I. Worldcycles. Its 5 dimensional motions
II. Epistemology: Its Non-Æ Mathematical and Logic formalism.
III. Physical systems: Energy equations.
IV. Biological systems: Life death cycles.
V. Social systems: The futures of history
Foreword: Existence is a worldcycle through 3 ∆±¡ planes of the fifth dimension.
In the graph we see that simple ‘metric equation’ of the fifth dimension, poised to revolve our understanding of all systems of Nature, once the ‘first phase of any new scientific paradigm’ (resistance of authority) crumbles by the sheer weight of facts explained by the new paradigm.
Now the importance of having a metric equation that leaves co-invariant a motion through its parameters of space-time, is that we can ‘travel’ across this dimension. Indeed, the mathematician Klein defined the existence of a dimension of space-time, when we could formulate a co-invariant equation left unchanged when we move through the space-time dimension. So how we travel through the fifth dimension? Obviously by growing in size in space through the process of reproduction and evolution, from an ∆-1 fast seed of information, emerging, as a larger whole with slower time clocks, in the organic level, which itself is part of a larger world, with slower ‘deep time’ geological and cultural cycles.
So Existence is indeed a travel through the fifth dimension, and the mere fact that all systems of nature exist through that world cycle (no longer a physical worldline in a 4D Universe as we have added a dimension of temporal ‘depth’), IS an absolute experimental proof of the existence of 5D:
In that sense the main difference when we widen our understanding of space-time with the metric equations of 5D is to be able to explain NOT only processes of time-change in a single planes of space-time, mostly due to locomotions, but process of change due to transformations in the in-form-ation of beings, related to life, organic structures and hence to solve some of the eternal existential questions about ‘existence’, which will be now defined easily as a ‘travel between 3 scales of the fifth dimension’.
Further on, applied those organic structures also to social and physical systems, whose organic properties have been denied in the case of physics or reduced to the individual human scale in the case of social super organisms of history, described in its homologic ‘cycle of existence’ in the next graphs, latter explained in great detail:
We can see in the first graph, how all physical, biological and social systems, follow the same ‘worldcycle’ of existence as a travel through 3 ∆±1 scales of the fifth dimension, as they are born in a seminal seed that emerges into an ∆º scale, where it will move decreasing its motion and increasing its information through a gaseous, young state of minimal information, through a reproductive, liquid state of balance into a 3rd age of maximal information, exploding back its form into motion, in the entropic process of death.
I. Worldcycles: Time is Cyclical.
In the graph, left side, ‘ðime’ clocks that measure the rhythms of reproduction=repetition and change=evolution of the Universe are always cyclical ‘r=evolutions’. This essential nature of reality, as a sum of repetitive, cyclical patterns of ðime cycles, underlies all the work of science, which finds laws for those repetitions. So science would not exist if ðime clocks were not cyclical, as there would not be any way to define ‘scientific laws’.
Yet astoundingly enough given the obviousness of this principle, the human species have lost in the past centuries his understand of cyclical ‘ðime’, as physicists, a profession that started with the study of ballistics and lineal trajectories of cannonballs, simplified those cycles into Lineal ðime explained with a single numerical parameter, an artifact of measure which facilitated the calculus of speeds, distances and translations in §pace, with the formula v=s/t, but reduced human knowledge of the cyclical nature of those clocks and its natural patterns, and the ‘dimension of information’, carried in the form and frequency of those cycles.
This became the more clearly with the discovery of Relativity, and the infinite clocks of ðime of the Universe…
Time cycles stores the information of the cosmos. Its three arrows: entropy, form and energy.
The next consequence that matters more is that cyclical time stores the information of the Universe in the form and frequency of its cycles, and for that reason cyclical, physical vortices, masses and charges, store the physical information of the Universe:
So ‘ðime bends §pace into masses’ said Einstein, who defined mass as an accelerated vortex of gravitation (equivalence principle). But not only masses and charges are Nature’s accelerated vortices of ðime-information. Biological and technological systems also store ‘information’ in the dimensions of its cyclical forms:
In the graph, the duality between moving time cycles and still information, captured by a mind, which observes those cycles and its inverse ‘topologies: lineal planes of moving vacuum or entropy and its human perception as expansive spatial distances.
So in systems sciences, the discipline born at the death of Einstein, at Macy’s congress, when the biggest minds of mankind came to define a Universe not only with entropic, lineal, destructive motions as Physicists do, but also with informative time cycles, we call those two essential ‘topologies (forms with motion)’ of the Universe, the arrows of ‘future time’, which define for each ‘being of the Universe’, its two choices of future:
- Either the system will increase, guided by its moving lineal fields/limbs, its ‘spatial entropy’, disordering its information and ultimately dying. Or:
- IT WILL increase its cyclical form, and related informative, intelligent, perceptive qualities, with its cyclical eyes-heads and particles. And this is the arrow of life, which constantly increases information.
- And finally the most beautiful proposition is to combine both, entropy and information, into body-waves that reproduce both, merging them in balance, ‘mens sana in corpore sanum’ (principle in biology); ‘complementarily field-particle-wave’ (principle in physics).
So actually the Universe is an organic game that constantly combines, limbs/fields of entropy, heads/particles of information, into reproductive body/waves of ‘conserved energy’ – in as much as reproduction conserves the system by replicating it.
In the graph from the bottom to the top we see the three ‘relative arrows of future-time’ of all systems: expansive, dying entropic devolving, relative past motions (from limbs to fields, from big-bangs to dying processes); and its inverse, relative future head/particles (which are the future as they guide the system), combined in reproductive body/waves.
NOW MATHEMATICIANS, know that those are the only three topologies of the Universe, which therefore ‘ensemble’ the three parts simultaneously to create ‘organisms’ in all scales of reality. So in the middle we see them ensemble things. So we talk of a generator equation of space-time organisms:
Sp (lineal spatial entropic limbs/fields)< st(hyperbolic, reproductive body-waves)>Tif (informative particle-heads)
This equation is the ‘fractal generator’ equation, at the center of the science of systems, which I introduced to the community at the fiftieth anniversary of the discipline at the Sonoma Congress. Yet the most beautiful realisation of those three arrows of time is above, schematically explained (a few paragraphs below showed for many systems): the cycle of life and death of all systems of reality, which start ‘naturally’ as a ‘simple’, entropic surface of maximal motion and minimal form (young state of the being) and guided by the constant increase of information in the Universe and all its systems, go through an age of reproductive balance, dominated by the body-wave (mature age) and finally enter a third age of excessive information (and minimal motion)…. And when all the motion is exhausted, the system just pure information, the system dies, explodes and devolves back the information into pure entropy (physical big-bangs, human deaths).
In the center we put a graph of taoism, as eastern cultures did fully understand this three arrows of time, as when taoists said: ‘from tao=time, comes yang-entropy, from entropy comes yin-information, which combine to create the infinite chi≈energy beings of the Universe’. No wonder here, as reality is always the same so intelligent humans always understood.
The simplification of those three arrows of time, today studied in mainstream science as ‘different things’ came as we said, with Galileo’s obsession with entropic motions in their study of weapons, which are entropic systems of metal that deliver lineal motion and disorder=kill the information of life. So physicists deformed by their worldly profession have been at pains ever since to fully grasp the interaction of the three arrows of time, all-pervading in the Universe.
So while physicists know that energy is all, and define it rightly as the integral of ‘momentum’, which is the product of an informative time vortex, M and an entropic lineal motion, V: e=1/2mv²; and they know energy repeats=conserves itself, they are still talking widely of entropy, as the only arrow of future time; while information the second arrow of time, is called in physics ‘negantropy’ the inverse of entropy, as if IT WERE JUST NOT THAT IMPORTANT. It is a hang-up of Galileo and their wordly profession of making weapons. Biologists and we, system theorists (cybernetics, computers, etc.) know perfectly information rules entropy and ultimately while entropy is the future, it is only the future death; which is an instant of time. Most of our existence is about information growth.
ALL WHAT exists is a space-time super organism made of 3 topologies adjacent in simultaneous space, defined logically by a single fractal generator of those 3 only topological varieties, $p: lineal limbs/potentials/territoriesO-§ƒ: cyclical particles-heads-informative class, for all social, biological and physical systems, tracing a world cycle of 3 time ages symmetric to those 3 ∆º spatial ‘physiological/topological/social networks’ made of ∆-1 cells/citizens/matter particles,in which each of the physiological networks of the system dominates the super organism: the limbic motion/potential system dominates the first age; the re=productive body-wave systems the second age and in the third age of information the head/particle/informative people-caste dominates the physical/biological or social system, exhausting selfishly the energy of the vital body-wave, and provoking its explosion back into entropy that erases the system, completing its zero-sum world cycle, restarted if it has generated a clone super organism in its offspring, reason why the Universe is a reproductive fractal of information – only those systems that reproduce its information survive and are still with us.
The Universe is a sum of a series of actions, ∆aeiou, of them, the first action is perception by an observer, ∆o, of a field of energy, ∆e, to which it will move, ∆a, in order to feed, ∆e and use that energy to reproduce its information, ∆i, iterating a form like itself, which will gather with clone forms to create a larger, ∆U universal social plane.
This is all what we should describe when we reduce to minimal cyclical space-time actions the total reality of any self. But the Devil is in the details. So as this simple ‘aeiou’ game repeats itself creates ever more complex perceptions, mappings of reality into space-forms and motions and forms ensemble into larger beings and smaller ones… forming a fractal structure. So in a second layer of complexity we would say:
The Universe is a fractal super organism of space-time, made of ∞ super organisms all made to its image and likeness. Each super organism IS MADE of 3 ∆º ternary physiological networks, made of smaller ∑∆-1 ‘atoms/cells/individuals’ that process motion, information and reproduce for the whole system, living in a larger ∆+1 world.
Thus super organisms have two fundamental elements: 3 co-3existing ±1 planes of cells/atoms/individuals gathering into physiological networks (together forming a species), living in a larger ∆+1 world: ∆§
But those super organisms constantly change its parameters of motion and form, increasing its information warping in a world cycle of time, the ‘3rd fundamental element’, which is therefore symmetric to those physiological networks, as the informative network dominates the other ones, increasingly ‘warping’ the being, either a physical system (so stars become black holes, galaxies quasars, matter solids) or a biological system (3rd age), which then returns back in an explosion that erases its energy (physical E<≈>M Big Bang, or biological death or war, in the 3 type of systems).
So we talk of a 3rd fundamental element, the worldtime cycle of the being, symmetric to its spatial super organism: S≈ð; WHICH add two new elements, the symmetry and the temporal world cycle.
But why a system increases its information till death? Because it does have a singularity or ego, mind, or linguistic mapping center, which ‘perceives’ the whole system as a whole and as a perception center stops the motion of the Universe into ‘linguistic mappings’, slowly ordering reality till there is no motion and time continues reversing the no-motion old form into an entropic explosion of death. Thus there is a fifth element, @-minds, the most difficult to accept scientifically because it is the ‘non-perceivable’ inner engine of reality. In wor(l)ds of Schopenhauer, the point that has the ‘will’ to exist and ‘represents’ reality within its self. This if the fifth element for the ‘minimal description of reality’: S@<≈>∆ð.
The Universe reproduces information, hence it is an organism.
And so the belief that the Universe is about reproducing information and hence it has organic properties, is the main tenant of General Systems sciences – the new philosophy of science that will substitute in the XXI century as a paradigm, the earlier simplex models of Newton and Galileo, of a Universe modelled as a simple machine, due to the obvious fact that they had improved quantitative measures by adopting instead of the human spatial eye of the artist, and the verbal three dimensions of time (past, present and future) of the ethic, social writer, the first metal-eye (telescopes today evolved into digital cameras) and metal-brain (clocks, today evolved into digital computers) to measure space and time – is simple:
Man NOT the machine should be again the measure of all things, because it is the most perfect organism we know of, and the Universe is a complex super organism, made of smaller super organisms, made to its image and likeness.
So we can model galaxies as ‘cells of the Universe’, with an informative ‘DNA’ black hole that catalyses the evolution of stars, the ‘mitochondria’, energetic organelles that reproduce atoms; enclosed by a halo of dark matter; and we can model societies as super organisms, with three physiological networks, the ‘blood-economic system’ with its ‘hormonal-financial orders’ of information that start the actions of the workers, reproducers of the goods of the system and an ‘informative-nervous system’, the cultural-political-legal system that SHOULD be on top since only primitive worm-like organisms, or ‘capitalist societies’ allowed the free reproduction of toxic goods (weapons that kill our bodies and hate media that kill our minds). And finally a ‘digestive, entropic system’ ab=used by the organism, feeding on life or Gaia, but in a sustainable way so the historic organisms can survive.
And of course, we can model machines as evolving organisms, which we put together as viruses in a cell, after making in three stages the three parts of any organism, the entropic limb/fields, the reproductive body-waves and the informative particle-heads; in the case of machines, by imitating the similar human organs, limbs, bodies and heads. And we can model company-mothers as ‘super organisms’ akin to ant-hills, with monetary/pheromonal orders, which not only re=produce machines but ‘adapt the human ecosystem, to its image and likeness’ establishing the networks of energy, information and entropic-motion (electric, internet, road systems) for them to roam. In the next graph, we show the image of those planetary super organisms, explained in depth in the web’s section on GST:
In the graph, the physiological networks of some super organisms of the Universe, which can be formalised all into a logic equation, we call the fractal generator of the organic Universe:
Spe (Spatial, past, entropic limbs/fields/territory) < st (present re=productive body waves-working class) > Tiƒ: temporal-informative particles/heads/informative class
Those three physiologic networks/classes/physical parts of ANY system of the Universe define the Universe indeed as a fractal organism of infinite smaller and bigger super organisms, in a game of russian dolls in which each of us is a ‘island-Universe’ within itself, made of smaller parts, and for that reason each of us is also a part, cell/citizen of a social super organism, nation, religion or civilisation, which we do NOT see as a whole, as our cells do NOT see us as a whole, but DO exist as such.
And so the key to understand all those super organisms, is to add to the arrow of entropy, lineal motion and death which those earlier physicists explored as the single arrow of time-future, the arrow of information, life and organic social evolution, without which we CANNOT understand the complex systems of the Universe. So the future has always two paths, a path of entropic growth and ultimately death, and a path of informative growth, reproduction and life. And it is the tenant of general systems that the arrow of life, eusocial love and organic evolution dominates the Universe for an almost infinite number of reasons.
Some of them:
- In the Universe the arrow of entropy dominates the vacuum space between galaxies, but in galaxies, which are vortices of gravitational in-form-ation towards the central black hole, gravitation, a force which is only attractive and in-forms parts into wholes dominate. And for that reason this planet is NOT ruled by entropy but by the evolution of organisms of information, as part of that vortex of growing information towards the central black hole.
- Most of the time of the Universe is spent in the life arrow, and for that reason death is an entropic explosion that lasts only a quanta of time. The hypothetic big-bang and the quasar death of a galaxy LASTS only a minimal quanta of time, called Planck time, 10ˆ-42seconds. Your death lasts only a second, the synchronised clock of your heart-body beat and mind-eye glimpse/thought. And you live increasing information in three ages, warping, wrinkling and memorising information the rest of your existence. Particles die as antiparticles, which again last a minimal quantum of time, reason why we see more particles even if there are as many particles living as antiparticles dying as we see many more living than corpses, since the total timespace occupied by the living and the particle = numbers in space x duration in time, is much bigger than the space-time (number x minimal duration in time) of corpses and particles.
- To make a whole departing from parts, simpler parts must come logically first, so wholes are the future of parts, and so the arrow of social evolution is the future. And indeed, since the hypothetical big-bang of a previous ‘dying’ system, the entire Universe or the entire galaxy has been growing in complexity and social evolution.
- So of the two futures, the future of organisation, evolution, information and life DOMINATES ALL SYSTEMS, and when we find a system which is involved with death, entropy, individual selfie, cellular lonely behaviour, IS because the system is dying… for another system to prey and evolve over it. And so the question we must ask about history is simple: are we dying for the metal earth to be born, are we being predated by machines, erased mentally by hate memes provided by mass-media informative machines, killed by entropic machines=weapons in our bodies; are our social organisations nations and governments rendered useless by the evolution of the parallel organisms of company-mothers of machines?
Now, here we shall just introduce the bare basis of all this, proving you in the most synoptic way why the Universe is a super organism, departing from the correction of the ‘error physicists’ committed due to their worldly profession of power, the use of entropic lineal weapons and clocks to measure time.
THE CREATION OF SOCIAL SUPERORGANISMS
Now what we shall state is vital for you to understand what is the purpose of life and history: because the Universe constantly reproduces information, the goal of the Universe is to create social super organisms, which in verbal terms translated into the arrow of social love for your species. So we can observe an absolute arrow of time, that of social evolution, which creates new wholes from parts, molecules from simpler atoms, cells from simpler molecules, then organisms, super organisms, planetary systems, galaxies, etc. Reality is NOT about death but about life.
The fifth dimension of scalar space-time coupled with the three relative arrows of time, past entropy, future information, and its present energetic combinations, are the ‘foundational principles’ of the organic models of the fractal Universe which tends to evolve groups into tighter herds and super organisms with higher ‘social forms’ in the scales of the fifth dimension – as they survive better into the future, making the scalar dimension the absolute dimension of time of the Universe. Since as Einstein put it, the ‘separation between the past, present and future is an illusion, given the fact that death ‘erases’ all the gains of information of any system of the Universe.
Indeed, all biological systems become a zero sum as the world cycle of informative life and entropic death erases them back to the past.
And all physical systems, do the same according to Einstein’s equation, e=mc²: which must be read in terms of the three arrows as:
Past entropic big bang ≤Present, constant space-time light wave≥ future mass vortex of information.
So only the absolute arrow of the fifth dimension is an arrow of future time as:
- Whole systems survive better in the future than parts.
- For a new scale of the fifth dimension to exist, parts must come first, so wholes are into the future of its parts
- A whole has more information, as it adds to that of its parts, the systems of the whole, so it is in the relative future of information.
Absolute timespace (5D) vs. relative timespace (worldcycles)
In the graph, absolute and relative timespace. Absolute timespace is the fifth dimension as wholes come after parts, evolution selects wholes and so the arrow of wholes dilates time adding ±scales, as each whole will be ‘grounded’ on a smaller part. I.e. a bigger whole will feed in entropic smaller beings, whales in plankton, galaxies in light space-time, Universes in dark entropy… Below the arrows of relative time, as all life-existences are zero-sums which return to its origin.
It is then obvious that in a single plane time is always a relative world cycle, and so it is when an ∆± cycle between seminal, organic and social existence goes up and down, but the stretching of ±i scales of the fifth dimension is the absolute arrow of time, which means that if the Universe has lasted as it seems in lineal time eons, it is also infinite in scales.
On the other hand, our cycles of life and death are the relative arrow of time, as we all go through the cycle and finally die and return to the nothingness of non-existence. So we talk of the three arrows of entropy, energy and information as the three arrows of relative time of a world cycle of existence between birth and extinction. And we talk of the absolute arrow of time of social evolution as the ‘fifth dimension’ of the scalar Universe that constantly expands its scales of social growth.
So much for absurd ideologies of history that deny the power of social love and the need of mankind to evolve together into a social super organism. They are military, dog-eat-dog false ideologies of DEATH AND ENTROPY, which deny the ultimate laws of the Unvierse. In the next graph we show the two ‘false and real pyramids’ of social behaviour, according to ‘capitalist, military idol-ogies’ of dog-eat-dog societies vs, humanist sciences of social evolution’:
So in those graphs above, about the ‘absolute arrow of social evolution, of time, of love’ and the relative arrows of ternary worldcycles of life and death, we resume the Universe. They are explained in great detail in the right side, on the section of general systems, the scientific r=evolution of philosophy of sciences and biology taken place in the XXI c:
The Universe is no longer modelled as a machine, a simplex version of a future robotic organism, but as an organism, and so are all sciences (upper right side graph), based in the laws of the ‘scalar fifth dimension’ of the Universe, made of ‘planes of space-time’ of different ‘size’ and ‘speed’ in its time clocks. I.e. You enclose inside as a super organism, the cellular scale made of smaller cells in spatial size, which run faster time clocks; and cells are made of smaller genetic molecules that run faster time clocks, and so on till reaching the scale of particles. Humanity then in the upper scale of religions, nations, civilisations and ultimately mankind as a super organism, developed in time as History, IS the scale above the individual. And we can study with the isomorphic=equal laws of all systems of Nature regardless of scale.
A simple equation: size in space x speed in time clocks = constant, coordinates them all. So we define a super organism as a ‘point of space, dilated in scales of time clocks’.
And viceversa, in the left side if we look from down upward, there should be also new planes of existence, which coordinate smaller points into larger wholes, through ‘physiological networks’, larger spatial network with slower time cycles, of three types, entropy networks that provide motion to the whole (limbs/fields), reproductive networks that repeat the system (body-waves), and informative networks, which process information and command it (particles-heads).
In the right lower side, those three networks as they evolve in time determine a cycle of existence of a system with a young age dominated by entropic field/limb motions, a mature age of body-wave reproduction and a third age of excessive information, which warps the system into a particle/head, followed by a death-entropic explosion (big-bang, death dissolution) that returns the system to the seminal seed which gave it birth, shown for several physical/biological an social systems in the next graph:
IN THE GRAPH, we see developed in greater detail with examples of all sciences and scales how all systems go through three ages of life and death, as history does, and how the INTELLIGENT SPECIES (VERY FEW) WILL TRY to maintain themselves in a balanced central point of motion and form, entropy and information NOT to evolve as we do in this planet so much lethal information (weapons, machines, robots) that at the end of the day we will suffer an entropic explosion of death (war that will kill us all).
Indeed, the fundamental law of survival in a worlcycle of existence of a system, is the law of balance (golden mean in buddhist-taoist religions), which allow the system to be IMMORTAL when it is NOT so complex and informative that the arrow of information brings it into a final entropic death age too soon.
So this law applies to all biological, social and physical systems.
The world cycle and its ages of ‘birth as a seed of information’ that reproduces, emerges into a larger whole and starts to ‘run’ through its three ages of entropy-energy-information to finally die in an explosion of entropy, IS the key equation of timespace for the XXI century. It substitutes in physics the previous simpler worldlines of Einstein’s 4D, happening in a single plane.
Since the world cycle is more complex and cyclical it means it implies the organisation of the being from seminal/atomic states, into whole organic systems, in a scale of reality, larger than the smaller ∆-1 parts. And finally the integration of the ∆º system into a social world. So you are born as a seed of a cell of information, emerge as a multicellular organism and become part of a larger, ∆+1 world or ecosystem. So happens with matter, born as a plasma of ions, organised into states of matter, part of a larger Organic whole.
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.
∆. SUPŒRGANISMS WORLDCYCLES ACROSS SCALES
IN THE GRAPH, the world cycle of multiple ∆i species, classified on the sequential 0 to 9 discontinuous planes perceived by humans, across the ∆±4 universe, being our perceptive limits its invisible dark entropy and dark matter. In all of them the same Ðisomorphic laws describe vital super organisms, tracing worldcycles through its generator events: ∑Γ@.
The symbolism represents the synoptic expression of all ternary, generated •5D beings.
To notice that in this simplest description of the whole, ∑ Γ•, the i-nfrmative index of scales is not needed as ALL @ minds do perform the same program of 5 actions of exi:st¡ence.
3 AGES AND HORIZONS OF SPECIES.
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’.
We thus have to upgrade our logic of existence, and make it cyclical to reflect those worldcycles, subdivided in different temporal structures. The elements and equations that describe those worldcycles thus will be called Non-Aristotelian, Non-Euclidean logic as their causal structure is cyclical, that is A causes B causes A, and its components are ‘fractal non-euclidean points’, which grow in size and let ∞ parallels of energy and information cross them to form its topological networks and super organisms.
Let us then express in the simplest terms those ages of life of a system through non-æ logic.
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:
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 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.
i±>|2|: PHYSICAL SYSTEMS Energy ωorldcycles
Abstract: We have come to the final element of reality that encompasses them all, the energy world cycle.
Symbols. As a world cycle represents the whole in its time, full realisation from birth to extinction, we shall use the same symbol than for all the ages of the being, Ω, but in minimalist form, ω, the last letter of the greek alphabet. A world cycle indeed is both the alpha and omega, yet the alpha is omega, because time is cyclical. It is indeed the sum of all the cycles of the being, between birth and extinction. As it is measured in each instant of existence by the volume of energy of the being, such as if we know the function of existence, to know at a certain time its energy will give us the point of the world cycle in which the being exists, we shall change the symbol for energy, to ∃, the symbol for present existence in logic thought. So e will be the symbol of entropy: e x i = st, ∫e x i = ∃ω
As energy is precisely the integral of momenta and actions of entropy and information of any system of reality. So the sum of those actions finally web not a worldline but a world cycle, which overwhelmingly tends to be conservative, in as much as an other reproduced world cycle takes place, but in extreme detail unless a reproductive cycle has happened derived of the maximal point of the curve, during the mature age of the cycle, ω: e xi , the cycle can be not-conservative.
This must be considered we see cycles as closed cycles when they are more like waves, with a distribution which in its peak reproduces a new wave, but in any case world cycles are best measured by energy in the simplest physical systems and when we consider more complex world cycles, energy still stands in its ‘derivative’, momentum, as the best parameter to indicate the phase of the world cycle in which the being exists, such as Max. Energy will be the point of maturity, as a simple mathematical rule shows: Max. e x i (e=i).
That is a product is maximal when both numbers which ad a value, are equal to each other: 5 x 5 > 6 x 4…
So the maximal ‘instantaneous momentum’ of a being happens in its classic age of the world cycle, while its total integral will give us a zero value, origin of all the fundamental equations of energy in physics (Hamiltonians, least time principle and lagrangians).
Yet we are expanding those concepts, from present mathematical momentum, to existential momentum and top predator force, reached in the classic age of the world cycle, and from an energetic ‘measurable quantitatively’ worldcycle of physics to the life and death world cycle of any super organism. So we are not going to be pretentious and ‘reduce’ a human word cycle to a hamiltonian. We are NOT gurus and dogmatic religious physicists, but philosophers of sciences, and once the concepts are clarified, it turns out quite obviously that in social sciences, art will represent better the worldcycle of a civilisation, literature the worldcycle of a human being, and obviously genetics that of a cell, evolution that of a species and so on – languages which are not specifically mathematical but code the 3±∆º elements of the being with different jargons.
And so ∃ω, will be our preferred symbol, for the world cycle of energy, within the routine of GST, which uses similar but not exactly equal to the common symbols of ‘science’: stience, ωorldcycle, supœrganism, ∏ime, §pace, ∃nergy, etc.
On the other hand, the Spe, big-bang arrow of entropy is one of death and dissolution of information in any scale:
In 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.
Finally the arrow of evolution of information is a vortex of creation of a singularity mind that co-exists across several scales of the 5th dimension
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.
If past-entropy and future information converge in present momentum: m x v and the integral of momentum is the conserved energy cycle we can easily translate for the simplest space-time world cycles – those of motion of physical systems, the laws of the larger system of motions of ‘information=time’ of the Universe.
In a more mathematical form, a world cycle is the sum of all the actions a system realise during its cycles of existence.
And so it is closely related to the Hamiltonians and Lagrangians of Mathematical Physics:
∫ ∑ (e x i) ds dt
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.
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:
The 3 motions of time IN PHYSICS.
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:
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.
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 CONSERVATION OF ENERGY IN WORLDCYCLES
Tƒ<|s: cyclic and lineal time/forms.
Since all beings occupy a certain organic space and last a certain time in its motions, we define all beings as space-time beings, which switch and beat between both states.In the graph, Saturn’s rings are not a mathematical plane made of abstract points, despite their continuous appearance. When we look at them in detail they become in fact quantic planetoids in movement, tracing orbital cycles around the planet. They illustrate the fundamental paradox of perception: Any piece of time/space seems continuous, but when we analyze it in detail, it becomes discontinuous, made of space quanta and time clocks (charges and masses in physical space, circadian cycles in biological systems) moving in cyclical paths.
The key to the understanding of space or lineal speed, one of the two primary substances of the Universe, and its counterpart, time clocks of cyclical form, is the solution of one of the longest disputes of Physics and Philosophy of Science regarding the nature of space and time: are they continuous as Einstein said or discontinuous as quantic Physics and Biology pretend?
Of course physicists measure those different time cycles with the concept of frequency of a wave or a turning wheel, the inverse of time duration:
Often associated to a wave length, or wheel perimeter: ƒ x λ= S, which measured the distance of a wave or wheel translation, uncoiled ƒ times. But the details of those cycles got lost in the process of simplifying them.
The mind perceives with little detail, most motions of large or tiny objects, and so instead of distinguishing its quanta in motion, it distinguishes just the trace of the motions as distances. So we say that space is enlarging its distance between galaxies or that galaxies move at great speeds. We thus establish a dual concept:
- Lineal fixed form, that we write with a single symbol, S: |- Space.
- And Lineal motion, Lineal Time, T. And so the study of both together, is what we call mechanics, in which time is indeed a parameter of space, but only Lineal time, V=S/t, used to measure distances in motion.
On the other hand, cyclical form, in-form-ation, curved in different dimensions, is the other ‘fundamental shape of space’, which seen in motion gives birth to the other parameter of reality, cyclical clocks of Time: Tƒ=O-Times ≈ Form; Information.
We shall reserve the names Times, to such cyclical clock motions and Information to its fixed spatial forms. While ‘Time’, T will be the lineal variety and ‘Space’, its lineal dimension. So departing from those elements, the Universe starts its game which is made of ‘beats’ that transform form into motion, lines into cycles. And since lines are the shortest distance, fastest motion, it becomes the most evident motion; while cycles have the minimal perimeter and stay turning around a point, so they become the most evident forms. Hence there is a relationship between: Line ≈ motion and Cycle ≈ form, which shows in the incapacity of most beings to define cyclical motions, often seeing instead particles or points, when observing rotary systems (such is the case of the Earth).
In the same manner we perceive Time Clocks with fast motions (I.e. a turning wheel) as cyclical form and large rotary systems with slow motions as solid spherical or disk-like forms. So Galileo said e pur si muove, e pur no muove, since he knew the Earth moved rotating around itself and the sun but we saw it fixed. And so we call this paradox, the Paradox of Galileo, which started modern science, though never was properly explained and equal, time clocks with cyclical motions, T and ‘cyclical Forms’: O.
And we use the symbol Tƒ, to express the similarity of both concepts: Form ≈ Clock of Time ≈ Tƒ, which we measure with the inverse function of Lineal Time Duration, that is, with the frequency or speed of those cycles which carries in its form and speed the information of the Universe. This allow us to define quantitatively one of the basic transformations of our O-|, T-S dual parameters:
Tƒ=1/T=Cyclical motion is the inverse of lineal motion.
And so we deduce also that the parameters of spatial distances and circular distances are also inverse.
Yet Form and in-form-ation – a form carried through the displacement of a wave are also related. Information is a cyclical form with a bit of ‘lineal motion’ added’.
On the other hand, Lineal SpaceTime and energy, which is a form moving in lineal fashion are also related. So we write: Space=Lineal Time Speed≈ Kinetic Energy.
Time and Space are not a continuum as Einstein thought. But they can be treated as such in a general vision, which however is adequate only to study systems, larger than those of human beings, such as cosmic space, but fail to give us the necessary details to analyze smaller world us those of quantum physics. Thus both concepts have a quantity of truth, but the higher truth=information is in the detailed analysis which makes:
Absolute space-distances= quanta of lineal energy motion.
Absolute Time= Sum of infinite cyclical clocks of time which carry the information of the Universe in the form and frequency of its cycles.
Once this is understood, we will have given an enormous stride in the correct direction to understand ‘fractal, scalar space-times’, the formalism that better explains the fact we are all organic systems made of ‘vital space=energies and cycles of time=life-death world cycles.
There are in the Universe infinite clocks, forms of reality that trace discontinuous, temporal cycles; and infinite pieces of spatial energy, quantic spaces, divided by membranes, borders and discontinuities, both in organic and physical entities.
The quantic nature of space and time today accumulates enough proves, despite the respect that Einstein’s work still causes, as to be the cover of prestigious scientific magazines. And it will revolution all disciplines of science, since all of them use those 2 parameters to explain their species and laws. It also implies the equality between energy and space on one hand, and between time cycles and bits of information on the other. The only real difference between those concepts was the pretended continuity of time and space Vs. the proved discontinuity of information and energy. Thus now we talk of 2 concepts that suffice to explain reality:
– The space and energy of any quantic being, homologous concepts, both in Biology (where we talk of organic space) and in Physics (where the vacuum is considered a form of ‘dark energy’).
– And the bits of information or temporal, genetic memories and cycles of any being. Since information is stored in memorial patterns that accumulate over time and it is processed in a cyclical manner, as time is. For example, we measure a computer’s informative capacity in MHz, or quantity of temporal cycles of information the computer processes each second.
The 2 fundamental substances or states of reality are thus spatial energy and temporal information that we will call, when properly combined, temporal energy.
We are made of energy and time, which our mind often perceives as fixed space and fixed information, but are truly organic, moving forms.
THIS IS THE ESSENCE OF ALL PHYSICAL SCIENCES: ‘GALILEAN AND EINSTEINIAN RELATIVITY’, which now becomes fully expressed.
Accordingly I called this expansion of modern physics, Absolute Relativity. Since the ultimate teaching of Einstein’s discoveries was to validate Leibniz: we exist in a Universe of infinite, relative clocks of time, each of them breaking space into an inner and outer region of space (first law of topology, knot theory) and relative scales of reality, none of which is when we normalize their frequency of time cycles and size of its steps, more important than other…
Absolute Relativity essentially completes the insights of Leibniz and Einstein on the multiple nature of time clocks that run to different speeds. And its consequences and discoveries are bond to r=evolve the way we perceive the meaning of time itself.
And so the analysis of the relationship between fixed space and ‘moving energy’ and between cycles of time and ‘information’ is essential to understand what we are made of, and how we perceive those 2 elements in ourselves:
All this said another approach to the dualities of the universe is to consider that Time=change=motion is all, while space is a ‘still’ present picture of time:
In the graph, physicists and humans in general ‘Spe’ space, but have a surprising difficulty to understand ‘the causal flow of time’, by the very nature of its senses, dominated by the I=eye mind, and those of instrumental science, (which starts its experimental method by taking ‘stills’ of time, that portray space with telescopes, accelerators and microscopes). So they consider that time is the 4th dimension of space, as earlier scientists thought that the Sun was the satellite of the Earth, despite the obvious supremacy of the sun… of time over space, which MUST BE defined as a still ‘cut’ or ‘instant of present’, ∂t, in the total flow of times.
So we write the fundamental equation of the Universe in a new derivative form:
S = ∂ t -> ∫s = t
… from where we shall derive through logic, mathematical reasoning all other equations.
While relativity tell us that we can make sense of both models as both the space and time, earth and sun’s relative different points of view make sense from the subjective point of view of the observer (so from the Earth’s point of view, the sun do seem to move around us, and from an spatial point of view, we can make time, taking only an instant, a parameter of space, ∂t=∂s/v, the higher truth is according to Ockam’s principle
For a deep analysis at mathematical level of time and space, with the quantitative laws of physics, Space must be considered a slice of present Time in each infinitesimal quanta of ‘perception’ of it, dt. Hence we perceive space as ‘still’ and time as ‘motion’. This stop-space and go-time duality is at the core of the Universe. It is also the mechanism by which the mind can reduce the ‘total information of the Universe’ to fit it in its relative infinitesimal ‘0-point:
O-Mind x ∞ Universe = Constant mapping of reality.
It is thus necessary to go beyond the naive realism of physicists to grasp an objective reality beyond the ‘still mappings’ of the mind and its ‘stop-go’, perception of information, similar in an inverse fashion to the stop-go way we perceive film in continuous motion. In this inverse relationship a Universe made of different type of ‘time-motions’ become stopped in mind stills, which then change slowly as those film photograms from ‘infinitesimal to infinitesimal of time’.
Tim is then motion, as opposed to space, which is a fixed form, a moment of the time flow seen in stillness, often just in the mind of the perceiver.
The universe conserves ‘time’, motion, not ‘space’, the stopping maya of the mind – ‘space’ stops the flows of time, and so the mind means nothing, to the Universe.
Human brains cannot fit all the information of the Universe.
So infinitesimal brains-monads, reduce dimensions, eliminate motion and ‘depth’ so they can fit 5D into the infinitesimal brain’s still spatial mapping, aka O-mind x ∞ universe, in only 2 D….
Our mind thus has lost 3 direct experienced dimensions of reality, depth (we put together 2D from 2 eyes to create the illusion of depth), motion, 4D in that present slice of reality we see, and then the long time dimensions of past to future and future to past we call 5D.
It simple eliminates all that to create a spatial, still mapping of reality, and for that purpose it considers a certain point, normally that of the ego, in the past the earth, the sun, now the galaxy space-time or ‘light space-time’, since Einstein.
But this process of stopping reality, measuring it with a mind and establishing an scaffolding of distorted knowledge is not ALL and by denying some basic dimensions (5D past to future future to past flows) it reduces the human mind to a short of pictorial, spatial still planiland without the dimension of long time.
The result is a simplified, still, dead reality with no flow. Minds=scholars ‘kill’ reality into abstract thoughts and then do kill reality with their actions to ‘project’ what they have in their imagination.
But Time motion never ceases. This was perhaps the biggest discovery of a fractal theorist, Mehaute, which realised that when energy ends, and a system freezes it starts to create information, the inverse arrow – crystallises, keeps ultimately moving time in the inverse dimension of form, spatial, static formal creation.
The beat of time thus might change its direction, its harmonic tones but will never stop
Scientists do NOT understand the concept of the eternity of time, and hence of the Universe and all its systems.
Since if time is motion and motion never stops but transforms back and forth between lineal motions and cyclical motions, then it never dies. But unfortunately after Galileo made time lineal and ‘cyclical time’ became something else, the engine of reality, the beat between the two poles of all systems, disappeared as the engine of change and all what speculative physics and numbers…
Thus today Physicists don’t have knowledge of the first principles:
- An immortal Universe (if it had finite duration, T, probability that we exist in that finite time, since non-existence would be infinite (T-existence/∞ non-existence) = 0, ergo as we do exist existence of time motions is infinite.
- So what happens is that |-time, lineal momentum and O-time angular momentum constantly transform into each other, and the variations are enormous. As we move into more complex combinations, then is easier to see that conversation in the ‘time’ element of any 4 vector (which is the best part of Einstein, or rather minkoski as you can use it for any ‘time parameters’). So kinetic energy-mass (lineal cyclical time in the cosmic scale also conserves, energy charge, is conserved, and so on…
in the Universe there are many different motions, all local and so we cannot hold truth the concept of a single time-clock as Newton did. Einstein discovered this fact in relativity, when he said (at the time): i am the only physicists that seem to think clocks tic at different speeds in different parts of the Universe. And yet scientists still use the concept of an absolute total space-time for the entire Universe. The number of errors derived of this conception are many.
For example, physicists ‘expand local measures’ to infinity, and bring from local proofs global theories of the Universe, which are by no means certain.
The graphs shows the case of the Cosmic big-bang, which expands the local measure of expanding space between galaxy to the whole Universe, as absolute space-time means a continuous global expansion. Yet in relational, fractal space-time, where space continuity is a mirage of the mind, this perpendicular expansion on the y-axis of the black hole, which expands space-time (distance-motion) by shooting through its polar Kerr axis, dark energy, radiation and matter, is balanced by the CONTRACTION of space in the vortex-plane of the galaxy, where stars contract space-time into mass and curved gravitation.
Another key related case of global expansion is the concept of a single ‘long-term’ time arrow called entropy that expands a phenomena found only in molecular, thermodynamic reactions (molecular entropy) to the whole Universe WITHOUT realising that the expansive entropy of lineal electromagnetic forces is balanced by the implosive, in-formative arrow of gravitational forces. Those 2 simple examples on 2 ‘sacred dogmas’ of physics show how important is the concepts of space and time to fully grasp the foundations of the Universe and as we shall see of all sciences.
Further on, the idea that the Universe will come to a halt comes from another mind paradox: we see all in still, so we think of masses as substance, but they are pure accelerated motion, according to Einstein’s principle of equivalence between gravitational forces and acceleration.
And when we observe the quantum world we do see masses as vortices of accelerated motion. So again, if time=motion is the ultimate substance of the Universe and stillness is a mirage of our perception of reality in small ‘derivatives’ of time (which is how physicists measure space-time: ∂v=∂s/∂t), the concept of a dying Universe would be another mirage of the mind’s ‘spaces’. As motion never ends, merely changes from its rotary, angular momentums or time clocks to its lineal momentums or lineal motion. And indeed, both angular momentum and lineal momentum are conserved quantities of an immortal universe where the fundamental equation is that duality of time motions (and its duality of still, perceived forms in space):
O-cyclical clocks of time (angular momentum) <=> |-Lineal time durations (lineal inertia)
Which in the case of physical systems explains, for example, the meaning of E=Mc2, where a cyclical vortex of time, a mass becomes a lineal motion in space, an energy, and vice versa.
And this duality of time motions, lineal inertia and cyclical inertia, which combine into all the possible relative curves of reality is the next fact we must correct since it is the next big error brought about by our founding fathers, in this case Galileo.
We thus define a dual flow of time, and space as a still picture of time. And since time is not commutative, that is the future and the past are different flows, we do have now a way to define them: an inward, accelerated vortex of time which increases the frequency and hence the form, the information of its motion, is an arrow of future; and it is inverse to a decelerating, expanding uncoiling time clock, which is an arrow of entropic past. And in the middle, a steady state, indistinguishable inertial lineal distance-motion is space.
What is then more important, time or space? Obviously Time, even if in our civilisation, based in ‘images’, still images of spatial ‘states’ are more important, as ‘time cannot be seen’ in its inverse flows of past entropy and future information.
Hence the growing indifference in our visual world towards the meaning of time, its long arrow of informative evolution, the meaning of death and its inverse arrow of devolution, the purpose of casual logic, and all related themes, of which we cannot get shallow pictures or use differential, still, present instant equations.
We humans used to understand the world logically with temporal verbs and words and then only made pictures of its secondary details.
So classic definitions of Time started as logic and causal propositions. But now this depth of knowledge is increasingly gone.
Time in that sense was defined always as ‘change’, or rather the ‘perception of change’. So when some place to which we return, hasn’t changed we say it ‘seems as if time has not passed’. Change then according to Aristotle is internal change studied by biology either in evolution or in the life-death cycle or external change, called translation in space, motion. There is also social change and then there is the mental perception of change. So we talk of 4 temporal ‘changes-motions’, which define the 4 fundamental disciplines of science.
On the other hand space was perceived as stillness, the opposite of temporal motion. And the science of Space geometry was the study of still, geometrical forms.
Then the equations used to describe space become also still moments. And as such space can be considered an instant, a slice of the flow of time, like a still photography of the Universe around us. And indeed, physicists still define space with derivatives, which are instants in time, pictures of the ‘speeds and time motions’ of the Universe: ∂s=∂v∂t, or the equivalent instantaneous measures of light-space or curved gravitation, in Einstein’s metrics.
Those are thus the initial definitions, corroborated by the equations of physics (latter we shall see that relativity merely elaborated on the earlier Galilean equations).
But the problem today is that those simple, all-revealing concepts (time as motion, of which there are at least 2 types, informative, cyclical forms under topological internal change or BIOLOGICAL CHANGE, and energetic, external lineal, moving change or PHYSICAL change), have not been fully understood and/or properly formalised, since the artillery master liquidated cyclical motion and Aristotle became the ‘bete noir’ of physicists.
Yet even mathematics is founded in logic, the language of time. So we do start with a logical, verbal, temporal, causal understanding of space and time. And such logic though brings a clear definition:
If space is a still picture of time, which we constantly perceive, space is ‘present’, and since it seems to repeat itself, it is a dynamic, reproductive, iterative present.
On the other hand time motion is change with a clear tendency to cyclical inward motions. And so biological change, which last longer in time, is related to the increase of form, of information, that increases in evolution and through the life ages till time reaches an old, wrinkled, inward informative age.
Thus we arrive to a rather simple, obvious fact – time has 3 dimensions of motion:
Past-energy-entropy-disorder< present-repetition (space) > future-information-order.
Philosophically and physically this equation of the 3 motions of time is essential. It defines the fact that we see present still space despite being all a flow of time (since we do NOT see past and future). But it also implies that past, present and future are intimately connected by causal, logic time laws we shall unveil; since time cycles repeat themselves, and so in this repetitive causal logic we find the origin of the predictive power of scientific equations.
As Einstein put it, the separation between past, present and future is an illusion, as time cycles repeat through present moments and that is the origin of ALL the regularities of the universe and the existence of scientific laws.
It also implies that the ‘physicists’, only future (entropy) is just 1/3rd of the equation of time motions.
As all systems grow in information with age, our civilisation, the life beings, the galaxy falling into the formative black hole, technology, etc. And all systems try to iterate its space-time to reach a relative immortality, from quarks and electrons, the simplest time cycles, which decouple into new quarks and electrons, to galaxies which give birth through black hole jet emission to smaller irregular galaxies, ALL MOVES, ALL ITERATES, ALL GROWS ITS INFORMATION, and so we might say all is alive, as those are properties that define life. And this is another huge philosophical change: a pantheist Universe.
But are we right, wouldn’t time be an illusion and spatial geometry more powerful. Not, and this is proved linguistically:
Since logic, the language of time, as Frege, Boole and modern computers show is the mother of mathematics, the ‘causal reason’ of its theorems, since time is more important than space, a mere ‘present slice’ of the total flow of time that seems to be ‘still’ when we take a ‘still present’ picture of it – what we call time.
Thus we cannot shun off as physicists do the logic principles of sequential time and its arrows of ‘information’ towards a future of social organisms, to complete Physicists single arrow of time. Thus to stress this fact of reason, we shall name equations and paragraphs with Greek Letters, latter explained in more detail.
Relational space-time, which we shall call ‘fractal space-time’ was in Leibniz’s mind an astounding intuitive truth, which put in motion with his concepts of analysis and ‘non-euclidean points’ which have breath, size. I have dedicated my entire life of deep thought to convert those intuitions in an all encompassing theory which explains all ‘existences’ as entities made of relational space-time cycles.
It is an amazingly, beautiful instrument, and we have its language – the 3 branches of mathematics that correspond to the fractal structure (analysis) of space (geometry) and time (algebra); albeit evolved further to define all the postulates of fractal non-euclidean points and all the ‘different motions of time’, and its causal logic (adding the arrow of the 5th dimension, of increasing form and information to the arrow of entropy, and combining both, in present systems).
Thus if physicists demoted time into a mere parameter of space, its parts, we put things back straight to where they belong making space a mere dimension of time.
And as in the case of Copernicus which put back straight the Earth as a mere satellite of the Sun, the simplification and streamlining that ensued will mean a r=evolution of thought, able to explain all the whys and unify all the space-time beings of the universe and its ‘st¡’entific laws.
Fractal, still, ‘present’ spaces as Time differentials: ∂t.
The simplest formulae of analysis and commonest equation of physics is a partial differential equation that portraits a still moment of time, aggregated across space, to form a still picture of the flow of time, a ‘spatial form’.
This stop and go, form and motion duality, is the fundamental law of the Universe; hence the hyper-abundance of its mathematical tools in science – differential equations that measure a still ‘parameter’ on an instant of time.
Further on, still spaces are essential to the mind structure – as it is mostly the mind what stops motion into form to perceive. Hence the importance of ‘relative frames of reference’ in the structure of mathematical physics, and ‘gauging theories’ in particle physics, as all particles seem to ‘gauge’ distances with other particles as they move and most do the stop and go stop and go rhythm.
Further on derivatives of time, still spaces surprise us because of its beauty revealing in the simultaneity of its forms surprising intelligence and organisation. We could think of a chaotic non-causal Universe if it was all motion, as it is more difficult to find patterns in motions. But the stop and go rhythm shows the essential duality of al realities between ‘force-motion and ‘form-peception’. As most of the analysis of science consists in respond to the simple question: where it comes this intelligence of the ‘stills’ of time, its spaces?
This is the theme of this post: how still spaces are created by the freezing of a flow of time motions, how they reveal the network, spatial, mathematical, social numerical geometric intelligence of the Universe, and what all this means.
How spaces be=come, as ∂till instants of a flow of Time.
In that regard, the Ethiopian have a saying: the eyes see the present, the words see the past. Intuitively they understand the fundamental asymmetry of the Universe between present space states, perceived simultaneously through a ‘fast force’ or rod of measure (light space-time in the human case) and the non-simultaneous dimension of time from past to future and future to past, peered in human languages, with verbal times.
As such space has two fundamental meanings: to be a still, present slice of the flows of time; and related to that property, to be lineal, when we consider an ‘interval of space’, as opposed to cyclical time, of which it is a smaller part.
This geometric property is more difficult to understand. But we have to ways to explain why space is lineal and still:
On one hand as a slice of time, space is smaller, and geometry tells us that according to a non-intuitive rule of ‘pan geometry’ (the non-euclidean, larger version of it), lines are small steps, infinitesimal parts of longer curves, as all open trajectories are slices of a cyclical time closed motion.
On the other hand, cyclical motions accelerate inwards, under the generic law of all vortices/clocks of time, Vo x Ro = K (2-manifold vortex). That is the product of the S and T parameters, Vt and Rs, gives us a constant bidimensional manifold. Accelerated vortices thus are in relative terms moving faster than the opposite motion, a lineal motion, which is by definition an expansive, space-creating, slowing down explosion (here we need not to bring mathematical demonstrations. We all know that explosions decelerate as they expand with time, in an inverse fashion to the distance).
Thus cyclical motions are faster than lineal motions and hence they are proper of ‘time flows’ while lineal motions are proper of still space.
|-Space and O-Time thus would be the two relative, pure extremes of realty; and in between we shall find, Ø energy and information, which is the combined form-motion that the Universe also conserves.
Space is thus lineal, still form in its purest sense; a slice of a time function; a decelerating motion, a lineal motion (also a time concept in as much as it has motion) and ultimately ‘something’ we do not perceive in its purest form merely as distance (as a pure line has no form), contradictory as all concepts of the Universe when understood in depth…
The principles of conservation of lineal and angular momentum, energy and information: space and time isomorphism and isotropy.
How this applies to physics? In general if we call a spatial quanta a unit of lineal momentum of each scale and a time cycle a unit of angular momentum, the metric merely means the principle of conservation of lineal and angular momentum.
But even more interesting is the process which allows by multiplication of ‘social numbers’ , either populations in space or frequencies of time, a system to ‘grow in size’; which is the ultimate meaning of travelling through the 5th dimension. For example, when a wave increases its frequency, it increases the quantity of time cycles of the system. When a wheel speeds up its increases the speed of its clocks. And vice versa, when a system increases its quanta, growing in mass, or increasing its entropy (degrees of motion in molecular space), it also grows through the 5th dimension.
And the integration along space and time, of those growths, is what we call the total Energy and information of the system, and so the principle of conservation of this constants and clocks of space-time, is what physicists call the integral of momentum or total ‘Energy and information of the system ‘,which is conserved between scales as we change the acceleration and population of the time clocks and quanta of space of each scale such as:
E=hƒ, E=nkT and E=mc².
In that regard, if the saint grail of physicists is to find the meaning of Universal constants, explained here and its unification equation (studied with 5D metric in the post on astrophysics), what 5D does is a much larger goal – to unify all the sciences, the old dream of Plato, Aristotle, Descartes, Leibniz and Leonardo – of philosophers of science. Since now we are ‘all made’ of vital spaces and time cycles, and so we can define for all species of the Universe a common world cycle and ‘generator equation’ of all our motions in time and space, which we will explain in detail in this post.
As each science is just the study of the species of cyclical time and vital space, of each scale of relative size, Sp, and Frequency of time cycles, Tƒ, of the Universe.
So if we put them all in a simple scale of co-invariant systems, whose product of size and time speed is co-invariant, we realise that each science is just the study of the species of an specific scale of size and temporal clocks, and putting them together we obtain, the scalar plane of a 5th dimension of infinite scales of size and speeds of time cycles that describe the more general laws of T.Œ with application to all the sciences and worlds of reality.
In the graph, that opens the post, we can see the physical scales of the Universe. In the previous graph, we expanded it to include also biological and social scales, each one studied by a different science, each one with different time clocks, speeds, scales and space quanta or ‘Universal constants’, which however conserve its total quantity of space and time or ‘energy and information’, for each ‘world cycle’ of existence of each species, we study: ∆≈Ei ≈ ∑ Tƒ x Sp
We use for all sciences the concept of a plane of space-time that conserves its overall energy and information, ∆=Ei, which in physical systems we easily reduce to the fundamental principle of all sciences:
‘The Universe transforms Tƒ-Temporal information into Sp-Spatial energy back and forth ad eternal’.
In the jargon of 5D this reduces to: ‘the Universe conserves the content of present space-time of each scale of the 5th dimension’.
The expansion of 5D fractal metric and its laws and Sp-Tƒ elements to the 4 disciplines of human knowledge. Isomorphic laws of all systems.
This means each plane of relative size has different space quanta (Sp) and different frequency, or speed processing its information through cyclical time clocks (Tƒ). But the product of both parameters is equal. And this allows to travel and share energy and information between different planes of the 5th dimension. Both in physical, biological, sociological and linguistic-mental systems, the 4 great disciplines of science and forms of reality.
Of those 4 scales contrary to belief, the biological and mental systems are the easiest to describe, because they lack uncertainty. We have a first perception of the languages of the mind that create ‘fractal images’, mappings and mirrors of reality. And we have the maximal information about biological systems, as they are closer to us.
The fractal paradigm considers that all those scales are ‘fractal’, that is they follow the same laws and properties. They are ‘isomorphic’. And so it is important to understand that we shall consider for each scale, physical, biological, mental-linguistic (Logico-mathematical) and organic social properties.
The philosophy of science of the fractal paradigm, which is the ultimate content of those texts as opposed to a mere descriptive quantitative analysis of the ‘visual form of those fractals’, which is what scientists have tried till now, is thus a ‘jump on meaning’, on the search for the whys of that structure.
That the Universe is a fractal structure is a fact proved in all systems and disciplines. What are the reasons and causes of this fractal structure is precisely those physical, biological, mental (logico-mathematical) and social, organic properties.
As the easiest properties to describe for human beings, which are mental, organic, social beings first, and less evidently physical species (our mass, speed and other parameters studied by physics are hardly considered in our daily life, while our social, organic and mental, logico-mathematical, verbal and visual perception, are ever present), contrary to the present philosophy of science obsessed by physical properties, natural to our technological civilisation, those other human properties should come first in the description of reality.
The conservation of energy and information, lineal momentum≈space and cyclical time≈angular momentum.
So just correcting those historic routines, and the conceptual errors dragged from them, the huge confusion of the present picture Physicists have of the Universe can be focused to see reality in all its astounding beauty and symmetry. So far we can save the essential concepts, we just expressed, writing them as follows:
Ei (Total Energy and Information of a system) = ∫ lineal and angular momentum = ∑ (Lineal Space motions x Temporal, angular frequencies) ≈ (abbreviated: ∑ Sp x Tƒ)
So now we have multiple time clocks and multiple space quanta, and while we might use different clocks (frequencies, speeds, temperatures) to measure time and different ‘constant of space quanta’ (H-Planck, k-Boltzmann, Mass) to match those time clocks, we do have that jewel of harmony in the Universe which is the conservation of energy and information (which of course, hawking’s musings break all over the place).
So we can write a very general equation for all the systems of reality made of vital spaces and time frequencies, including human systems, physical systems and biological systems:
Ei (Energy and Information, the quantities the Universe conserves) = ∑ Spaces x Time Frequencies
This simply tells us that the total energy and information of a system is the sum of all its vital spaces, each one with a different natural rhythm of time – measured by its time frequencies, which process and carry its information, in the cyclical forms and frequency of its cycles.
So the information of the universe is carried in its natural clocks – NOT IN HUMAN mechanisms, nowhere to be seen outside the surface of this planet.
The Universe is defined in logic terms by an inversion between its lineal and cyclical time motions.
This inversion carries also to the understanding of two still space forms, the lineal distance and the cyclical form. So regardless of human names we have now 4 fundamental shapes/motions:
|-lineal form and motion, which we shall call, lineal Space or ‘Space’, and Time duration or ‘energy motion’
O-cyclical form and motion, which we shall call cyclical time or Form of information.
And its combinations waves and elliptic bodies that combine both.
The use of the words ‘space’ submissive to those 3 time motions is accessory to the ultimate meanings and inversions of the true reality which is always time. So we shall consider space generally ‘present time’ – a dimension of ∂till infinitesimal time, which is how often appears in mathematical physics.
We shall also consider any ‘still state of reality, which allow us to study the fundamental beat of motion and form which all entities perform (and their dualities between internal static form and external motion). We shall call of space as lineal form even lineal motion (synonymous of duration seen in geometrical space).
This means lineal, decelerating motions (with less long term speed than cyclical accelerated clocks) are often referred as space. Since lineal motion decelerates and becomes still, and spatial expansion and entropy are part of it. And so finally we shall talk of space as an ‘interval of time’, regarded as the relative still, past, dead, region till present, in this final conceptualisation, we could talk of present as the membrane that divides the memorial past and the informative, moving future.
¡<|3|. BIOLOGICAL SYSTEMS.
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 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.
In graph, the world cycle of existence divides in 3 ages that divide in 8 phases, between birth and extinction, in which the 3 physiological networks that make the being, $t-limbs, ∑∏-reproductive networks and ð§-informative networks, are either in its Spatial, static, yin (–) or moving-activ, yang (__) state. Thus the being first activates its 3 networks, first its limbs/potential, then its particles/heads, and finally its reproductive body-wave, reaching the maximal power in ‘Heavens’… The darkness of youth ends and the plenitude of light starts afresh, as the system settles its mind and reproduces… But then immediately after starts its inverse slow loss of capacity. First its limbs/potential motions will fail, then it will experience its last reproductive Indian summer, and finally only the ‘quiet’ still mind-space will remain, moving backwards to the memories of its past, retracing its paths as a standing wave. So the 3 systems collapse in the 8 cycle of 9 years; to explode back in a thunder, completing a 0-sum between birth and extinction. This simple never quite understood game fully divides the world cycle of time, and can be applied to all kind of systems, while its spatial symmetry is the origin of many 8-systems of creation in nature, when we depart from 3 single elements in 2 possible states.