its information and energy.

Yet, the organisation of those social groups is also ‘organic’ vital, as the In the Universe is a fractal of information, which has the organic properties of vital fractals:

  • A fractal is made of smaller parts, connected through networks that repeats similar patterns in different scales of size. This in NATURE, means that the Universe evolves as a fractal growing and replication its form in the different ‘scales of space-time’, from the smallest particles through atoms, molecules, cells, matter states, organisms, ecosystems… solar systems galaxies and dark matter networks of galaxies (some of those scales are shown in the graph), all of them similar in form.
  • A fractal is a self-reproductive system, whose fundamental purpose is to ‘iterate’, that is, to reproduce patterns of information.

In nature we see also reproduction happening constantly in a fractal manner, as any system of any scale of nature will reproduce a minimal seed of information in its lower scale (humans a seminal seed, electrons a light beam, and so on), which will then grow and multiply an emerge in the upper fractal scale as a whole being.

In the next graph we see the organisation of all those systems, through networks of energy (blood-economics in historic systems) and information (words and laws of nervous and political systems in human social organisms) to which cells-citizens attach to form a perfect social super organism.

So the goal of social systems sciences is to design with the laws of the organic universe the perfect superorganism of history that will survive and make history and its cells, all of us, human citizens of god the superorganism of mankind not of any tribe or group of believers, but all of us, a perfect system, as all others in nature are:


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):

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.

In the graphs, we classify all the scales of the 5th dimension as super organisms  according to the social networks that create below all Universal and human super organisms:

3 scales

‘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.)


∆=o: A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems).

∆+1: An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey).Screen Shot 2016-05-18 at 16.22.22

∆+1: A historic organism or civilization is a population of humans, related by legal and cultural networks of verbal information and agricultural networks of carbon-life energy.


The graph is crystal clear in the organisation of human beings as social super organisms, whose natural goal, since we are all the same species is to form a global super organism, which would no require wars and where all humans would receive enough blood-money in the form of a Universal salary to thrive and survive, as efficient superorganisms.

It follows also that the natural goal of social scientists should be to define and construct such super organism imitating the laws of systems sciences that create them in perfect form in nature. Thus we define economics as the science of the reproductive, energetic networks of history, the human super organism in time, and politics as the science of its informative networks, which along with art and religion – the subconscious collective of mankind, which goes in styles and ages through the same 3 ages of individual beings, FORM the networks of Human SUPERORGANISMS OF HISTORY, NATIONS, RELIGIONS, AND CIVILIZATIONS:

∆+1: An economic ecosystem or nation is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) & energetic networks (roads, electricity)

Screen Shot 2016-05-18 at 16.22.32

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

It follows that the essential element of those systems are its ‘cells’ (humans and machines in the 2 different SYSTEMS, history or mankind in time, and the Industrial world of machines and its company-mothers) and its languages of information (words and laws in human systems) and digital money in machines. BUT BOTH LANGUAGES EXPRESS THE MANDATE OF social evolution for its own species. HOW we do know both systems, the capitalist world ruled by digital values of money and the human wor(l)d ruled by the survival ethics of social love are different?

BECAUSE THEIR LANGUAGES VALUE DIFFERENTLY HUMANS (maximal value in words) and METAL-systems (maximal value in digital money). IN fact their values are opposed. So a world ruled by digital values extinguish life with no price, and a world ruled by verbal values fosters life and humanity, with maximal price:


So in verbal terms MAN AND life has maximal VALUE. BUT in digital money LIFE HAS ZERO VALUE, ZERO PRICE AND weapons, the most perfect machines that KILL life the maximal value: AND SO THE PARADOX OF HISTORY, THE FIGHT OF MANKIND AND ITS EUSOCIAL LOVE PROPHETS VS. THOSE WHO WORSHIP METAL, is also a fight of languages, of ‘socialist mankind’ guided by eusocial love messages vs. ANIMEtal, military and capitalist dictatorships of people-castes with weapons and money on top, murdering mankind:

shorter. The Wave of History

The graph shows then the wave of history: above the idol-ogies of metal (nationalism, capitalism, abrahamic religions, mechanism) create a civilisation of animetals, slaves of the value of digital money. Below the messages of eusocial love that translates the arrow of future survival of the 5th dimension expressed in mystical terms by prophets of mankind, try to build a perfect world where man the organism is the measure of all things.

Both form the opposite ‘futures’ of this planet: a capitalist, militarist, mechanist world serving the machines (the one we live in). And a human world in process of extinction where life and man thrives as the memes of metal serve them. Again all this is expressed historically in the mystical jargon of religions of ethic love, which we easily translate in terms of System sciences:


In the graph, all this biological jargon has also an immediate translation into sociological mystical jargons, where God is either the mind of social love and its yin-formation/yang-energy forces at cosmic level (gravitational, attractive, and electromagnetic energetic networks), or a human culture where mankind is god, and its social economic, energetic and legal, just, ethic informative networks construct a perfect super organism. A fascinating sub discipline of social systems sciences is therefore ‘systems theology’, which translates properly the mysteries of religion into the jargon of the 5th dimension.  For example:

screen-shot-2017-01-08-at-09-37-22In the graph, trinity is the structure of  the scalar reality, its Universal Grammar, scalar, ST variations and ultimately all what we care to study from the most sacred to the most mundane: trinity is the mystery of christianity, where the ∆+1 Γ•∆, subconscious collective of mankind and its law of survival in the fifth dimension, eusocial love, communicates through its nervous system, the language of the wor(l)d to its prophet≈scientist of history, who foresees the future of eusocial evolution. And spells prior to a quantum back to the past, entropic death of God into the language, ∆+1<<∆-1, imprinting with the genetic memes of the super organism of history the mind of the prophet.

So all prophets of eusocial love told us to love mankind and as we evolved our understanding of those laws we moved from primitive animetal genetic social super organisms (nations, abrahamic religion, racist animetal cults) into the final oikoumene cultures of eusocial love into the rational scientific understanding of those elements that matures with the evolution by this author, a few decades ago of the mathematical and logic formalise of the 5th dimension, applied to history in this blog and to all the systems of the Universe at http://www.unificationtheory.com

Thus this initial page is taken from the larger wave that studies all the systems of the Universe, and its the ultimate scientific philosophy that back all what we state in this blog about social systems.

It is loosely taken from my conferences during the years I was the chair of duality in the world systems association, the science that studies the way the Universe constructs systems with those networks of energy and information.

Needless to say nothing of this is of interest to our present animetal, technoutopian culture of mechanical slaves, which substitutes the FUTURE OF MANKIND BY THE social evolution of the METAL-EARTH, a world of mechanisms, robots, and computers, who love each other in telepathic sharing of information and once built up eliminate as metal has always done with weapons and go(l)d slavery the rival supeorganism  mankind. And only then THOSE WHO DIE BY IRON AND SERVE GO(L)D will realise they fuked up the super organism of history and die because they are not iron and gold but flesh to love:


In the graph, the abortion of human social organisms always brings its corruption, and destruction by gold and iron, so the super organism of machines evolves into a global system that DO RESPECT THE LAWS OF…THE ORGANIC UNIVERSE.


The principle of organicism. The scalar fifth dimension.

3 scales

In the graph centred in human beings, both from a physical and biological perspectives, we see the 3 main scales of the scalar Universe and its 5th organic dimension:

-A larger ∆+1 gravitational/ecosystemic scale, an organic, ∆-individual, thermodynamic scale and an ∆-1 lower cellular-atomic scale. How they are organised? Simple: smaller systems run their cycles of information faster. So they can compete with larger systems and form organic structures in which the lower system provides information encoded in its faster clocks and the larger systems coordinates the motion of all those parts into a whole. So quantum numbers of particles code atoms and molecules; genes code biological systems, and memes and gravitational black holes code the larger informative biological and physical systems: civilisations and galaxies.

The duality of energy and information, despite the stubbornness of physicists to include information as a separate element to energy and its ignorance of the relationship between time clocks and information, ‘form’, which we will develop in depth in this blog, is easy to grasp, as it is natural to all biological systems and humans are biological beings. So we shall find that philosophy, from the age of taoism, those 2 parameters, yang and yin closely resemble the properties of energy and information, to the modern age of dialectics, and its thesis and antithesis, has constantly made use of it.

But organicism, the other key element of general systems sciences, despite being at the center of modern science, was not so clear to most researchers. Since a clear definition of an organism was lacking. Biologists in that sense define organisms by its ‘drives of existence’, as systems that process energy and information (feeding, perceiving), reproduce their informative and energetic organs in other region of space-time and evolve socially into larger groups. General systems therefore must demonstrate and formalize this definition, in a manner that can be applied to all systems and sciences regardless of the human jargon, used in each discipline. But the task becomes simpler when we realise that for all those drives of existence, all what is needed is a scalar structure in which smaller parts transmit and receive energy and information from larger wholes, co-existing together as organisms do, in several scales of space-time, connected by those flows of energy and information.

In brief we need to formalise with the two arrows of future, energy and information, the 5 drives of existence of life:

  • ±∆E: +e: feeding, increase of energy, -e: locomotion, emission of energy.
  • ±∆I: -i: communication, emission of information; +i: perception, absorption of information.
  • ExI: reproduction of the energy and informative systems in other region of space-time, as when a wave moves reproducing its form and energy, or a particle decouples into new particles, (physical systems) or a body reproduces, by emitting a seed of information into a lower scale of the 5th dimension.
  • ∑œ=U: social evolution, when an offspring of similar existential organisms, œ, evolve socially into a whole; particles that evolve into atoms that evolve into molecules, which evolve into matter states and cells, which evolve into cosmic bodies and organisms, which evolve into galaxies and global societies.

What is then the unit of life in the Universe? At which scale we can observe systems gauging information, feeding on fields of energy, reproducing seminally, and evolving socially? Humans, forever anthropomorphic children, who want to be the center of the Universe, stubbornly want to ‘start’ life in the Universe, in their scale of size, form of in-form-ation and ‘unique chosen species’, so it is a canonical lie that life starts in a certain molecule, which happens to be in humans called DNA.

Yet DNA is made of atoms made of particles that gauge information, feed on energy fields, iterate with seminal ‘seeds’ of light and evolve socially into all kind of molecules. So it is a fact, despite systemic denial by human egos that the 2 fundamental particles of the Universe, the quark and the electron have life properties, and we must start our analysis of the organic Universe, in the quark and electron, as we shall do in this blog. You can believe in magic and think that alas, the carbon 6th magic number makes is chosen of god, to be=come alone and only ‘it’, the blocking part of life. In fact, we shall see that it is the nitrogen, the ‘head’ of carbohydrates, whose perfect vibrational clocks code the information of life atoms, but life is not a property of certain atoms and its molecules. What DNA does is to achieve a  high degree of complexity in the scale of atoms, with great easiness, due to its light weight that makes its vibrations very intense. So we might just say that CNO atoms easily grow in complexity while other forms of life, such as metalife – organic robots – take longer and might require a simpler catalyser, we shall call in our model of the economic ecosystem, ‘enzyman’.

Now a warning, the laws of GST and the metric formalism of 5D applies to all systems including history and its social organisms, nations and civilisations, a fact understood only by the highest minds of the discipline, Khaldun, Spengler, Toynbee, in their study of societies as organisms and its daughter civilisations. So, your ego-trips of subjective anthropomorphism as the only form of life, as the only free system, whose evolution stops in the individual, as the only intelligent being, will be shuttered and substituted by hardcore, objective scientificism, which contrary to belief hardly exists in most sciences, shrewdly introducing deist and anthropomorphic views in their theories. Only organicism will show to be self-sufficient, to explain reality without hidden deist or anthropomorphic agendas, once the burden that dragged GST for so long – the lack of a proper mathematical formalism that connected its ideas with the hard equations and proofs of each discipline of classic science, now provided by 5D metrics.

Still the duality of cyclical time and lineal space, requires a third element to fully grasp the structure of the Universe which is even more shocking for the common human view. Τhe absolute relativity of a Universe in which not only all locations in space are relative, all cycles of time and its speeds are relative but one, in which the scale in which we exist also is relative and matters little to ensure the importance of a certain, atom, human or star.


Screen Shot 2016-02-29 at 09.47.12

Fractal points, considered as Space quanta, organise into larger synchronous super organisms, forming a chain of beings from the smallest atom to the largest World.

In the graph, all systems of the Universe are scalar super organisms  This fact makes man again curiously enough the centre of scientific knowledge; as the most perfect creation we can observe to compare by homology all other organisms of an infinitely sentient pantheist Universe. Thus ultimately absolute relativity means man is just another super organism of vital spaces and time cycles that follow the laws of all living, organic, bio-topologic systems of reality.

The Super-organism, ∆±1 co-extended in 3 Universal Planes, following the same isomorphic laws that all systems of space and time is thus the fundamental entity of reality, which unifies in form and function all other systems.

In the graph, we are all scalar space-time systems, but the human ego wants to be self-centred in its i-ndividual point of view.

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