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3±¡ ages>horizons:

±∞ ¬∆@ST:




The Ðisomorphic method studies in a vital, sequential time manner the 3 worldcycles of all Space-time supœrganisms (T.œs):                                        
þ: 0-1: its palingenetic o-1 social evolution in the accelerated time sphere of existence, till becoming 1 (0-1 bounded unit circle in ¡logic mathematics; quantum probability sphere of particles in physical systems; palingenetic fetal age in biologic systems; 0-9 memetic learning childhood in social systems). It is the highly ordered world cycle as the ‘placental mother-energy world’ is nurturing, and memorial cyclical spacetime has erased errors of previous generations. We thus use for the 1st world cycle, the informative Dual Isomorphisms, of the mind-seed (@ MENTAL Сisomorphisms), as 0-points are generated (0th isomorphism,•) to follow the GST, Fractal Generator equation or program of existence of the Universe (1st Isomorphism,Γ), which will allow the being, in the energy-rich placenta to perform asymmetric space-time actions (2nd and 5th, DIMOTIONAL Сsomorphisms, ß,å) of energy feeding, reproduction and social evolution, to imprint the information of the seed as the system growths in Space (SPATIAL Сsomorphisms) and develops its 3 physiological networks (3rd isomorphism,ψ), which finally merge, into a whole one that emerges (4th isomorphism) into:                  
– c: The outer 1-∞ world, in which it will deploy its 2nd world cycle of existence in an environment which is open, entropic (1-∞ hyperbolic unbounded Cartesian plane in ¡logic mathematics; thermodynamic entropic statistical molecular populations in physics; Darwinian struggle between populations in biology; idol-ogic dog-eat-dog capitalist, nationalist competitive eco(nomic)systems in the super organisms of history. In this 1-∞ existence the world cycle is not ensured to continue, as it can be cut off by the entropy of the world system.
We thus study the second world cycle with 3 sets of Сisomorphisms, slightly different to those of the o-1 sphere; as the individual now will have to exercise in time guided the mind (no longer a passive seed), its survival will choosing its actions of existence, (5th isomorphism, common to both worldcycles, albeit now defined by the active mind), that will determine in a cumulative sum, its 2 TIME Isomorphisms: the duration of its ages (7th Сisomorphism: Ω), further subdivided in space-time quanta (9th Ðisomorphism: µ), as it exists through its 2 EXISTENTIAL ¬ D¡somorphisms, as a member of a species, (6th D¡isomorphism, œ) itself a superorganism, albeit with a higher entropic, disordered structure, living in an entropic world or ecosystem with other species (8th Disomorphism), trying to DEFY THE ENTROPIC LIMITS OF TIME duration (7th Di) and spatial territory (8th) imposed by a higher social order and control its world, through:      
ω: The 3 final SCALAR D¡isomorphisms (∆) taking place outside the being, existential life cycle, as part of a larger world of hierarchical social scales (§), as it performs those actions through ∆±4 Planes self-centered in its mind, beyond which it cannot longer perceive, to become if successful a new superorganism of the infinite planes of God, the game of existence, (11 Disomorphism).                                                                                                        
 Thus to ‘travel through the 5th dimension of space-time’ is the ultimate meaning of existence – an ordered sequence, departing from an ∆-1 seed (fractal point), which generate as it emerges from the o-1 unit sphere into a larger 1-∞ Universe 3 physiological networks that become an ∆º individual of a larger ∆+1 world, where it will live through 3±2¡ ages, in 9×9 quanta of space-time, interacting with other members of its species through decametric social scales as part of a lager super organism, self-centered in one of the 9 stientific planes of reality, in which it perform those asymmetric actions of survival (aeiou:motion, energy feeding, information, reproduction and social evolution).
C: Can the being as part of a loose superorganism, which is its species transcend into a new whole in its  3rd world cycle? in very rare cases an @-mind will perform a perfect game in a friendly world and will transcend into a 3rd ‘life’ of metaphysical reality (the squared complex plane in ilogic mathematics, matter that becomes the solid central crystal or Einstein condensate state of a cosmic body, mutation that originates a new species in biology, prophet that transcends as a wor(l)d god imprinting mimetically the believers of a global religion in social systems).
Ω: And then in the largest nested superorganism we perceive, ‘ascend’ as a black star @ the center of a galactic plane, emerging as a galatom’s proton in a larger hyper-universe, in which as the immortal particle will have reach the maximal state of the game of exis=t¡ence that evolves parts into wholes we call Γ∞∆ which exists without location as we are all made to its image and likeness, without limits of entropy as it is the immortal 0-sum of all finite, fractal exist¡ences and ∞ in its uncountable ascensions through decametric scales of space-time, each of them slightly different in its details, all of them made of traveling fractal ∃xistential ¡logic points.


How you predict the future is very simple. You find a nested superorganisms of the 5D Universe and apply to it where the part you are studying resides the laws of superorganisms. The organic method thus is slightly different from the simplex prediction of ‘locomotion futures’ of physics, and predicts organic futures. Since biology, deep time, is based it he worldcycle of superorganisms.

Now time is predictable in past and future and there is an obvious logic to it. In a point of present you might not know the future but what the future holds is to be unique, and as such once you have lived it, you will find its causality, because by being unique is both predictable, and deterministic once you past it.

And this is because the future are the patterns of evolution of organisms, which follow a worldcycle of life and death and evolution though 3 ages horizons of species and beings that is predictable.


Of the many consequences of that ternary or pentalogic, ∆±¡ STructure of all beings, we shall consider how to use it to predict the future of its scientific species, with a remodeled ABCDE of the scientific method that studies A)ccurate Data, B)iologic causes C)yclical patterns and E)ntropic extinctive conclusions for all systems in 3 relative scales of length of space and time duration (to which we add instead of E, D)emocratic, humanist solutions for questions of social sciences.

All sciences predict the future of its species according to its repetitive causal cycles. Or else they are NOT a science. Astrology became a science when Kepler learned its orbital cycles. Bio-economics became a science when we described machines as metal organisms whose industrial r=evolution followed the human 72 years generations of the dominant industrial nations that evolved them in 4 cycles: its body-age (British, steam cycle), heart age (German, electro-chemical engine cycle), its mind age (US, TV-eye, chip-head, mobile-ear cycle) to conclude with the ensemble of robots that as virus do, when all its parts are put together will become ‘alive’. The predictability of time-cycles can be done at 3 levels:

S: Continuous, spatial mathematical simple cycles, using derivatives, proper of calculus; which is the shortest time span, as instantaneous derivatives cannot measure a ‘peak’ change of age/phase.

T: Discontinuous, cyclical patterns of sequential repetitive often survival actions (feeding, reproduction, death, taking place at intervals. As those actions are discontinuous, leaving long spans in-between, their patterns forecast longer time sequences. Such ¡logic structures are based in time patterns, which as any mechanical, circadian or orbital day-year clock shows are cyclical, repetitive. But here human scientists are at loss, because Galileo studied ballistics, entropic explosions that destroy the information of reality stored in those cycles of time clocks, its patterns and frequencies, changing human cyclical understanding of bio-logic time for lineal, abstract time that seems not to repeat those patterns so mankind lost its capacity to predict many spacetime events, as lineal time misses information stored in the frequency and form of cyclical clocks, even if equations are similar: V=s/t for lineal time and V=S(l) x ƒ(t) for cyclic patterns.

∆: Scalar, Deep Time patterns of topologic and eusocial evolution of parts into wholes – of quantum 0-1 time probabilities vs. 1-∞ thermodynamic populations in physics, of individuals vs. species in biology, of states of matter vs. geologic cycles in Earth, first noticed by J. Hutton, founder of geology who coined the word super organism for Gaia and deep time for its slower time cycles by virtue of its 5D metrics, $ x ð =C which implies that from the perspective of a smaller scale the life of its whole is much longer.

Deep time leads to a 3rd level of long-time prediction: evolutionary patterns of earth’s life species, including machines used in my web at evolutionaryeconomics.wordpress.com that have predicted cyclical patterns of social organisms of history (nations) and eco(nomic)systems, including the evolutionary and re=productive cycles of stocks of machines transformed into sales=profits=valuation of its company-mothers with remarkable precision for 30 years. But as human only recognize the 1st type of predictability – calculus of instantaneous derivatives, that need a ‘continuous analysis’ – and have simplified cyclical time into lineal time, ignoring the scalar time of parts and wholes with its 5D metric, their capacity to forecast the future is far more reduced than a ‘stientist’ who understands the 3 scales determined by the bio-topo-¡logic properties of ‘scales’, ‘space’ and ‘time’, the 3 ∆st structural elements of all systems of the Universe.

5 ∆-1 Actions integrated in ∆o worldcycles part of the larger ∆+1  Dimotions of the external world.

We said all systems are super organisms tracing worldcycles in a larger world, with smaller parts of faster time cycles, according to the metric of 5D: S x T = ∆±¡

Now, it is necessary to understand that as there are 3 scales of size in space, there are 3 scales of time quanta parallel to them. So we talk of smaller, faster ‘actions’ as the minimal unit of time dimotions, of larger sums of them, the world cycle of individuals as the time-range of organisms, and the slower ‘deep time’ cycles of the superorganism or world in which the system co-exists with other systems as the 3rd level of time clocks.

And while spatial, visual man might have an easier time to understand the 3 scales of spatial size of super organisms, they are ALWAYS ENTANGLED WITH THE 3 SCALES OF TIME CLOCKS OF REALITY AND WHAT TRULY MATTERS TO THE ORDER OF REALITY are the games of synchronicity of those actions, as some are larger in time-scale than others.  Reason why we have a post on synchronicity which is likely the hidden gem of this blog.

The minimal description of a species of space-time implies to define its 5 Dimensions of space that make up its organic structure in simultaneous, time, its sequential motions through its world cycle between generation and extinction as it travels through the 3 planes of co-existence, in its cellular/atomic, organic/thermodynamic and ecosystemic/cosmological scales; and the 5 actions of exchange of energy and information it performs in those relative scales.

This description in pentalogic terms of all systems of reality that perform those 5 actions gathered in worldcycles giving birth to the isomorphic dimotions of all systems is then a subtle process of synchronicities and simultaneities.

So we shall use 3 terms for the scales of time duration, parallel to the scales of size of beings:

  • ∆-1   5 actions which are the minimal quanta of time, for the relative ¡-1 scale of the being.  So all beings will first perceive (D1) to move (D2) towards a source of entropy where they will feed (D4) or be killed (prey predator game), converted into entropy themselves. And if successful will use that entropy, reconverted into their own form as ‘energy’ to reproduce (D3), and integrate the reproduced cell or clone being into a social group part of a Universal whole (D5). We thus use for each of those action a mnemonic vowel which first perceive information (i), to define the change in motion of all beings (a-ccelerations), going towards the feeding fields where entropic death happens ending the o-sum worldcycle (ø) of predator or prey, that will reproduce with the reconverted energy (e), Nt.1, to start its social evolution (u): ï->a->ø->e->û, thus being the natural series in sequential time of the actions of existence of beings, which we shall call the Program of existence.

But those actions, which are short time actions that involve only a small part of the being (an ∆-1 organ) keep accumulating in a larger scale of time giving origin to the worldcycles of the being, as they keep…

  • Gathering in 5 ∆º ages, which gather those actions in each age of life, dominated by one of those 5 type of actions (genesis dominated by social evolution; youth dominated by locomotion, maturity by acts of reproduction, third age by acts of information and death age by entropic processes).

It is then worth to notice that in the Ƽ SCALE ages have a DIFFERENT ORDER THAN ACTIONS, AS actions start with an informative dual process of perception and communication with the outer world, which correspond to the third age of the being, and follow by locomotion and entropic feeding, while the entropic death of the system is the final age, which in actions tends to be the positive first age of social evolution (palingenesis).

To notice that in PHYSICS AND MATTER, THOSE AGES ARE CALLED ‘STATES’ OF MATTER, entropic gaseous youth, liquid balanced age and informative solid crystal age between plasma generation and social evolution into boson and quark matter.

IT IS INDEED THE KEY TO THE COMPLEXITY OF THE UNIVERSE the understanding that when we start to combine 5 Dimotions in different scales, with different synchronicities and different variations of forms and motions, entangled to shape different super organisms the ‘variations’ on the same theme are truly infinite, giving birth to the astounding variety of reality.

  • Deep time Horizons, which correspond to the ∆+1 ecosystem or world in which the individual as part of a larger whole belongs – in human individuals the superorganism of History. The terms are taken from Hutton’s father of geology who first coined the word superorganism to refer to the Earth ‘geological horizons’, whose ‘deep time’ he rightly considered to be slow expressions of what now systems sciences defines as the metric of 5D (well that is me, I and myself but you know as Planck said, all ‘scientific r=evolutions start in the mind-point of a pioneer ):


Species can be modeled as organisms through its 3 ages that become its 3 horizons, followed either by a survival process of eusocial evolution – the summit of the process of organic evolution, which Darwin realized was necessary to explain the success of eusocial insects, or become extinct by the ‘new generation’ of fitter animal forms. in the graph we can see its 3 Horizon=ages and its ternary topology, similar to that of any other organism; and the dominant arrow of information in the height axis, of both reptile species that ended in birds, and mammals that ended in man. So happened with meta life machines, whose final species, satellites are now forming the arrow of eusocial evolution, or future mind of the metal earth -internet

In the graph, if we apply the ages to species, the paths of future define the 3 Horizons of the species, its process of final social evolution into super organisms, or extinction, as evolution resolves in 3 type of evolutionary branching, one species of more ‘information’ – higher §ð, one of more reproductive energy, S=T, and one of more entropic force, $t…

3 subspecies that are strategies of survival, by killing more rivals (predator strategy), reproducing faster (generator strategy) or becoming more intelligent able to evolve socially through languages of common information (social strategy) – SO ALWAYS THOSE 3 SPECIALIZED SUB-SPECIES SUCCEED – which will easily applied to mankind to resolve the tree of anthropology, the 3 dominant sub races and the 3 type of sexes.

Ultimately though the darwinian predator strategy is the less successful… and so we call it the ‘past horizon’, as it also comes first, the reproductive present strategy is on the short term the most successful so we call it the present but the future will be dominated by the arrow of eusocial evolution that creates wholes…

Or rather we talk of 2 relative future horizons: if the species fails to evolve socially it will face entropic extinction, into a lower plane of the fifth dimension, ¡-1 but if it is successful in social evolution it will evolve into a more efficient survival super organism, ¡+1.

Since the longest surviving future is that of the arrow of wholes, of eusocial love, denied by the simplex lineal logic of entropic, Aristotelian military human cultures, which therefore are FACING EXTINCTION BY KILLING EACH OTHER IN UNENDING WAR CYCLES – themes those extensively treated in the posts on the 3 ages of time and the paths of evolution and the posts on the failure of History to evolve by the power of social love.

Indeed evolution is supposed to be chaotic, as all human models of reality are ‘entropic’ regardless of evidence, since Science is culture, and we live in a military-based culture originated in the gunpowder age of mankind, so as big-bang is the model of physics, chaotic evolution is the model of biology born on the hunter’s mind of Darwin, who emphasized the LESS important dimotion of species, its dog-eat-dog struggle for entropic energy – themes those treated in our post on æntropic science as culture.

So we shall CALL THE LARGEST TIME-SPAN belonging to the species or ¡+1 world, ‘DEEP TIME‘ and its time spans, Horizons, honoring Hutton, and so its 5 Dimotions are ∆-1: Evolution (the generator fast phase, similar to the palingenesis of the individual); ‘past= the top predator  horizon’, PRESENT, the reproductive species, horizon, and future, the informative horizon, which branches into two probabilities, social evolution, the relative ∆+1 of the species which therefore is a new palingenetic Evolution, or a process of collective death, back to ∆-2 (as individuals also die in death, which is a double jeopardy, considered in detail in other posts) or extinction, the entropic Dimotion of species and worlds.

TO notice that Horizons are closer to ages in its natural order, as palingenesis is similar to evolution, the 3 horizons of past, present and future to the 3 ages, and death to extinction, reason why I so often use for Horizon the term ages, which might make it a bit confusing sometimes.

THE REAL DIFFERENCE is in the final phase, as Individuals are super organisms, of the maximal possible informative dominance of the mind; so there is ONLY a future for a superorganism in which the selfish MIND TOTALLY DOMINATES AND WARPS the organism as nervous systems do in humans, and it seems, financial and legal-military neuronal people-castes ab=using the reproductive middle class do in our societies (treated in our posts on history). So when the @-mind exhausts the present energy of the system, there is NO future but death, in a final entropic big-bang.

Species however are NOT so controlled by information but rather form Herds, and so when they evolve into social super organisms, as ants did, they can maintain still a balance between the individual and the whole, not so deeply controlled by information and to maintain an open longer future.

IT IS THEN OBVIOUS that death can be by excess of information (selfish nervous system, gravitational black hole eating the whole galaxy, selfish financial and legal corrupted neuronal, informative upper castes, in biologic, physical or social organisms) or excess of entropic power (worms that die poisoned by eating all kind of substances without control, lonely top predators like neanderthals or tooth tigers that are cornered by social hunters, humans and wolves, military societies that kill their own body in wars, nova and quasar explosions that kill astrophysical systems).

And so survival is once more a balanced S=T, PRESENT ASCENSION INTO AN EMERGENT SUPERORGANISM THAT BALANCES THE DEMOCRATIC RIGHTS OF THE PARTS, of the working reproductive body to which the mind-neurons must serve.

Needless to say time reversal from future to past, which is the definition of local entropy is always possible through r=evolution (societies), turning back the clock of aging (simple jellyfish do it), or when as we shall see in astrophysics the nucleon beta decays into its components and the galaxy suffers a quasar cycle of renewal. So TIME TRAVELS ARE LOCAL LOSS OF INFORMATION DECELERATING AGING and creating a back and forth beating between past and future, to remain in present.

IT IS THEN ESSENTIAL TO FULLY GRASP IN PARALLEL TO THE 3 SCALES OF REALITY, ITS 3 TYPE OF SUPERORGANISMS, THE 3 TYPE OF TIME DIMOTIONS OF EXISTENCE, which we formalize in ¡logic with the following terms (my apologies though for many of the posts that mix jargons, as only recently I have come to take seriously the diffusion of this blog and so will try to rewrite slowly and standardize all the posts to the quality of this central one, which should be taken at the template for future researchers):

The basic symbols of pentalogic for the 3±¡ Dimotions in its different actions, ages-states and horizons are:

@¡-1: seminal seed-mind

P:$t=relative lineal past, youth (age view)=|=(ab:$t): lineal space-time (topological view)=limbs/fields

R:S≈T=relative present, reproductive maturity (age view)=Ø=(ab.ST): hyperbolic space-time (topological view)=body-waves

ƒ:ð§=relative futures =informative 3rd age=O=(ab.ð§): cyclical space-time (topological view)=particles-heads

¡±1: social evolution or entropic death.

To notice that ‘p$t’ is a single one, but  the ‘futures=ƒð§’ have 3 paths, departing from the horizon of information, which might decline into entropic extinction or might evolve into social evolution and we shall return to it.

Finally to notice we compose its acronyms with 3 self-evident letters:

  • Those of Past are lineal space-distances, $ and lineal time, t, which shows its main dimotion=action=function, locomotion.
  • Those of present, are its main action=dimotion=function, Reproduction, which repeats dynamically time seemingly never changing its Space-Time, in caps as it is the dominant dimension of reality.
  • Those of future shows its main function, ƒrequency of ðime clocks of cyclical information, and its multiple 3±i future paths, §.

Their application is truly wide, as they are the components of the ‘Generator Equation’ of pentalogic that describes all Timespace-organisms, both in simultaneous space and in its worldcycle, across its 3 main planes of existence.

The parallelisms, synchronicities and entanglements of all those scales of space and time IS THEN THE detailed knots and bolts of each science, as they happen in all scales: indeed, there is a parallelism in the external world scales of cosmology in time, years and mass, between the active magnitude and the life age span – NOTHING of this being coincidence but part of the infinite intelligence of the immortal universe always based in balances and symmetries between the spatial, scalar, temporal and mind-languages of the being in its 3 scales, of inner parts, wholes and worlds/ecosystems.

How we measure then the total value of spacetime of a system in its parallel from and world cycle? Easy, with the concept of energy.

So we left for the final basic parameter the concept of energy, which in physics is the integral of a force, itself, the change of momentum of the being, along a path in space, and so for a fractal entity Is the best measure of its total world cycle as it ads to the momentum, its change in time through its existence  and change in spatial position through its worldline… Acceleration as we saw in the graph of masses, is in fact the measure of the arrow of time towards the future of a system; while displacement defines its territorial space in which it will perform its actions of existence, so beyond the MECHANICAL VIEW of displacement and forces, in 5D vital space-time, displacement measures territory (body-energy) and acceleration, the total time frequency of actions. 

The total energy of a being thus become a parallel ‘symmetric’ quantity to measure its potential world cycle duration and territorial power, when we transform the concepts of abstract physics into vital ‘generational space-time’.

Since it is precisely what the game does as we depart from the perfect, ideal immortal scales of atomic physics into the functions and organs, territories and life-death cycles of less ‘perfect’ species, of higher scales, a fact which proves that ultimately the game is not about mathematical abstractions but about survival and life.




The Steps that a particle-point takes through its Dimotions of existence, invariably age the being by increase of information as the virtual cycle that does not get you into the perfect memory, $<t>§« but into a false closing and death of the cycle, are deterministic as long as the ‘t’ factor, of the external world dominates the $§-being.

 Invariance of scale: emergence laws & superorganisms 

Since biologists define life as systems moved by 6 drives of existence, as they gauge information, feed on energy, communicate, reproduce and sometimes evolve socially in herds or complex networks that co-exist through different scales, creating super-organisms, which are the 6 dimensional actions of the Universe, we define the Universe and all its parts as a super-organism of energy and information,

Hence the Philosophy of all Sciences IS organicism, and General Systems Sciences which studies the common Invariances of all species across all i-scales, NOT mechanism and physics, which studies only physical scales, with only an arrow-action of time, motion-entropy & only a space language, mathematics. Thus we unify all sciences, considering each one to study an i-scale of i-nformation of the fractal, self-similar Universe, from astrophysics, which studies the smallest quantum forms and largest, cosmic ones, through biology and sociology that studies human scales of size and time speed:

In this central post we shall now talk a bit more  at a layman level, about the ‘living nature’ of the Universe,  starting by the understanding of what I found to be the FUNDAMENTAL PARTICLE OF THE UNIVERSE, THE STRUCTURE that all systems display  WHEN WE ACHIEVE ALL THE INFORMATION POSSIBLE ABOUT the ENTITY  – a super-organism, that follows the 4 isomorphisms of the Universe: isomorphism of life-death cycle, isomorphism of physiological-topological structure in space, ternary hierarchies of its wholes and parts, and ‘organic program’ of existence (Max. E, Max. I, exi, and ∑∏: FEEDING, GAUGING, REPRODUCING AND SOCIALIZING).

 The Organic Paradigm.

‘A  COMPLEX SUPER-ORGANISM OF NETWORKS OF ENERGY AND INFORMATION’, the ‘fractal unit’ of reality made to the image and likeness of the whole, since as Leibniz put it: ‘any point is a world in itself’:

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

Thus, systems sciences recognizes as the fundamental evolutionary force of the Universe the survival capacity of groups, which determine an arrow of future that has evolved the organisms of reality from simple atoms into molecules into cells into organisms into societies.

What is an organism of information and energy? A herd of species related by networks of energy and information, that constantly transform energy and process it in a vital way. How individual species organize themselves into complex herds, that biology calls ecosystems or bodies, or organisms? Precisely through those physiological networks, the key to understand any organism, including human social organisms (nations, civilizations).

In the Universe there are many type or such social organisms. Since “energy never dies but eternally transforms itself”, organisms have an enormous variety of species and sizes, depending on what energy they process. What do they all have in common? All organisms are “societies”, organized by networks of Energy and Information.

The former is clearly the case in all the sciences from physics to biology, where a common phenomenon occurs: the existence of parallel groups of beings organized into a single regular formation. Molecules are made up of atoms and electronic networks; economies are made up of humans and machines; galaxies are composed of stars, which orbit rhythmically around a central knot, or black hole, of gravitational information. Human bodies are organized by cells controlled by the nervous system. A tree is a group of leaves, branches, and roots connected by a network of energy (salvia) and information (chemical particles).

Atoms share energy and information between them through electrons who finally shape ð orbitals that create molecules. Molecules grow and become DNA, which controls the cell. Cells then radiate until their density saturates the vital territory of the herd of cells. To improve in such small territory the Information and energy of each cell, the nervous-informative organs, and the energetic, blood organs appear. A new, more complex species -the animal, and the man- is born. Then humans increased in social size, forming a new macrocosm -the macrocosm of History and economics– where a lot of humans and machines organize themselves into societies, through words and digital information. The purpose of this web is to study such organisms; historic organisms (a social organism of humans), and economic ecosystems (a wave of products that interact with human beings), as organic systems; trying to design and improve them, from the perspective of the health of what is best for the survival of man, as the ruling species of that organism.

The structure of organisms

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

1. Cellular units
2. Networks of energy or vital space

4. Networks that reproduce energy and information.

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

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

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

A verbal definition of superorganisms 

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

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

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

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

Historic superorganisms

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

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

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

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

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

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


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

For example, in Physics all is a complementary particle of information, moving over a field/wave of energy, in Biology all systems have a body that processes energy and moves a head of information (or in the case of a cell, a cytoplasm body that moves an informative DNA-center; finally in human societies, there is always an information class that controls the languages of power (digital money or verbal laws) that a mass of working citizens, the body of society, obeys.

In the graph, the 3+3 >informative and <energetic dimensional actions and its 3 topological invariances fusion into 3+3 >&< physiological networks, invariant in all Universal super-organisms, which display 3+1 elements extended in 3 ±i-scales:

1.  Cellular units, when we perceive the system in the i-1 scale.

2.  Networks and organs that >-absorb or <-expel energy: external membranes, digestive tracts & limbs.

3.  Networks and organs that >reproduce cells or wholes of energy and information or <communicate them externally.

4. Networks that input or output information – senses and ‘nervous’ networks – that give origin to:

5. i+1 the whole ‘brain’ site of the i+1 consciousness.

So we define with those invariances and laws studied for each scale at the end of this paper, the following scales of reality:

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

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

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

4th Scale: Atomic Organisms: Periodic Table.

5th Scale:  Inorganic and Organic Molecules

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

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

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

8th Scale: |-Stars & O-Black holes.

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

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

Indeed, astrophysics uses the same laws to explain the ∞ small and large, because charges and masses are quantum and cosmic vortices of space-time with similar equations defining similar scales, in 5D metrics, as we ‘scale up and down’ the Time speed and size parameters of both scales using the human 1 sec/1 meter p.o.v.  Thus we see 3 i-scales of physical matter (of an ∞ number) from protons to stars to galaxies, atoms of a hyper-Universe.

And we unify masses and charges as the time clocks of those 2 scales, by translating the electromagnetic jargon to the jargon of gravitation.

Then, the same vortex equation, Universal Constant (Q,G) = ω2r3/M  describes both time vortices, charges and masses:

Since by substituting for the Sun-Earth and Bohr speed & radius / Sun-Earth & Proton-electron mass, we obtain for the 1st time theoretically G and Q, differing exactly by 1040the experimental difference of strength between both forces. Further on we find in the simplifying jargon of a gravitational vortex that a Proton radius has the same formula than a black hole, the Schwarzschild horizon. So Protons, stellar and galactic black holes on one side and Neutrons, stars and galaxies on the other are similar ‘static’ systems. While beta decays, Novas and Quasars that emit ¥-rays and neutrinos (the space bosons of the ¥ and Gravitational membranes) are similar dynamic systems in the 3 scales of the Universal superorganism. If we add that quantum strings are similar to cosmic strings and the Einstein-Walker model of Universal space-time considers each galaxy a hydrogen atom. We conclude the Universe is ∞ in scales as big-bangs of expanding-accelerating space are ‘balanced’ by galaxies that warp space into time vortices, creating a total zero sum of:

–  Masses and charges that in-forma the Universe (E>I or life arrow)

– And ‘big-bang’ entropic deaths that expand it (I<E).

Giving birth to the widest/longest life death cycle, E>I<E, imitated by all its parts, shaping the final Invariance, sum of them all,

Life-death cycles: Invariance of Time Ages.


The invariance of superorganisms made of physiologic networks that transform energy into information (Life arrow) and then explode information back into energy when they have exhausted it (death arrow) determines a sequential, existential life-death cycle invariant in all beings:

– i-1: Birth as a seed of information.

-Max.Energy x Min.Information: Energetic youth of external motions. E-Limbs and sensory membrane rule.

-E=I: Balanced, ‘classic’ age dominated by reproductive/communicative systems.

-Min.Energy x Max.Information: 3rd age dominated by the informative 0-point that warps&wrinkles all energy into form, exhausting it till…

-Min.E x Max.I<∑Ei-1: Death devolves information into formless energy.

In the graph, samples of the 3±1 ages/arrows of time in Universal Systems:

Birth:  i:       A seed of Temporal information, t, evolves into a complementary organism of temporal energy and information, tE, by absorbing energy, replicating its information and evolving in social cells: Life starts

Youth:  Max. 2Ð:      It has maximal motion and + entropy as it absorbs energy and reaches its maximal size: Max. Energy.

Reproduction: e=i It keeps in-form-ing itself till reaching an age of reproductive balance, Ti=E. We perceive that age as beauty, harmony between lineal energy & cyclical form.

3rd age: In-form-ation warps energy till its exhaustion: Max. 1Ð ð.

-1: Death: Information explodes back into energy, expanding in space, reversing the arrows of time: Temporal Information <<Energetic space.

Age of Entropic, kinetic energy ($),     Classic age of Harmony,  Old Age of information (ð),   Explosion and Death:

Human: Youth (0-20a.)    Maturity (20-40).       3rd age     and   death (60-80).

Culture: Epic, Lineal Art. Realist, Classic Art.  Baroque Art.  War.

Matter: t<tS: Plasma  Max. S: Gas     S=T:Liquid   Max. T:Solid     T(Mc²)<<S

Star: t<tE:Nebula. Max. E: Gigant star. S=T: Sun. Max. T: White Dwarf. T<<Sp Nova

Galaxy:t<tS: Jet  Max.E: Irregular.  E=T Spiral<=>Elliptic.  Max.T:Globular   T<<S:Quasar

Universe: t<tS: Big-banging; S=T:Stationary; Max.T:Vortex (Big-crunch); T<<S:Big-bang

In the graph, the singularity that existed prior to the big bang was an ‘old form’, Max.T=Min.S, of max. temporal information, defined by its minimal spatial size, which exploded into pure space, the bidimensional sheet of energy of the ‘young’ Universe, Max.S=Min.T, a form with minimal time and maximum space that now starts to curve again with time, creating the eternal cycle of the Universe, described by General Relativity in terms of its total space-time.

The Universe is a fractal superoganism of 5 Dimensional motions of time§pace (ab. Ðimotions). When we order those ‘dimotions’ in space we get a super organism, when we order them in time we obtain a worldcycle of existence, when we order them in scales, we obtain the 5 actions of all systems that absorb energy from its lower ∆-2 scale (humans absorb amino acids), information from its ∆-3 scale (humans absorb light), motion from its ∆-3 scale (humans absorb gravitation) or simplex actions, while developing two complex actions, reproduction and social evolution from its higher, ∆-1 seminal scale, ∆o scale and ∆+1 social scale. As such it has topological, spatial, mathematical properties; logical, temporal ones, and organic, scalar properties derived of its spacetime structure, which must be added to the usual analysis of time space systems. We consider then for each species of space-time a basic ternary description of its ‘adjacent topologies’ that define all systems as simultaneous super organisms in space; that will perform 5 ‘aeiou’ vital actions: accelerated motions, energy feeding, information gauging, offspring reproduction and universals’ evolution’.Life is a trip through the fifth dimension in small STeps, rigged by the fact that they can only be tied towards an increase of information, given the proper way to define its possible step-motions.
Space and time can have a lineal or a cyclical form. The process of bending is a slow down, the process of snapping a bent cycle rip opened in the process of death is much faster.
Dimotions can be measured as STeps of which the variety increases, from the initial 2 states, form and motion, space and time, to no-change, space-space, time-time or inverse change, S<t, t>s.
But as steps must finally close into a cycle, steps NEED TO BE at least ternary:
SS, and so on. Now those steps as ternary steps start to trace forms in the spacetime background or larger scale in which they can play at least 2 scales around in acts of entropy (Death and absorbtion of energy). When we see a superorganism thus it will have a vital energy encircled which is able to destroy at two levels below into entropy the regions around it, to extract the bits necessary for the steps of inner self-replication, ST=ST.
We shall call the following steps the 5 DImotions of space-time, or actions, now defined in its easiest quantitative form – steps:
SS (AB. §): Mental, Solid Form
$$§: energy becoming information
t>§: Information; perception.
TT: Entropic motion.
As soon as we observe the previous equation an astounding discovery comes in, by virtue of the state of space-time in which each action is defined, there is only a possible form to connect them repetitive cycles, $§.
This chirality of the Universe which comes from the very essence of its possible steps through the fractal generator, define then a possible only worldcycle: $§«$, where the last step is death which through a fast NON-t mediated process in a non-quanta of time the system dies back again, and the worldcycle is completed:

All systems, shown in the graph, follow those life/death ages, from matter (energy=gas, liquid=reproductive state, solid=informative state), to the Universe. Since the 3±i solutions to Einstein’s space-time equations ordered sequentially in time represent its 3±i ages, born of an i-1 black hole seed, expanded in a young, energetic big-bang, till a classic e=i steady state that ends in a big crunch collapse and final death into a reversed Gödel time vortex, as the cosmological energy constant becomes negative=informative. 

‘Existence’ both in physical and biological systems is a 5D travel, since all systems are seeded (Max.I  xMin.e)i-1, emerging at birth into its i+1 scale, to live 3 ages, as they change its relative exi proportions, till exhausting its energy and dying in a time reversal, I<E, to its i-1 past‘cellular-wave scale.


In the graph, Species are ∑herds born from a first individual ‘seed’ that evolves through 3∑±i horizons, similar to the ages of individuals:

– i-1 Seminal birth. The 1st species packs a lot of information in minimal space: It is the Black Hole, the chip, the 1st bilateral animal vernanimacula, the 1st mammal (shrewd), the 1st horse; the 1st Homo Sapiens, Homo Floresiensis, a dwarf with an evolved morphological Sapiens brain, who discovered language & technology; and the first, future ‘self-reproductive machine’ (nano-bacteria).

– Energic youth. Species grow in size with lineal-planar forms as carbohydrates, fishes & flat worms did.

ExI. Species suffer a reproductive radiation, colonizing new ecosystems as top predators.

– Max.I. Species suffer speciation, according to the ‘Ternary Law’ into:

A subspecies, dominant in energy, another dominant in information and a 3rd one, balanced in both parameters.

– i±1. Finally, a more evolved top predator of Max. ExI extinguishes most herd species but highly informative species evolve into i+1 social organisms, joined by a common language of information, becoming top predators stronger than individuals ∏Exi>exi (pheromonal ants, verbal humans).

What is the Universe?

The answer is surprisingly simple, from the perspective of systems sciences, also called complexity sciences, which as the name implies describes a reality not as simple as the one physicists are concerned with: A topological fractal that reproduces information in five-dimensions of space with time motion.

A mathematical fractal is then a ‘simplified, still mirror’ of the Universal fractal of space-time.

For one thing, besides the 4 usual dimensions physicists use to describe the Universe, x-length, y-height, z-width –the dimensions of space – and Time duration, t, the present dimension of ‘simultaneous time’, they calculate with ‘instantaneous derivatives’, (∂t=∂S/ v) the Universe ads:

A ‘long-lasting’ dimension of timespace from past to future, where the time component is more important:

It it is a social dimension because it evolves parts into wholes, and as parts must come first the future ‘i-logically’ must be the social whole.

The relative past OF UNCONNECTED PARTS, we shall call ‘entropy’ and the future, we call social form.

And so we consider that all ‘fractal systems’ of the Universe, start in the past as ‘unconnected, entropic flat herds in surfaces without form.

And as time passes, they increase their form; their in-form-ation, either as physical systems that ‘warp’ and curve into tighter wholes connected through topological networks with the passing of time (‘Time curves space into mass’ said Einstein) or as biological systems that ‘warp’, ‘wrinkle’ and increase the memorial traces of its ‘cycles’ of vital form; till in both cases, when all form is consumed in a ‘3rd informative age’, the system collapses, ‘devolving’ its information back into energy in the process of death.

So as we add a time dimension of social evolution, and observe how it works in reality we realize the dimension is ‘curved’ because the lineal time of physicists know ads a second time dimension hence obtaining a curved cycle but also because experience tells us that al systems ‘curve’ towrards a third age of maximal information and then die, erase its form back into entropy. So we establish the fundamental unit of relative past-present-future-past motions in time – the world cycle: 

Thus we establish besides the dimension of ‘temporal measure’ of ‘translation motions’ in space, (∂t/∂s/v), two more ‘arrows of time’, entropy, which physicists recognize, but have not integrated formally with the relative dimension of ‘future’, information:

Those two relative dimensions of ‘time motion’ are further connected by causal laws, embedded in a simple equation of time dimensions: Energy (past) <≈> Information (Future).

Thus the development of this equation of ‘duality’ with its multiple implications enlightens deeply our understanding of time and evolution with new formal and logical tools which our ‘present’ models of time lack (reason why sciences treat many causal ‘processes’ of time from past to future as ‘separate’, unconnected events).

– 3i dimensions of scalar complexity…

Of social evolution, as things evolve following a simple arrow of social, scalar evolution, creating ‘bigger wholes’.

So particles evolve in groups called atoms which evolve in groups called molecules, which evolve into cells which become societies called organisms that evolve into planetary societies, and as atoms also form, states of matter, and group farther into stars and planets, which evolve socially into galaxies, that evolve socially into Universes which might evolve even further…

Thus the Universe has also a series of scalar ‘space-time planes of relative size’.

And we use 3 of such scales, which we call i±1,the i-1: ‘cellular scale’, the i: ‘organic scale’, and the i+1 ‘social scale’, to be able to define the actions and events of any entity we describe.

We call this 3 social dimensions of parts that become wholes, ‘cellular units’ of other parts, the ‘complex’ or ‘organic dimensions’ of reality (since we focus them, from the perspective of the i-scale where a type of ‘entity’ and the ‘science’ that studies it, focus its definition; so for example, chemistry studies molecules, and as such in chemistry the i-scale of molecules, its i-1 scale of atoms and the 2 i+1 social scales of inorganic states of matter and organic cells, would form the 3 i±1 scales needed to fully describe the existence of such ‘molecular species’).

All in all complexity gives us a total of 9+1 ‘dimensions’ needed to describe fully any specific reality – 3 of space, 3 of time, 3 complex dimension and 1 for the whole.

And those are 6 more ‘dimensions’ complexity adds in its study of any species of the universe to the 4 dimensions used by physicists; which explains why Complexity brings about a much deeper understanding of reality, solving many problems and giving answers to many whys, which physicists do NOT even inquire with their reduced models of reality.

Those whys derive of the ‘unifying power’ of those 9+1 dimensions, since there are certain general laws, events and actions, which happen to any entity made of those 9+1 dimensions that apply to all physical and biological beings, thus unifying their life-death processes with those laws.

The fundamental novelty of this 9-dimensional description is the existence of a fundamental ‘entity’ in the Universe, the mind – ‘whole’ a 11 dimensional being, which harmonizes in this 10-whole dimension, the 3 spatial, 3 temporal and 3 organic dimensions of the system.

i-scales and dimensions of time: Past, Present and Future

.time dim ension

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

In the graph, we have written the 3 dimensions of time, past, slow energy and future, fast information with the human time-clock speed as our relative present, point of view. Since simpler scales are causally in the past; as an entity is created literally by informing, molding with higher i+1 networks, simpler scales ‘cell by cell’. When a light wave moves, it does not ‘displace’ but reproduces its wave motions, ‘warping’ simpler gravitational 1D string lines, by a height factor of –ct (Relativity). Motion is really reproduction of information on a simpler i-1 scale. Thus we describe the 3 Time Dimensions of ‘social evolution’ of light across 3 i-scales as:

– ∑: Color is the 4th ‘social dimension’ of light, made by herding together multiple frequencies of light into a photon, its present, simultaneous space dimension. As space from the perspective of time dimensions is a present ‘slice’ of the total time flow – the 4th dimension of time. While inversely the Present, simultaneous measures of Time, are in Relativity the 4th dimension of space. Yet we reach a sounder description separating those 3+3 spacetime dimensions, by using multiple time speeds instead of a single 4D clock.

+i: Fractal electrons are Light’s i+1 dimension of future network evolution.

-i: The gravitational i-1 scale in which it feeds is its relative, to which it returns after ‘dying’, red-shifting and expanding its length-speed between galaxies (z>c).

Then as light warps into more informative, smaller beings (Max.i x Min. E), first electrons, then molecular orbitals and so on, each new ‘scale’ of light space-time requires the previous scales to be born. Thus causally simpler scales are in the past. When your i-neurons, create your ∏-whole, they are in the past, requiring an action-bit of time to synchronize and emerge as an i+1 whole into the future. That’s why the subconscious rules, and the ‘ego’ merely observes with its electric whole brain waves; or the molecular orbital appears ‘after’ the atomic ones dissolve into the whole.

Further on, complex i+n systems move slower, as they draw more information in a single space-point. A light beam of pure ¥-space informs only a gravitational line so it reaches the maximal c-speed of our spacetime membrane. But there is another parallel Universe of gravitational scales, of E-speed and information-order, made of dark, gravitational energy, quark matter and quark, boson stars (black holes), which are accelerating vortices of w>C and T<0k  beyond the c-event horizon. And since we ‘don’t see’ gravitational information, its relative motion-speed is ∞, non-local.

 i-logic Geometry & Existential Algebra.


5D co-invariances show a Universe made of multiple scales of broken, intertwined ‘spacetime’ membranes. Thus, its formalism must combine geometric equations and causal, logic, sequential time laws. So we need to upgrade our simplex space language (continuous single space defined by Euclidean geometry) and time causality (Aristotelian one-dimensional causality from past to future, A->B) to explain multiple spatial scales and 3 time dimensions, past-energy and future-information combined into complementary, present beings. I baptized this new mathematic-logic formalism, ‘i-logic geometry’ that completes the 5 Postulates of Non-Euclidean Geometry.

Einstein used the 5th postulate of Non-Euclidean Geometry (Points through which multiple parallels can cross), to describe the structure of Gravitational space, using a single clock, the 4th present time dimension.

 To complete his analysis, we expand Non-Euclidean geometry, adapting the 3 Geometric, Euclidean postulates to multiple i-spaces and the 2 logic postulates (3rd& 5th) redefining identity and causality using the 3 dimensions of time.

– 1st Postulate: ‘A fractal point shows 3D volume as we come closer to it’Since only fractal points, which grow in volume as we come closer to their scale, can fit multiple parallels.

– 2nd postulate: ‘A line-wave is made of i-1 points with ‘breath’ that communicate energy and information among i-points’.

–  4th postulate: a plane is a discontinuous network of fractal points joined by waves of energy and information that leave interstitial dark spaces. (Particles in physical planes, cells in biological spaces and so on.)

– 3rd postulate: ‘2 entities are ‘equal’, when both, their external form (Euclidean postulate) and internal 3D parts are identical.’

Yet since we cannot perceive the complete internal information of 2 points, still and isolated by its external membrane (Galilean Paradox) instead of equality we talk of degrees of ‘similarity’. So Invariances between entities of different scales are NOT equalities but ‘similarities’.

-5th Postulate: ‘0-Points gauge information & energy, transforming waves of external i-n points into inner body cells and mind’s pixels.’

Thus we define sequential, causal mind-> body actions:

– ∆I -> ∏i+1(mind’s creation) ->  ∆E -> ∑exi (cellular reproduction)

And formalize the Galilean-Ego Paradox:

‘Every point of view=mind feels, subjectively, from his point to view, the center of the Universe, but it is only a zero-point, an infinitesimal mirror, which maps in stillness a minimal part of the ∞ information of the ∞ Universe’.

As Aristotle put it, ‘there are ∞ Gods, still minds that order and move the energy that surrounds them’. Since the ‘6th dimension’ of future is created first by 0-Minds who project their ‘imagination’ in the external world, re-ordering each scale. Thus minds are both the alpha and omega, described accordingly by the 1st and last postulates of the i-logic Universe:

‘The i-logic Universe is a Fractal, scalar super-organism, infinite in time duration, in time cycles, in spatial extension and spatial scales, in which all parts are self-similar to the whole, made of an infinite number of complementary systems of lineal energy and cyclical information, structured into social super-organisms, through 3∑±i scales, which constantly create 5 Dimensional, functional actions, lineal energy feeding, high, informative gauging, wide, reproduction, social evolution and travel through 3 of such scales in the life-death cycles of existence; all of which is expressed in a feed-back equation, from which all laws and equations of science can be deduced:


Which is the Fractal Generator=Creator of all existences.

Paraphrasing Einstein, i-logic geometry (space p.o.v.) = existential algebra (time p.o.v.) – give us both, the Thoughts of The Creator – the Generator Equation and ‘I=ts’ details – every part and event of the Universe, whose laws derive from such ‘Thoughts’:

Conclusion: A Universe of infinite fractal minds gauging information and shaping the paths of fields of space.


In the graph the Universe can be perfectly understood when the human mind and its subjective vision of reality from the perspective of its limited ‘Aristotelian’ and ‘Euclidean’, logic, (temporal and visual, spatial perception of the human mind) is considered only one of the infinite points of view, performed by particles and heads that gauge information, move energy and constantly create the events of the universe. Each of those particles and heads create its own perspective and mind view, or mapping of the Universe to which they act-react accordingly.

Thus once we go beyond the simple mechanisms of measure and languages of the human mind we can widen our perception of a Universe made constantly by infinite points of view, time clocks that gauge information and scales of vital space in which those mind species host their bodies that move them.

Then we can understand a Universe, simpler, repetitive and yet richer in its creative capacities, whose general laws apply to every mind and species; each one a part made to the image and likeness of the whole. 

It would seem impossible to understand the Universe with the limited tools of the human mind, but it is not.

The Universe is simple in its ultimate principles and structure. The main reason humans do not understand it, is not the complexity of its principles and organization, but the fact we are NOT objective beings, made to ‘comprehend’ but biological beings made to ‘want’ and ‘survive’.

So we want to feed and perceive, and reproduce and win the battle of existence and become the center of a Universe, which does not care about humans and this hurts our ego.

Thus in subtle and not so subtle ways mankind biases his understanding of reality to place himself ‘theoretically’ in the center, either through anthropomorphic religions, or sciences in which man is the only intelligence and our machines the only rod to measure reality and our mind, the only conscious experience of it all…

We creates tools of measure where our space size is the only space ‘continuum’ or scale of reality that matters, and our clocks of time are the single standardized time of the entire Universe, which must rule all its rhythms. We define life as only those organic systems made with carbon atoms as we are and we consider that the will, freedom, consciousness and perception of existence are properties that only apply to us, human beings, and our relatives, animal life.

It is with those subconscious traits of our subjective mind, which measures from its point of view and hence considers his nose bigger than Andromeda Galaxy, how man has approached knowledge and failed to grasp the simple, scary truth about the Universe:

‘Every mind is an infinitesimal point that maps out an image of the infinite Universe, it confuses with reality itself, thinking his point of view is the center of the Universe’.

This mind of man that creates a mapping of the scanty proportion of the Universe it perceives and then reflects with synoptic mathematical, visual and verbal languages in its diminutive brain, is just really one of the infinite points of view of the Universe that gauge synoptic information and act-react to it in the same fashion. But we cannot perceive or care for all those other minds. So we confuse reality with our mind and reduce the Universe to what our mind sees, even think that our synoptic languages, numbers and words are ‘the substance’ and nature of reality (scientific platonism, specially endemic among physicists or/ and wor(l)d religions for whom God ‘is’ the word – Islam, Christianity).

We are nothing in that Universe, not only in terms of intelligence, role or raw power, but also in terms of perception and fitness to survive on it. Still if you can get away from your ego, your mind, your instincts and emotions, all is there to perceive it in awe with the humble realization that we are just a part made to the image and likeness of the whole.

Then if you are humble enough to forget your ego and your human condition you might instead wonder, admire and worship the astounding perfection of the Universal Game.

Let us then start from the ‘two fundamental’ motions of time, past-energy and future-information.


We are all systems of spatial energy and temporal information that combine to create the infinite actions and systems of the Universe.

In the jargon of physics we talk of clocks of cyclical time that carry in their frequency the information of the Universe – charges and masses – moved by fields of energy that occupy a certain vacuum space. In biology we talk of heads, brains and cellular nuclei that process information, moved by bodies and cytoplasm. Each system will display a certain type of ‘spatial energy’  or ‘vital space’ and process information with a different network of logic paths, though particles, genes, chips or brains, but all those systems will obey to certain laws natural to the 2 formal motions that ultimate explain the game of ‘creation and extinction’ of systems of energy and information, which is the dynamic universe.

Physical systems are always made with a field of energy and a particle of information and one cannot exist without the other (complementary principle of quantum physics).

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

Sociological systems are divided into networks of upper class cells/citizens who control the languages of information of society and its working, body class that reproduces the products the body needs to survive.

All those systems and many more systems studied by all type of sciences, arts and religions can now be understood with self-similar laws derived of the General Laws of all Universal, Complementary systems of energy and information, E<=>I

And General Systems Sciences, also called Complexity is the XXI century discipline that researches those laws.

As such when Mr. Hawking affirmed that Complexity would be the science of the XXI century he was right.

The XIX century was dominated by Biology and Evolution, with the work of Darwin and Marx, who applied Darwinian concepts to History. In the XX c. Physics dominated. But neither Biology, focused in the study of systems that dominate in dimensional form, in in-form-ation (life and social systems), nor Physics focused in systems dominated by energy, suffice to understand the full ‘picture’ of the Universe.

Only a science that fusions both arrows of time, energy and information, and explains the Universe as a complementary system in which those 2 ‘arrows’, ‘motions’ or ‘forms’, interact together, can extract the most general sciences that explain reality.

And that is the task of General Systems Sciences.

The first breakthrough though to achieve an all encompassing view of sciences, which put together the concepts of energy and information took place in physics, with the discovery of the fundamental unit of the universe, the action of energy and time.

Max Planck the founder of quantum physics discovered in the 1900s that the Universe was made of actions, not of substance but of motions, composed  of energy and time: A = E x Ti. Light, the ultimate substance of creation was a motion composed of two different motions, cyclical clocks of time, and lineal motions.

Energy and Time clocks are two types of motions; so the universe was made of motions not of substances, a maya of the senses… This Galileo already noticed when he said e pur si muove e pur no muove. That is, the Earth moves but it seems to be still, so our eyes can perceive and gauge information.

Those simple principles are the essence of the duality of the Universe, from where all other laws of science can be deduced.

Indeed, we generalize the principle to all systems, and write, energy as E, Time, as I, and actions as their product, ExI, which is maximized by a simple mathematical law, when E=I.  So 5 x 5 is bigger than 8 x 2.

This equation E=I, which implies all systems seek a balance between its spatial energy and temporal information is the new fundamental equation of XXI century science.

As it describes all the systems of the Universe, as complex systems of energy and time, in permanent motion, gauging information, moving with energy, and combining both, exi, to create, decouple and reproduce similar systems, in an immortal Universe made of infinite fractal complementary systems of energy and time, including you, who sometimes say ´i dont have energy and time to do this.

As actions of energy and time performed with your system is all what you or any entity of the Universe does.


The scales of the Universe, its systems and sciences.

universal organism

Sciences study Systems of energy and information.

And General Systems Sciences unifies them lying down a series of Laws that all Systems follow, based in that simple fact – that all what exists is made of two components energy or space (moving/static view) and time or information (moving/static view).

The result is a Unification Theory of All Sciences.

General Systems Sciences were founded by Bertalanffy and in Macy’s congress after Einstein death set its fundamental goal:

To find a formalism to describe all what exists in the Universe as a System of energy and information.

The idea was to unify Physics, the science of energy and Biology the Science of Information, and the formalism was called the Feedback Equation that related those parameters, E, and I:

E <=>I

Scientists know better is expression as the fundamental law of science:

‘In the Universe Energy never dies, only transforms back and forth, into In-Form-ation’.

So simple and so profound.

And yet for 50 years  the discipline languished precisely for lack of the formalism, which I just showed, in which I worked alone in the 80s and 90s, outside the Systems Sciences community – not even knowing it existed.

My initial goal was to unify biology and physics with that concept, and to that aim, I knew i had first to expand the Logic  Syntax of science, as Logic was stuck in single time causality (Aristotle)

Indeed,  if the Universe was made not ONLY OF ENTROPY or ENERGY, the arrow of time (the direction of the future) Physicists sponsored, neither ONLY of Information, the arrow of time Biologists sponsored but of both, it followed we had to advance Logic causality from the simplex A->B unicausal, ‘ceteris paribus’ analysis of Aristotle, to a dual time arrow:

A<->B, where A is a function of energy and B a function of information.

E<=>I, thus became the new equation of the arrows of time.

But then i found that since mathematics was based in Aristotelian Logic in the present formalism (as per Hilbert et al.), i had also to modify and improve the mathematical formalism of Euclidean mathematics.

As it happens, this had already started with  its modern Non-Euclidean development, ‘1the famous 5th non-euclidean postulate of parallels).

This part was also a fascinating endeavor, as I just reasoned that perhaps the way to go was to CONVERT THE OTHER 4 EUCLIDEAN POSTULATES to Non-Euclidean Geometry, which I did, defining a new unit of mathematics, the Fractal Non-Euclidean point, which grows in size and information as we come closer to it, enlarging our view of its ‘scale’ of the Universe.

And so what I found is that the Universe was a scalar Universe, in which each science formed a ‘step’ of that scale, studying the species of its ‘relative size’.

And this could be formalized with a 5th dimension of scalar depth, whose fundamental ‘Metrics’ were ruled by astonishing new law of Nature, the equation of inverse properties of space-time:

Max. E x Min. I = K.

That is the smaller we became the faster our clocks of time tick. But the product of both were proportional.

it is then easy to define the ‘5th dimension of the Universe’ as the sum of all the scales created by changing the speed of time and space of a piece of reality enlarging it.

So we can travel through the 5th dimension as there is a balance between space-size and time speed, ti, such as if we diminish in Space = Min. size, we accelerate our clocks, Max. Ti, but both together are in balance:

SE x Ti = K

This is what causes the metabolism of rats to be faster than that of humans, or a fly to see and think with images 10 times faster than you do.

In fact, all those scales were decametric, such as any new scale of the Universe was 10 times smaller and 10 times faster than the biggest next one.

So the Universe have a scalar, decametric 5th dimension, of which scientists did know nothing at the time I discovered it.

But all the laws of each scale could be defined now easily with the new, more powerful tools of ‘Non-Euclidean Geometry’ and ‘Non-Aristotelian, dual Logic’.

And so in the 90s I was able to deduce with those 3 tools – Non-AE Logic and Geometry, which i called with the next letter, ‘i-logic Geometry’ and the Feed-back equation of Energy and Information, E<=>I< which I called the Generatrix equation of the Universe, ALL THE MAIN LAWS OF ALL THE DISCIPLINES OF SCIENCE.

The result was the depiction of an organic, fractal Universe made of infinite systems of energy and information.

So this blog will try to introduce the model of General Systems Sciences based in the Law of Conservation of Energy and Information, its i-logic Geometry, its formalism and  the Generatrix equation of the Universe, at 3 levels of increasing complexity – the 3 ‘sections’ of the right side of the web.

It will be filled with further articles as life goes by with increasing detailed analysis of each scientific discipline, gathered in 5 sub-fields that develop the Common Laws of all systems across all scales of

– The fifth dimension:

– Non-Aristotelian Time Logic.

– Non-Euclidean mathematics.

– Physical Systems

– Biological Systems.

– Sociological Systems.

As I have been so far logically deduce all the fundamental equations of all sciences with the model.

What the name of this science ‘general systems’ represents is now easy to understand with the foundational postulate that widens in verbal terms the meaning of the Generatrix equation E<=>I:

All what exists is a complementary system of networks of energy (bodies/fields/working classes) and information (heads/particles/informative classes), which balance each other, sharing energy and information among them, to reproduce similar systems in other regions of space-time.

In Physics all what exists are particles of information associated to energetic fields that move them, and only both together exist (Complementarity Principle), creating a physical entity in balance, which can decouple=reproduce creating self-similar particles.

In Biology cells have a DNA nucleus of information, surrounded by cellular cytoplasm that provides energy to the nucleus; or an informative head moved by an energetic body. And only both together can exist, creating a biological organism. There are no bodies without heads and red cells without nuclei die faster than any others. And cells and organisms can reproduce self-similar forms.

In history priests and politicians issue ethic laws to direct a mass of citizens.

Finally, in the economic ecosystem money acts as the informative language that gives orders to the physical economy, which reproduces all types of serial machines.

So E means field/body/middle class and I means particle/head/informative class in the 3 main type of human disciplines of experimental science, physics, biology and sociology.

Marvel at the beauty of a Universe, made of similar entities, in eternal balance… except the world of man, ill-designed… by lack of understanding of those laws.


Now we have observed the existence of key isomorphisms in the Universe.
Those isomorphisms however are not known to common sciences. Not even the term isomorphism is common to them. So we must substitute it and we shall substitute it for a jargon more proper of mathematical, logical and physical sciences, that of ‘invariances’ and ‘co-invariances’ and ‘dimensions of space-time.
And affirm that the Universe displays 7 fundamental ‘co-invariances’ or balances between the energy and information content of a system, ExI = K.
And those invariances are the isomorphisms that we find in all the scales of the Universe, in all its species.
And so we can group all those isomorphisms to create a new ‘dimension of space-time, the 5th dimension, whose geometry will be precisely the ‘co-invariances’ and ‘invariances’ or isomophisms among all the beings of the Universe.
1. The fractal, scalar Universe and its co-invariant metrics. 5d metrics best

5th dimension’s co-invariance in cosmic, human & atomic space-time scales

The 5th dimension of space-time’ (abb. 5D) is the dimension of spatial size and speed of temporal clocks that carry the information of the Universe in the frequency of its cycles.

– By spatial energy we mean 2 parallel concepts, perceived in different ways:  Static space that defines size, perceived also as a sum of lineal motions or ‘Energy’. Since space is the ‘continuous’, static, whole perception of infinite quanta of moving vacuum energies: S=∑E. Thus space distances and lineal speed motions mean the same. So astronomers say Universal space is ‘expanding’ meaning that galaxies are moving away.

– Temporal information means 2 parallel concepts, also perceived differently. Since a bit of information or ‘hertz’ is completed in any system when a clock cycle is closed. Thus, the faster any biological or physical time-clock turns, the more informative hertz-cycles it processes, as it happens in computers, complex system of time clocks, whose logic cycles process in-form-ation. Thus the absolute time of the Universe is the sum of all the time clocks and informative cycles of the Universe; T=∏I.

Thus, we talk of cyclical, temporal information and lineal, spatial energy as the 2 primary motions=substances=forms=actions of the Universe.

And we call its perceptive dualities of ‘Endophysics’ the Galilean Paradox, as humans perceive the Earth still as a whole space. But as we increase the quantity of information=truth we perceive it becomes a rotating, moving mass of atomic clocks (‘e pur si muove e pur no muove’).


Thus both Space & Time co-exist in several scales of size with different quantities of information or ‘i-scales’ and similar ‘fractal’ properties; both, as a whole and a sum of parts in motion and stillness. Yet the maximal truth=information defines a fractal, scalar, moving, dual Universe of ∞ clocks of information, simple knots that enclose ∞ ‘vital spaces’ (Fundamental Knot Theorem) are illustrated with Galileo’s depiction of Saturn’s ‘flat, still, ring’, which are in fact multiple turning clocks in motion with several size scales. Thus Spaces & Times have inverse, complementary properties that balance each other, in each system, defining the Geo-‘metric’ equation of the 5th dimension that resumes those co-invariances:

SexTi=K or Se<=>Ti,

as energy and in-form-ation trans-form into each other ad eternal.

When complementary systems grow in spatial size the speed of its clocks  or ‘time cycles’, which carry their in-form-ation in their form and frequency, slow down proportionally, both in biological and physical systems and vice versa: as we become smaller time cycles tick faster and the frequency of information processing accelerates in all species.

Thus 5D co-invariant metrics rewrite the fundamental equation of science, the principle of conservation of energy and information and its Fundamental Particle: a Complementary entity made of a field of energetic=moving waves or a body of vital cells, ∑E, in-formed by still, informative particles-heads, which are knots of clock-cycles, ∏Ti; structuring two poles that constantly exchange energy & information, keeping its balance:


I.e.: The clock-like cycles of matter – planets, stars and galaxies – slow down as we grow in size and vice versa: smaller molecules, atoms and particles tick faster, as we shrink. So Mercury turns faster than Pluto according to Kepler’s 3rd Law, and any clock-like vortex turns faster the smaller it is: Voox R=K. Since Kepler’s 3rd Law and the equation of physical vortices are particular cases of 5D co-invariant metrics.

– Thus charges and masses are clocks belonging to the quantum and cosmic i-scale, defined in 5D metrics by the frequency of its accelerated vortices that determines its attractive force (Einstein’ s Equivalence Principle):

E=Mc2 + E=Hƒ -> Mc2=Hƒ->

M= (H/c2)ƒ->M=Kƒ.

They are also the first clocks of in/form/ation of both i-scales. And its ‘Universal constants’,

Q & G ≈ O-Ti  / |-Se

define the relative proportions of Temporal Information & Spatial Energy of each membrane of space-time.

  Invariance of Time Ages: Past, present and Future.

The same time acceleration happens in living systems: Small animals have faster metabolisms and cells reproduce daily while their super-organisms reproduce once a year.  Even machines follow the main 5D co-variance. A computer processes information faster the smaller its chips are, as its logic cycles close its shorter paths in lesser time. Since a 5D vortex of temporal information is NOT a fixed, spatial substance even though systems of enormous time frequency (masses, charges or car wheels) seem solid, static space (Galilean paradox). Yet they exist dynamically as motions in time.

This fact allows the temporal analysis of ‘slow’ 5D beings, beyond the ‘Maya’ of our senses. Since the acceleration of all vortices of information explains also biological evolution. Living systems grow in information:

– As individuals that undergo 3 ages of increasing information, from youth, the age of maximal energy to a balanced, longer maturity, ∑E<=>∏Ti, to a 3rd age of warped bodies and maximal information.

– As species that go through 3 horizons of growing, informative intelligence.

– As social super-organisms that constantly increase in technological complexity (human civilizations).

All systems undergo an accelerated vortex of temporal information perceived in very fast, cyclical particles, as a solid simultaneous, present space and for slower, evolving, aging systems as a causal time chain:

  1. Max.E (Past, |-Lineal Energy, Youth)      -> E=I: Present, Balanced, Repetitive, Maturity          -> Max.I: Future, O-Cyclical, Informative 3rd age

  Invariance of Spatial Topologies: O-Heads, Ø-Bodies & |-Limbs.

In terms of spatial ‘topologies’, those 3 Dimensions of Time translate as:

|-Motion (Past) x O-Form (Future) =Ø-Present Space-time Action: | x O= Ø

Those inverse shapes of |-energy and O-information, make complementary Ø-systems recognizable in any scale and define the co-invariance of Topology. While:

Past-Energy x Future-Information=Present, Complementary Systems

Becomes now the Causal equation of Non-Aristotelian logic that substitutes Aristotelian, one-dimensional causality based in a single time ‘arrow-dimension’, (Energy or Entropy) translating the equation of 5D metrics, SexTi=K, into the invariance of the 3 dimensions of time.

Together, they show the identity between the 3 Spatial & Temporal Dimensions, which are dual still-motion perceptions of the same geometries=events (Galilean Paradox), followed by all entities of any relative 2D, 3D & 4D Universe:

– The Dimension/Motion of Time-speed=Information is a cyclical, imploding motion that creates order and contracts space. In 1D is a closed string=Time Clock (dual perception as form-motion). In 2D is a mass= Accelerated vortex. In 3D is a charge=electron orbital. In 4D is a ‘World-line’, in true form a life & death world-cycle. We write Ti, O (still perception), or E>I, using a dynamic, informative, implosive symbol, >.

It is maximal in black holes and Neurons (physical/life systems).

– The Dimension/Motion of Spatial Energy, is an expanding, lineal motion or growing distance that dissolves in/form/ation.

In 1D is an open string/lineal motion. In 2D an expanding bidimensional big-bang. In 3D Energy, which explodes in 4D as entropy.

It is maximal in vacuum space and water (Physical-Biological systems). We write | and Se (still perception), or E<I to describe any entropic, expanding ‘<’ action.

And define the life/death cycle as a dual motion in the 5th Dimension:

Life-Youth: E >I <E : 3rd Age-Death.

Thus 5D metrics, perceived as SeóTi interactions, define also the events in time and the structure in space of most parts and subsystems of reality, made of energy fields and particles of information (Complementarity Principle) or bodies of energy and heads of information (biological systems):

|-Se (bodies/fields) < x > O-Ti (particles/heads)=K (Stable system)

Max.Se=Min.Form (Body/field) Vs Max.Ti=Min.Extension (Head/Particle)

Se-parts move the whole system. They are lineal planes, the shortest distance between 2 points – from light to legs or planes. While Ti-parts gauge information. They are cycles or spheres, the geometries that store more information in lesser space, from eyes to particles to brains.

Thus complementary systems in 2D are made of |-Energy x O-Informative organs. While in 3D Universes complementary systems are made of an assembly of its 3 only topologic varieties that perform 3 organic functions: Max. E, closed limbs or sensorial membranes; Max. I, Hyperbolic, informative zero points that gauge information; and E<=>I: Toroid bodies that communicate, combine and reproduce both:

1st Ðimotion: informative particles/heads: §ð 2 Ð: limb/potential momenta: st.
3rd Ð: ∑e x ∏i: body waves: ∑∏, ST. 4th Ðimotion: entropy: ∂S. 5th Ðimotion: Organic evolution: ∫T.   – We conclude that the Universe is eternal, made of 2 motions – NOT of substances – and its E<=>I combinations that define its Fundamental Particle-system, Se <x> Ti : |-Limbs < Ø-Body > O-Point


– Since the metrics of 5D for the whole space-time Universe are the same than the equation which defines the 3 topological parts of any system we conclude that we do NOT exist over an independent space-time but we are made to the image of the whole space and time, each of us is a complex system made of fractal quanta of energy and bits of information, of circadian or physical clocks and surfaces of vital space, imprinted by the form of those cyclical in-form-ations.

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

– Since 5D invariances apply to all Complementary systems of the Universe, we exist in a PANTHEIST Universe, in which each part is made to the likeness of the whole.

4. Co-invariance of Dimensional Actions.


– All complementary entities displace a particle/head that gauge information over an energy body/field directing its actions, which are MOTIONS WITH FORM, e x I events that combine the 2 elements of reality.

What are the types and purpose of those actions?

If we depart from 2 motions, energy and information, expansive and implosive motions, we can combine try to obtain more of them in ONLY 5 Invariant actions:

– ∆E (feeding); ∆I (informing), the Primary actions that fuel body and head.

– e<=>i: Communication; exi: creation of complementary systems, which sometimes we group together as ‘present’ reproductive actions.

– And 2 types of social growth: ∑Ei: energy herding in the same scale and…

∏±i creation of informative networks, the more complex action, which also gives birth to complex reproduction across 3±i scales.

Since each entity is sandwiched between two scales, i±1, ∏±I signifies the creation of networks, in which each ‘neuron/particle’ communicates with all others, through its axons/bosons, forming a ‘whole’ new i+1 unit while controlling its herds/waves of loose cells/fields with those ‘axons/bosons’ invaginated the lower i-1 chemical/gravitational scale.

Unlike herding of parallel quanta in the same i-plane or reproduction of a wave that imprints its form in a lower scale, i-1, network creation is multiplicative, ∏, as the number of axons is a potency law of its neurons, so it is the ‘momentum’ of a particle-field (mv2). And since creation of social, organic networks, requires all other actions, it is the summit of the ‘program’ of the ‘biological’ Universe that all its species follow.

So all what species do is: >I: Gauge information; <E: Feed on Energy; ∑ei, herding with parallel beings or exi, merge into complementary systems;  combining those simplex actions in a single plane, across 3±i scales:

– Reproducing self-similar entities: EI>∑eii-1>ei or evolving socially with them into bigger networks, creating more complex planes of existence, fractal super-organisms: ∑Ei-1<=>∏Ti

All what any entity including humans do during our entire existence from seminal cell to dying body, all can be explained with those 6 actions: Feeding, informing, communicating, herding, reproducing and networking.

Further on each of the 6 ‘existential actions’ and their functions are an isomorphism of each of the 6=3 Space+3 Time dimensions of reality, forming together a causal sequence, as complex actions need previous simpler ones to ‘exi=st’. Thus actions, functions=forms=dimensions & time sequences are related, creating parallel invariances that define each  fractal’ diffeomorphic entity or ‘world’ constantly ‘filling’ with those dimensional actions its vital space, part made to the likeness of the whole Universe:

– ∆I: Any entity needs first to perceive-gauge information from an advantageous ‘point of view’. So all p.o.v.s, are ‘on top’ in the dimension of height, from heads to antennae to black holes.

– ∆E: Then the entity will move to a field of energy to feed, through its faster lineal path. So ‘length’ becomes the dimension of energy and main body orientation, from ¥-fields to sharks.

– Then we communicate eÙi with similar beings to herd or reproduce in ‘empty’ regions of space-time, so width becomes the reproductive or communicative 3rd spatial dimension, where we accumulate new cells, send our words as we walk in parallel dimension.

– We observe also those 3 perpendicular dimensions in ¥-light fields, corresponding to their diffeomorphic electric=informative, magnetic= energetic and reproductive c-speed, product of exi (Maxwell’s equations). Since light is not an abstract, independent space-time background: Our mental space-time is made of ¥-information, so we share its Euclidean 3 Dimensions. Vacuum space is light. So background radiation cannot be extracted: it is space itself.

So the 3 Space-dimensions are functional actions with a causal sequence:

Informing (Height)<Feeding (Length)>Communicating/reproducing (width)

What about the 3 Dimensions of Time and its parallel actions. To understand them, we need to study now the time structure of i-scales.


Let us now without entering in great detail about the 10 dimensions of the Universe, attempt a qualitative description of that whole reality, departing from its simplest ‘metric equation’.


In the graph, all the sciences of the universe study systems of energy and information that obey the same laws.

Most scientists think that physics is the queen of sciences because it has found the fundamental particles of the Universe, and it could have been. But XX c. science has an extraordinary error – its incapacity to understand properly the arrow of information and to define properly its concepts, that is to interpret its mathematical equations.

For example, the previous description of a Universe made of motions not of substances or particles is still ignored by physicists. They just write the equation but dont know what an action is, what time is… We shall see soon how this happens also with basic concepts as mass, wave, space, energy, charge… etc. etc.

Consider the case of mass. Mass is a vortex of gravitation and charge a vortex of electromagnetism, two different forces, which curve and attract as a hurricane does, or any vortex, towards its center. So we write E=M(i), which is E=M, the way to write Einstein famous equation, E=Mc2 in the so-called Planck notation where c=1.

This again physicists know – the equation – but they have never been able to define conceptually mass, or understand how energy, a lineal motion, becomes mass, a cyclical vortex, by merely bending, curving its trajectory. Since they still think of masses as particles not vortices, and hence cannot transform those 2 motions into each other.

All this and much more is what the approach of General Systems Sciences does.

What General Systems Sciences does is to search departing from the philosophical realization that the Universe is made of two type of motions/forms – lineal motion or energy and cyclical motion with more form, more dimensions or information, common to all species, the laws of motion and form that apply to all species of the Universe. It calls those laws isomorphisms. And so we talk of some essential isomorphisms common to all entities of nature:

– The time isomorphism of the life-death cycle and how it goes through 3 ages, youth or the age of energy, maturity when energy and information are in balance, and 3rd age of maximal information.

– The space isomorphism of topological forms, as all systems are structured in space with the 3 canonical shapes of topology, the informative hyperbolic shape proper of heads-particles that gauge information, the planar shapes of all external membranes that define the frontier of the system and the toroid, cyclical shape of the body-wave that reproduces in balance between energy and information, the whole system.

– The scalar isomorphism as those systems are complex wholes made of parts and as such they always structure through 3 scales of relative size, which we call the particle-cellular, organic-atomic and social-molecular scales (physical-biological jargons)

– The time-space isomorphisms or actions the entity displays in the world in which it exists, restricted by its ternary structure, made of energy that it maximizes by feeding, information that it maximizes by gauging-perceiving, reproduction that it maximizes by iterating its structure,and social evolution from parts into wholes that it maximizes by sharing energy and information with self’similar systems, which in poetic terms could be called by the power of love.

Those isomorphisms and its laws and formal structure which defines all Universal complementary systems, from atoms to galaxies, as organic – as they are also the properties that define life systems – are the main themes of study of General Systems and this blog.

Why we study an entity only in 3 dimensions of scalar complexity, if it is obvious that those ‘scales’ might be infinite?

So far we know that they extend from strings to Universes. And within our realm of perception, from atoms to galaxies. Yet the similarities between ‘micro-strings’ and ‘cosmic strings’, and as we shall see between atoms and galaxies, might imply that the scales are even beyond those ’10 basic scales’, and as it happens with musical scales, which after the 7 tones return to the same ‘sensation’ of sound with a higher pitch in a ‘higher scale’, it is a question to be answer by complexity how many scales the Universe has.

In any case to ‘describe’ a single, individual entity, which is after all what sciences do, it suffices for most of the laws and implications, events and vital spaces developed by a species to study it through 3 dimensions of complexity, that we shall call generically the ±i (i±1), dimensions of the ‘organism of information, i’.

It can bee then anything, any species of the Universe, from an atom to a human, from a galaxy to an ant.

Any of those ‘is’, will however co-exist and evolve in time, through 3 scales of social complexity:

i-1: Its cellular scale where it will be ‘born’, and then evolve with a reproduced ‘herd’ of similar species, till emerging into its individual state. Then as an individual it will participate into:

i+1: a society, or ecological network where it will obtain its energy and information, till…

i-1: the moment of death in which it will dissolve back into its cellular scale.

Thus systems undergo during its ‘time evolution’ from past to future, between birth and extinction, not only the ‘worldline’ trajectory that physicists describe, that is a series of spatial motions, but a worldcycle, through the added new dimensions of informative complexity that makes the system, grow in social size, emerge into ‘higher planes of existence’ and regress to its cellular state.

From galaxies that start as interstellar gas, organize into stars which organize into social galaxies, till they die away and explode into novae, to humans that are born as seminal species that develop its worldcycle, through the scales of complexity and then die back into cells; all species of the Universe follow this ‘life-death cycle’, which must be considered mathematically as a travel through the 3 dimensions of complexity.

And so complexity adds to the 4 normal dimensions of physicists, 3 more of complexity the i±1 dimensions of social scale.

But immediately we realize that those dimensions are played in a long range of time, the longer the bigger the system we study is.

So how can we formalize those ‘life-death journeys’, through the dimensions of complexity? (which if we call 4, the dimension of time – despite being in fact 3 dimensions past, present and future – we could call together the ‘5th dimension’, name I gave it in those papers and books where I treated them all together. Yet in this paper, we will abandon this simplified, 3+1+1=5 dimensional view, to consider all the 3 x 3 +1=11 dimensions of the ‘being’).


The program of existence.

So both fundamental, dynamic elements of all  systems of reality, energy and information, unify the ‘existence’ of all beings, which happens in a social manner across its cellular, individual and social scales.

In fact, ‘E<=>I’ duality and ±i ternary, hierarchical scalar nature,happen in both physical and biological systems, structured into a ‘cellular/particle’ to ‘organic/atomic’ and ‘social/molecular scales’.

In physical systems we find the particle, atomic and molecular scale in the smaller, simplest physical systems we perceive; and the star, galactic and universal scales in the bigger systems we observe. And in fact, in the ‘hardcore’ mathematical model of the ‘fractal, organic, dualist, systemic Universe’, we shall find that the equations of atoms and galaxies are self-similar, hence it might be possible the existence of a Universe of infinite scales, in which each galaxy is a new atom of a higher i-scale.

In biology we can also talk of several scales from bio-chemistry to sociology. And again we find similarities in the cellular and social scale (for example, the way factories and ribosomes ‘assembly’ and reproduce new products).

Now, the reader should understand a subtle philosophical difference between ‘equality’ or ‘identity’ and ‘similarity’, which is the term used in General Systems Sciences and the laws that all its systems obey. We talk of ‘homologies’ and ‘similarities’ but not identities, as it happens in a ‘fractal structure’. When we become smaller a fractal shows the same patterns repeated, but not equal patterns. So while atoms might be similar to galaxies in their formal and systemic structure they are ‘not’ galaxies. And while cells might resemble factories they are not factories. And yet those ‘isomorphic’ laws do happen because essentially all comes from a simple ‘geometric game’ of lineal motions/forms (what we call energy or space) and cyclical motions/forms (what we call information or time clocks). This essential duality between ‘distance-space-lineal motion or energy’ (we can always see reality in motion or as a still distance) vs. ‘cyclical clocks, motion, implosive information, dimensional form’ is what unifies ultimately reality. And if we add the pattern of parts that become wholes, units of bigger parts, we have the two ‘structural’ elements of reality.

But we STILL NEED  a cause, a will, a reason why cyclical and lineal motions ‘beat’ constantly in the Universe. And this is the program of existence, the will of a living, organic, sentient Universe, in which all is made to the image and likeness of the whole, and its parts. Where there is no really difference between what a human does and an atom does.

Since we find, that due to that dual, scalar structure also both physical and biological systems, process energy (feed on energy to move), process information (gauge information to orientate its motions), reproduce or decouple into similar systems or particles and evolve socially, ∑, into bigger systems.

And then, astoundingly enough, we observe that in fact all complementary systems of the Universe, do ‘Feed’ on energy, ‘Perceive’ information, ‘Reproduce’ their systems and ‘Evolve Socially’ into wholes, if we were to use ‘biological terms’. Quantum theories are called ‘gauge theory’, because particles seem to gauge information. Sociological groups are called ‘fields’ because they can be studied with physical laws in their motions. When we accept the essential similar hierarchical, scalar structure and dual energy-information dynamics of all systems then we come to startling conclusions regarding the equalitarian nature of all systems of the Universe, different in ‘quantity’ and ‘complexity’ but not in ‘quality’.

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

We call those ‘4 drives of existence’, feeding, perceiving, reproducing, and evolving socially, each one represented by a symbol of the ‘Generator Equation of energy and information systems’, ∑ (herding), E (feeding) , <=> (reproducing), I (informing), the program of the Universe and each atom guided by its 4 quantum numbers perform it. And each human with its cycles of working, informing, entertaining, eating, moving, loving, acting socially performs it.

Conclusion: the 4 isomorphisms of the Universe and all its systems.

Thus there are 4 fundamental isomorphisms in all the General Systems of the Universe that GST (General Systems Theory) Studies:

– The 3 ages of time of all systems: Max. E (Youth), E=I (reproductive maturity), Max. I (3rd age), reversed by death: Max. I->Max. E:

In the graph, from:

– Socio-biological systems, for example human, life and social cultures and its collective artistic mind, all systems go through a young lineal age (of epic youth), a mature, classic, beautiful age of balance between energy and information, a 3rd age of excessive form and a death that explodes us back into energy (or in civilizations that kill cultures in war), to:

– Physical systems that go from an earlier age of big-bang, energy-gas state, to an age of balance or liquid-steady state, to an age of form, the solid, black hole state, which happens in all scales of the physical universe, from matter to stars to galaxies to the Universe (3 solutions to Einstein’s equation)

all systems suffer the 3 ages of life-death cycles.

– The 3 topologies of space of all systems and its 3 physiological networks that fusion  ‘form and function’ :

Energy limbs (max. E), information particles/heads (Max. I) and reproductive body systems (E=I).

And as it happens in our 4 dimensional Universe there are only 3 basic topological shapes:

          – The hyperbolic center of information (and all brains and informative particles/heads have a hyperbolic form, placed in the center of maximal communication, or on top of the system, where most information can be perceived)

         – The external membrane of energy (lineal, planar or spherical surface that covers the system and protects it)

          – The toroidal, cycles of exchange of energy and information taken place in the body/field of the system.


In the graph, we can see that topologically, all systems from urchins to electromagnetic fields, black holes, atoms, tomatoes, planets or cells, have 3 components, which correspond to those 3 topologies: the energy membrane, the hyperbolic ‘zero point’ of information and the toroidal body.

This is the ternary structure of reality with heads and bodies and limbs. Now we go a ‘notch’ more in our search for more meaning and complexity, adding to the energy and information components, its ‘combination’. So from now on we shall talk of:

– Energy membranes and limbs and fields – all of them lineal, all of them engaged in pure motion.

– Reproductive, elliptic bodies, combination of lines and cycles, all of them dedicated to reproduce the components of the system.

– Informative heads/nuclei/particles, cyclical and spherical, all of them dedicated to gauge information.

And consider that there is a direct relationship between those 3 elements and the 3 ‘ages of existence’, as limbs/energy dominates youth, reproduction dominates the mature age of steady state or balance, E=I, and information the 3rd age, Max. I.

The 3 ±i hierarchical scales of  all systems made of  i-1 ‘cellular particles’ that become whole organic atoms, i, themselves parts of a higher i+1 social ‘fractal scale’ of the System.

All systems have a ±i structure across a cellular/particle, organic/atomic, social/molecular scale, in which each part is controlled by the bigger ‘physiological’, gravitational/nervous/informative and electromagnetic/blood/energetic networks that feed and inform the ‘particles/cells’ of the system.

In the graph, we could consider ourselves connected as a ‘whole’ i-system to our lower, i-1 scale of cells,∑i-1  and as a citizen, cell of society, to a higher, I+1 scale,God, nation or civilization:

We exist as we travel a world cycle zero sum through the topological, temporal scales of the fifth dimension.

Finally, we study the less easy to accept isomorphism of Nature, due to the anthropomorphism and ego-trips of mankind: the existence of a program of behavior in time and space that all entities of reality follow, constricted by the limits of ‘existence’ in a Universe with only:

                  – Two elementary arrows of time-change, energy or expansive, lineal motion and information, or implosive, cyclical time clocks, which shape the beats of reality, from your open and closing mouth, eyes, heart and lungs that process energy and information, to the longest big-bang/big crunch cycles of the Universe: E<->I

                 –  And two more complex arrows that combine them, reproduction (Exi), when energy specialized systems (males, electrons) and informative specialized ones (females, yins, quarks) fusion together giving birth to similar ones. And social evolution, when herds of cells become bodies or networks of neuronal informative units become a whole interconnected ‘brain’/’particle’: (∑E, or ∏I)

Those 4 isomorphisms derived from the 4 ‘terms’ of the Fractal Generator Equation , ∑Es<=>∏TI, of ‘space-time’ or ‘energy-information’ events,  thus suffice to account for almost all phenomena of all sciences of all systems of all scales of the Universe:

The minimal description of an species of space-time implies to define its 5 Dimensions of space that make up its organic structure in simultaneous, time, its sequential motions through its world cycle between generation and extinction as it travels through the 3 planes of co-existence, in its cellular/atomic, organic/thermodynamic and ecosystemic/cosmological scales; and the 5 actions of exchange of energy and information it performs in those relative scales. This description is what we call the 5гisomorphic method, as all systems of reality perform those 5  dimotions and actions. In a dynamic way the best ‘tale’ of the being is a sequential story of its existence from birth as a relative fractal point in a lower plane, through its palingenesis, clone reproduction, social evolution, emergence and a ternary physiological network of cells, who will then life a cycle through the 3 ages of life and death, in a larger ∆+1 world till its entropic extinction and desegregation into its cellular/atomic components. In the graph, the Human world cycle and the 5 actions in scalar space-time of different species of the Universe.

Changing our anthropomorphic chip and obsession for exact measure to ‘feel’ reality in its wholeness.

What make us think in different terms are the different jargons we use for each science, and the ego-trips of anthropomorphic, special nature we attribute to man. For example, physics talk of space-time systems and biology of energy-information systems, and sociology of middle, working class, and upper class, in control of the languages of social power (money and the law).

But all those dualities represent the same: a complementary system with a ‘body class of energy that reproduces and moves the system’ and a head that gauges and informs the system. So we talk of similar terms as ‘space or lineal distance’ can be seen as lineal motion or energy. Both are perceptions of similar phenomena, so we can see a car moving or a line of distance at slow motion. We can see the Earth quiet or in motion (Galileo). We can see galaxies moving away or space expanding (cosmology).  We can always see reality at slow motion as fixed distance or at fast motion as moving entities.

The happens with clocks of time, cycles with form and in-form-ation (static view of the entire cycle of form). Both are the same and so are information and time clocks that carry information in its frequency and form.

This is what we must seek for: similarities between systems. And to that aim we must transcend from the ‘more precise’ scientific concept of equality and measure, to the ‘less precise’, but more meaningful concepts of ‘similarity’ and function.

What this means is that in general systems sciences, the summit of the evolution of human thought in its search for a meaning to reality we shall use the most general sciences of logic and mathematics, upgrade our notions of those languages, and expand them to be able to treat with rigor the similarities of beings.

For example, we are more interested in the most generic discipline of geometry, topology, because it reduces all forms of the Universe to the aforementioned 3 ‘canonical’ shapes that correspond to all systems of energy, reproduction and information of the Universe.

And further on we observe a relationship between those 3 spatial topologies, 3 ages and 3 ‘scales of reality’, since we ’emerge’ in a prior -i, fetus age from the lower scale (birth) and then transcend during our mature, old age, into the i+1 social scale. And then when death reverses time, we return back to individual loneliness (3rd age) and biological, cellular death.

And again there is a parallelism between those 3 spatial morphologies, 3±i ages between -i birth and death, and the 3 scales of our organisms, and the 3+i arrows of feeding, reproducing, informing and socializing.

And so the image and meaning we obtain about the entire Universe when we have a Systemic organic dualist approach to it, is both simpler and more complex than present philosophies of science, of mechanist, phyisical, entropy-only nature. We have made more complex the meaning of time, with its infinite life-death cycles and ‘time reversals’ i death; we have made more complex space, with its organic, fractal scales; and yet by making spatial energy, or vital space and temporal information or time clocks infinite and self-similar in each species made of vital bodies of moving space and cyclical brains of temporal clocks of information, we have found principles and structures that unify all systems of nature in a pantheist, intelligent, living Universe.


ALL WHAT exists is a space-time super organism made of 3 topologies adjacent in simultaneous space, defined logically by a single fractal generator of those 3 only topological varieties, $p: lineal limbs/potentials/territoriesO-§ƒ: cyclical particles-heads-informative class, for all social, biological and physical systems, tracing a world cycle of 3 time ages symmetric to those 3 ∆º spatial ‘physiological/topological/social networks’ made of ∆-1 cells/citizens/matter particles,in which each of the physiological networks of the system dominates the super organism: the limbic motion/potential system dominates the first age; the re=productive body-wave systems the second age and in the third age of information the head/particle/informative people-caste dominates the physical/biological or social system, exhausting selfishly the energy of the vital body-wave, and provoking its explosion back into entropy that erases the system, completing its zero-sum world cycle, restarted if it has generated a clone super organism in its offspring, reason why the Universe is a reproductive fractal of information – only those systems that reproduce its information survive and are still with us.

The description of all those systems, extending across 3 relative dimensions of space, and 3 dimensions of time, past (our simpler forms), present (the 3 dimensions of space) and future (our social super-organism), starts by understanding a more complex type of space-time structure, one with multiple scales of fractal space, and 3 relative dimensions of ‘evolutionary time’, past, present and future…

For example, man is made of cells that process energy and information. They are gathered by specialized energetic, reproductive and informative (e, e=i, i) networks into multicellular organisms. Then each of us is part of a society in which it obtains energy through the economic system, information through the audiovisual and legal systems and reproduces with other cells/citizens of different sex. Thus we co-exist in 3 ‘scales of existence’, the biological, individual and social scales, and so we if we define each scale but an i-index of relative volume of information our existence happens in ±i scales, and this happens in all systems of the Universe that co-exist in an individual, cellular and social scale.

For example, an atom is made of i-1 particles and normally forms part of an i+1 molecule.

A cell is made of i-1 molecules and normally forms part of a social herd of bacteria or a i+1 organism.

So we talk of networks of energy, ∑, and networks of information, ∏, as the 4 ‘arrow’ of behavior’ of the Universe, ‘eusocial evolution’, that puts together body cells, ∑E and neuronal cells, ∏i, reason why we use a more complex definition of any system, when we add the ‘fractal scalar nature’ of systems: ∑E<=>∏I.

We  include in the previous formalism two fundamental equations that express all those isomorphisms:

One is E<=>I, that relates the 2 elements or motions of all systems.

But if we add the hierarchical scales of parts and wholes, we obtain ∑Ei-1<=>∏Ii.

In this more complex equation we introduce the ‘5th dimension’ of ±i scales, which organize all systems.

As heads of information direct fields/bodies of energy, and become its ‘wholes’ that perceive the entire structure of the system, we use the symbol ∏ of network for the whole ‘brain/particle’ interconnected system, and give it a higher informative index, i than the herd of body/field cells/waves, ∑Ei-1, loosely integrated as a sum, ∑.

And state the ‘metrics’ or fundamental equation of the 5th dimension:

 Ei-1 x Ti = K,   meaning that the product of the size of a system in space and the speed of its time clocks remains invariable.

As such we are all, physical and biological systems, also 5-dimensional beings. People caught in a 3 dimensional, fractal sheet of space-time, of a certain dimension in space and with certain speed of time, to process information. For example, man is a species on the 1 meter range and the 1 second range of thought/eye glimpse/beat of the heart, or speed of processing information. But we are connected to  a smaller scale, the biological scale and to a bigger, more complex one, the social scale.

The reader should notice that body networks, ∑, are less integrated, are sums of adjacent cells which mostly relate to its neighbors, herds with little social organization, while informative neurons are true networks, in which each neuron connects with all other informative elements of the group, hence we use a multiplicative symbol. And this is the key of the power of informative particles/genes/neurons/upper classes over the less organized energetic fields/bodies/working classes of any social super-organism.

If the first and second type of analysis of the Fractal Generator of all systems, E<=>I, gives birth to duality, the science I chaired in the International Congresses of Systems Sciences, this 3rd type of analysis of General Systems Sciences, gives birth to the subdisciplines of Hierarchy and the fractal analysis of space and the Universe at large.  And both together allow us to define the ‘Universe’:

The Universe is a fractal  of complementary systems of energy and information structured across 3 scales of size, in which all its parts are also complementary systems, made to the image and likeness of the whole: ∑Ei-1<=>∏Ii

Whereas the ‘whole’ is represented by the informative network that controls and absorbs energy from the body herd, becoming itself a ‘first unit’ of the next super-organism. So your brain feeds on your body and it is the unit of your higher society.

In this blog we shall develop and translate all the laws and sciences of humanity to the common structures of General Systems, unifying them all departing from the fundamental event in space and time, the ‘Fractal Generator of the Universe’, ∑E<=>∏I

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