“Life-Death Equation”:

 

In the graph the Universe has 5 dimensions of space-time, which are the dimensions we need to build all realities. 3 Dimensions of space-time which are the canonical dimensions of length, width and height and its perception as motions=function in time; and the two ‘lost’ dimensions of the scalar Universe; the dimension of pure time motions, when ‘wholes desegregate into smaller faster parts’ (4th dimension of entropy) and the inverse 0-1 dimension of pure space-form, which creates from a seminal or linguistic form the whole.

The result of adding both – the life and the death processes – in any system or scale of reality is a ‘zero-sum’ of information+entropy that cyclically returns reality to its initial form, in a dynamic, multiple steady state balance that affects any entity of reality. The study of that process of creation and dissolution of complex structures, however, cannot be made with translational time, (v=S/T), the realm of physics, but it needs to understand biological, morphological time – the life/death cycle and its 3±1 ages. Those ages explain precisely what physicists, stuck in the study of time as movement in space, will never understand: the meaning of the life and death cycle that creates and extinguishes humans, societies (super-organisms of human beings) and all kind of beings that exist in space and time. In biological time all universal species follow the same ‘morphological changes’, described by the wisdom of verbal thought as the 3±1 ages of life, each one ruled by one of the 3±1   change=time:

+1: Conception:  ruled by social evolution, as a micro-organism or cell transcends into a macro-organism, organized by social networks.

1st age:                  Youth or Age of energy.

2nd age:              energy and information Reproduce.

3rd age:                All energy becomes information.

-1:Death:               The inverse of conception when the super-organism dissolves back into cells.

In the graph we describe that law of 3±1 ages, cycles, or horizons of evolutions for the fundamental species of reality. To understand that cycle in depth, we have to recall the Law of Complementarity between energy and information: all systems are made with a body/field of energy and a head/particle of information.

Further on, since form is made with energy, all events must start with an amount of ‘simple’ energy that transforms itself into information, the only other primary direction/arrow of time to go. Then, when all energy is consumed, warped into information, death reverses its cycle. Yet in the middle of that cycle, when information and energy are in balance, to preserve the ‘bio-logic’ form created in that process, the system achieves its reproduction.

And so the ‘offspring’ of the being will carry on its information into the future. Information never disappears as it always recreates itself.

All beings, from fundamental particles, (electrons and quarks) to human beings and life species, reproduce or are reproduced by more complex systems, when they have extra-energy to imprint its in-form-ation. Since forms that do not reproduce, die away and become extinct. So even those deconstructed beings that cannot reproduce alone are reproduced by other species. For example, cells reproduce carbohydrates, galaxies reproduce stars and human reproduce machines in factories. Thus, we talk of 3±1 drives, arrows or ages of existence in all systems: the drive for body energy, the drive for information, the drive for reproduction and the drive of social d=evolution (birth and death of a macro-organism). Whereas the 3±1 ages of Organic Time are merely the order in which those 3±1 drives ‘accumulate’ during the life/death cycle of any species.

In a young first age, energy is more abundant. In the mature age of balance, the species reproduces, combining energy and information. In the third age of the species, energy is scarce but information is abundant, accumulated in the first ages.

Young people are full of energy. They are in the Energy horizon of the species. They are bigger, have little temporal knowledge. They are simple in form. While Old people are full of information. They are in the information horizon of the species. They are smaller, as all information systems are and have a lot of temporal memories. They move little and have a lot of wrinkles.

Mature people balance the two elements of the organic Universe, their content of energy-space and temporal information. So they can reproduce all their components. Hence the 2nd age is the age of reproduction. And the forms of any being in that mature age are a harmonic, an efficient combination of energy lines and informative cycles that we perceive as ‘beautiful’, the objective perception of harmony between energy and information, lines and cycles. So in all organisms the mature, realistic, classic age of balance, or reproductive age, is the most perfect age. Human beings intuitively see that. We like balanced, spiral galaxies, mature people and realist art, which is called classic art and takes place in the mature age of civilizations.

Yet, the dominant arrow of time, information, will finally exhaust energy, warp totally the organism and bring its explosive death. And the cycle will start again.

It follows that a true science of life and time will try to maintain any organism in its age of balance, without excessive information. Exactly the contrary of what our society does. Since humans accumulate scientific and technological information towards a point or ‘singularity’ in which that information, in the form of a robot or artificial intelligence, might extinguish us.

In the graphs, we illustrate those 3±1 ages with a few universal examples, also from social sciences: we see the process in individual human beings, in art, the collective brain of a culture; in matter, where those ages are called the states of matter – energetic gas, reproductive liquid and informative solid.

Finally in the Universe, where stars evolve from an age of energy into an informative age as black holes.

So do galaxies that evolve from energetic nebulae into Black Holes, which explode into quasars. Finally, if the network of galaxies we call the Universe was truly born from a first seed of matter that fed and reproduced its form in the energy of the vacuum; it will go through 3±1 self-similar ages described by the 3 solutions to Einstein’s Space-time equations. Since all in the Universe is a game of ‘3’ dimensions or ages of time: past, the age of energy, present, the reproductive age in which all systems repeat themselves to keep their ‘present form’ beyond death and a 3rd age, when all energy is exhausted, trans-form-ed into form, information.

So we can finally understand together the three arrows of time and the fifth scalar structure of the Universe, as both bring a supœrganic system into being, through the creation of three topological networks, the entropic, energetic, and informative network, across ∆º±1 scales of existence.

In the graph the main scales of stience, each one studying a system with three physiological networks that becomes a whole, ∆º, unit itself of a larger ∆+1 supœrganism.

The conclusion is then obvious: all systems are about reproduction of information, and all can be modelled as an organic fractal reproducing information, as it travels through the 3 ages of life-existence.

WORLDCYCLES OF SUPERORGANISMS

INTRODUCTION: WORLDCYCLES VS. WORLDLINES: correspondence principle

In the graph, the simplified version of a world cycle is Einstein’s 4D formalism of a worldline,where only a motion n time entropy is understood. So with less dimensions cycles become lines and all what we know is how the entity moves in a single plane of space-time.

Reality however means you travel through 3 such planes in the life-death cycle of existence, which we show next for a human individual, for physical, biological and social systems, and in more detail for a prophet of a civilization, seed that evolves in the energy-placenta of its believers to become a whole:

So one of the fundamental findings of General Systems Theory, the ‘organic philosophy of science’ alternative to that of physics is the solution of the meaning of the 3±∆ ages of life (between +∆, emergence as a being from a lower scale of size, the seminal age, and – ∆, the entropic age of dissolution back to the atomic/cellular form; E=mc2 in physics), which are  COMMON to any General System of the Universe.

Thus, all systems start as a seed of form in ∆-1, the lower scale of size, of the ‘fifth dimension’  (ab. ∆±i) of co-existing scales of the Universe. Then the system will go through 3 dominant ages dominated by combinations of those arrows of time:

  • Young, age of maximal motion, and growth of energy≈Max. Spe (spatial entropy) x Min. Tiƒ(temporal information )
  • Mature age of  present, repetition obtained in which spatial entropy and cyclical clocks of in-form-ation are balanced.
  • And a third age of max. form, when entropy exhausts and the system enters in a third age.
  • Followed by a death age of entropy, if the process is not intelligently reversed by controlling the excess of form of the system.

This finding is truly remarkable, as humans have always understood those three ages, embedded even in its verbal ‘time language’ (three verbal times), but with the reductionist limits imposed by entropic physicists, and its worldly religion of making weapons, the findings were forgotten for the sake of ‘lineal, entropic measures’ and the military western civilisation. Now we expand back according to the principle of correspondence those three arrows of time:

We can then realise of two essential facts of this expanded view of time arrows (whereas present physical theories are by the correspondence principle, the limit to a single arrow/spacetime scale):

  • Life and death is a ‘world cycle’ which returns the being to its origin, a zero sum in a virtual Universe.
  • As each being has a finite time duration, and a finite vital space, we can consider an infinity of such arrows, and if we define the positive arrow of life and information as the future arrow (since obviously systems grow in information), then the arrow of entropy is the relative past (as it dissolves being back to the past) and then the present iterative repetition of beings that do not seem to pass is the present age of immortality.  Indeed the age of immortality is the middle term of balanced momentum which the Universe conserves (conservation principles of momentum and its integral energy).

In this post we shall study the 3 ages of civilisations, its life and death, departing from the highest understanding of it- the level of perception of systems sciences and its 3 arrows of relative time.

3 DUALITIES: FRACTAL WHOLES,  CYCLICAL LINES & DIS=CONTINUOUS SPACE≈TIMES.

‘E pur si muove e pur no muove.’ Galilean Relativity.

What is a dimension of space, of time, and a combined one of space & time?
Even before we describe those 5 dimensions we shall consider this a priori question, which science has not clearly resolved.
As it is indeed in the beginning of science, when the lack of a clear understanding of dimensions of time=motion and dimensions space=form, prevented humans from cracking the meaning of them, and left us ‘orphan’ of the first elements needed to construct reality.
We came closer and if Galileo had believed his sentence: the Earth moves but doesn’t move, he would have indeed, cracked the door to the absolute, but he left us only with one ‘motion’ of time – that of the Earth measured with a clock.
It is in that sense difficult to understand the influence that the discovery of machines that measured time (clocks) with seemingly more precision that human brain languages (verbal times, which indeed are quantitatively less accurate, but DID explain logically much better the interplay of PAST, PRESENT AND FUTURE, the 3 dimensions or ages of time WORLDCYCLES) had in our ‘reduction’ of time to a single ‘lineal time’, the one measured with mechanical instruments, and defined by Galileo’s time formula as a ‘parameter of space’: V=s/t, time=space/speed: translation in space.
So as we are going to expand the meaning of time dimensions as motions in the Universe beyond the ‘measure’ of lineal motions, in a lineal graph of space (the only dimension of time truly studied by physicists); we shall start by the correspondence principle putting in perspective the ‘reduced’ concept of time-motion of physicists, whose extraordinary detailed analysis of lineal time motions fogs with so much detail, the limits of such reduced single view of time.
A Universe of space forms and time motions.

All what you see around is a tapestry of forms that are moving (as motion is relative to the observer you will always be able to find a frame of reference in which the being moves) – nothing else is required to explain it all: ‘forms’, a concept closely related to the scientific concept of in/form/ation and ‘motion’, a concept closely related to the scientific term ‘entropy’.

Further on we can reduce reality to a single ‘element’, motion. Since when we observe any ‘form’ in detail at ‘smaller’ scales, the form also shows motion. Form in fact is merely a ‘very fast closed motion’ that seen without detail appears as a solid form. So all particles are closed motions. We shall call a closed ‘motion’, a clock-like ‘time cycle’. So we affirm all in the Universe are ‘formal motions’ tracing in-form-ative time cycles.

Information is stored in those closed ‘forms’ or ‘time cycles. In/form/ations, Forms in action are both the ‘form’ AND frequency ‘bits’ of those time cycles. And so as all what exists are cyclical forms (we shall call them, ‘fractal points’, ab. œ, •) that complete ‘worldcycles of time’, we can really reduce it all to ‘formal motions’, to time cycles.

And as any motion that ‘repeats’ its time cycle is REPRODUCING its form, its information, there is no doubt about our first principle born of the experience that all what we perceive are motions reproducing information as they move in time cycles:

Screen Shot 2016-05-04 at 10.28.43

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’.

Because a time clock has both, ‘motion’ and ‘form’, both in the ‘larger scale of the cycle’ and the ‘smaller scale of the particle’ that traces it – often in rotary motion itself; we talk of a Universe made of cyclical-wave motions and particle-forms.

Look around you. All what you see are forms, we shall call ‘fractal points’ (as they become larger and with more information, the closer we come to it), MOVING in repetitive cycles (as the perform the same ‘actions’, once and again, in sequential patterns).

The universe is about those ‘cyclical points’ tracing ‘worldcycles’, ‘imprinting through the process’ its ‘wave-like forms’ on ‘lower scales’ of size, and ‘territories of order.

Reproduction of information is immediate as ‘motion’ by definition ‘never stops’, so the mere repetition of a ‘world cycle’ of a particle (a cycle of a particle in a larger ∆+1 scale of reality), implies an action of reproduction. So all motions with forms are ‘actions’ of reproduction, the purpose of the reproductive, living, organic Universe.

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: ‘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. Each biological species has also its cyclical clocks ðime to process information and so do computers, which are basically ðime clocks and cyclical logic loops called algorithms.

So while humans obviously are aware of the existence of cyclical patterns of nature, because they have abandoned the proper concept of cyclical ðime changes, and its second dimension of form, of information, they cannot fully grasp the fundamental principles of the Universe: its cycles of ðime§pace, its scales of ðime speeds as §pace size (ab. ∆±i), and the ‘mind-mirrors and languages’ of information that allow systems to measure them, and interact with other beings in ðime§pace.

The concept of cyclical ðimes is not new. On the contrary, as it is evident in the left picture that all ðime clocks are cyclical, repetitive; the true mystery is how humans are so ‘dumb’, as to deny it in the modern age. Since all Asian cultures, and all western cultures till Galileo, did believe in cyclical ðimes. The word in fact still lingers in the names of our newspapers: ‘The New York Times’, ‘The Times of London’.

Moreover science would not exist if ðimes were not cyclical as ‘scientific laws’ are merely the repetition in ðime of patterns of behavior and causality.

All these truths unfortunately are hidden in the ðime equations of modern physics, so good for calculus so bad for interpretation, which need to be translated into cyclical ðime, measured by frequency (T=1/ƒ) and streamlined with a new jargon appropriate for a dual Universe, as opposed to the simplex jargon of classic absolute ðime§pace physics, that lingers in all sciences and drags its understanding.

In the left physical cycles, planetary orbits, which we humans use to measure ðime in all our ‘clocks’, which are also cyclical. People are hardly aware of this fact, since they tend not to use the ‘parameter’ of cyclical ðime, which is ‘frequency’, but its inverse, lineal duration: ƒ=1/t.

The formulae are simplified in this manner. Since ‘frequency ðime’ is discontinuous and so difficult to ‘integrate’. So physicists prefer to uncoil, frequencies into Lineal Time. For example the ‘revolutions per minute of a car wheel’, multiplied by its perimeter give us the ‘distance’: λ x v = S. And besides in this manner we achieve more information, as we get the duration and form of in-form-ation of each cycle (λ) and its frequency, v.

But if you just want to know the total length of along ðime period, you use Lineal Time durations and so you don’t need to sum all those cycles to get the lineal speed: V=s/t.

In the left graph, we can see that all physical systems, and all its ðime cycles return to its origin, creating a circle, but physicists uncoiled them and put all those revolutions one after another creating the concept of Lineal ðime – an artifact of measure, and further on equalized all the different clocks of the Universe, all the different cyclical actions of its species with a single mechanical ‘ðime clock’ elongated into an infinite duration.

And we shall return to it, when using cyclical time to define and upgrade physical equations, with new insights on its whys, thanks to the ‘inverse arrow of time’ cyclical frequency, ð(ƒ)=1/T-duration.
The 3 dualities of scalar time-space: motion vs. form, lines vs. cycles, quanta vs. larger wholes.
We want know to focus in the true meaning of the Paradox of Galileo and the dualities of perception, it brings to the human mind: we perceive the Earth still, but it is moving. We perceive the Earth as a continuum, but it is made of quanta of matter. And we perceive the Earth flat but it is rounded.
As those 3 DUALITIES: LINEAL VS. CYCLICAL FORMS, PARTS VS. WHOLES, STILLNESS VS. MOTION are at the heart of the ultimate laws of the Universe.
Indeed, the Earth is still under my feet, have always been, will always be – reasoned the Vatican astronomers – so what this ‘cuckoo’ Florentine, a people known for their dubious political and artistic opinions, is telling us? It is NOT evident that the Earth does NOT move?

Science in modern times started when Galileo realized the Earth moved in time, even if we see it as a fixed form of space.

So after much thought, he affirmed we couldn’t really distinguish motion from form. And this was called Relativity. But being a practical man, an artillery master for the Venice Arsenal, on charge of measuring the largest distance=motion of a cannonball, he didn’t think much about the ‘stillness’ of the Earth, just applied the clock and the cannonball to measure the longest line of shot. And affirmed after all the Earth was moving. And yet it is still still under my feet.

It is this paradox of the mind that perceives either form or motion, but NOT both at the same time, even if both things do exist (e pur si muove, e our no muove) what allows us to divide reality in two types of elements space and time and affirm both co-exist as two different still and go states/dimensions of reality.

Alas, this means we have just magic!, doubled the dimensions of reality as for each dimension of form=stillness=space, there must be a dimension-motion of time. This is the true principle behind relativity, through which shall rebuild the Universe of science to give it a much deeper meaning. Because as soon as we realise every motion has form the magic vanishes and reality doubles in. 

We shall talk of 3 fundamental ‘relativities’ that ‘confuse’ the mind – that between smaller and larger parts, which define the 4th and 5th dimensions of entropy and linguistic information; between lineal forms (which is how the mind measures) and cyclical forms (which is on the larger view how the Universe breaks reality into closed vital spaces) and finally between ‘continuous wholes’ and ‘discontinuous parts’.

Naive realism and the one-dimensional way of humind (ab. human mind) thought tend to disregard the existence of both ‘dualities’ at the same time, and so much of the arguments on philosophy of science have been historically a false choice between ‘sizes’, ‘forms’ and the importance of discontinuous parts/individuals vs. continuous wholes/Universals.

Saturn’s rings: the 3 dualities of the fractal Universe.

So after explaining you in the previous graph, the Universe in a nutshell, we are going to develop it.

Think in a word: symmetry or duality, between space and time, forms and motions. Every form can be seen as a time motion and every motion as a time form, and that enriches a lot our depth of thought, as humans till now have failed to see form in motion and motion in form. Only mathematicians wondered why for every algebraic equation (a symmetry of space-time), there was a topological equation (a spatial solution); why for every point  (a form of simultaneous time) there was a number, a time sequence, and so on.

But there are two other symmetries or dualities, worth to mention because they will come all over the place to distinguish the dimensions of space-time; that between small parts and wholes, which embodies the inverse 4th dimension of entropy and 5th dimension of mind-languages, mirrors that order reality; and the symmetry between lineal and cyclical forms, which is in great ‘measure’ a ‘measure’ of perception.

So let us explain the duality of continuous/discontinuous, which has also divided for eons thinkers in the ‘predominance of universals’ vs. those who believe in individuals.

 In the graph, Saturn’s rings, first observed by Galileo, seem continuous, still and bidimensional from far away; but observed in detail they become discontinuous in motion and made of 4D sherical particles.

Moreover, what appears as a single space-time continuum in detail becomes at least 3 scales: that of the rings with cyclical motion, of its particles, the rocks that turn within them and the not seen but known scale of atoms that create the solid networks of those rocks.

The ‘present’ state of science deals mainly with the single space-time continuum of the more ‘obvious’ human scale studied in terms of ‘present’=differential motions, ∂t, with minimal latitude of time.

The 4th and fifth dimensions deal with a longer duration from the absolute past (birth of the entity) to its absolute future (its death), when evolutions of form, frequencies of multiple actions and cycles of creation and extinction happen.

 Doubling the dimensions of time & space.
But the immediate most important conclusion arises from the existence of the duality between mind-form-space vs. motion-time is the doubling of dimensions of reality:
 Galileo’s insight in one of the 3 dualities of the Universe between motion vs. form was conceptually shallow, as he didn’t realise it happened truly both things at the same time, HENCE WE MUST DOUBLE THE DIMENSIONS OF TIME AND SPACE and equate them as dual states; one of motion (time dimension) symmetric to the state of form (space dimension):

3  S≈ 3 T

We consider then a Universe made of fractal ‘space-time beings’, which display the 3 classic dimensions of space as forms, but also as vital dimensions of time, as function is form.
And to those 3 ‘dimensions’ in a simultaneous present space scale, we must add ‘scalar dimensions of size’ in the fractal Universe ‘above’ the system (larger wholes) and below the system (entropic parts), for a total of 5 Dimensions, which we now pass to analyse in certain detail to ‘reach a certain agreement on its ‘names, numbers, forms and functions’.

Let us start then to build reality with the 3 dimensions of space and its motions in time, we shall also called arrows or cycles or actions of space-time. In the next graph, a first hint to how the 3 ‘vital dimensions of space-time’ ensemble into parts and organic wholes in all physical, biological and social systems; since there are only 3 topological forms (geometries with motion) in the Universe. So evolutionary topology the expansion of topology proposed in this form is the key discipline to understand how the species of reality are created and destroyed: 

In the graph we see from a spatial, simultaneous, formal perspective, ensembled into 3 type of physical, biological and social space-time organisms, the 3 ‘form of space=functions of time=topological varieties of space-time in the Universe’.

In the graph we see the 3 first dimensions when doubled in function, divided according to the ‘discontinuity of the fractal Universe’ and perceived as lineal maximal motions-functions in limbs/potentials and maximal informative storages in spherical heads/particles.

So the 3 dualities of the Galilean paradox that started science but were REDUCED by physicists to single dogmas (continuity, single scale, lineal equations and lineal time), when fully accepted as the ultimate logic dualities that co-exist in reality, explain immediately the structure of most systems in existence.

Those 3 dual paradoxes between motion and form, wholes and parts, lineal and cyclical shapes, were rejected due to the incapacity of the mind to handle all the information of the Universe, as it is a minimalist organ that selects and reduces perception to fit all the information of the scalar infinite Universe of space-time motions into its limited space are essential to understand ‘reality’.
So we translate constantly dimensions of form and motion, as the ultimate structures of the Universe is made of st-eps, in which a dimension of form becomes one of motion that becomes one of form in a stop and go process. In the graph 2 cases of physical systems: the loss of a dimension of height-form as it accelerates into a dimension of motion, angular acceleration, and a change of a spread state of motion as a wave, and a stop state of information as a particle.

4D≈S∂ entropy and 5D≈∫T: social, fractal planes and its ‘finitesimals’.

But Galileo’s observation of reality and that of all scientists that follow him failed also into focusing scientific equations in the two other paradoxes of observation of reality soon evident with the use of telescopes and microscopes: The fact that the structure of the Universe was organic, scalar, as we large wholes made of smaller parts – giving birth to the duality of the continuous form and its discontinuous components.

This duality did not stir up the understanding of the scalar, (ab. ∆) dimensions of the Universe, those that refer to the co-existing parts and wholes of those scales, we shall terms here the fourth dimension of entropy (the disorder of wholes into its smaller parts, ‘freed by entropy), ∇, and the fifth dimension of social wholes put together by the enclosing membranes and singularity minds that focus them.

The Universe is a fractal so it has scales of size that co-exist together for which we need to add dimensions, to introduce the fractal Universe.

So besides the 3 space dimensions ≈ 3 time dimensions (seen as still in space, as moving in time) we do need to consider at least 2 more dimensions, one for the lower scales of the being, which we shall call the fourth dimension of absolute past and one for the upper dimension of the being of absolute future.

But also all systems co-exist in 3 scales of the 4th & 5th Dimension: the ∆-1 atomic/cellular, ∆-organic/thermodynamic and ∆+1 gravitational world: