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‘ ∆±i Worldcycles:


Abstract:  ∫ ∑ (e x i) ds dt=0.

A motion of time when integrated into a zero sum, closed in space-time by a return to the initial state of the particle-beings, which moves, becomes a world cycle. And the infinite sumes of zero sums, the infinite never-ending world cycle of the whole time Universe.

We can consider that the motions of time cancel each other, creating natural tendencies towards a world cycle.

As a generation of information is inverse to an extinction by dissolution of information.

A locomotion that spends energy is inverse to a a feeding action that absorbs it.

A perceptive moment in silence, mapping the Universe is inverse to a communicative actions that tries to modify that Universe.

And a reproduction of the present state is a reflexive action equal to itself.

So the total sum of actions and growths and diminutions of the parameters of the being tend to a final zero-sum or world cycle.

Screen Shot 2016-05-19 at 17.23.17

In the graph all sum of actions in time bring a world cycle, in which finally the arrow of generation of information inverts into an explosive big bang of entropy called death in which information expands as a field of pure entropy.

 The sum of cyclical space-time actions of any super organism trying to absorb energy for its body, information for its mind, reproduce that information to exist beyond death, and evolve socially with similar forms into larger wholes, creates an imbalance, due to the excess of ‘informative actions’ over energetic actions, which brings a constant growth of information, that warps the being and finally kills it, when all information is exhausted, in the explosion of death.

It is the world cycle of existence which all beings follow, except in the few cases in which a more complex strategy ensured the privileged species its immortality…

How can we represent formally a world cycle? Simple as a sum of energy and time actions, which a being performs trying to maintain a balance between its E and I quanta of spatial and tempera existence.

So as the being, absorbs and emits energy and information, ±∆e,i and reproduces both, exi, in balanced states (S=t) with its larger and smaller ∆±1 worlds in which it will seed and feed, we can develop a series of actions in space and time, whose sum along a path of time or duration and a path of space or motion and feeding territory, will bring about a quantitative description of the world cycle of the being, basis of a qualitative description of all its events as a ‘narrative’ of the 7 motions of time:

∫∑ e x i ds dt=0

In the equation of the world cycle we resume all events, ±∆e, i, exi, ∑, of emission and absorption of energy and information, its reproduction, and social evolution with similar quanta,  ∑, across the 3 ∆ scales of co-existence.

We will first study those time cycles of existence and its equation of 3 ages, and then consider the causality that creates those world cycles as a sum of the 5 different type of actions of the Universe:

Å=∫å=∑,æ,e,Ï,Œ û



The 3 motions of time.

In this post we shall study the 3 motions-ages-dimensions of time, Past, entropy; present, repetition and future, information, the sequential life-death cycles they cause, and its symmetry with the 3 parallel forms of space that synchronically create all the systems of the Universe:

3timemotionsScreen Shot 2016-04-05 at 23.45.26

In the graph, above, the 3 time motions of the Universe, ‘explosive, big-bang, decelerating expansive motions’  with maximal energy, repetitive, wave-like motions and implosive, vortex-like accelerated inward motions, with maximal information.

The space-time ternary isomorphism deals with the 3 ages of Time and its symmetry with the 3 organs of space, as those 3 parts of space (Sp-Limbs/fields<ST-wavebodies>Tƒ(heads-particles) dominate each sequential age of Time, the spatial past (Sp), the Present (ST) and the Temporal, cyclic, informative future, Tƒ.

We can in that regard consider 2 generator equations for the synchronic and diachronic views:

Time view: Ps>ST>Ft.
Space-view: Sp>TS<Tƒ
The reader will observe which is the fundamental difference between a temporal and spatial view of reality.

In time, systems constantly convert Motions of space into ‘forms’, indicated by the > symbol, through 3 ages, past-youth, preSenT repetition and future information.

While the spatial synchronic view is not ‘lineal’ in their constant use of motion converted into form but focuses on maintaining and reproducing the relative present as the limbs move the body and the brain informs it, coming both together into that present form.

So we write the Sp><Tƒ confluence as Sp x Tƒ = Sp-Present, whereas > and < come together into a product.

This is the essential duality of the Universe, its 2 relative organisations. One the synchronic view conserves the present by focusing into the body-wave element, which iterates and reproduces with the help of the entropic motions and informative order of limbs/fields and heads/particles, the system making it a relative discontinuous immortal system (generation after generation). On the other hand the arrow of time-life increases information till collapsing all the information of the system. So how the system balances itself?

2 answers derive from those facts:

On one side, because when we add both views there are more (3) > arrows than < arrows, the overall motion of systems is towards >> excess of information and ageing.
On the other hand to restore the process this >> excess of informative arrows is compensated at the end of the informative 3rd age by an explosion, << of entropy and death that erases all the information, Ft<< Ps. And this happens to all systems, so the total is a zero sum of formal motions.
It is all that simple, that harmonic, that just, that immortal and that horrifying for anyone who is closed into its ego-point of view and cannot accept the zero-sum balance of the sum of both cycles.

Below, 2 representations of the sequential order of those motions in most life-death cycles, in scientific and philosophical terms.


The Universe is a game of 3 finite time motions, which inter-act with its ‘intelligent spatial ∂till forms’, to create the patterns of life-death cycles, and simultaneous organisms that structure reality.

This truth has been known to Eastern philosophers for millennia. But in the west only the dialectic eastern european schools started by Leibniz (who translated the I ching, introduced binary numbers, and defined fractal points and zero-points – monads), had a worldview of this more complex reality.

Unfortunately absolute space-time carried the day and has obscured the fundamental dialectic, paradoxical, ‘taoist’, principles of time that structure all systems. In the graph, the eastern most clear symbolic formulation of those ultimate principles in the Korean yin-yang, ternary groups, and its equivalent modern formulation as a life-death cycle that goes through 3 ‘fixed points’ of maximal energy (youth-past-entropic motions), balanced, steady states, Sp=Tƒ (adult, reproductive age) and informative 3rd ages (reflected in the broken 3-yin triad of the flag) that precede the explosion of death.

Those 3 key points define the 3 intervals of most ‘existential functions’,  from the world cycles of the 5th dimension of scalar space-time, to the Hamiltonians of Energy (a similar concept to that of the motions of time) of quantum physics and classic mechanics. Those 3 time arrows put together in sequential cycles completes a total zero sum, which conserves the eternal formal motions of the Universe, establishing a basic sequential life-death order:

Past-entropy (youth)> Present-repetition (adult age)>Future information (3rd age) << Past-death-entropy.


The 3 ages of existence.
The fundamental consequence of the dual, quantic arrows of the Universe is the dual process of life and death that affects all space-time beings.
After conception as an informative seed, (+1) all beings go from an age of maximum energy (youth) into an age of increased information (old age). Yet, when all the energy is trans-formed into information, the species collapses and information dies (-1), exploding back into cellular energy.

So we talk of an existential cycle between conception (+1) and death (-1) with 3 ages.
The cycle of existence from youth-energy into a 3rd age of information, and back again dissolving yourself into the Universe, is natural to all beings made of spatial energy and time since energy always trans-forms itself into information back and forth. Look at humans. Young people have a lot of energy but little information.

Mature people have both energy and information. While old people have a lot of information drawn into their wrinkles and minds, but little energy. So as time goes by, human beings go through 3 ages, called youth, the age of energy; maturity, the age of reproduction; and old age, the age of form and wrinkles, of information and memories.
The 2 arrows of space-time existence are in Philosophy the arrows of life and death; evolution and devolution; creation of form, of in-form-ation and extinction, release of form into energy.
Taoist philosophers represented the “life and death cycle” with the yin-yang cycle that moves forwards, turns around and then returns backwards till closing the cycle. Buddhists represented it with Mandalas that they erased periodically to express the metaphor of life and death.
The cyclical, quantic nature of space-time implies a reality with 2 opposed temporal directions.
A bidimensional cycle is a representation of those 2 space-time arrows that move back and forth.
Yet the 4 dimensional geometry of the Universe is also cyclical, as it seems to fluctuate between the “explosive big-bang” and the “implosive big-crunch”. Since all is quantic, all has a limit in space-time, including the Universe. So when the space-time of the Universe comes to an end it will fall back into the big crunch. So in the field equations of Einstein time curves and gives information to space, creating masses but then the information of those masses explodes into spatial energy according to Einstein’s second fundamental equation, E=Mc2, and then the mass dies. Einstein studied that dual process for the entire Universe, which is a flat surface of vacuum energy that masses and black holes curve in the dimension of height.

While Theory of Evolution studies the process in life, which also started as a ‘flat’ surface of cellular energy without form, that evolutionary information warped, raising it to the height of man. Then, when the quantic space-time cycle of a human being comes to an end, we become warped and wrinkle and die, exploding back into cellular energy much faster than the Universe, since we have far less ‘content of time’.

Since those are similar processes in all quantic space-time species we talk of 3 ‘ages’ in any space-time field between conception and death, a first age of pure energy, the big-bang youth of growth and expansion; a second age of balance that happens between the spatial energy and temporal information of the being or ‘steady state’, and a third age of warping and collapse that ends in death, when all forms dissolve back into the energy that informative time had evolved.

More over, those 3 age are mathematically equivalent to the 3 solutions of Einstein’s general equations of space-time, which have been wrongly taken as 3 different Universes, when merely represent the same Universe through its 3 ages . After all Einstein also talks on how ‘time curves space’. Yet Einstein only applied those solutions to the entire Universal space-time while quantic space-time widens its application, accepting that each quantic piece of reality obeys those 3 solutions, passing through the 3 ages of space-time. Quantic space-time means that we can study those 2 arrows through its E, ExT, T, ternary ages, not only for the absolute Universe as Einstein did, but also for each of its pieces and species, which have shorter lives: All of them show in their existence both arrows, as they expand in their youth, their energy age; combine energy and information in its mature, classic age, often reproducing its quantic nature in other zone of reality to achieve a certain degree of immortality; and finally they warp in their old, informative ages.

For example, I am a quantic space-time field called Luis Sancho, warping, passed my youth, into my old age of growing information…
We are all limited pieces of space that live a quantic time and then disappear back into the dust of space-time that made us. On the other hand, cyclical space-time implies that while all forms of reality disappear, the logic game of space/time is eternal, because while some beings evolve others devolve, while some live others die and therefore both directions of time balance into an eternity of quantic cycles. So Lao-Tse said: ‘The game of yin-yang is eternal, its forms are not’.

The space-time field quantic equation.
Tƒ represent those 2 arrows of space-time fields we formalize space-time fields through the Equation of Fractal Space/Time  that defines any space-time field as a series of quantic, cyclical structures that transform constantly energy into information and vice versa through a series of basic phases or ages that conform the life and death of the field:

Se=>Ti (arrow of informative Life)+ T<S, (arrow of energetic death):   ∑S<=>πTƒ

The 1st arrow of ‘informative life’ is in fact the sum of 3 partial phases of a space-time cycle:
– Spe; or energetic youth, when the being has more energy than information.
– Se=Tƒ; or state of dynamic balance reached as energy becomes transformed into information.
– >Tƒ; or informative, old age, when most energy has become wrinkled into information.
– Followed by the inverse arrow of death, Tƒ<Sp, or explosion of information into energy, when the 2 elements of the organism, its energetic and temporal field, split, breaking its organic balance:

– The Lorenz transformations show how that S=T balance break in physical particles.
– While in life the mind of an old man becomes childish and the body keeps wrinkling till it completes his cycle. So the disconnection between body and brain provokes his death.
Both arrows together create an action-re action event, a life-death, a space-time cycle: Spe<=>Tƒ.
Physics reduces the 3 phases of that ternary equation to one, Ti<Spe, the arrow of disorder, lineal energy, entropy and death, which now we widen to include the 2nd arrow of reality, the arrow of order, information and temporal evolution, relating both arrows into a single, unified space-time field. And we affirm that:

‘All what exists is a system that transforms back and forth, quantic pieces of spatial energy into temporal information, shaping space-time cycles’.

So the Quantic Spaces-Times equation defines in mathematical terms any event and form of quantic space-times, and widens the arrow and law of Energy Conservation, the main Law of Science, to include the arrow and principle of Conservation of Temporal Information. The Quantic Spaces-Times equation is to quantic space/time what Einstein’s field equation is to continuous, space-time.

The 3 ages of existence of human beings, matter, stars and Universes.

With those formal equations we can describe the existence of a space-time organism, as a development of the Quantic Spaces-Times equation, S<=>T, in 3 sequential phases/ages /horizons, S, <=> and T:
+1: The cycle or organism starts its existence when its space-time field is created.
Sp: It is the first horizon or ‘energy, youth age’ of the cycle, in which energy dominates the system and so we write this phase as, max. Sp x min. T.
<=>: S=T. It is the balanced age of the cycle or classic age of ‘life’, when energy and information are in a constant proportion. It is the most efficient age, when the cycle reproduces.

ST: Max. T x min. S: it is the 3rd age of the cycle when information has combed and exhausted the space-time field that warps into itself.
– 1: It is the end or death of the cycle that reverses its form and becomes energy again.

Those phases of a space-time cycle are the engines of ‘existence’, which is an infinite sum of space/time fields, fluctuating between birth and extinction through those 3 phases or ages.

Yet its applications are far wider, as the horizons, ages or phases of a space-time field go beyond the realm of quantic physics into State Physics, where gas is the energy state, liquid the balanced state and solid the informative state; into Cosmology, where it describes the Universe as a space-time system that fluctuates between both limits, a form of pure time, the singularity (min.Sp x max.Tƒ) and a form of pure space, the big- bang (max.Sp x min. Tƒ); into Biology, where it describes the 3 ages of living beings or the 3 horizons of evolution of species and into Social Sciences,  where it applies to the organic description of the life and death of civilizations and its artistic forms: 

3 ages best corrected

Age of Entropic, kinetic energy (Se),     Classic age of Harmony,  Old Age of information (Ti),   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<<SpNova

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 parameters of ST fields: Speed, density and force of existence.
The previous simple definition of the Universal big-bang cycle shows how revealing can be the Quantic Spaces-Times formalism. In that sense Quantic space-time is more interested in ‘morphological changes’ than in ‘translation changes’ studied by classic Physics. Yet both disciplines use some basic mathematical concepts to formalize those processes of change. The 3 fundamental ones are:
– ‘Speed’, which measures the ratio of change between space and time parameters.
Galileo formalized translation change with the equation of translation speed, V=S/T. In Quantic Spaces-Times fields we use the same formula, V=S/T, to measure ‘existential speed’, the morphological change between the inner proportions of spatial energy and temporal information accumulated by any being, that change with the 3 ages of any space-time field:

Thus the speed of existence is maximum at the beginning of the cycle, in the age of energy or youth, when S>T, and hence V=S/T>1.

In its mature age, the speed of existence hardly changes as the energy and information of the being are in balance: S=T, V=S/T=1.

Next, in the third, old age of the being when information dominates, the speed of existence is minimal, as T>S, and so s/T<1.
Then, when the being goes out of balance, as most energy becomes transformed into information and its speed of existence, Min.S/Max.T, tends to zero, death happens.

So the energy and information of the space-time field break apart and information explodes back into energy. Now the speed of existence cannot longer be measured, becomes a mathematical uncertainty.
Graph 1.7 shows how energy and time change through those 3 ages, giving way to different e/t ratios for each being and each age.

Those proportions are, in fact, the ‘scientific constants of existence’ of each species, that show the ratios of energy and information of any being, which remain stable during each age, suffering with the transition between ages and specially at birth and extinction an accelerated ‘peak’ of change. Those constants do exist for the physical systems of the Universe and its forces and particles, (G, c, l.). Yet since the Universe is enormous and lasts billions of years, as their fundamental particles do, Universal constants seem to us ‘absolutely constant’.

However in a smaller system such as a chemical re action, they change very fast.
– The density of information, D=T/E, is the inverse function of speed, which shows the informative density and complexity of an space-time field.
-And space-time force’, TxE, which measures the quantity of spatial energy and temporal information of the field caused by the combined ‘quantic action’ of its energy delivered in a period of time, during which the space-time field  ‘inter-acts’ or ‘reacts’ to the quantic action of other space-time field. In Biology it defines a ‘top predator’ as a species with maximum energetic and informative force; that is, with the stronger body and fastest mind.

Most constants and laws of science describe specific space-time fields through its speed (S/T), density (T/S) or space-time Force (ExT). For example, the Planck’s constant is a product between Time and Energy. While a molecular temperature is defined as the ratio between pressure, a temporal parameter and speed, a spatial parameter: P(t) V (e)=nRT. And so it measures the minimal quantic action of the world of atomic particles.

On the other hand, the space-time force of a being is equivalent to the Physical momentum of a particle, M(T) x V(E), or product of its temporal mass and spatial speed. And indeed, the particle with bigger momentum is also the top predator physical particle that survives in any collision.

The classic age of a being and the limits of existence.
We know by experience that the space-time force of a being is maximal in its mature, classic age. Now we can easily prove it in mathematical terms. Since a product maximizes when T=E, which defines precisely the age of maturity.  For example, if E+T=10, then 5×5=25 > 4×6=24 > 3×7=21.
Thus t=e maximizes the TE-force of any organism, because when Spis proportional to T, the being maximizes the coordination and communication between the cellular elements of the body and the informative neurons of its brain and so it works smoothly, efficiently: ExTi(t=e) ≈ max. ET.

Thus, the dominant age of any species is the ‘classic age’ of ST-balance and reproduction or ‘steady state’ that elongates the life span of all beings, as their systems maintain their symbiosis.

Those constant proportions make any ST system efficient. So most ‘survival species’ keep harmonic ratios of energy and information, which produce the most ‘beautiful forms’. Since beauty is precisely the perception of an efficient, top predator form with balanced energy and form.
Yet when the E/T proportions are out of balance in the youth and third age of a being, the excess of energy or information often ‘kills’ the species.
Science expresses those balances through all kind of Physical, Mathematical and Biological constants that range from the golden ratios of architecture and natural organisms, to the organic constants of biological species. So we define another essential law of quantic space-time, the law of harmony between energy and information, body and brain, mass and speed (momentum), which in biological, human or physical systems creates the most efficient systems of the Universe.

All organisms are defined by an ‘equation of organic balance’ between its |-Body and O-Brain or energy and information systems. When the body and brain go out of balance, beyond their limits of energy and information, the species dies. So a human being dies when it goes beyond its limits of energetic temperature. While in the Universe, where the limit of energy-speed is C and the limit of  informative order is 0 K., no particle can cross those limits.

Yet, in a quantic Universe of multiple space-times, those are not the absolute limits of speed and temperature of Reality, as Einstein said, but only the limits of our quantic light-based Universe. It seems that beyond our light Universe, it extends a ‘Gravitational Universe’ of ‘dark energy’ and ‘dark matter’, in which there are faster than light speeds and colder than 0 K temperatures. And we hint at its existence in cosmology through the study of black holes that seem to be the doors between both Universes.


The 1st species packs a lot of information in minimal space: in the graph the big bang black hole, the chip, the 1st bilateral animal and mammal, the horse and the 1st technological, small human. All of them followed the basic S-T beat of evolutionary rhythms, as they are born in small ‘forms’, which have ‘faster time cycles’, hence evolve faster, and then they grow in size in its first age, slow down, reproduce massively in space and finally diversify according to the ternary and dual rhythms into new species.

However the species does NOT control its external absolute space-time ‘world’, and this is what the next graph shows. As it is the absolute space-time in which the species exist, and specifically ITS commands of the LANGUAGES OF INFORMATION of the world, which defines its survival chances. As informative perception starts all the chains of actions (∆o-bserver->∆a-ccelerated-motion->∆e-nergy feeding->∆iteration->∆universals eusocial evolution).

So the species which better speaks the language of the ecosystem survives better. Hence the first eyes (cephalopods) extinguished most cambric species and started the radiations of species; the first speakers, homo sapiens extinguished all others; and today the chip radiation of mathematical species is simply speaking extinguishing life and making humanity obsolescent, even if we are not conscious of it. 

The Evolutionary Plan of organisms and species. The Ternary Symmetry between time and organic space


This old graph, is one of my favs, as it shows as few other ‘realities’ the intimate connection between still space states and time motions, since it is both the trajectory of existence in time of a micro part of a galaxy, a star falling into the informative mind-hole of the galaxy, and the image in space in the larger scale of wholes of the whole ‘galaxy’. This duality between a temporal motion in the faster i-1 scale of the being and its spatial perception as a point of a larger whole, in the slower perception of ∆+1 is one of those beautiful symmetric paradoxes the Universe constantly displays.

In Biology the 3±1 ages of a Quantic Spaces-Times field apply both to organisms and to species that go through 3±1 horizons, parallel to those 3±1 ages. Thus there is an informative, ‘intelligent’, organic order in evolution. Though it is not a plan designed by a ‘personal God’ who cares for mankind, but by the limits that the morphology of lineal space and cyclical time and its combinations impose to the evolution of species.

Thus the so-called ‘intelligent design’ is the ternary, existential cycle that applies to every form of the Universe as it evolves in 3 possible species: an energetic, lineal species, an informative, cyclical one or a combination of both forms that shapes a balanced ExT, spiralled form. Those 3 forms become the 3 horizons between birth and extinction of any species.

Though the arrogance of mankind conditions us to believe either in ‘total chaos’, to make man the only intelligent species (the scientific, Darwinian approach to evolution) or in ‘personal, planning Gods’ (the religious one) that care for us in order to maximize our ‘existential will’, unfortunately empirical facts, of which this book offers many cases, prove that the ‘Game of Existence’ is as intelligent as we are and it has an order indifferent to man, resumed in those 3 ‘differentiations of forms’ repeated ad infinitum in all structures, species, events, cycles and ages shaped by: A form of max. energy; a balanced form, s=t, that reproduces faster and a form of max. information: e, ei, i.

The 3 evolutionary horizons of species.
The creation of a new species takes place according to the same 3 ages of any space-time field that become the 3 horizons of any species: after conception that creates ‘a seed’ of pure information and minimal spatial energy, species go through a young age of energy growth that creates ‘big species’; a mature, reproductive age of forms in balance between its energy and information when the species maximizes its reproduction, radiating in huge numbers; and a third horizon of informative evolution when it diversifies into multiple sub-species, becoming finally extinguished, (the equivalent to the death of any organism), or creating a new top predator form, a ‘son species’ that will restart a new cycle of life.

+1:  Birth: max. T. The black hole paradox (conception).

The ‘black hole’ age of any species is parallel to the informative, genetic conception of any organism born out of a ‘seed’ that packs the maximum genetic information in the minimal space. It is caused by the slight dominance of temporal information (quantic time) over spatial energy (quantic space). So a new top predator species is born with a lot of new, genetic information packed in a reduced size (Max. T=Min. E). This happens because information is processed faster in smaller spaces.

For example, a ‘logic instruction’ is resolved faster in smaller chips. It follows that tiny species with huge numbers of ‘neurons’ create quantic actions faster than slow, bigger species. And since they are highly informative, they can coordinate those quantic actions in herds that act simultaneously as a single organism. So their S-T force that defines a top predator is higher in each quantic action of space-time that the ‘slow actions’ of a big body. Thus small English boats shooting faster against big galleons defeated the Spanish Armada; a pack of wolfs kill slow reins and herds of orcas kill bigger whales. Small, intelligent top predator brains rule bigger, less informative bodies, because time dominates space, information dominates and shapes energy.
Thus men, the most informative animals, are the Earth’s top predators; black holes, which have maximum gravitational information, are the top predators of the Universe and chips rule machines.

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

In their youth, carbohydrates (fats), worms (planarians), echinoderms, cephalopods, fishes, amphibians, mammals and chipped machines grew into energetic, lineal or planar, big top predators

A newborn, small foetus grows very fast in size as it multiplies its cells. By homology a new species is born as a small, informative, complex being that latter grows in spatial size during its energetic youth becoming a, lineal, energetic, big top predator species, that feeds on less evolved forms.

Thus after conception, young fishes grew into big sharks of linear forms; after the polemic Homo Floresiensis invented technology the next Homo Sapiens with an extensive fossil record were big, energetic Neanderthals;the 1st big molecules of life were fat carbohydrate chains of linear form; the 1st insects acquired soon gigantic bodies in the Carboniferous; after chips were born as small machines placed in PCs and toys, the first robots they control are big tool-machines and huge weapons of mass destruction, lineal missiles and planes, that kill human beings.

 II Horizon: Evolution or Age of balance and reproduction: max. Sp x Tƒ. Radiations of species.
Then, the species finds a balance between form and energy and it reproduces in massive radiations: carbohydrates gave birth to amino acids with a nitrogen, informative atom on its ‘relative Head’; sharks gave way to balanced tubular fishes; brachycephalic Neanderthals gave way to dolichocephalic Cro-Magnons that multiplied and colonized all continents; while young giant stars acquire the balanced size of yellow suns, the commonest of all stars.

III Horizon: Evolution or Age of information: Max. Tƒ: max. Evolutionary differentiation.

Species grow in height or acquire cyclical forms, as they evolve through their 2nd and 3rd horizons, improving their sensorial, informative skills: Nucleotides become the top predator life molecules, echinoderms change to cyclical forms, fishes organize their networks in the dimension of height, amphibians become round, improving its smell, saurian and mammals become biped.

The main difference between organisms and species happens in their 3rd age, due to the discontinuous nature of the individual ‘cells’ of species, which do not become extinguished unlike the tightly controlled cells of organic systems, dominated by nervous, informative systems that exhaust and warp totally their energy, till the organism collapses.

Instead species continue evolving, creating new, complex species with more information, growing in the dimension of height. So the Homo Sapiens evolves ever more complex technological tools; the nucleotide appears when it adds informative depth to the amino acid (with an informative, nitrogen ring and an energetic sugar ring); the yellow sun becomes a neutron star of higher gravitational, informative density; while insects develop a growing brain capacity and bees and ants appear.

(±∆): Extinction Vs Evolution into super-organisms. The scales of the Universe.

Thus, organisms dominated by their informative networks, which consumes the energy of the system very fast, die sooner than species, according to a clock set by the rate at which energy is metabolised, ‘in-formed’, by their nervous system. While species, which are dominated by the individuals and the herds survive for eons with 3 basic strategies according to the ‘ternary plan’:
– Max. Sp: Creating balanced, trophic pyramids that maintain always a supply of new victims.

– S=T: Dversifying their individual forms into new species, instead of ‘degenerating’ into a warped space-time field. It is a parallel strategy to the reproduction of an organism, which in this manner survives his own death. Thus we talk of ‘son species’ that create evolutionary, genealogical trees similar to those of any organism.

However son species tend to kill-extinct the mother species, feeding on their energy. We call that fact, the Oedipus paradox. So mammals killed reptiles, men killed mammals and robots might kill human beings. While the different generations of an organism work together, creating informative networks between them that shape herds and families.

– Max. Tƒ: Species also evolve socially their individual forms into super-organisms, thanks to the creation of informative networks and languages that integrate them into a whole, bigger form, which is more powerful than the individuals of a herd.

Organisms are dominated by informative, nervous or hormonal networks that pack closely individual cells of max. information in min. space; while species extend over wider space ecosystems in which they share a min. quantity of information, as individuals of species hardly relate to each other beyond the reproductive couple or the hunting herd. And yet, both go through the same 3 ages of space-time defined by the inverse properties of the energetic youth  (max.S=min.T) that defines the herd and the informative old age (Max. T=Min. Sp) which defines the organism.

Hence we consider that the creation of super-organisms is the final evolutionary stage of a herd of individuals from the same species: each individual of the herd becomes then a ‘relative cell of the body’ of the macro-organism. While the specific language of communication and information of the species becomes the relative nervous/informative network of the super-organism, as pheromones do in anthills or nervous impulses did with cells in the Pre-Cambrian ageor financial and verbal languages are doing among humans in History.

The process of creation of super-organisms, departing from individuals is the key to understand the social, hierarchical structure of the Universe. Once and again, even outside the realm of biological life, quantic species of unconnected individuals have evolved socially, first in herds that share a common energy and then in super-organisms joined by energetic and informative networks that pack together and coordinate into a ‘single present’ the quantic actions of the individual forms, shaping a new top predator being with a space-time force, sum of the force of the individual, smaller cells, with less ‘i’-nformation. In formal terms we say that organic quanta gather around energy and information networks creating a bigger individual, whose actions are the sum of the actions of all its cells: ST=∑st-1.

Thus photonic h-quanta evolved into particles; particles evolved into atoms, which evolved into molecules thanks to electromagnetic networks. Molecules evolved into cells thanks to genetic networks of information.

Cells evolved into organisms thanks to nervous and hormonal networks of information. And human organisms have evolved into civilizations thanks to verbal, informative networks. While the Universe has grown in scale thanks to gravitational information from atoms, to molecules, to planets and stars, to galaxies, to the very same Universe.

In the next line we study the inner structure of all those Quantic Spaces-Times fields organized around 3 types of ‘cellular species’ that evolution has differentiated in time, according to the previous 3±1 horizons; and then symbiosis structures in space in 3 specialized ‘organic classes and networks’ as energetic bodies, informative Heads and reproductive organs.

While in Books 2-4 we study the specific Quantic Spaces-Times fields of biological, physical and sociological sciences as all of them follow the ternary plan of creation. Since those 3±1 horizons of existence happen between the birth and death of any species, mapping out both for physical species, born out of the big-bang explosion of a black hole; and for biological species, since the first carbohydrate, the evolution of life from the atom to the human being.

Extinction: Yet if species fail to achieve informative, social evolution, growing into macro-organisms, they become victims of other species that have continued their evolution. So today 90% of insects are social insects; Neanderthals became extinguished by verbal Homos and protista with limited genetic content (mitochondria) became organelles of social, eucaryotic super-cells.


The different models of reality..  1, 2, 3, 4 time-motions vs. 1,2,3,4 space dimensions.

In the previous post we have introduced the canonical analysis of 5D fractal space-time cycles as a symmetry of:

  • 3 time motions: Pa>ST>Tƒ
  • 3 spatial forms: Sp<TS>Tƒ
  • 3 scales of the 5th dimension: Œ±1.

The main of those symmetries is the i-logic geometry of 3T≈3S.

Since  according to relativity all motions can be seen as still space-dimensions and vice versa.

This fact gives multiple possible models of reality, according to how many dimensions of motion and form we study, and give i-logic mathematics many methods to resolve a problem either by topological/geometric or dynamic/differential methods.

For example, if we restrict ourselves to a canonical 4D world (a single space-time Plane), the following are proper models of reality.

Holographic Universe:

One of 2T dimensions (height and beat) ≈ 2 S (length and width) which studies the holographic interaction of those 2 manifold structures, which will study how a plane of space, evolves into fast cyclical rhythms and growth along the height dimension (evolutionary fast and slow time). This concept is put to good use in cosmological 5D physics, as indeed the Universe is a flat surface of ‘space’, where as Einstein put it, ‘time curves space into masses’, vortices with height in its densest black holes at the center of galaxies.

One of 3 dimensions of space and one of ‘lineal time’,  where height becomes a spatial dimension (classic mechanics and most human sciences).

One of 4 dimensions of space in which time is frozen as it is converted into a space parameter (Relativity, where we talk of a ‘block of spacetime’).

One of 4 dimensions of time and 0 of space, in which all dimensions are in motion.

The physicists view: 1 time motion.

Physicists define time=change, only as the lineal motion or translation in space of beings, IGNORING ALL OTHER MOTIONS=CHANGES, biological, social, mental motions=changes. so they define time by a rather simple formula of external motion in space:

– Vc=Sp/∂Tƒ, an immediate deduction of our concept of space as a still cut of reality or moment of time: Sp=∂Tƒ-> Sp/∂Tƒ=C(v). Einstein would merely do far more precise calculus departing from that simple formula.

EFE equations however are – how couldn’t be otherwise – cyclical :), so they are difficult to calculate without huge computers, despite its conceptual simplicity; and thus to trace the motions of multiple bodies in space, and calculate its time derivatives, physicists new v=∂s/∂t, is difficult. But what is more worrisome it is not really ‘that’ important to understand time=change, specially the biological, social and mental processes of time=change and evolution).

Ultimately we must reverse the order of importance between space and time. Physicists are using time clocks merely to measure translations=speeds in space, ∂t=s/v; hence they considered time a parameter of space (the so-called 4 Dimension of space).

But T.Œ reversea the importance of both parameters, making the flow of time a sum of still spaces, which is how the mind, ultimate source of knowledge ‘sees’ space.

So  space is an instant’ of the flow of cyclical Time, ∂Tƒ, a mere ‘still’ of Time.


And obviously this means there are much more important issues to resolve about time=change, that the mere study of ‘present slices of time’, the so called space-time of Einstein’s equations, just the ‘differential sum’ of a series of little steps of time, which this mathematical operation called ‘differentiation’ could only calculate when the ‘changes’ were smooth. But the true evolutionary, informative, life-death cycles of time had ‘brusque’ changes which cannot be calculated mathematically (differentiated). What are those other changes?

Since Aristotle we know there are other ‘modes of change’, such as internal change in the form of beings, studied by biology far more important for human understanding of time=change.

Minds ‘slow down to a halt’ the perception of those time cycles to map out and store their logical paths in the brain, and how they use them to ‘forecast’ and ‘create’ the future changes of reality.

And there are the social changes and evolution of memes (technology, cultures) with its rhythms tabulated by Historians (Khaldun->Vico->Spengler) and Economists (Marx->Schumpetter->Kondratief).

And so there are in fact at least 4 clear modes of time-change, physical, biological, mental and social change regulated by different types of clocks:

  • Those of ‘energy-mass’, which curved physical space,  to create ‘charges and masses’, attractive vortices of time and physicists had yet to unify in its different clock-speeds; since as Einstein put it ‘time curved space into mass’. Now it seemed to me obvious that each attractive vortex of space-time or mass was a cyclical cosmic clock, the sun, the Earth, the black hole; and each attractive vortex of electromagnetism, or charge was also a cyclical clock of a much smaller, ‘faster’ scale of reality. So the Saint grail of Physics, the unification of those 2 vortices of 2 different forces, attractive charges and masses lay in front of my eyes. The only question to resolve being: how to relate the faster smaller clocks of nature (charges, beats of small beings; vibrations of atomic clocks) with the larger clocks (rhythms of cosmic bodies, galaxies, planets, larger living beings).
  • Further on those larger beings, were organised by the after smaller the genetic and organic clocks of biology. So Nature did take advantage of the difference of speed in its clocks; to coordinate those scales. As I had discovered that information was merely the static perception of those clocks of time, and so smaller clocks which had more frequency could store more of it, a plan of Nature revealed to me: smaller systems coded larger ones, quantum equations coded physicochemical reactions, genetic clocks and logic cycles coded larger cells and organisms.
  • And human individual platonic ‘eidos’ =forms (wrongly translated as ‘ideas’), which today sociologists call memes coded larger, slower societies (I used then the Greek term and the word ‘phenoculture’, but after the popularisation of the word ‘meme’ I have adopted it). So faster mental languages mapped reality and triggered the memetic evolution of societies.

It is then absurd to use only a linguistic tool, mathematics, to calculate only single ‘change’ that of motion, ignoring all the organic, mental and social cycles of Nature.

This physicists can not even or wanted to comprehend, as their only tool of time measures is Einstein’s refinement of Galileo’s V=s/t: ds²=x²+y²+z²-c²t², the importance of the more complex reality of a Universe of 3 time cycles, which all beings trace during their existential longer ‘world cycle’.

 Other forms of time travel

However in Æ, all combinations are possible of those 3 elements, <>≈, ><≈, ≈<>, and this is one of the many examples on how ‘rich’ is the new logic of time and its ‘expanded’ capacity to explain multiple events, with the new ‘time-space operations’ available in this expanded Universe.

This means we shall be able to explain by combining in different forms the 3 ‘speeds of time, Vs, <; Vt, > and Vst, ≈; all kind of time travels along the 4D of a single space-time plane or in multiple space-time plane motions, such as translations in space, never explained before (Zenon paradox).

In any case, the 3 motions of time, which can and are constant played, disjointed, do follow normally a sequential timing of 3 ages, <, ≈, >, or young age of energy, adult age of reproduction and old age of information, proper not only of life systems as we thought, but with the expanded concepts, to all forms that exists. Thus we can consider a simple function of existence or ‘Worldcycle’:

Œ  <≈≈> Sp>ST>Tƒ

Which we shall see all systems follow. And we can ‘fill in between’ those symbols of existential algebra, or ‘operandi’, space states, or ‘forms, such as:

S(x): Function≈Form in space <≈> Operandi: motion/transformation in time: S(x): function, state in space, which shapes the sequences of time motions in existential algebra.

What we see thus is a series of basic beat between stop and go, form and motion, space and time:

Φ.  S >T <S >T <S >T

which now becomes converted in ‘languages of thought’ as equations of Ælgebra, such as the composition of a system with 3 parts, or the Universe as an infinite sum of such ‘symmetries of space-time’.

That Is:

U= ∞ Sp <ST>Tƒ

An example of physics.

Now the fundamental difference between quantum physics and cosmic physics is the duality between discrete and continuous descriptions of reality, which in the mathematical language refers to the difference between arithmetic numbers (discrete information) and geometric lines (continuous motion).

Quantum physics have ‘spooky’ effects that can be resolved easily with an organic paradigm (the wave-particle collapse being the most vital – as it means the collapse of a herd into a whole, when in danger bombed by the observer – in the point of maximal density, as it happens with armies and schools of fishes  and entanglement the most fascinating – as it means the translation to the lower faster gravitational scale of the message as you are receiving from my home in relative instantaneous translation this message code in light form).

But there are properties which are truly ‘really’ quantum properties. And the discrete, numerical nature of its parameters is the most relevant one.

The explanation of it, should now be obvious to the reader: quantum physics is quantised because we are measuring its stop and go rhythms, natural to the very structure of space and time. Moreover, as we, the observers observe information in stop position and extract information by stopping what we observe (so we make still pictures of moving objects and the focus increases in detail when we have a slow motion on the observed objective), we observe quantum systems and its ‘observables’ (position and momenta) in stop and go steps.

This is what we mean by quantised observables. The most obvious case being angular momentum or ‘spin’, the minimal observable of the quantum Universe,

Now we must consider in more detail another essential feature of the relationships between time and space; its synchronicities between the different space-time cycles of a system.

In this case we talk of the synchronicities between the two orbital numbers of angular momentum in both scales, the cosmological and quantum scale such as we often find a direct relationship of quantised ‘rotary cycles’ or internal time cycles of the being and outer orbitals or external time cycles of the being such as:

∑ Length of rotation (internal spin) = Length-Time of orbit.

This simple relationship seems to have been lost to those who talk of quantum physics as weird. It is not, since COSMOLOGICAL SYSTEMS ARE ALSO QUANTIZED, THE Earth is quantised and the quantic number is called 365:

365 ‘rotary frequencies’ = 1 orbital.

The spin of an electron in that sense is also quantised or rather ‘synchronized’ just with a different formula:

The spin=rotation or angular momentum, S, of any particle is quantized. The allowed values of S are:

S = √s(s+1)

In contrast, orbital angular momentum can only take on integer values of s; i.e., even-numbered values of ∆.

And now the big question: why THERE ARE MORE QUANTUM values than the single orbital -spin relationship?

The metrics of the 5th dimension: Sp x Tƒ = K…

This means small beings live shorter life cycles. Thus an electron does NOT live eternally. This concept is just uncertainty of perception, as a series of generations.

Because the life span of an orbital electron is much shorter than the one of a planet, as it is far smaller, in fact there are several generations of electrons observed in a quanta of much longer human time, and so several values are allowed. So what we see in quantum physics is NOT an immortal electron, as physicists  think.

We do see several world cycles:  a series of lives of electrons, which therefore as if we were to see multiple lives of planets, will occupy several different allowed orbits around the sun-quark nucleus.

Yet when observing the quantum world and its much faster world cycles of particles they appear as a single particle as one generation follows other, undistinguishable.

So in the same manner we would see the same person from far and long living in the same house for hundreds of years, even if it is the son, the grand son and so on, because we cannot distinguish from far identical particles, similar generations, we do think is the same electron.

The same happens with the electron nebulae. We are seeing several generations of a fractal electron in space, simultaneously.

For example, the old testament describes Mathusalen and others, living 800 years (which we shall see is the long cycle of a human civilisation or tribe or nation between birth and war extinction).

So the bible uses for several generations the same name in time, and sometimes as when it Names Jacob, for the whole tribe, multiple people of a tribe have the same fractal name in space. So this ‘biblical reckoning of multiple populations in space and generations in time with a single name’ applies to quantum physicists, who think the same Jacob(i)-Hamiltonian describes a single electron, when there are thousands of them.

Thus there is a deeper truth here we shall constantly observe: the same processes and paradoxes of time and space happen in all scales and all observables.

Still space and the Principle of relativity

And yet we see a fixed Universe? Why. Here 2 elements come together, one virtual – the mind’s equation, O-mind (still) x ∞ Universe of motions = linguistic mapping of reality – and one real – the stop and go, motion and perception, workings on reality needed to ‘gauge’, measure and make sen-se of it all through the sen-sorial, sentient properties of reality. But does time stops then in the mind-perception of motion as still information? And in the stop and go processes of all systems, when switching between its active, energetic and passive, informative dual states? Not at all. “Time motions” switches from motions happening in the external ‘absolute space-time frame’ or world of the system and motions happening in the internal vital, relative space-time of the being.

So when we perceive we are still and focus the perception of the small pixel-quanta of lower ‘5D scales’ of reality from where we extract information. Time never stops means it must switch between ‘states’. So for example in Chemistry Mehaute proved that when energy flows stop, information, form increases its ‘vibratory repetitions’ in the molecular field. Leibniz was able to stop for 3 days his motion, static in a chair meditating to obtain with the motions of his brain the awesome concepts of his work, as the brain is pure fat and electric inner faster motion. So intelligent, ‘nervous people’ consume more energy and are picnic, thin.

Now absolute space-time should be called more properly ‘the world’ – that is the external Universe in which an entity displays its actions. And that was the original name given by Descartes to his abstract frame of reference. He affirmed it was the frame of reference of the human mind not THE ONLY one in the Universe.

Yet because the mind only sees its world and it sees it in stillness, that whole Universe of infinite motions conflicts strongly with the ‘human mind’s limited perception’ of it. And so even in physics that pretends to be neutral ‘frames of reference’ are essential to ‘measure’ and the results and equation greatly vary according to the frame of reference we choose, of which there will be obviously 3 – the ‘still, spatial, ∂t’ perception of those motions – planar, toroid and polar perspectives.

The absurd talk of physicists about ‘the fundamental particle’ (which seems to be some short of solid, non-moving Parmenidian thing) when all particles are ‘vortices of motion’ (including masses and charges), that is species of accelerated time clocks, or its arguments on the beginning of time and the death of the Universe explained with only one type of motion (entropy, expansive motions that dilate space and slow time, according to 5D metric, Sp x Tƒ = C), show more than the ‘stupidity’ of Physicists when handling ‘concepts’ (granted) the general limits of the human mind that structurally looks for ‘fixed forms’ so does not understand pure motion, (what moves is the first question they make – answer: a rotary motion that seems a still particle), are just aspects of that structural mind. However the founding fathers like Descartes were aware of it.

Problem with modern ‘naive realist’, ‘reductionist’ mathematical physics is that they are neither aware nor they care to understand the limits of their studies, increasingly ‘robotised’ by their A.I. models of reality, ‘memorising’ data.

This blog is obviously the inverse of that tendency. Leibnizian pure grey matter working on conceptual level to enlighten A.I. equations.

In that sense, to the 3 motions of time we must add the ‘concept’ of ‘perception’ of motion as a ‘still form of space’, which is the only way in which ‘information’ can be properly transmitted with accuracy. This is the Postulate of Relativity in which all Physics is based from Galileo through Poincare to Einstein. And so ‘endophysics’, the introduction of the ‘perceptive frame of reference’, which stops time into spatial images, appears in science from the beginning. We shall constantly remind the reader of those truisms, however hidden by the ‘abstract scaffolding’ created around the ‘frame of reference’ of absolute space-time, which deforms all perceptions of reality.

It is then necessary to remind the reader also of Godel’s inconsistency theorem, which can apply to all languages and theories, and the famous quip of Einstein to Poincare, ‘I know when mathematics are truth but not when they are real’.  Poincare, which made the best enunciation of relativity, and we can here rewrite: ‘we cannot distinguish a form in motion from a motion with form’.

That is, minds often cannot understand if a system is perceived in stillness as ‘space’ or in motion ‘as time’, depending on the relative speed of perception and speed of motion of the observer and the observable. So if the observable is very fast in relationship to the ‘minimal quanta’ of time in which the mind perceives reality simultaneously as space, ∂t≈still space, this fast motion will be converted into a dimension of distance or a solid particle, as we see car lights in a still picture of a night road or wheels of spinning bikes as solid disks. Space thus is created as still pictures of simultaneity in a given quanta of time-space of a certain mind’s reference frame.

The consequences of it in mathematical physics are the equations of relativity which adjusts the different ‘frames of references’ and ‘speeds of simultaneous perception’ of the human mind. There are though much deeper consequences in physics, due to the errors caused by lack of conceptual understanding of relativity principles, and the differences between space and time states. So certain ‘time forms’ of ‘trans-formation’, such as the weak force are erroneously presented as spatial forces; and certain time states of particles, as the 3 quark states or the 3 neutrino states are studied as spatial forms. So are the 3 solutions of EFE that describe the 3 ages in time of the Universe.

This is a fundamental correction of many physical facts and events taken as space and viceversa, and a general rules that phenomena happening in still space will have parity and bilaterally, that is will tend to be even, while time phenomena will have ternary, odd elements (though the rule is not absolute it means that the 3 quarks are temporal states, so fast that seem space to observers, but the 2 states of the nucleon proton-neuron are spatial, that is co-exist in the same point of space forming ∆-p pairs.

You see, in absolute space-time all seems definite and explained but truly when we go deeper there are MANY fields which are hardly explored or full of mistakes.

In other fields, specially all those related with the mind – perception and syntactic of languages, mathematical structure etc. the consequences are immense.

And vice versa. If the perception is so fast and the entity so slow and large that we cannot perceive it all neither any of its cycles, the being will seem to us also pure space without time rhythms, as it happens with rocks, planets and galaxies.

It is worth to notice that in both cases the spatial mind tends to deform reality substituting time motions for still spaces, because that is the natural bias of all minds: to see it all quiet, still, death space.  Yet the way it does it with small faster beings and larger slower, wholes follow the equation of 5D metric, Sp x Tƒ = K, and its two inverse arrows.

Thus there is growing information and speed of time, in lower scales and that speed becomes frozen by lack of mental capacity to see the etials of motion. Yet in both cases the mind suffers the inverse error of confusion of time events with space; also for larger spaces and slower time speeds in bigger wholes.

The arrows of information and energy.

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

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

In the graph, the seminal, 1st species packs a lot of information in minimal space: It is the Worm Hole, the chip, the 1st bilateral animal2, the 1st mammal, the horse and the 1st Homo Sapiens, which seem to have evolved from a dwarf ancestor, which first discovered technology and had a dwarf brain, albeit with an evolved morphology similar to that of the Homo Sapiens: the Homo Floresiensis.

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

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

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

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

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

Further on, evolution, as the analysis of the complex plan of ‘speciation’ shows, has two paths: social evolution of ‘external’ energetic bodies (the herd-state, of lesser efficiency and higher spatial extension) and social evolution of ‘internal’ informative organs.

In cells, this give birth to the two main arrows of cellular evolution: muscles, single cytoplasmic cells with multiple nuclei; and neurons single, dense nuclei with multiple cytoplasmic branches (dendrites).

In Physical systems to ‘quark condensates’ (neutron and black hole stars) vs. molecular, external fusion.

Finally in the evolution of species, we have also the causal rhythms between the dominance of each arrow, similar to the ‘ages’ of life, as a species is the life of a ‘cellular’ parental father, reproduced into multiple individuals that will become extinguished, often substituted by a son-species (Oedipus paradox). And the rhythm parallel to that of climatic change is simple:

Small informative seed (first small species-fetus)-> Energy feeding (growth) -> The young age of the species/individual shows a growth in size -> Reproductive/radiating age-> follows by a reproductive expansion of the species as a new ‘top predator’, while the individual gives birth to an offspring-> Informative age/diversification of the species -> extinction/death & survival of the son species.

This simple scheme applies to the analysis of the ‘frozen horizons’ of the big-bang and the particles created; to the evolution of species, which appear in the fossil record small in size (1st bilateral vernanimancula, 1st modern mammal (shrewd), 1st horse, 1st human with technological/speech skills (Homo floresiensis?), first ‘self-reproductive machine’ (chipped nano-bacteria?).

Recap. The simple, morphological plan of evolution that each fractal species of the Universe repeats is caused by the fact that there are only 3 topological forms in the bidimensional Universe, lineal energy, cyclical information and i=ts reproductive, body combination. So only 3 new types of species can be created, one with more energy, one with more information and one that reproduces both.


In the graph, we can see one of the first key differences between a ‘physical’ understanding of motions in a simplex Universe of 4 ‘spatial’ dimensions (where time duration is merely used as a measure of motion in space, v=∂s/∂t) vs. a ‘complex’ understanding in IST Dimensions, which included ‘changes’ in the proportions of ‘Entropy’ and ‘information’ of the being (arrow of life, from an energetic youth to a 3rd, informative age), and changes in the ‘size scale’ and ‘speed of time’ of the inner structures and clocks of the system.

The graph represents the worldcycle of life and death in a human being in I=TS IST Dimensions, as a system born as a seminal seed of information, in the cellular scale, i-1, which travels through the scales of social complexity emerging as an individual ‘whole’ i-system in the organic scale, and finally as a citizen, cell of society, to a higher, ∆+1 scale, God, nation or civilization, which will then, once the life cycle is over and all becomes information explode back into death, releasing that information as Entropy into the lower, i-1 scale of cells, ∑i-1, which will feed another worldcycle.

When physicists study motion in space-time, they reduce it all to a translation through space, in a time duration, which can be ‘∂erived’, that is, it is continuous without any remarkable change of state, for the system in the whole motion.

When we widen that description to a ∆ST motion, we obtain however a ‘worldcycle’, as the world line becomes more complex, curved in more dimensions.

Yet the main difference in what it means a translation in 4 Dimensional ‘Physical space’ and ∆ST Dimensional ‘Complex space’, arouses when we understand that in Complexity, entities are made of Dimensions (Leibniz’s theory of relational times and spaces) while in physics, dimensions are a ‘background’ abstract to the being – a deformation of the way they were conceived as absolute space and time, with a ‘background paper’s artifact – the Cartesian frame of analytic geometry.

Thus to move in physics over a background artifact of dimensions is different than moving in complexity as you are made of dimensions, your self-dimensions as an ∆ST Dimensional being move with you.

This outdated model of absolute background dimensions is thus replaced by a fractal model of dimensions:

Each entity of the Universe is made of a relative amount of ‘vital space’ and last a quantity of ‘time’ as it grows from its seminal scale to its individual and social scales, where it evolves and interacts with other similar entities. We are thus ‘vital dimensions’, we are made of them, their motions, symmetries and transformations.

And so all what exists follows the generational-life cycle:

13 3 AGES

In the graph all physical and biological systems, ‘live and die’ as super organisms made of ∑atoms/cells that evolve through networks that transform Entropy into information (Life arrow) and then explode those information networks back into disconnected Entropy when they have exhausted it (death arrow) determines a sequential, existential life-death cycle invariant in all beings:

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

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

-Sp=Tƒ: Balanced, ‘classic’ age dominated by reproductive/communicative systems:

The present, or steady state is the longest, more efficient state and can be defined mathematically simply as Max. Spx Tƒ -> S=T, since both equations are related, as 4×4>5×2>6×1, the point of balance between Entropy and information is thus the maximal point of the equation of existence, the mature, re=productive age when the species reproduces its Entropy and information fully in other zone of space and time.

It is the desirable age to ‘stay for ever’ the immortal top predator point of the wave of existence of any species or individual or universal, Consider the classic definition of beauty in art, as a balance of forms, and indeed, we see the harmony and proportionality between form and size, space, as the definition of classic beauty. And we will return to that, when observing that all forms of art can be reduced to 3, lineal, epic, energetic art, classic art, and baroque, informative, with an excess of form.

image021In the graph we can see how the Universe creates ‘waves’ of super-organisms that travel worldcycles, mostly life and death cycles across the ∆ST Dimensions of ‘existence’. Seen in this manner from the perspective of the ‘dimensions’ of form, of information, what we see are just ‘manifestations’ of a deeper program, the ∆ST worldcycles of creation and extinction of ‘existential curves’… in ∆ST Dimensions.

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 ∆ will however co-exist and evolve in time, through 3 scales of social complexity:

∆-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:

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

∆-1: the moment of death in which it will dissolve back into its cellular scale. In the graph in physical scales the process is understood as a big bang:

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.

In this sense science describes those cycles with different parameters of Entropy and information, as it does in the case of the life of stars and galaxies:



In the graph, we can see the point that maximizes the function of existence, e xi of any species.


And so what we call a worldcycle of existence of any particle is a sequential combination of both type of motions along the entire life of an entity.

WE SHALL CALL the journey of a worldcycle, a trip of existence, which in its infinitesimal analysis will appear as a sum of actions of space-time, a sum of parts that become wholes, a sequential series of time ages, and a series of territorial gradient space-time properties and vital spaces in which a O-point struggles to accomplish its program of existence:

Maximize, conserve your space-time: Max. Spx I: Max. ∆a,e,i,o,u.

Thus we can consider that the ‘conservative’ integral of the sum of the actions of a system (which will be a Hamiltonian in mathematical physics), gives us the ‘whole will’ vision of all the motions performed by a zero-point, while the sequential analysis of each of its a,e,i,o,u actions will give us a detailed study of its world cycle step by step. Those detailed, action-oriented, and whole-conservative perception of the world cycle and its motions are complementary and required to fully grasp why (to survive) and how (through cyclical actions) a system acts.

The UNIVERSE CONSERVES TIME MOTIONS, AND ITS COMBINATIONS, of Acceleration, which expels energy, and causes entropy, of feeding on E, (expansive motion) on informative perception, O, (implosive, cyclical motion) and Iteration, reproduction, repetition of the information of a being, of creation of universals. The ±∆ cyclical actions of space-time, its frequencies, synchronicities, knots and connections, is what the topo-bioloic game of the 5 motions and its infinite knots of existence, is what reality is made of.

We are a knot of existence, a knot of cyclical ±∆exi actions of space-time. We exist by performing actions, with a survival purpose. We enjoy the game. We are a point on the centre of a topological sphere, which perceives it all and defines with its crystal mirror symmetries that become linguistic orders projected into another area of the being, the will of the actions of the Universe.

There are souls, there a re minds that stop existential flows into mappings of realities:

Θ. O-mind (still mapping in lesser dimensions of) x ∞ Universe (infinite sum of cyclical motions of other existences=Linguistic mapping.

Stop, perceive, inform, go move, absorb information, expel energy, feed on energy, reproduce information,c communicate with clones form part of bigger wholes, follow the mandates of existence of the bigger whole, order your smaller parts, absorb even smaller quanta of energy and information, functions of existence you see as dead space, processed by the A-logic of your mind.

Tƒ be or not to be symmetric, equal, hierarchical, how to take advantage of the game, how to maximise my existence, and yet, all finish objectively defeated, and the world cycle consumes the being. Why?

Because the infinitesimal, indivisible repetitive actions of ±∆E,O, I, U, A of each being cancel each other and slowly erase the being, warp, penetrate and dissolve its time cycle.

Time Existences. Entropic ±accelerating motions, implosive, informative vortices, moving up and down the 5th dimension and iterative waves of repetition through extensive presents, cloned isomorphic membranes of space-time developed in its ST symmetries around us.

The repetitive forms in space and the dual motions of its beings, future to past of entropy, past to future of information, reproduced constantly in present waves of times, in which past-energy and future-information combine. That’s all. And the result are the cyclical actions of space-time and the clonic waves of similar Œ, functions of space-time existence, which populate the infinite parts and wholes of the Universe.

The Theory of ‘Time existences’, or ‘T.œ’ is thus a theory of conservation not of the spatial egos, fixed mappings of an ever moving Universe, but of the motion itself and its 3 past, present and future dimensional=formal motions.

That is what is all about. The eternally immutable, perfect, ever variable all and nothing cancelling and paradoxical, ±iTS, and its conservation laws. We can see all those flows in still pictures of space, as the 3 2-manifold varieties, of hyperbolic waves/bodies that connect lineal, toroid fields/limbs of accelerated and decelerated and steady state translations, or the informative particles/heads that gauge information and guide the system. But at the end all past and future motions balance each other into a zero sum, and all presents exhaust themselves into extinction or repeat into a clone wave, making the present last.

So there is a constancy of existences… which we perceive in universal constants (ratios of the 2 arrows/intervals of cyclical vortices, masses and charges, and lineal motions/distances, which define a relative curvature of space/time, vital constants that are metabolic ratios between energy and information, around a fixed temperature, in living beings and so on).

We shall study in this post, which advances further T.Œ, beyond the study of its two elements: vital spaces, encircled by time motions and its fundamental 5 varieties of cyclical motions of time, what we call actions of space-time, the integration of those space-time cyclical actions into waves of existence, of life and death, which are combined travels through the scales of the 5th dimension from seminal i-1 seeds into emerging wholes, which perform time cycles into an ∆+1 higher scale, to die back and explode its information into i-1 and i-2 planes, ending the wave, which will then be repeated by an offspring of iterative clones, which will form another wave.

∞. The immortality of time.

There is simple Logic-mathematical proof on the immortality of time, and the consequence: An immortal Universe.

The probability of ‘It’ not to be immortal but of finite time, T=K, is quasi-null: K/∞ = 0%.

Since the reminder the Universe would be in non existence, non existence would have an infinite duration.

Thus a finite existence, divided by the total existence K/K+∞ =0, gives us the probability of existence of a Finite T Universe, and we, within it. By reductio ad absurdum if the probability of existence of a a finite universe but the probability of existence of an immortal Universe is 1. Since we exist, we must deduce, that the Universe exists for ever: T=∞, ∞/∞=1 probability.

In brief the Universe either existed never or existed always. Since now it exists, it must stretch for ever and duration must be infinite T=∞, and the probability of being, 1.

A finite time on the other hand mean a O% of the total duration, a T+∞≈100%

Thus the chance that at any moment we are in existence in a finite time Universe is null.

Therefore it conserves time, in its three |xO=Ø arrows and the symmetric 3 varieties of 2-manifold spaces.

Once this is clear we are obliged to state that the Universe conserves time. Since if it does not conserve it, in the infinite existence of no-motion; time would have long ago been exhausted. And so we should not exist now. Yet time motions keep going.

So Time is conserved, and since there are infinite fractal time spaces to be conserved, we must consider conservation laws and Universal constants that maintain its same value through the passage of time in terms of the Metric of the 5th dimension. Thus we can write a series of conservation laws, which will apply to any system of vital space-time, not only to physical systems.


The search for immortality: the middle point of the world cycle.

Thus the life-death cycle, has its maximal in the point of balance (Max. (Sp x Tƒ)-> S=T) or maturity between youth, Max. Sp x Min Tƒ, and, 3rd age (Min. Spx Max.Tƒ).

And our systems of perception acknowledge it, with 2 concepts:

– One biological, as top predators are those who have maximal body ‘—motions’ and informative intelligence, surviving longer

– And one aesthetical, as we perceive beauty in the balance, of ‘‘—motions’’ and ‘form’, the two primary ‘elements’ of reality.

Thus in a synoptic manner the ∆ST Universe can be reduced to a game of ‘forms in space’ and ‘motions in time’ with its balanced combinations.

Yet physicists only accept lineal ‘—motions’, as the arrow of future ignoring the relationship between time clocks and cyclical, rotational motions that carry the information of the Universe.

Thus, a key innovation made by complexity is to consider a wider vision of time dimensions also, recuperating for science the past, present and future division of classic philosophy, as dimensions of time:

– < Expansive, ‘past’ motion that erases dimensional ‘form’, information, creating space

‘—motions’ is expansive motion, the relative past dimension of beings, as it applies when a ‘form’ dissolves from its upper ∆+1 social scale down into its cellular parts in the moment of death, or in a big-bang explosion (biological and astrophysical beings).

– > Implosive ‘future’ accelerated motion that warps space into dimensional form creating information

Information is implosive, rotational motion. It is the inverse of ‘—motions’, (called for that reason also negantropy).

Yet in complexity, unlike in physics, which considers ‘‘—motions’’, expansive ‘—motions’, ‘a dying universe’ the future, we consider information, form, the arrow of life, the future. Since systems constantly increase in information, in form, warping space into time cycles with gravitation; or wrinkling through life, accumulating an excess of ‘memorial’ cycles.

Since ultimately the ‘longer stretch’ of existence for any system, is the arrow of life, while the arrow of death, takes a relative zero time to happen (Max. Spx Min. Time). And so the arrow of information dominates the arrow of ‘—motions’, which expands space but lasts one i-1 quantum of existence (the ‘faster’ life period of the lower cellular scale of the system).

= Present repetition: The reproduction, production, repetition, iteration, decoupling of ‘forms’ of the Universe in cloned forms in all scales of reality maintains the illusion of an ‘eternal’ self-repetitive, fractal present.

And so we define a dual ‘beat’ for all beings to explain the worldcycle of each of those entities made of ‘scalar space-time’:

Sp>Tƒ (Life-Information arrow) =Present Arrow = Tƒ<<Sp (death arrow).

Or in synoptic manner: Sp>=<Tƒ, which becomes the fundamental causal equation of the 3 time ‘dimensions’, T(e,ƒ,o).

As all systems, first ‘grow in information’ from the relative past ‘—motions’ of birth to its final 3rd age of excessive form, in the i-dimension; both in biological systems (aging arrow) and physics systems (change of state from gas to solid of most physical systems).

Yet those relative past and future arrows, are ‘broken’, fractal ‘time durations’ or rather ‘time frequencies’, with a limited number of beats, for each i-superorganism, whose ‘time dimensions’ will end with the ‘reversal’ of death – a relative travel to the past of a ‘living system’ of ‘—motions’ and information.

Since we are made of fractal time durations, in a Universe of infinite time clocks where absolute time is merely a ‘Kantian category’ of the mind, but not of the Universe – a fact that forbids certainly the type of paradoxes and ‘time travels’ proper of a less detailed analysis of the Universe with a single time arrow, as Simplex Physical 4D descriptions of the Universe make us believe.

A worldcycle of life and death is paradigmatic of all the processes of birth, evolution, reproduction, information and explosive death of all systems, either biological or physical (where the 3 ages are the 3 states of a molecular gas->liquid->solid->Big bang cycle). They define a fractal Universe of IST Dimensional beings ‘made of dimensions of space, time and cellular, organic, and social complexity’, where each ‘worldcycle’ is a Universe in itself, made to the image and likeness of the whole Universe, which also has a worldcycle from its big bang to big crunch, and might be just a ‘cell’ of a higher hyper universe.

We thus start to observe some fundamental symmetries and inversions of ‘complex dimensions’, which rule the existence of species ‘made of them’.

Thus T.Œ must study in great depth the contradictions of those world cycles, which are all for their zero points but mean nothing, in an infinite, eternally moving Universe. Time is conserved, but since time is motion, what is conserved is the eternal tao, the eternal symmetries and transformations of stop and go beats, cycles that become lines that become cycles across 3 dimensions of space of time of Universal Planes; NOT the spatial minds that stop time in infinitesimal mind-mappings of space:

             O-Mind x Infinite Universal motions = Fleeting Still mapping of those motions.

Since no mind excepts perhaps the consciousness of the whole Universe in a very slow time-quanta, that of absolute space-time as a pantheist God which encloses in each of its mind mappings the entire reality into a ‘Pure Thought’, is immortal. But that is pure metaphysical speculation. So let us start our journey through the travelling waves of space-time in the most minute of all motions, a mere translation of space, in two adjacent, discontinuous regions, as motion is also reproduction of form

Those 3 ‘points of maximal, minimal and stationary balance’, ARE the 3 points we find in all timespace ‘world cycles’, from physical motions (it is called then the Hamiltonian of the motion) to the 3 ages of life, the young age of energy, the age of balance and adult reproduction and the 3rd age of information…. to the point that we shall define:



In the graph, the time motions of all species are guided by the 4 main arrows of time: the motions of atoms, complementary entities with a center of gravitational information (quarks) and a surface of electromagnetic Entropy (electronic cycles); the motions of molecules, which vibrate as they evolve socially into complex cells.

Those cells can also be defined as a series of informative motions with center in the DNA/RNA systems and energetic motions, masterminded by lineal, energetic proteins that surround the cell.

The Law of organic evolution determines that those cellular knots of motions evolve into networks and organic chains that form complex vital organisms. Among those organisms, such as the bird eating the worm in the picture, the selection of the best forms causes the extinction of the simplest ones used as ‘Entropy’ of the top predator form. Thus survival justifies the growth of individual parts into waves, herds and organisms. Social evolution is also obvious in History, whose final goal is to create a Global Super-organism of equal human beings, who become cells of Mankind. But Mankind is just the ‘informative’ brain of a planetary body, called Gaia, which we should try to preserve as we preserve our reproductive body if we want to survive.

Multiple space-time arrows=cycles=dimensions.

All what you see is caused by a motion of an entity through space-time. This motion can be perceived as a dimensional form, if we consider the entire trajectory of the entity (a world-line in the jargon of metric spaces), like the lines of a car in the night, taken at slow motion. It can also be considered an action born of the need of the entity for Entropy, information or more complex needs, born of the combination of the previous 2; and then we shall call it an arrow of time, or tendency of future caused by the action of the being.

Or it can be seen as a repetitive cycle, in as much as species switch between the different arrows and needs, so cyclically they return to certain trajectories and åctions – feeding, informing, reproducing and evolving socially.

What we shall do in this work is use those 4 arrows to explain most phenomena, and then refine the analysis of the details of the Universe by differentiating some of those arrows in new dualities. For example, social evolution is different among energetic ‘species’, which form only waves with minimal communication and informative particles, which form networks. Finally in the Universe processes of social evolution are multiple and fractal so atoms become molecules that become cells that become organisms that become societies and so we have to consider those fractal scales of reality and define a fractal or transcendental arrow. This means we divide the social arrow in 3 different sub-arrows of time, for a total of 6.

On the other hand the arrow of reproduction can reproduce a simple action or ‘minimal cellular’ event that combines Entropy and information, Sp X Tƒ, which is used in physics; or it can reproduce a far more complex social organism till recreating the entity, Spe<=>Tiƒ, which is the arrow of reproduction proper and as a result of this, when multiple reproductions happen in time, it gives birth to a series of generations between the birth and extinction of a species, and so we can divide in 3 sub-arrows the arrow of reproduction, for a total of 8.

Finally, if we take the entire Universe or any of its worlds or ecosystems as a whole, it is obvious that we can consider this final teleological goal of creation that puts together all the parts of a set into a whole, the 9th and final arrow, which defines the absolute space-time, Spe X Tiƒ, of reality and exhausts our analysis. So the total arrows and dimensions of the whole Universe are 9 – the maximal arrows of time we shall use here. But in this introductory course we use basically the 4 biological arrows that suffice for a detailed analysis of reality: the arrow of Entropy feeding, informative perception, reproduction and social evolution.

Consider what you do as a human being with your lifetime, and try to put your events and åctions within those 4 categories: All family events relate to reproduction. All feeding events relate to Entropy. All social events relate to eusocial evolution.

Your work events relate to the accumulation of money, the ‘language of economical reproduction’ that allows you to acquire the energetic and informative goods your reproductive body and informative head require. When you drive you are in an event that converts Entropy into motion. When you read this book or watch TV or surf the Internet, you are accumulating ‘information’, albeit expressed in different languages, made with different ‘formal symbols’. At the end, you will not find any action that does not become explained by those 4 arrows. And since you are in fact, as a human being, the most complex ‘form’ of the Universe, it is easy to deduce that all other simpler species also perform events related to those 4 arrows.

For example, Physical matter & space can be described with those 4 arrows: We know that the simplest physical beings – particles – gauge information (so quantum theories are called gauge theories), absorb Entropy (called forces), reproduce into self-similar particles (so quarks and electrons produce self-similar quarks and electrons when you give them Entropy), and evolve socially into atoms, molecules and celestial bodies. So the two limits of simplicity (atoms) and complexity (human beings) we know, do follow the main Postulate of the Theory of Multiple Spaces-Times – that the Universe can be explained departing from the study of the properties of those 4 main arrows of time.

This self-evident truth however is hidden to science due to the religious traditions ‘subconsciously’ embedded in the work of the founding fathers of science, mostly pious physicists of the Jewish-Christian tradition, for whom there was a single, monotheist God. And so, when a Philosophy of science was devised by those ‘founding fathers’, it became natural to seek for a single arrow of time that matched the Christian beliefs of Kepler, Galileo, Descartes and Newton4. The choice of arrow was thereafter defined by the nature of Physics: since earlier physical studies were based in clock-measures of the motions in space of physical particles, expansive motion=Entropy= entropy has become the single arrow of modern physics.

Yet entropy-only models ignore the arrow of information, of morphological change that defines life. In that regard, there are in science two theories of time, which this work fusions and upgrades into the more complex knowledge about mathematical and logic languages and complex natural phenomena (fractals, chaos theory, black holes, cyclical time, information sciences, etc.) proper of the XXI C:

– Theory of Evolution, the Biological Theory of time developed by Darwin, based in causality and logic time, according to which Time evolves the in/formation, the form of species. Since the causality of Time is based in the extinction of the less perfect morphologies of the Universe, whose form is destroyed and used as Entropy for the future reproduction of the best forms

– And Relativity Theory, in which the analogy of Time-clocks is taken to its ultimate consequences, defining times as a ‘curved geometry of space’, self-similar to that of clocks.

This work unifies both Time theories into a single scientific theory of time=change, by expanding the Einsteinian concept of a curved geometry of time events, which are ‘cyclical in nature’, as the time cycles of the clock, to biological sciences; and the concept of the survival of the fittest ‘forms of time’, proper of biology to physical particles, where species with maximal momentum survive.

Thus the ultimately surprise of the new paradigm is that you live in a vital universe because the 4 arrows just described are the 4 properties biologists call the drives of life. Indeed, the Universe is made of infinite number vital, fractal, topological space-times that live, exist through those arrows.

Yet a Multiple Spaces-Times Theory goes beyond Evolution Theory, which studies the Time Arrows of Information and Reproduction and Physics, which studies the Time Arrow of Entropy, to include also the Time Arrow of Eusocial Evolution, especially relevant to understand Religion and History.

Recap. There is an homology between the concepts of a cycle of time, a dimension of space and an arrow of space-time or action, Sp X Tƒ, which becomes the unit of exi=stence of all beings.

In this introductory course we shall use basically the 4 biological arrows that suffice for a detailed analysis of reality: the arrow of Entropy feeding, informative perception, reproduction and social evolution.

Cyclical times, discontinuous spaces.

If we were to resume this model of multiple spaces and times in a couple of pages, we could say that it takes the alternative theory of cyclical, relational time, and multiple vital spaces, envisioned by Eastern Philosophers, the Greeks and Leibniz to its ultimate consequences, revealing the isomorphisms of time cycles, applying them to find the cyclical patterns all species of all sciences (since a science indeed must have predictive capacity by finding the cycles of the entities it studies and projecting them into the future), and establishing the rules of engagement between discontinuous ‘fractal spaces’ which co-exist in the same Universe but have different densities and forms of Entropy an information, and so need to establish communicative flows of those substances between them to maintain the harmony we observe in the whole reality.

Each of us is therefore a vital space that performs and lasts a series of time cycles. We are not in an abstract background of time and space (Cartesian-Newtonian paradigm) and the Universe has not only a single universal time-clock with a rhythm similar to the ones we humans use (the second of our mind thoughts, eye blinks and mechanisms).

Neither there are only a space-time continuum where all can be perceived, but at least to space-times of universal reach, the light-space we inhabit and the gravitational pace we do not see, and within the light space we live on, there are infinite ‘complementary atomic forms that web evolved particles of the mass membrane (quarks) and particles of the light membrane (electrons), in complex networks and organisms, which are themselves ‘broken pieces of space that perform specific time cycles’. Man is one of the most evolved forms of the Universe, but it is not different to the rest of them: we are a knot of biological time cycles that occupy a vital space.

And this simple scheme of things, which has always even known to philosophers but put aside by scientists because of the difficulty of measuring reality from infinite points of view, and infinite time rhythms must be ordered to become scientific. Let us tackle this most important question from the perspective of space, time and its combinations.

A verbal, logic definition of the 4 arrows will be as follows:

Entropy = Motion; In/form/ation=Form; Reproduction=Repetition; Social Evolution=Network.

The Entropy arrow is a change in the motion or translation of beings; the information arrow is a change in the morphology of beings; the arrow of reproduction is the repetition or iteration of an entity in other region of space-time and the arrow of social evolution is the process of evolution of individual, self-similar species (hence reproduced/repeated species), into complex herds, waves and organisms, thanks to their creation of social networks in which those entities share Entropy and information. So the entities of the Universe move, change form, repeat themselves and evolve into social networks.

A Universe made of lineal and cyclical motions is eternal, with ∞ parts in perpetual motion, which show 2 essential properties:

– Time arrows/events are cyclical and discontinuous. What happens in the past will happen in the future again, once the initial conditions are met. And so we can map out ‘frequencies’ of events that repeat themselves in a cyclical manner: Time cycles are patterns that happen ‘from time to time’, with a ‘frequency’, v, which is the essential mathematical parameter to study Time Arrows/cycles.

This brings also the geometry and concept of clock-times, which are instruments that mimic those 2 properties. In the same manner we eat from time to time in certain places (our favorite restaurant or dinner room), clocks come from time to time to the same place of space. Yet clocks only show the how and when, the geometry and frequency of those cycles. They do not explain why events repeat (we eat because we obey an arrow of time called ‘Entropy’; we make love because we obey an arrow of time called ‘reproduction’ so we need to copulate and so on.)

The discontinuity of time events causes the discontinuity of vital spaces. Since a cyclical trajectory encloses a ‘space within it’ and outside it. So time events become cyclical trajectories that isolate ‘vital spaces’, creating space-times of curved nature, which physicists describe with Theory of Relativity.

– Time arrows/events are causal. Time events have an order, A->B, which means event A must happen to trigger event B. We have to be hungry (lack Entropy) to need more food…

– Time arrows/events are self-similar. Time events happen in self-similar fashion in many different species. All life species for example feed on Entropy, and so do all particles that absorb energetic forces. And this is the reason why we consider ‘Entropy’ one of the fundamental Time Arrows of the Universe that its entire species absorb. Those general ‘arrows of change’ become in reality specific types of change of species. So science can use those arrows to understand the general meaning of each specific A->B event of each discipline.

– Time arrows/events are multiple, since each species has different types of change, and even though we generalize them with the concept of Time Arrows, those changes do happen individually. There are infinite time-clocks in the Universe, each one with a specific form of change or ‘trajectory/motion’, and/or different duration/frequency. Thus, absolute time is the sum of all the causal, deterministic paths of events that create the reality of each entity of the Universe.

All those repetitive cycles and changes put together is what we call time, but in many civilizations is called ‘Times’. This ‘relational concept of times’, clearly explained by Leibniz, differs though from the single clock-time concept of Newton10, which might be easier to use for calculus (reason why it is accepted in the praxis of science) but will not make us advance much in the philosophical understanding of times-changes.

The existence of those 4 arrows/cyclical åctions, which a certain entity of time/space performs, arises from a bio-logical analysis of the fundamental fact of existence: we are made of quanta of spatial Entropy and temporal information. This implies that the existence of all beings has a limit of duration in time or death and a limit of size in space or individual discontinuity.

So all beings need to absorb fractal Entropy for its reproductive body and information for its mind to continue their existence in time/space. Further on, beings reproduce in order to surpass their limits in time, repeating their form in another region of fractal space/time, overcoming in this way the temporal limit of their existence, the cycle of death. Finally, beings associate to other similar beings to surpass their limits of fractal, spatial size, growing in macro-organisms that are simultaneously a sum of individual cells and åctions put together into an Organic Whole that acts as a unique being.

Yet the being will never be eternal and at a certain point its time-space will collapse after performing a sum of those survival cycles. We call the sum of all the energetic, informative, reproductive and social cycles of existence of a being, its generational cycle.

So from electronic cycles that exchange Entropy and information, described with quantum numbers, to man who acts seeking those cycles, feeding, learning, loving and creating societies, the ‘will to create dimensions of existence’ is embedded in any cyclical Space Time field that tries to overcome its fractal limits, creating 3±∆ physiological dimensions.

The ‘existence’ of those cycles is in itself a tautology. Since a being that doesn’t perform those cycles becomes extinct and hence no longer ‘exist’. Thus all what ‘exists’ accomplishes those 3±∑∆ cycles/dimensions, including a light photon or a crystal, which repeats its form, associates in molecules and processes Entropy into information, creating an image within its internal, informative center or vibrates emitting Entropy. Since all exists to cycle and cycles to exist.

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

The beats of the Universe: Sp<=>Tƒ

The simplest of those cycles of course is the clock: the needle comes always to the same point and closes a cycle. But the clock is a metric cycle of time, as the point is always in the same metric distance from the needle and the structure doesn’t move. In a topological space, a time cycle is not concerned with distances and continuity of the cycle but the entity just has to return to a self-similar topological form, which has one of the 3 functions mentioned before – energetic, informative and reproductive topologies/functions.

So a key law of the 4th paradigm is an old law of science:

Each form of topological space performs a time function/arrow

This law becomes the key to understand those cycles. For example, when a lion comes to a topology of Entropy called water, and drinks, he is completing a cycle of Entropy feeding, by intersecting with the plane of water and absorbing it, and that is a time cycle even if he doesn’t return to the same water well and doesn’t return with the same metric distance, as a clock does in a metric space. What the lion accomplishes is a time cycle in a topological space, in which what matters is no longer the form but the function of Entropy feeding.

Thus we establish a new concept of a space-time cycle, one in which function supersedes metric form, and consider that there is a common ‘arrow of time’ called Entropy feeding, which all Complementary entities of Entropy and information achieve. Suddenly we realize that all entities feed on Entropy because they need to move and they all have a reproductive body/field of Entropy, which must be replenished, or else it will be spent. And this overall function of all systems, feeding on Entropy becomes the first arrow/cycle of time of the Universe.

Yet all those complementary forms do have also an information network that requires perceiving the Universal tapestry. So in fact, even before the entity feeds it will have to perceive, gauge and calculate information.

And this becomes the second arrow of time, of all complementary beings. And again we realize that even physical particles gauge information, and certainly move with it field of forces. So do biological beings that process information with DNA nuclei and heads, and process Entropy with their cellular bodies. And so now we have 2 arrows of time – a concept that means tendencies of the future – Entropy and information, and two types of cycles to accomplish them.

But unlike the classic concept of science of a single continuous time arrow (the arrow of Entropy or entropy), because we have now two arrows, time must be discontinuous, as the entity must go from Entropy cycles to information cycles and this establish the universal, fundamental beat of reality: all entities of the Universe go through a process of motion (Entropy process) and stillness (perceptive informative process). Since we realize that to perceive and map information you have to ‘measure’ in stillness. Here it comes the meaning of all those metric spaces of classic science. They describe the arrow of information and measure; while all those analysis of motions and speed describe the arrow of Entropy.

Thus we define a universal beat of existence, Sp<=>Tƒ, motion, stop, motion, stop, Entropy, information. Like a movie in which the frame moves and stops and illuminates in stillness creating a form of information, all entities of the universe have stop and go rhythms, day motions and night sleep, and when they move they process Entropy and when they are still they process information.

In this manner the generator equation of spatial energies and temporal cycles of information appears, Sp<=>Tƒ.

Thus a new field of science of enormous richness is the algebra of time, which studies the previous equation and all its possible beats from where all events of reality will emerge. This equation is to systems sciences and complexity what the Unification equation of Physics is to physicists, a sub discipline of the wider view we bring here – since we shall be able to deduce all the equations and species of all the sciences of mankind from that simple first beat.

For example, all physical systems are complementary, made of a field of Entropy (Se) and a particle of information (Tf), which constantly switch between one and the other state: e<=>o.

All cells have a nucleus of informative DNA and a body that absorbs Entropy and reproduces, and so do all biological organisms with an informative head and a body that absorbs Entropy and reproduces, o<=>e. And the difference between both is that in physical systems Entropy=motion dominates and in biological systems, information dominates.

We could say and ‘God say move and stop, feed and perceive with your body/field and particle head’; and in this manner he set in motion the game of infinite forms of existence.

Let us then try to classify all those space-time cycles, breaking them ‘apart’ from the equalized time of the clock that metric spaces have used today to measure all of them.

Recap. All what exists is a complementary system of Entropy and information that switches between both states: Sp<=>Tƒ.

Dimensions/arrows/cycles of Existence in space-time.

The first astounding conclusion of a careful study of all structures, forms, cycles and events of Nature is that we can reduce all of them to a dualist->4-dimensional scale, according to which all what exists is created by Entropy and information, the simplex arrows of space-time. Those 2 arrows in a first layer of complexity combine in social events, and reproductive events, creating the 4 ‘drives’ of all biological beings, since biologists define life as entities that feed on Entropy, gauge information, reproduce and evolve socially.

Thus from 2 simplex, Entropy and information arrows come 2 complex, reproductive and social arrows, which give us the 4 ‘dimensions’ of space-time.

We represent them with a generator equation, ∑Sp<=>∑2O, where we add 2 symbols of social evolution, ∑ a sum of the cells of the ‘body’ and ∑2 a multiplicative network. Since informative systems form networks that relate all cells among them, multiplying its social power, and <=> the symbol of feedback cycles between Entropy and information systems that reproduce the entities of the Universe. The equation represents also any complementary system of Entropy and information in the Universe, and depending on the operandi we use to substitute <=> we can represent one or other system or event.

This simple scheme of 4 arrows, dimensions, cycles or whys of the Universe suffices to understand the nature of reality. And so in most models of multiple time-spaces we use them to explain the events and forms of the Universe.

Recap. There are 4 whys in the åctions of all beings, whose cycles create the space-time trajectories that we perceive as space-time: Entropy cycles, informative cycles and their combination, reproductive and social cycles.

Entropy->Form->Reproduction->Social Evolution

The main arrows of time are Entropy, information, reproduction and social evolution. We cannot unify further those ‘classes of events’ without losing ‘key information’ about them, as Physics or monist religions do, with their obsession with a single ‘God’ and a single ‘Clock-time’ to measure all types of times-change. Instead, we can study in detail those arrows, its properties, cyclical periods and the relationships between them. And the first logic question to make on this complex philosophy of science/time is: Can we use Logic Time – the existence of causality; of a successive order in the path of events that go from A to B to C, etc. – to classify those arrows, which include all other phenomena into themselves?

What was first the egg or the chicken is a key question of science. The answer is intuitive – the egg; the seed of information, the perceiver point of view, head or particle of information that gauges reality to decide its energetic motions with a purpose. The Universe, not only man, is intelligent, and so are all its parts. Each mathematical point of view, each knot of Time Arrows, from the simplest atom to the mind, decides first intelligently the ‘time arrow’ or purpose of its motion in its still, perceptive, informative state and then it moves its mass or body/limbs, where it is the Entropy to feed itself, or in more evolved beings, where to reproduce or join a social network.

Thus, there is a causal chain that produces the more complex Time Arrows, reproduction and social evolution, from the simplex ones, Entropy and information:

Information (subject) absorbs Entropy to move in order to Reproduce or Evolve Socially->OERS

This logic order is the most important causal chain of reality, responsible, for the cycle of life and death, the isomorphisms of evolution and the eternity of the Universe.

In all universal åctions, we must start with a perceiver, I, the subject of all åctions, of all sentences. This perceiver – the unmoved one of Aristotle, the Atman, the Soul, the Monad, the Non-Euclidean Point of View of Time Theory – is a knot of Time Arrows, or motions with a will, of wishes and memories. And the first thing it does, automatically, is to perceive flows of Entropy and create a mapping of the Universe, in its particle-head, then it will move with Entropy, space, extension, the ultimate substance of the vacuum in search for one of its arrows; it will untangle a knot of memories looking for a replication, T->Sp->ST.

The subject will spend its Entropy/motion, tracing geodesics, world lines, curved trajectories, all of them mappings in a complex plane of a mere circle. In this manner the subjects become ‘forms-in-action’, informations. And once we have an entity of Entropy and form, with momentum, with Entropy and time, with a cyclical motion, a purpose, once Schopenhauer’s Idea becomes Will 14 in search of the immortal repetition of its forms and motions we exist in an event of reproduction that will produce waves of self-similar forms…

It is reproduction, the purpose of existence? No, reproduction is only the beginning of the final arrow of the fractal Universe, which is to evolve individuals into societies that last longer in time, have bigger vital spaces, and hence survive better.

The 4 time arrows imply that the substrata of reality is Time-space, not space-time, since the 3 dimensions of time, past=lineal Entropy, present=wave /repetition, future=form /cycle are motions; and the existence of causal relationships and social isomorphisms that create complex systems of motions, introduce an entire new category of knowledge in the human mind: that of the isomorphisms of time-space, the morphological relationships between its transcendental forms and the relationships between the different fractal scales of reality.

Recap: The 2 simplest Time arrows of are the creation of Entropy and information. The simplest events of time seem to be energetic feeding. To create ‘form’ we need first ‘formless’ Entropy.

Yet prior to all motions and transformations of Entropy there must be a perceiver or point of view, the fundamental logic particle of the Universe, either a particle of information – a biological head or any other ‘linguistic processor’ of information, which defines a path of action – a motion in search of Entropy to reproduce itself. It is the game of Existence. On the other hand, to reproduce an entity of Entropy and information we need both arrows, Sp X Tƒ, which combine to give ‘birth’ to the infinite species of the Universe.

Once reproduction happens, the Universe shows a 4th organic arrow of time that evolves socially self-similar, reproduced individuals into waves, herds and organisms. The 4 main arrows of time together define a game of creation of Entropy and information entities, which reproduce and evolve socially, emerging once and again into more complex forms: lineal and cyclical strings evolve together into particles and forces, which evolve together into atoms made of quarks and electrons, which evolve together into molecules, cells, organisms, societies, planetary systems, galaxies and Universes. For that reason we can establish a causal arrow of Time between the 4 arrows, Sp->O->R->S.

The 4 cyclical, dimensional åctions of existence.

Any organism or species between conception in its inferior plane of seminal form, (∆-1) and its death back to the same plane of cellular existence, exists through those cycles in a social st-plane in which he performs them. Which in Cyclical Time terms means that it performs a fractal, a social sum (+Se x Po) of energetic (Sp), reproductive (<=>) and informative (O) cycles. The study of reality is the analysis of those space-time cycles that we can formalize, departing from the space-time field equation, ∑Se<=>∑2Tƒ, defining any cyclical action as a partial event of that cyclical equation:

– Sp<=O: Entropy, feeding cycles/dimensions transform information into Entropy or negative arrow of entropy and direction towards the relative fractal past. They dominate the young 1st age of an Exi field.

-Sp=>O: Informative cycles/dimensions form the positive arrow of entropy and future that transforms Entropy into information. All forms process spatial Entropy into temporal information, from atoms to black holes, which either acquire form or perceive reality. So all beings become ‘informed’. They dominate in the old, 3rd age of the Se x Tƒ field.

Informative and energetic events/forms are inverse arrows that co-exist together, shaping a dual cycle, which sometimes occurs simultaneously, as in a Darwinian event of hunting, when a predator energizes itself, killing the information of the victim. And sometimes ‘stretch in the 2 directions of time’, from past to future in the process of life and from future to past in the process of death. So we write: Victim’s Death: Entropy bang = Life: Informative feeding by a Top Predator

Thus, the existence of many beings can be explained as a dual fluctuation of a space-time field that first evolves, increasing its information, as the entity ‘lives’ and then devolves, decreasing its information as the entity ‘dies’, closing in this manner a ‘space-time cycle’, easily described with the space-time equation. Thus, we ‘travel to the past’ when we lose information or devolve our form, as when we die, or when we go to a ‘relative past culture’ that has less information. And vice versa, we travel towards the relative future when we evolve and increase our information.

– Sp<=>O: e<=>o: The reproductive cycle/dimension, a mixed, internal and external, dual direction that repeats the Entropy and information of a being in another place of space/time and requires, therefore, the co-existence of the other 2 cycles, and dominate the mature age of each field. The reproductive cycle sometimes is a social, dual cycle (sexual reproduction) and sometimes is an internal, individual cycle. Yet in all cases is the fundamental cycle of existence, which ensures a certain degree of ‘fractal immortality’.

Since those cycles exist to preserve the being through the repetition= reproduction of its logic form in other place of the Universe. Thus species inform themselves to accumulate Entropy in order to reproduce their form and cheat its fractal nature, surviving in time by creating reproductive events that happen in all kind of entities. Reproduction becomes the why and will of the fractal Universe: all existential beings perform informative and energetic cycles transforming those 2 substances into replicas of their own morphologies.

– ∑ or ∑2: The being performs many of its existential cycles as external social cycles, integrated in a herd, S of parallel body cells or an informative network, ∑2 displayed in two scales (cells and axons), that inform, energize and reproduce together, simultaneously as a group. Since social behavior allows the being to increase its form in space as part of the whole. And so it is also essential for spatial survival, since a bigger form displays a stronger ST action and survives better than a small one. A fact that we formalize with the fractal symbols, ∑ & ∑2 the algebraic parameter that defines all åctions as a sum of smaller fractal action-reaction cycles: ∑Ei<=>∑2Tƒ. We thus talk of a series of cycles of social evolution, which create hierarchical scales of growing spatial size and organic complexity (max.Sp X Tƒ) that gather atoms into molecules, molecules into cells, cells into organisms and organisms into societies or disorders waves and organisms into fractal cells and particles. It is proper of all ages, studied by each science with different jargons. So in Physics we talk of the wave-particle duality that gathers quanta in particles and explodes them in waves and in Biology of networks that order cells into physiological systems, etc.

– The sum of all those cycles gives origin to the life cycle, the cycle of the total existence of the being, from its birth to its death; which according to the ternary principle is divided in 3 ages defined by the sequential dominance of the previous cycles, as the existential species or organism will perform more energetic cycles in its first youth horizon, (max.∑St), more reproductive cycles in its maturity, (max ∑ST) and it will accumulate more information in its old age, prior to extinction (max. ∑2Tƒ).

In all fractal, cyclical åctions can be subdivided in 3 ages:

– Max. Sp: When we ‘look’ to absorb visual information or we ‘eat’ to absorb Entropy, in the first age, in the beginning of the cycle, we maintain the eyes or the mouth opened, with max. Entropy=extension.

S=T: Then we close and open the mouth or the eyes, blinking and chewing in an intermediate alternating movement that reproduces the cycle many times.

– Max. Tƒ: Finally, we swallow, closing the mouth to ‘reform’ the food in the stomach into our proper ‘in-form-ation’ or we think with the brain, and extract the Max.Informative perception of the image, in the third, implosive, informative age of the cycle. So:

Existential cycle=S Entropy cycles + reproductive cycles+ informative cycles

Thus, the existential cycle, between birth and extinction, is the fractal sum, ∑, of its energetic, informative and reproductive cycles, often performed in social groups (hunting herds, waves, couples), in which Entropy and information mutate into each other (∑Sp<=>∑2Tƒ).

Recap: The Universe and any of its systems composed of multiple parts form a deterministic, interconnected whole of infinite harmonies between all its cellular cycles, chained by their symbiotic nature, such as the fastest informative cycles gather in ternary and decametric scales, connected to the frequency of the energetic cycles, which are connected to the frequency of reproductive cycles, which are connected to the frequency of the social cycles: I->Sp->R->∑.

Since an informative cycle is required for the entity to orientate itself towards a field of Entropy, and both Entropy and information together in great quantities/cycles are required to create a reproductive cycle; and finally multiple, self-similar reproductive entities are needed to create a super-organism. The same hierarchical chain happens if we observe those entities in space, such as the pixel of information is minimal, making informative systems smaller than bodies and bites of Entropy. And each of them is smaller than the total organism composed of both, which is smaller than the eusocial system of which the organism is a single cell.

The 7 type of Time cycles: space-time Actions.

The minimal unit of the Universe is an infinitesimal action. As such there is always a quanta of action in the limiting region, we shall call with the generic term of ‘Lorentzian region’ (as a reference to the similar region of the U±3 human light/mass space-time).

This quanta exists between the minimal So=U-1 lower minimal quanta of existence and the whole Universal existence or Universal Plane, U∆.

In that regard we can write: A(U∆)=So≈U-1.

That is, the minimal cyclical action of space-time, is always the infinitesimal of a certain whole. We call this infinitesimal a ‘cell’ in space or ‘action’ in time, product of a cyclical time-clock and a vital space enclosed by it.

In Physics åctions are measured by angular momentums, whereas h, the sum of 6 can be considered the minimal cycles of space-time of the quanta world.

But åctions are more varied than the simplest translation in space-time described by physicists. So often mathematical tools such as the Lagrangian and the Hamiltonian, to calculate åctions in terms of minimal energy expenditure, will not work. We thus need to do a qualitative description of åctions, when we deal with more complex, more detailed, closer observed, U∆<|2| planes.

topological, spatial or temporal, moving terms. An action thus can be studied as a whole world, but in terms of relative Universal planes of space-time, is equivalent to the minimal quanta that makes sense in such a plane. This limiting region between the existence and non-existence this ‘lorentzian border’ between the two scales of the Universe is the region of the minimal åctions.

In the light space-time Universe is h- the quanta of action, but in a more generic term it is any Minimal exi=ST, element of the system. And it can be seen as form or motion in ‘space’ or in time. So there are more åctions that the unique, motion-action studied by physicists.


Actions are naturally the products of space and time, which coming from an asymptotic, space-time hyperbolic geometry, are inverse functions, that remain constant within two ‘limits of infinitesimal existence:

S/T dynamic Cycles that move between the two poles of 0 x ∞, of the inverse functions, Sp<ST>Tƒ, never cease to exist, as motion is eternal and so we rewrite the principles of motion and conservation. As cyclical åctions never end but:

‘Iterative TimeSpace cyclical åctions, reproduce, transform and dissolve into different forms of energy and information ad infinitum’.

This new principle of active conservation of energy and information of lineal and cyclical momentum of motion and form, substitutes the principle of conservation of energy. And defines the smallest, relative infinitesimal constant quanta of the Universe as an action of energy and time: S x Tƒ =ST(a.e,i,u)

A cyclical action of space-time will be then the minimal unit of the Universe.

In the graph we can see the simplest functional for an action in any Ui of the Universe, where the t(y) and S(x) functions will remain constant between two relative limits the infinitesimal 1 and the total x.

If we represent the same graph as a hyperbolic wave, introducing the inverse function of -∆ values, we obtain the 3 space-time ages of the hyperbolic function of existence, around a relative stable, S=T point (value 1 in the previous graph, where S x T is maximised):


 The previous graph shapes any space-time cycle as a sum of infinitesimal åctions of 3 ‘species’, repetition (equal tangent), decrease (negative tangent) or increase (positive tangent) Those stationary points of maximal minimal and equal value define a hamiltonian complete worldcyce for an action, between its birth and extinction as a hyperbolic function of existence, Sp = K/Tƒ. 

The symmetries and rotations of that equation across the dualities and ternary space and time sequential orders create a ‘Group’ whose elements are the ‘Space-time’ Events we observe in the Universe:

∑ Sp x Tƒ = K (Sp->∞: Tƒ->o)

We call each of those Sp x Tƒ events performed by a number of quanta of Sp and bits of Tƒ, which are in its maximal probability, Sp=Tƒ : Se2=K, an action of the function of ‘existence’, Sp x Tƒ  K, an existential action. How many type of Sp x Tƒ existential åctions, exi=ST, combinations of energy and information that create a stable space-time membrane do happen? Infinite of course, but surprisingly enough they can all be classified in 5 åctions, the five vowels of the convoluted grammar and sequential sentences of the Universe.


Tug-of-war between the selfish and selfless arrows.

Now we come to a philosophical question that might seem trivial when considering the automated, topological paths of existence performed by the åctions of the simplest physical beings, but has an enormous importance when addressing the will and åctions of human beings – the ‘Maslow’ pyramid of hierarchies between the 4 wills of existence.

Maslow studied that pyramid between the needs of man as a biological being, yet since the 4 arrows coincide with the 4 drives of living beings it is easy to notice how those 4 arrows and hierarchy are common to all other species.

In detail study we can observe that hierarchy to be equal to the main chain of causality between the 4 arrows: we need first to perceive to locate ‘—motions’ to feed ourselves, and only when we have enough ‘—motions’ we can reproduce, being the arrow of social evolution, the least desired, because it also conflicts with the first arrow of perception from the self-centered perspective of our ‘Galilean Paradox’. And so the 4th arrow of ‘belonging’ to a complex, social organism is often imposed from outside, and yet it happens all the time as complex social organisms are stronger than individual cells and hence survive.

Thus we can consider that the strongest will of the pyramid is our self-centered perception of the Universe that makes us feel superior to all other beings – the center of reality, since ‘Every point of view measures reality from its local perspective, confusing the entire Universe with its informative, still mapping or ‘mind’ that makes him feel the center of the world, and ignore all other minds, languages and perspectives he doesn’t observe’.

We, as all entities of reality are indeed, self-centered, arrogant Galilean Paradoxes that think to be infinite when we are just an infinitesimal fractal point absorbing a very reduced quantity of the total in/form/ations of reality with a specific ‘rod of measure’ of space and time, which constructs that mapping but will differ from other rods of measure and ‘time speeds’ of processing information of all other species of reality. So humans measure/perceive light and use the rod of absolute light speed to measure space and the frequency of a second – the blink of an eye, the heart beat and the speed of human thought – to measure time.

Yet there might be other beings who measure space with gravitational rods we do not perceive, with atomic or molecular rods as we do with the sense of taste and smell, etc.

Even the use of an absolute light speed could be changed by a rod that would make the ‘frequency of information’ of light absolute and then change the speed of the light waves according to the amplitude of those waves and have an absolutely different mapping of reality, which will certainly make sense, bring new perspectives a seem the absolute universe to those who ‘measure’ reality in that manner.

All those reasons imply that a topological model of reality is absolutely relative: from an existential point of view, regardless of the importance humans ascribe to their ‘intelligence’=mind perception, to their point of view, and to their ego and Galilean Paradox that make us think that our nose is bigger than the Andromeda Galaxy, we are nothing on the objective sum of all things, and we have no privilege neither we are treated with special difference by the game. And so because, each and all points of view are ‘meaningless’ for the entire game, only those points of view that submit the Galilean, self-centered paradox to the 4th will of eusocial love, and sharing of ‘—motions’ and information with other members of the same species to create a bigger superorganism do survive on the long term.

It is the basic tension human beings experience in real life, between our selfish ego-driven desires and biological, individual will and the need to give part of those desires for the common good of our societies and ultimately of the human kind. Indeed, the most successful nation on Earth, China, is based on the submission of the individual will to the collective superorganism.

‘Unfortunately in the case of the human-kind, the natural, final arrow of eusocial evolution that should have converted the entire species into a global superorganism able to survive in balance with our ‘—motions’ body – Gaia –has failed, and we have not evolved from the social level of tribal history, divided in nations, created by hordes of the most selfish, self-centered, arrogant type of humans, the warrior who imposes his will because otherwise he can kill and eliminate from existence those who oppose them.

Indeed, regardless of the paraphernalia of ‘memes’, bits of cultural information that praise the job of the military, it is self-evident that the biggest risk of extinction of mankind is war and the evolution of weapons of mass-destruction, driven by the failure of egocentric tribes to evolve into a global humanity. And the Universe always punishes those failures with extinction.

Thus we can consider that the simplex arrows of time, informative perception and ‘—motions’ feeding, in which we also ignore the ‘existence’ of the victim consumed as ‘—motions’, after eliminating their tasteless ‘head of information’ are the selfish wills of existence. And the two complex arrows of reproduction, which implies to give for free ‘—motions’ and information to our offspring and social evolution, which implies to give up our simplex wills for the common good of the society are the selfless arrows. And there is a tension between both kinds of arrows in all systems of existence.

Recap. The fundamental will of all points of view is the Galilean, self-centered paradox or will of subjective perception. Yet the Universe favors species, whose individuals are selfless and offer their ‘—motions’ and information to reproduce a self-similar replica of themselves or to build complex super-organisms of which they are only a cell.


Bell BEST2

In the graph Exi=ST ±4 is the function of existence of systems made of vital space and temporal sciences. As such each of the St±4 Universal Planes is studied by a ‘science’ but all share the same law.

We call Stience, the study of a given Plane of Universals, and its specific |x Oi subspecies. As such there are the following great fields of science:

U∆±∞: It is the science of fractal space-times, explained in the first and 3rd lines of this web, as it considers the general, isomorphic laws which are common to the ∞ Planes of existence of the Universe.

U∆±3: it is the first Universal Plane of which humans can reach full knowledge, as it is the light space-time from where we obtain our ultimate energy and information.

U∆±2: it is the closer world from we obtain the direct energy and co-exist with other human beings, thus the nested superorganism/dual Plane of the Universe, which encases our own System and U∆±1 World:

U∆±1: the cellular, organic and social scales of the Human kind. Hence.

U+0: The I-centered human, individual scale.

All those scales are thus defined by the existence of similar Oi systems, which follow the same isomorphic laws of all Oi entities.

The isomorphisms of all those Oi, Non-Euclidean Non-Aristotelian points, thus can be interpreted as the proof of a pantheist Universe, the capacity of stiences to define any system and study it in depth, and the existence of an enormous order, a program in the Universe, derived of those isomorphic scales and the properties and actions of Oi points of existence.

As all points do perceive as O-bservers, a world, and move in that Absolute Space time world, in search of energy to reproduce its information and evolve socially into larger social scales till emerging in another Higher Universal plane.

This action-oriented function of existence of all beings, O-bserver->A-cceleration->E-nergy feedingàI-teration->Universals evolution, is the essence of the sequential order in time of the Universe.

We have expressed it as a topological symmetry of the 3 varieties of 2-manifolds: spheres, where a central observer controls the external membrane, feeding on energy and information; limbs and fields of planar, toroid motions that open and close in steps feeding on the moving energy of the remotest Universal planes; the social interaction, reproduction and evolution of systems, due to the hyperbolic, parallel, intermediate social body/waves of the systems.

We have studied those actions of space-time in its frequency as they design a birth to death, through 3 ages of maximal energy to maximal information, worldcycle, by the clear pattern of their frequency. We have expressed a Lagrangian of those actions which gives a zeros um integrated along the worldcycle of existence of the being.

But we can treat in a more loose way the whole process, as indeed a ‘function of existence’, which we call life, and we all subconsciously follow.

Indeed to be so conscious of the game of existence as we are fundamentally kills the fun and intensity of it

Stiences of existences do have therefore a higher philosophy of science expressed in this web, based in the nature of scalar space-time, its isomorphisms and inverse properties.

In that regard, the program of the Universe and its fundamental concepts that generate all realities can be resumed in some simple points:

  • From 1 comes 2: The Universe of space-time is the ultimate simplification of a world made of multiple actions of spatial Entropy and temporal information, performed by an infinite tapestry of complementary systems composed of both ‘formal motions’.
  • From 2 comes 4: There are 4 actions of Entropy and time, each one with an internal and external, negative or positive direction: The simplex actions of Entropy (external motion and internal feeding). The simplex actions of time (external cyclical motion, and internal perception). And their 2 complex combinations: SxT, or external ‘actions’ and internal reproductions’ and ∑SxT, the fractal, social repetition of those actions, which creates external herds that feed on Entropy along an external network or super-organisms structured with inner networks that deliver Entropy and information to all its cells.
  • All systems of the Universe are defined as ‘knots’ of those 4 type of actions, which are cyclical and discontinuous, as each being switches between them, trying to survive by feeding (E), perceiving (I), reproducing (SxT) and evolving socially ∑SxT. We define the central point of those knots as a P.O.V. or fractal Non-Euclidean point, the ‘aperceptive’ engine that orders the Universe. And there are infinite of them.
  • The outcome of this structure is a fractal Universe, in which knots of cyclical actions become herds and super organisms, in which the ‘informative network’ emerges again as a knot that controls the actions of the herd, packing it tightly as a new ‘cell-point’ of a new ‘fractal’ scale of the Universe.

We must understand the structure of those worlds.

The Universe has man as its center, perceived sandwiches around itself inward and outward, of larger wholes made of smaller beings with a higher, ∑-parameter of quanta of relative entropy and relative information.

Once a zero point is born in that environment it will start to en-act in iterative cycles its energy, information, outward and inward impulses and establish social and Darwinian events with other points. This birth of a point thus implies a series of events points do by merely existing as systems of 3 varieties of bidimensional topological membranes with motions

It is the program of the Universe, which we all do:


Repeat your actions of exi=stence.

Sp x Tƒ = ST±4

 A Universe of cyclical space-time actions.

The Fundamental ‘derived’ unit of the Universe, performed by any ‘space-time being’, with a space-time momentum is an action of existence: ∂a,e,I,o,u.

We use to define them, as usual in ∆ST, several acronyms, to encompass all its varieties: R, for reproduction, A, for action or Ra, for ‘reprod-actions’, and differentiate 5 fundamental actions with 5 vowels for memory reasons associated to 5 names: ∂a,e,I,o,u (acceleration, energy, information, offspring, universals). Beings perform them through a worldcycle, and so we can talk of a ‘program of existence’, sum of all those actions.

Each of those actions traces a space-time cycle of a being, and so we can write the generator equation of relational internal/external space-time, Sp x Tƒ=ST in terms of actions as: Sp x Tƒ = ∑Ra = ∑∂a,e,I,o,u= ∫∂a,e,I,o,u.

This equation can be quantitatively studied, specially in physical systems, where œ=Sp x Tƒ, the function of existence is similar to the concept of momentum, hence each action will be a derivative of momentum or ‘force’ and its integration along the existence of the physical system, its total energy, which will go through different ‘states’ and changes from birth to extinction, forming the worldcycle of the physical system.

Yet in more complex biological and sociological systems, it is far more telling a qualitative description of those actions, through its whys. So we talk of drives of existence, Maslow pyramids, even mystical concepts such as Chakras, physiological systems that organisms use to perform actions, and many other different elements according to the science we study. The concept of space-time actions becomes then the unifying principle of an enormous number of different jargons and equations of different sciences, unified by the simple fact that all the events of the Universe can be reduced to those 5 space-time actions.

 Thus we could give another definition of the whole saying that:
The Universe reproduces actions: Sp x Tƒ=∑Ra, actions of existence which combine ‘—motions’ and information, into present waves bodies of energy and information.

The minimal unit of the Universe is an action of space-time, a momentum of existence, and once we localize one we can study it at many levels.

Actions though can be considered cyclical, mostly produced by an ∆+1 entity as expression of its existential exchanges of energy and information with the surrounding Universe.

A function of existence, Sp x Tƒ = RU±4, maintains a rhythm of repetition of its ‘actions’, which create waves, radiations from a focus.  The webbing of those actions of existence form a world cycle, and the world cycle carries the 3±1 ages of space-time topologies. And so there is a chain order of a higher degree of detail, when we consider the different type of Ra, Reprod-actions; actions of existence, the being performs in its polar game between body and mind:

Actions of Existence, ∆AU±4 , OU±3, ∆EU±2; ∆i, ∆UU±1.

A certain being will have certain internal constants that relate its Sp and Tƒ, body-head, wave-particle dual systems through similar dimensions. Most often, ∑Sei-1 ≈ ∑Toi, that is the number of cells of body and head, wave and particle is similar. In other cases the product in time of Tƒ cycles and Sp population of those cycles in simultaneous space is the same: ∑i-1=∑i.

 We shall study in this key post, the meaning of parameters, variables, magnitudes, constants, conservation principles and laws of science in terms of ∆ST metric.

That is, from the 4 fundamental elements of the Generator Equation: U= ∑ W: Sp x Tƒ = Ra, the ‘world’, of space-time, which maintains a constant, balanced combination of its ‘—motions’ and cyclical motions, by means of its ‘reprod-active’ action, ‘Ra’, is the theme of this post and its sub-post.

What kind of ‘balances’, combinations and iterations, a world-system performs through its world cycle of existence, and how can we mathematically express the laws of balance between ‘—motions’ and form that create and freeze the varieties of beings we perceive in the Universe? What is the relationship between those Sp x Tƒ =Ra systems and its larger Space-time Plane, from where they are a relative fractal part, made to its image and likeness? Are both in a relationship of proportionality? What kind of laws rule the diversification of Sp x Tƒ = Ra systems? And so on…





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