“Space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality” Minkowski
Introduction. To be and not to be.
Einstein and Minkowski underlying idea that space and time are symmetrically and inversely messed into a single ‘being’ has not fully been understood. The idea that both ELEMENTS space and time come together in reality, was however the biggest advance of timespace theory since Darwin.
But how fractal §pace and cyclical ∏ime mess together? This is where Minkowski and Einstein didn’t go far enough, because of their acceptance of a classic mathematical concept of ‘continuous single space’ and a single, continuous lineal time, described with word lines.
Once this error is solved, we easily realise there are in fact 3 states of space & time – their ghostly existence separated as ‘past space’ and ‘future time’, and their more complex ‘present combination’:
- Pure space, or expansive, lineal motion, ‘entropy’ being the closest concept to it; which has in its purest nature no ‘existence’ as it has no form, no in-form-ation, and so it represents the remotest past of non-existence.
- Pure Form, dimensional logic form, pure ‘time’, a causal rather deterministic logic set of events that come together once put on motion by the very topo-bio-logic nature of the causal, vital Universe, but are without energy-motion in which two impose their form, ‘potential events and beings’ in an Aristotelian sense, and hence non-existence, in the present.
- And Space-time together, body-waves of finite present existence, which merge both and DO appear as ‘beings’.
So existence is a series of ‘dharmas of present body-waves of yin-formation and yang-energy, mixed together. Those present space-time beings are the beings that truly ‘exi=st’.
But where is then the immaterial ‘future-logic time’ of causal, deterministic processes? This is the ‘will of schopenhauer’, the ideos of Plato, the Pythagorean mathematical God and Darwinian biological God; this is nowhere and everywhere, immanent and transcendent, emergent in all causal processes given you give it time, and as such eternal and at the same time non-existent. So it is space, the ‘void’ to which the Shiva=energy/Visnhu cycles return (we do use in this blog all languages and human perceptions of the space-time duality NOT only those of western physical sciences). Yet we shall deal with potential pure time and vacuum space in other parts of the blog. Let us consider the ‘duality and messing of both’, starting from its keys elements, the holographic principle and the ternary symmetry between topologies of space and ages of time.
PART I. DUALITY. CYCLICAL TIME AND VITAL SPACE
I. Duality. The inverse properties of space-time.
II. Time: closed cycles that carry the in-form-ation of the Universe.
III. Holographic Principle: still bidimensional information and energy merge together.
IV. Layered dimensions: the building of space.
V. Fractal ternary structures, the generator equation: 3 time ages, 3 space topologies.
VI. The scalar fifth dimension: fractal points, networks of space, speed of time cycles.
PART II. ∆: 5D. SCALAR SPACE-TIME AND ITS FRACTAL NETWORKS
I. Nature’s time clocks constantly accelerate into information and decelerate into energy.
II. Fractal space-time networks. Non-Æ mathematics.
III. All together now: Worldcycles of existence.
Appendix: Lineal 4D Physics.
PART I. CYCLIC TIME & FRACTAL SPACE
I. Duality. The inverse properties of space and time.
The line or shortest distance between 2 points and the cycle that stores the max. quantity of information in lesser space. Both combine to reproduce the infinite beings of reality. It is the game of existence we all play.
The Principles of reality: Space-time Duality. Ternary organs and ages. 4 åctions. ∞ Fractal Universes.
The integration of all sciences in one is the goal of General Systems Sciences or Complexity. At Macy’s the year of Einstein’s death, the highest minds of mankind came together and realized that physics had its limits and lacked despite its exhaustive understanding of Entropy and motion (as that was its purpose since its inception by Galileo) a full comprehension of information, the other element of which the simplest Universe is made.
They also realized that the mechanist view was too simple and rather theological because as Leibniz put it, needed a God that started and created the mechanism. So for the future evolution of a more comprehensive theory, they considered that all the ‘systems’ of the Universe (anything that exists), there should be at least two elements, defined by their form and function, both related to each other: Entropy or entropy or space (any expansive motion, hence perceived as extended, planar or lineal space) and information or form or time (implosive motion, hence perceived as implosive, cyclical motion). This realization is the principle in which the 5 dimensions of the Universe are based. Since we can say as Taoists philosophers that from ‘1 comes 2, from 2 comes 3’ and add ‘from 3 comes 4, from 4 comes 5 and from 5 dimensions come all the beings of the Universe’:
- Duality: The space-time of the Universe is made of quantum of 2 types of motions: Lineal Entropy and cycles of times, whose frequency carries the information of the universe. As proved by Planck: ∑ Sp X Tƒ =K
- Trinity: All organic systems have a head made of cycles of times, limbs of quantum energies, combined in a body that reproduces both making this logic structure of motions to survive.
- 5-Dimensionality: Such organisms survive by performing 5 åctions. Entropy feeding, informative perception, reproduction and social evolution as herds, ∑ and networks, ∑2=∏.
- The orgasm mandate: Each mathematical point of view, or diffeomorphic, local entity of space-time will perceive reality from its own point of view and try to maximize its existence as a complementary system, ∑Sp X Tƒ=k, this is achieved at points S=T and max. ∑.
- The meaning of existence. Thus all systems try to achieve Max. ∑Sp X Tƒ=k. We call this the mandate of existence: grow in spatial Entropy and temporal information: ‘Grow and multiply… in balance between mind and body.’
What this meant is that all what you see is made of two type of realities lineal motion or Entropy and cyclical motion with more form or information. If you look at yourself, you head is spherical, cyclical. Your limbs are lineal and move. And in between you have a body that combines both forms and it is elliptic or an inverted cone, figures made of combining line and cycles.
Anywhere you look you will find all systems to have those 2 elements, Entropy limbs or fields in physics and cyclical heads or particles. So this is the first tenant of General Systems sciences, which describes the common isomorphisms of all systems of the Universe:
All what exists is a system made of 3 components, a field of motion, the energetic system, a head or particle that process and creates forms, the system of information.
In complexity the Universe is quantic. Space-time continuum is the sum of all those spaces or motions of Entropy, of all the limbs and fields of Entropy of lineal or planar form. And time is the sum of all those cyclical motions or ‘clocks’ of all its systems.
There is not only a clock of time, our mechanical clocks, but infinite cyclical motions that happen to regulate and guide the energetic fields. So particles guide fields of Entropy, and heads guide limbs of Entropy.
This is the first ‘whole’ and its parts: a Universe of space and time is the whole. Its parts are all those quantic, lineal fields of Entropy and limbs and all those cyclical particles (charges, masses) and heads. The whole seems continuous and static because we integrate it in the mind’s picture. The parts seem broken and vital in motion. Both descriptions are valid. And the whole interacts with the parts.
For example, Relativity explains the whole. Quantum theory the parts, fields of Entropy and particles. And the whole and its isomorphisms influence its parts.
Organisms seem wholes, but then they are made of cells, of two types, informative brain neurons and somatic, body cells. And the whole influences its parts.
Time and space are like Leibniz – the most clear predecessor of organicism – thought of them: a sum of different ‘spaces and times’ as each entity that exists has a certain vital space or body of Entropy that lasts a certain duration of time or life. This brings a key duality, between Universal, ‘whole’ concepts (space and time) and particular parts (the energies and cycles of information of each part):
If space has motion and it is broken in vital spaces with extension, it is equivalent to a sum of energies. Thus space is made of ∑energies.
And if time is broken in multiple life cycles, and we consider each life cycle or duration of a complementary system a clock cycle of time, time is equivalent to all the cyclical forms or ‘in/form/ ations’ of the Universe. So time is the sum of all informations, all forms-in-action, all cyclical forms.
When we add all the informative cycles of all beings and all its ‘vital energies’, we obtain absolute time and space, which ultimately is an error of perception due to the use of a single mechanical clock.
Yet when we perceive, we also eliminate motion. And so we see space quiet, as we see the Earth quiet, despite moving along paths of gravitational Entropy; or your skin quiet despite being made of cellular cycles. Thus we further reduce our knowledge of the parts gathered in a whole that appears as quiet space, with a few motions that truly matter to the perceiver – of preys, predators and individuals of the same species – while the rest of reality appears as a continuous space-time, often represented in a continuous Cartesian, mathematical graph.
This is natural to the limits of storage of information of any perceiver, because the brain cannot hold all the fractal motions, vital spaces, time durations of the life of all beings. So it reduces information. But this has caused grave errors in human knowledge, as we believe what we see. So science tends to reductionism, considering beings things and ignoring the isomorphisms that relate all those scales.
The inverse properties of spatial Entropy and temporal information.
Tƒ fully grasp the dynamic transformations and properties of Entropy and information the most important quality is the inversion of its properties and the possibility to transform the forms of one property into the other.
Informative time, Tƒ Vs. Energetic Space,
ΣS Time-clocks:Information Vs. Space motion:Lineal Entropy
Small, still Vs. Large, moving fast
Tall, Perpendicular Vs. Long, Parallel,
Hierarchical Vs. Democratic
Bidimensional Height Vs. Bidimensional, Length,
Repetition Vs. Width-Growth
Cyclical, Rotation, imploding Vs. Lineal, uncoiling, exploding
Informative Frequency Vs. Lineal Speed
Broken form Vs. Continuous, differentiable
Intelligent, perceptive Vs. Strong, fast.
Social, organic, creative Vs. Darwinian, destructive behavior
Future, evolved predator Vs, Past, energetic victim
Life arrow Vs. Death arrow.
Waves of space Vs. Particles of Time
Female, yin principle Vs. Male, yang principle
Masses, charges Vs. Forces, fields
Heads & senses Vs. Limbs & Bodies.
This resumes in its two fundamental equations: Sp X Tƒ = K, and Sp<=>Tƒ.
The constant transformation of one into another.
Despite their inversion, and this is the most important law of the Universe, Entropy and information constantly transform into each other. It is the principle of ‘conservation and transformation of Entropy back and forth into in/form/ation, forms in action’ which becomes the new fundamental law of the 4th paradigm, widening the principle of conservation of Entropy:
‘All energies, trans/form constantly back and forth into information, Sp<=>Tƒ’
Thus the Universe is truly an eternal infinite of beats of Entropy warping into dimensional form, information and informations uncoiling into spatial Entropy. And since both elements Entropy and temporal information have motion this is possible as they are truly just the two extreme types of topological motions of the Universe, each one associated to a series of ‘functions’ and ‘perceptions’:
Entropy=Extension=Space= Fast motion = Lineal, planar shapes = Pleasure = Reproduction = Death
Information=Implosion=Time=Slow motion=Cyclical ball=Pain =Communication = Evolution = Life
The infinite balances and combinations of those two fields and its forms are the essence of reality.
The five åctions of Entropy and time performed by all species.
Since all is space-time, all is Entropy and information; all is a sum of complementary entities of Entropy and information that perform 4 åctions in space-time to enhance its survival:
-Entropy feeding (e), information or perception of it (o), reproduction that combines both in other surface of space-time (Sp X Tƒ) and finally social evolution, as a herd, ∑Sp X Tƒ, or as a network, ∑2=∏, which as the reader can see summons up all the other arrows.
We call the composite, reproductive and evolutionary arrows, the complex arrows.
And so we can express all in the synoptic language of science with a simple equation that we call the fractal generator of the Space-time Universe: ∑Sp X Tƒ
Since e and O are the two initial variables of reality, the program is self-evident, deduced from them and it proves itself by the experimental method (all is a complementary system of Entropy and information) and then by the logic of evolution: those 4 space-time arrows encompass and explain all what exists in space-time, and all åctions and isomorphisms of all sciences, as the are needed to survive.
Some of those sciences need some minor corrections to adapt it to the program, but most don’t; just a translation of jargons. Because of the importance of it, I believe it will start a new paradigm of science, the paradigm of ‘whys’, that would deepen the understanding of the ‘hows’ of the present age of knowledge, based in metric measure.
We shall prove that all systems are complementary systems of Entropy (Sp) and information (I), which combine both to perform ‘åctions’ in space-time (Sp X Tƒ); most of them tending to absorb further Entropy (∆Sp) and information (∆) or ‘combine’ both in new ‘åctions’ and reproductive processes (Sp X Tƒ).
We call the 2 components of all systems (Sp and I) the simplex, primary åctions-arrows of space-time, following the tradition of physical sciences; where action is their perception in space and arrow their perception in time. They are equivalent to the concept of the simplex ‘biological drives’ in biological sciences (feeding and perceiving Entropy and information); and the concept of ‘will’ or ‘greed’ – our desire for more Entropy and information, in psychology.
And we call the combination of those two primary åctions/arrows/drives/wills of ‘existence’ in space and time, the complex, secondary åctions/arrows: reproducing (Sp X Tƒ) and evolving socially, when we consider a sum of those åctions/arrows either in space or in time, ∑Sp X Tƒ (spatial analysis) or ∑ Sp <=>∏Tƒ.
The reader will observe that since we are referring to self-similar åctions/arrows/drives/wills in all scales, we need a supra-jargon and formalism to unify them all, or else we would have to make such chains of similar concepts in each scale:
– We prefer the term reproduction to its different jargons: ‘iteration’ in mathematics, ‘decoupling’ in physics, ‘reproduction’ in biology, ‘memetic creation’ in culture, and ‘production’ in economics. And we prefer the terms Entropy instead of space and information instead of time cycles.
– We prefer the terms existence and extinction to the terms life and death; as they are inclusive of all entities of reality.
– We most often use the term åctions or time arrows instead of biological drives or will of existence. In that sense, we reduce space-time åctions to the concept of time arrows as space is just a slice of the flow of cyclical time arrows that displace and change the spatial configuration of all the beings of the Universe – defined as the sum of all the cycles of time arrows of all its existential beings. Hence time includes space within it and such concept stresses a fundamental property of the Universe: all has motion and form, Entropy and in/form/ation.
Some key discoveries of General Systems will be difficult to overcome by mainstream science, specially physics, the oldest of all sciences and hence more prone to old errors of ‘Idols of the tribe of knowledge’ (Bacon), due to the ‘memetic=believer’ nature of the human brain, which as any system of information, reproduces its bits (genes and memes =theories), generation upon generation, regardless of its logic and experimental consistence (content of truth). The main error of classic physics concerns the nature of time as ‘what a clock measures’ (Einstein), and hence as a single time-arrow of motion.
When time is any type of change and so we must define 4 arrows/åctions of space-time as the fundamental types of change of all systems.
Of those 4 ‘type of universal åctions’; physics acknowledges only an arrow of time, entropy, the arrow of Entropy and motion, which is what it studies since Galileo’s analysis of the motion of weapons, and a type of clock, the mechanism constructed by him.
This was all right, as long as Physics did not pretend to be the philosophy of science of all other sciences, after the importance it acquired due to the Industrial Revolution of machines, they build. So today the reductionist studies of physics concerning space-time åctions-arrows, where time has been spatialized and reduced to the arrow of energetic motion as the 4th dimension of space, have become a dogma of all sciences, which hinders their understanding and the acceptance of General Systems sciences.
This goes to the extreme that physicists do not even accept information as an arrow of time, only entropy, which is an arrow deduced from studies of heat and electromagnetic forces. Fact is in physics there are two arrows/forces on the long range, energetic, expansive light and informative, attractive gravitation. And yet, memetic imprinting is so strong that still gravitation is not accepted as the informative element of our physical Universe.
Thus physics must be redone completely and simplified as Copernicus did when the sun was put in his place, with the concept of informative forces.
A second concept of enormous importance is the Paradox of Galileo: all moves even if it seems quiet. That is, time is the substance of reality, motions that change space beings and organisms along a time cycle. And since changes have different speed and life cycles different duration, time is not only multiple but has different speeds of change.
That is why we call also General systems sciences a theory of multiple spaces and times. Thus, for the physicist who is unfamiliar with the concepts of organicism and might resist them, with its mathematical, itifying perception of reality, my advice is to think of what he is going to read in terms of ‘åctions of Entropy and time’ and the relational concepts of Leibniz, and the relativity and ‘diffeomorphic’ principles of Einstein and the Principle of Complementarity of quantum physics and its fundamental equation, Sp X Tƒ = K. We shall see how indeed, as ‘properties’ of a smaller scale of the fractal universe emerge in the higher scale, the principles of geometry and quantum physics emerge also into higher scales, even in the human one.
Ternary organs; 3±1 ages. Organicism is the key to the Universe.
All this said it is obvious that those 4 åctions, used to define in the past the drives of biological beings, which feed, perceive, reproduce and evolve socially are now extended to all systems. Hence all what exists is in a way alive, as even the simplest quarks and electrons reproduce when they absorb Entropy, creating new particles. It is the ego-trip of man, who wants to be the only sentient, vital being of the Universe, specially in the Western anthropomorphic tradition, what prevents the obvious similarity of all systems in all scales of reality, to become mainstream science. The astounding thing is that the anthropomorphic scientist does not recognize the fact that a machine-like Universe requires, as Leibniz explained to Newton, a God to make it, while only organicism is self-generating and hence ‘scientific’.
What is exactly an organism? Let us define it: An organism is a complementary system.
All what you see in reality responds to a dual structure: Entities of Nature are complementary systems of simplex networks of Entropy and information, which combine to form a complex system that switches and merges both states. In the process the system might reproduce an entity self-similar to itself. And this is the definition of an organism; reason why we affirm that reality is dual and organic.
In Physics all what exists are particles of information associated to energetic fields that move them, and only both together exist (Complementarity Principle), creating a physical entity, which can decouple creating self-similar particles.
In Biology cells have a DNA nucleus of information, surrounded by cellular cytoplasm that provides Entropy to the nucleus; or an informative head moved by an energetic body. And only both together can exist, creating a biological organism. There are no bodies without heads and red cells without nuclei die faster than any others. And cells and organisms can reproduce self-similar forms.
Finally, in the economic ecosystem money acts as the informative language that gives orders to the physical economy, which reproduces all types of serial machines.
Yet what define an organism and all systems, as organisms are 3 derived facts:
- All those complementary systems perform 4 åctions that are mimetic to the 4 drives of existence of living beings (feeding, perceiving, reproducing and evolving socially).
- All complementary systems that work as independent wholes have 3 parts in space, the Entropy part, the information part and a ‘body’ that puts them together as a whole. And the forms and functions of those subsystems are related.
- Ternary principle in time: All systems live 3±1 ages of the life/death cycle: an energetic youth, a reproductive maturity and an old age of information, dying then in a big-bang expansion that erases its information.
II. CYCLICAL, CLOSED TIME PATHS
In the left graph, all time 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 time – an artifact of measure, and equalizing all the different clocks of the Universe, all the different cyclical actions of its species with a single ‘time clock’ elongated into an infinite duration.
Multiple time changes and cyclical clocks.
In the right graph, Galileo’s principle of lineal inertia, derived from his worldly profession. Galileo in fact created lineal time, because he was an artillery master for the Venetian arsenal, earning 1000 golden ducats, an astounding sum for the age, with the job of finding the longest lineal possible trajectory for canon shots (which he found to be alas! not a line but a parabola.
But that didn’t deter him, from proclaiming in his first book called ‘On military instruments’, that his discovery of lineal time would be ‘…of great use to artillery masters, and a delight to philosophers’. It was a worldview that ratified the religious paradigm of Abrahamic religions, in which man had a lineal manifest destiny of progress even higher than that of God, the mind of the Universe, since ‘he was created in the beginning – hence before God himself – above heavens and Earth’.
Now we shall return to the proper definition of time and space in simple terms, from where we shall derive much more meaningful truths about reality:
‘Times are cyclical, closed motions. Spaces are lineal, open extensions’.
The concept of cyclical times is not new. On the contrary, as it is evident in the left picture that all time 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 times. 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 times were not cyclical as ‘scientific laws’ are merely the repetition in time of patterns of behavior and causality. So to deny cyclical times is to deny science, logic and objectivity.
But it also means to deny the fundamental particle of the Universe – a being made of ‘fractal, discontinuous’ space-time cycles, whose beats and synchrhonicities only when pegged together create the impression of absolute space-time Universe, as we are all made of spatial energy, vital space and temporal cycles that carry our information in the speed and form of its cycles.
Informative computer and life cycles.
For example, computers process information and they are basically a series of time cycles, digital clocks. So both time and computers are measured by the speed of its time cycles, in frequency Herzs, Tiƒ. So we said that a computer is more intelligent when it has more ‘gigahertzs’, when his time cycles run faster, when its ‘speed of time is faster’.
What do then a computer time cycles have to do with space? Nothing. There time is still a measure of information, carried in the form of its logic circuits and the speed at which the algorithms of those logic circuits are traced. But now it is NOT measuring the information on the speed and distances of space.
Consider the evolutionary time rhythms discovered by Darwin. Evolutionary time measure the rhythms of change in the form, hence in the in-form-ation of beings. So the fittest species, those with more efficient forms and which act faster in time survive. Think of in-form-ation as ‘form-in-action’, because it is what time is. We perceive time cycles which are, forms in motion, changing forms, temporal forms, forms-in-actions, informations.
The problem though with physicists, as we have said is their megalomaniac, bully attitude; as their worldly profession has always been to make weapons (70% of them still work in the US as makers of weapons). So power corrupts, and their military power corrupts their attitude towards other scientists.
So they think what they study is ALL what we must know. Their particles ARE essential. And all other forms of time, informations and beings IRRELEVANT to the ultimate nature of things. Alas, power imposes its view. So whenever you pretend to explain people, scientists and of course physicists, the much wider meaning of time, it is like if you were committing a blasphemy against the religion of time-physics: s=ct≈vt. And that’s all.
So Physicists introduced two reduction of the whole concept of time in nature – to reduce it to study a single type of form in motion, in-form-ation – the translation in space of physical systems or ‘locomotion’. And to reduce and equalise all the clocks of nature, from orbital systems, to living systems and their world cycles, to evolutionary cycles, to mental cycles, and logic cycles, to a single clock tic – that of the clock. So they came with the infantile concept that time has a single tic, and that tic is like the clock, a steady tic. Yet it is evident as you have experienced with the growing speed of time of your computers and mobiles that even among mechanisms there are different speeds in their clocks, and this speed increases with the evolution of the clocks that keep processing ever more information.
And, so happens in nature, where new species are ever faster in their clocks of time. So mammals are faster than reptiles faster than plants. And the next ladder in the evolution, robotic machines are faster than men – and for that reason they are displacing us in all informative processes, as the new white collar pcs, blue collar workers and terminator soldiers, in fields of labor and war (cause of the present existential crisis of mankind, hidden by our financiers and economists working for corporations that make money with them).
So to me the first, most obvious error about Nature, was the way in which humans tried to IMPOSE their gadgets and machines of time measure over the Universe, WITHOUT any respect of the beauty the different rhythms of that Universe showed.
So I threw my mechanical clock, and never have worn one.
Since the first obvious human, mechanical bias is the way in which we measure time. We do NOT use any longer as we used to do the cyclical rhythms of nature, but the mechanical clock, and try to reduce all the cycles of nature to that mechanical clock and its steady state one second rhythm. And we pretend that is the ‘absolute time rhythm and only one of the Universe!
This is akin to the old ways of astronomers who tried to impose to the Universe the frame of reference of the Earth as its center. It does work despite its bias, so with complicated cycles you can explain it all, from the point of view of the Earth, but calculations become very complex with epicycles and extant, etc.
So happens when you do NOT use the clocks of Nature, which soon will be defined here. Physics does work but it is overall very complicated when dealing with different time rhythms, and one century after Einstein found there are many such time rhythms and some change its speed, there is zero understanding of this. We just put some ‘new epicycles’ called Lorentz Transformations, but since we are stuck to our ethnocentric clock, as old astronomers to their earth-centric world, the explanations are blurred. Men merely try to feed the Universe onto their ‘time view’ or rather mechanical view of time. And the Universe is much ore complex and rich in clock rhythms than that.
Indeed, why we Humans use a mechanical clock with an artificial rhythm to measure time; IF the Universe has infinite rhythms? It is just an ego trip and the worship of machines that characterize the western civilization. Thus when the Brits got to China to sell their ware, was the answer of Tao=time masters: why we want to buy your ugly mechanical clocks if we can observe the Universe with its clocks of nature, its cyclical rhythms? Obviously, the mechanical clock with its single steady state time cycle IS a human artifact.
Time did exist before mechanical clocks with his own rhythms. Its own Universal time clocks. The mechanical clock is NOT a Universal time clock. So the use of this human clock to measure all the time clocks of the Universe bias our concepts of time, and ‘hides’ the clocks of nature. So the next fundamental question in our search for proper definitions of time, entropy and black holes becomes obvious:
– What are the true clocks of nature? And once we find how Nature measure its cyclical time frequencies, we shall wonder are those rhythms of time stable, steady state rhythms as those of our mechanical clocks, or they change rhythms, have different ‘time speeds? And how they measure information and create it, as opposed to the creation of disorder and entropy? And which of those concepts order or disorder dominates the Universe?
This huge gap between the capacity of man to make instruments and his theoretical power is indeed remarkable and we shall have a laugh at it at the end (sorry I cannot stop being insolent). T.S. Elliot put it in verse, when he marveled on the passion of humans for theorizing about the meaning of reality when the were so obviously ‘not gifted’ for it.
The bias introduced by anthropocentric, mechanocentric clocks to measure all the times of the Universe.
And this is at the core of the present mechanical worldview, sponsored by physicists, which we will try to upgrade from the larger perspective of philosophy of science, seeking for the principles that unify all disciplines of knowledge:
Physicists have excellent machines to measure time, but they distort with them the true rhythms of Nature. So they cannot understand what time truly is… Yet only the best of them – Feynman, Einstein, Landau – recognise this huge gap between ‘measuring and understanding’.
So Landau said laughing at the way humans measure time:
“There is not time uncertainty, I just look at my watch and know the hour’ – meaning physicists distortion of time with its mechanical clocks fogged our understanding of the true nature of time.
The concept of cyclical times is not new. On the contrary, as it is evident in the left picture that all time 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 times. 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 times were not cyclical as ‘scientific laws’ are merely the repetition in time of patterns of behavior and causality. So to deny cyclical times is to deny science, logic and objectivity. But it also means to deny the fundamental particle of the Universe – a being made of space-time cycles that ‘thinks, therefore exists’ as a world in itself.
The equation of the mind. The point of view is an observer that gauges reality with its first action, O, a mere rotation in space-time.
The cycle thus evolves into a point of view with angular momentum, the minimal action of the Universe. And in this manner starts its adventure, through the function of existence, till completing its worldcycle of life and death in space time.
We are all worlds of spacetime, worldcycles which go on doing cyclical actions between birth and death – just a travel of a worldcycle through the 5th dimension, which encompasses them all, and orders its species through a new dimension of time, from past to future, from the infinitely small to the infinitely large, from the infinitely slow to the infinitely past, back and forth, back and forth, Sp < => Tƒ <= >Sp…
The 5 i-logic postulates define the unit of reality as a fractal point that observed in detail is in itself a World, which contains within it all the mathematical topologies of the 4D cosmos. This can be deduced in a logic manner, through the equation of a mind/p.o.v., which can map out as a mirror the whole Universe we perceive in its infinitesimal mirror.
In the fractal Universe all systems of i-logic information gauge reality, transforming a force they absorb into a logic language, which mirrors the Universe. It is obvious that the essential particles, quarks, photons and electrons cannot have a wide mapping of reality unless the fractal scales of size are infinite (and then an atom might be the upper bound of a new scale – a nano-galaxy).
Yet even if reality has upper and lower limits of size and point-like particles are not fractal world but the limit of universal form, those simple particles still gauge information and store some type of logic, mathematical computer-like structure that allows them to behave as they do, organically. Since particles orientate their position in a herd of self-similar particles; they move towards light, its energy, when the electromagnetic field is in its neighborhood and they decouple=reproduce into new particles when they absorb more energy.
All those properties are the minimal properties we ascribe to a fractal ‘point of view’ or ‘mind’ in a broad sense – a structure that gauges energy and information, creating smaller fractal mirrors of reality. Such structure has within itself a minimal amount of geometric paths and logic processes that allow it to form the forces it uses as energy and information source. We thus call such structure a mind. Since any point of the Universe becomes a focus of infinite parallel forces that flux into the point, creating a static image of reality in Complexity, we define a Mind, as an infinitesimal mirror-world that reflects the infinite Universe:
0 (Mind-cell) × ∞ (Universe) = Linguistic Wor(l)d
The equation of the mind, defined by the 1st and 5th postulates of illogic geometry, sets limits of truth in linguistic science, comparing the worlds created by any mind and the Universe at large, much bigger than any informative, mental, linguistic image we have of it.
It is however the why that explains why entropy doesn’t dominate the Universe; since now the increase of order and information in the Universe is mainly caused by those ‘perceptive points’ that gauge information. Those points might or might not be conscious in a vegetative or reflexive way, depending on its complexity; but they are ‘aperceptive’ – an expression coined by Leibniz to express perception without consciousness. And so they have a will to order and perceive more information, not only a will to feed and increase their energy. And so there are two ‘wills’ of feeding and gauging common to all points, which we can measure objectively, externally by the fact that when energy appears, particle move towards energy (so electrons jump and feed on light) and when other particles appear they gauge their distances. We observe this property in all systems when they form a focus, which emerges as the point of maximal order in which the network of the system integrates its information.
Then the system becomes more stable: A crystal grows faster when the network creates a central point. A hurricane can be destroyed when the central, still point where all the flows converge is disturbed. A life being becomes erratic in its motions when it becomes blind. A galaxy acquires order when a black hole, which probably gauges gravitational information, appears in its center.
The existence of an infinite number of such points is undeniable objectively and adds an enormous amount of order to the Universe, which mechanist science does not account for. Stillness to focus information into a pixeled map of the Universe, and the existence of a network that fluxes in that point through which ‘infinite parallels’ can cross, are the two conditions of formation of gauging points.
Then we can establish the birth of a complementary network of energy and information, an exi=stential point: exi=k; where k represents a ‘mapping of reality’ in the informative language that the waves of communication of the point with the external universe have created. This means that the models of metric measure developed by mechanist science merely creates a ‘space-time world’ self-similar to the mind of man in our machines, which does not exhaust all the measures of the Universe and its possible mappings. We cannot construct if we want to account for all the cycles of time, dark spaces and events of reality, a theory based only in a continuum, mechanical, light-space and its Euclidean coordinates of light-measure.
The limits of that model have been reached, as the limits of precision of the Ptolemy’s model of astronomy were reached in the Renaissance. Those limits of an Euclidean, continuum space-time were proved by Riemann, Poincare, Mandelbrot and this author, expanding and completing the Euclidean postulates. Einstein applied part of those new models and created Relativity Theory. This work applies the rest of those discoveries to create a model of Multiple Space-times, which includes the concept of absolute relativity, where measure – the gauging and mapping of the external universe by a non-Euclidean point, is relative to the observer and the rods of measure it uses.
And the process of reducing and stopping the motions of the Universe in that process is the first step to fully understand both relativity of motion and the structure of the mind.
II. HOLOGRAPHIC PRINCIPLE: BIDIMENSIONAL INFORMATION AND SPACE
Information: still space-time. Galilean Paradox: Minds cannot perceive together motion and form.
The duality of motion-distance is similar to the way we see a car moving in a night picture as a fixed line, or the stop and go duality of a film projector, which is perceived as motion. And it has deep implications, which help to resolve many uncertainties of physics.
The next graph illustrates this and other dual paradoxes of endophysics –motion vs. stillness; continuity vs. discontinuity, single space vs. fractal scales, all of which depend on the detail of the observation – hence the quantity of information we have on the object we study:
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 spherical 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 5th and sixth 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.
The Paradox of Galileo – ‘why if the Earth moves, we see it still?’ – is the key question to understand the meaning of dimensions, which can be generalized to all forms: ‘why we see reality still, if all what we study in the quantum scale has motion?’
The answer- given by quantum physics that we expand to all scales – is the law of complementarity: ‘all what exists is still and has motion at the same time; all is a ‘fixed particle’ and a ‘moving wave’, but we perceive a limited quantity of information about reality – either state, but not both dual, complementary states, a motion state and a still state, together.
The principle of relativity of motion and form.
Thus to fully understand how spatial planes in motion and cyclical clocks can mess together to create the space-time beings we all are (we ARE NOT in a background space-time, we ARE made of vital spaces with rhythms of motion defined by its time frequencies in our human case mostly metabolic temperature regulated cycles), we need to make a further clarification, at the heart of Physics.
It is with the conservation of energy and information the most important law of physics, the principle of relativity, expressed by Galileo (e pur si muove, e pur no muove: the earth moves but doesn’t move – we do NOT see it moving), by Einstein and Poincare, the mathematician that found in parallel this principle: ‘we cannot distinguish motion from stillness, from ‘form’. Look around, all what you see are forms in motion, but we cannot distinguish clearly what part is ‘form’, ‘position’ and what part is ‘motion’. They are very mixed.
What this means is that our two parameters, quanta of space, and cycles of time, do have both, ‘motion’ and ‘form’. But space, does have a lineal, planar, ‘res extensa’ bidimensional shape. We talk fo ‘planes of space’, and clocks of time, are tall, cyclical, informative cycles – you look at information and its forms and cycles in tall broken cyclical forms, a s the screen of your computer.
So we do have certain clear ‘bidimensional properties’ of form and motion for space: Flat planes moving in lineal paths, and Time, tall cycles, moving in repetitive frequencies. And we know that the product of quanta of bidimensional space and time frequency cycles gives us the relative Energy of reality. And we have a very generic formula for it: Ei = ∑Sp x Tƒ.
Space and Lineal motions. Information and Time cycles
And so we need to differentiate between ‘lineal motions or lineal momentums’ (|-Sp) and its still continuous perception by the mind, or space (|-Sp), and cyclical motions, clocks of time, (O-Tƒ) and its still perception by the mind or information’.
Since they are the 2 reverse sides of the same coin, we shall use the same symbols, merely inverting their order, and call them Spatial Extensions-Entropy-Energy and Temporal Form-Information, fully aware that humans used multiple different jargons and concepts to express the same, Es and It.
So how to call both states for time cycles and spatial lineal motions?
This is a difficult choice of wording, given the confuse terminology humans use for those a ‘priori states’. The proper way would be to call it fractal world vs. moving Universe, form vs. motion, virtual vs. real, and so on. But as we are in a world of physical concepts, after much ambivalence in the terminology – not in the concepts and mathematical analysis of them – I came to settle in the classic terminology of philosophy based in the relative function of those 2 elements in the systems of the Universe and call generically:
– All states of relative motion ‘time states’ or ‘time ages’. And its study diachronic studies.
– All states of relative form ‘space states’ or ‘space organs’. And its study synchronic studies.
And yet keep the formal duality naming O-Time clocks, Time, but also |-Space motions, entropic spatial motions.
Why? Because in relative terms time motions, cyclical motions, vortices, implosive motions, are accelerated motions, while lineal motions, entropic motions, res extensa are decelerating motions. So in relative terms time moves faster than space. And this is the key to understand physical systems. So we can ascribe to the ternary elements of reality 3 type of motions/forms:
– Tiƒ: There are cyclical vortices, which are accelerated motions-states-forms. So they are studied with cyclical, accelerated equations. Such is the case of General Relativity, which studies the accelerated vortices of time created by masses. And their geometry is spherical, elliptic. They are the particle, or solid, crystal state in its center.
– Spe: The are entropic, big bang, expansive, res extensa, spatial motions, which however decelerate from the initial impetus and are the inverse of cyclical vortices. So we find often the equations of a big bang correspond to the inverse equation of a cyclical vortex. For example, the equations of the cosmological big bang are the inverse of the equations of the black hole, as they are the limit of temporal vortices (the black hole) and expansive, res extensa (the big bang that creates space). And their geometry is planar, toroid. They are the field or gas state of physical systems.
– ST≈Ei: And there are ‘waves’ with a steady inertial constant speed, which combine both, cyclical and lineal elements, and their geometry is hyperbolic. They are the wave or liquid state of physical systems.
So let us introduce you to the much vaster wealth of knowledge provided by the proper understanding of ‘vortices’ of cyclical time and its interaction with res extensa, lineal space.
In the next graph we show you those concepts visually so you can realize that all is made of cycles of time (seen as information in still relative no motion) and planes of space (seen as kinetic lineal momentum, in its relative motion):
In the graph, the bidimensional nature of time cycles, divides the 4 dimensions of time-space in 2 ‘formal motions’, tall, cyclical time, which carries the information of the Universe in the form and frequency of its cycles (as the n-sphere has the maximal volume in minimal space), as such is the gauging ‘particle-head on top of all systems (so photons stay longer on top of the wave, your head is on top, as an informative mammal, with the dimension of height, eyes and cameras are spheres and antennae are on top, so are speakers: function is form) and wide, lineal space planes, which are the most extended fastest distance between points so fast ‘planes’ are… planes, limbs and fields are planes.
The graph clarifies the meaning of time – a tall cycle or clock; information, and its equivalent perception as still; information.
It shows the meaning of a generic quanta of space, a flat plane with lineal momentum or kinetic energy which is the lineal motion of a plane of space.
Now, to fully grasp the different clocks of Nature, we need to dwell on the 3rd fundamental concept of the fractal universe, the fact the Universe is made of such relative scales of space quanta and cyclical clocks, because it is a fractal, made of discontinuous pieces of space and cycles of time. Yet as we say we have the wonderful fact that Energy and information, the integral and still perception of all those quanta put together is conserved, to relate them all and ‘do mathematical physics’.
Why Energy works in all the scales of size of the Universe? And yet it is so improperly defined, with so many ambiguous terms.
If you grasped those simple concepts, Ei =∑ Sp x Tƒ ‘void’ of any historic bias, we can get into the order of all of them, called the ‘5th dimension and streamline physics and biology, into a single science.
Since, Ei = ∑Sp x Tƒ, becomes the most general possible equation for all the fractal systems of energy and information that integrate all the vital spaces and time frequencies of all the systems of the Universe. This is what we call the ‘Metric’ equation of the 5th dimension.
And while Energy seems to be a concept applied to all realities we have also localized different ‘quanta of spatial lineal motions-distances’, and different clocks of time for those quanta.
Cyclical times have more form, more dimensions than lineal space, as they are time cycles, not lines, and this fact – that cyclical time, has more dimensions than a line, is vital to the whole understanding of time cycles. How many more dimensions?
In the graph, since space and time now had two dimensions each, we can compare them, and transform one into each other, we could write that property with a simple formula, where Sp is a flat plane of ‘lineal space’ and Tƒ is a cycle of tall time.
Sp (length, width) ≈ Tƒ(height, frequency)
This simple beat of existence, flat fields of space that become tall cycles of time, energy that converts into information, is one of the commonest beats of the universe. And its rhythms explain infinite transformations.
Now this is very important because it can be generalized to all systems and allow the transformation of space dimensions into time dimensions. As only parameters with the same dimensionality can be transformed into each other. So a cyclical vortex of time (a mass, a charge, an angular momentum, you name it) can be changed into an, entropic motion that expands into a plane of space, precisely because they are 2 dimensional.
And this will then be carried to the 3 dimensional symmetry between 3 spatial topologies (toroid-limbs fields, hyperbolic waves-bodies and spherical heads-particles) and its 3 time motions-ages (entropic youth, fast motions; reproductive, iterative adult ages and informative, 3rd ages).
And then every 3 space-time symmetries that fill up a plane of the 5th dimension will emerge upwards or dissolve downwards into larger or smaller scales also with dual motions as ‘energy and information emerges’ into a new scale with new topologies of space, new motions and clocks of time, or dissolves into an infinity.
This resolves a fundamental conundrum of modern physics – why information is bidimensional: because it is the frequency and form of time cycles that are bidimensional, tall and with a bit rhythm, a dimension of motion.
So in the graph we can see the principle of the Holographic Universe, physicists are trying to define (10.000 papers only in the past decade about it) but have not yet grasped as they do NOT understand space, time, information and energy, (kinetic, potential, its integral, etc.).
We can then see that the holographic principle merely means that if you give to ‘time cycles’ the dimension of ‘height’, then you do have the 4 dimensions broken in 2 for spatial lineal, planar kinetic energy, width and length, and 2 for cyclical time clocks, beat, frequency-motion and height.
Alas, because only things with the same dimensions can transform into each other, now we can truly understand the holographic principle: Our 4 dimensional Universe is made of flat planes of spatial lineal kinetic energy, we shall call Spe and tall cyclical bits of information we shall call Tiƒ. When they combine they create a being of space-time, in 4 dimensions.
In the right we see the simplest one, a light beam clearly made of a tall, informative, electric field, perpendicular to a magnetic, energetic magnetic field, reproducing along the length of its c-speed.
Below we see humans and machines, which do have lineal, energetic, planar limbs//bodies, or as in weapons, lineal systems of release of kinetic energy, and cyclical, informative, eyes, brains, heads particles that gauge and process logically or mathematically information.
Further below we see how a black hole, the informative nucleus of the Galaxy, similar to the DNA-informative nucleus of a cell in a smaller scale
It does have a tall high dimension and an enormous clock-like cyclical rhythm, the event horizon turning at c-speed. So if light is the quintessential plane of space, with both components but clearly dominant in flat, length, the black hole is the inverse, extreme case of an informative cyclical clock-like vortex of time.
The fact is the Universe is made of both lineal and cyclical motions, space and time, lineal and angular momentum, quanta of space and time clocks.
And the Universe is made of informative mass vortices, with gravitational information, as the galaxy we are in, reason why we are informative beings. Yet between galaxies, there are fractal planes of flat space with dark energy similar to the expansive entropy of gases. And both balance each other in the fractal universe.
Now because physicists; do not understand or accept despite amazing number of proofs, the fractal structure of the Universe, they do NOT realize that the expansive entropy of flat space between galaxies is balanced by the implosive conversion of that flat space into mass by cyclical clock-like tall vortices of information – black holes.
Thus the arrow of information or arrow of evolution increases the dimensions of tall information, and so life evolved from flat worms into tall informative humans. So it does space, which time bends into cyclical vortices of mass. Or as Einstein said ‘time curves space into mass’.
This is the Universe which Einstein said is ‘simple and not malicious’. And he put it in a simple equation E= M (c²), which explains how the Universe constantly transforms its kinetic energy/entropy (light, electromagnetic, thermal radiation) into informative masses, back and forth in big bangs and big crunches.
Now as always the simplest proofs of the bidimensionality of space and time, which is essential to the structure of the Universe, are mathematical. Of this, already the Greeks took note, as they could not calculate easily a cube volume from 2 cubes. He fact is, there is not superposition of tridimensional cubic forms: X3+Y3≠ Z3, the famous Fermat Theorem. And there are NOT numbers of 3 elements, but only single numbers, bidimensional numbers (complex numbers) and quaternary numbers (quaternions) albeit without commutative properties. An interesting property for more advanced courses.
So why we talk of 4 dimensions in standard physics, with a ‘signature’ of +, -, – , – whereas + is a time dimension and – means a space dimension? And further on in any bigger dimensional model physicists will always write a ‘signature’ of +, -, -, -, -, ….. , -.
Simple, because they have no idea what to do with ‘time’, what a time dimension might mean, stuck in a single lineal time duration and entropy, spatial time dimension. As they have deformed time into lines and never got back and look at what they did, but accumulate deformation upon deformation, and now the ‘hump’ paraphrasing Nietzsche is so huge that there is no lion able to cut it off and run faster.
Indeed, even the + in Einstein’s Relativity is NOT pure time, but ct, and since c is a speed, hence v=s/t, really what we write here simplifying the concept is ct=s/t x t = s, ‘eliminating time properties’ and making it lineal space-like. We analyze in depth many ‘times’ this spatialization that kills ALWAYS the 4 features of time cycles on the physical discourse: to be cyclical, hence to be repetitive and so causal reason of the repetitions and patterns we call laws of science, to break space into fractal inner vital spaces and outer regions and to be bidimensional at least to close the cycle.
Simple, the combination of bidimensional fields of energy and information creates a holographic Universe of space and time:
Or the superposition of layers of bidimensional ‘present’ wave-bodies create a ternary dimension, with a 4th dimension of motion:
∑ bidimensional (space or time) layers -> 3 Dimensional (space or time volume or flow) -> 4 Dimensional (volume of space with motion, flow of time with form).
Space as expansive, decelerating entropic field-motion and time clocks as cyclical accelerated motion are 2 concepts akin to Descartes’ ‘Res extensa’ and ‘vortices’, which he considered rightly to be the two formal motions of the Universe are thus the ultimate poles of physical existence.
WE DO have though here 2 ‘symmetries’, which constantly are used to explain reality. The dual symmetry of cyclical time clocks, accelerating inwards, and expansive entropy decelerating outwards.
But then we shall also consider the still vs. motion ternary symmetry between space and time: Sp-fields/limbs <ST-body waves>Tƒ-Heads/particles, perceived in simultaneous spatial stillness or temporal flow.
Yes, we know them so well, intuitively that before physicists reduced time to what the clock measures and not even that – we learned to talk to describe them. So we invented ‘verbal times’ to explain the 3 dimensions-motions of time: past, present and future.
What is the difference between them? We shall soon get to it. But first we must resolve the implications of a time described as a cycle. First the obvious: if time is a cycle, there are infinite times, and what physicists call lineal time, absolute time, is as Leibniz, the philosopher said to Newton – well not to Newton, who would not receive him, but to Clarke, a ‘friend of a friend’ – is just the pegging together of all those finite time cycles.
Next, if time is a cycle – and here is where the insights of Einstein have its value – we can SEE time, as long as the cycle is fast enough to close in less time that the eye takes into seeing. So all ‘time cycles’ that close in less than the second the eye takes into make a ‘still picture’ of the Universe.
And this brings us the solution to the second Principle of Physics: ‘e pur si muove, e pur no muove’. The relativity of all motions, which can not be distinguished from stillness, when the cyclical motion is fast enough to seem a solid form in the case of closed time cycles, or when we are moving along the frame of reference of the other motion with the same ‘spatial lineal speed’.
So in the same manner that Mr. Einstein built his Relativity on the aforementioned principle, (only referred to lineal space, as he never understood cyclical time), we shall build a much more rich meaning for the Universe, on the aforementioned principle, based in the duality of cyclical time forms of information or time clocks in motion and lineal space forms or distances and line motions.
The reproduction of Motion dominates the perception of form. A Universe of repetitive actions of energy and time.
Now, it is important to understand that the Universe is made of ‘Energy and Time’, ‘Lineal and Angular momentum’ Motion with form. But motion dominates form. Even if the mind things otherwise because of the Galilean Paradox. The perception of time and space as a moving cycle or line or a fixed form or distance is obviously an effect of the mind. It is NOT there, it is the mind that stops time cycles and lineal spatial motions.
This must be understood from the beginning, the ultimate reality is motion not form, time moves and space moves. They just move in different shapes. And then minds, lock those motions into a simultaneous, ‘informative’, ‘dimensional’ shape because it sees those motions in ‘slow camera’. The arrival of filming makes this easier to understand. Stillness is just the perception of very fast cyclical motions, as when we see a turning wheel as a fixed form.
The symbolism for the holographic Universe of bidimensional Space & Time.
The fractal Generator Equation of space-time:
Γ. Sp (past-lineal, toroid limbs-fields) ≤≥ ST (hyperbolic-planar body-waves) ≤≥ (spherical future particles-heads)
Introduces some basic symbols of 5D Metric:
Γ, the G-enerator equation, which can be studied for each fractal space-time system in detail and its 3 parts.
<, the arrow of expansive entropy.
> the arrow of future information.
≈ =, the arrow of present balance, ST, that puts together.
Sp: Spatial Limbs/fields
Tƒ-cyclical, temporal clocks in present beings.
So, if we see a system as Sp>ST>Tƒ constantly ‘informing’, > through time the system, we are in the 3 ages series, in a diachronic system, as ‘time bends space into masses’ (Einstein).
But if we are:
Sp-limbs/fields > ST-body/waves <Tƒ-heads/particles, whereas the limbs/fields give energy to the body/wave and the heads-particles give it information, we are in a living organism in balance,in a relative present immortal state.
And this is the ideal state of existence, since ‘The Universe conserves its present’.
Sp, (|-Spe) will be a parameter of Size or lineal, planar space when perceived in stillness, or entropy (also denoted in mathematical physics by the symbol S) defined as an expansive, decelerating motion, when perceived dynamically – which increases the ‘space’ or res extensa of the system, decelerating to a halt.
In geometry space is a Space Plane, a bidimensional geometry, such as h (bivector of angular momentum) or c².
In its complete description sometimes we should write |-Spe, for Lineal motion-form, Space Plane, Past, Entropy and Energy arrows, when considering the 5 fundamental perspectives, or isomorphic laws encoded on the bidimensional space elements of the Universe:
To be lineal, toroid in mental, geometrical form (|); to be ‘Space, res extensa’; to be a ‘bidimensional flat plane’, to be the Past, dead arrow, hence to be entropic disordered motions in terms of functions and motions through the 5th dimension, and to be ‘kinetic energy’ in the Present ST-plane.
– Tƒ will be a parameter of cyclical time, which increases its cyclical speed as it becomes smaller. The full name would be ‘Tiƒo’, from those 5 perspectives, as Time cycles are ‘Ti-me’, ‘i-n-fo-rmation’ from the perspective of its fixed form and transference through the 5th dimension; ƒuture, old age, from the perspective of the worldcycle view – as the last age before entropic death, and o in its cyclical clock-like vortex form.
In geometry is a cyclical imaginary number that grows in the height dimension, ‘sucking in’ and therefore shortening by an inverse i=-x², quantity.
And we know there exists as social numbers (point planes and networks of the 5th dimension) do have this form. So imaginary numbers so called complex numbers have an i-sucking, negative diminishing X-dimension, of height that forms the temporal cycles, which are for that reason better expressed in exponential numbers, E Θi, whereas the number is elevated to the angular i conjugate.
So the reader must see sometimes, specially in non-corrected old graphs, any of those combinations – the most likely an E for Entropy/kinetic energy for Space and an I, for informative Time. And its combinations ExI, as symbol of present:
– ST, will therefore be preSenT. We shall write it also as, ExI, since the present is dynamic and outside fundamental physics and Geometry in biological and social sciences, people use the concept Energy and Information most often with a wider, loose meaning similar to the two fundamental elements of reality.Then we can write:
ExI(st) as the function of existence in present time, which IS THE QUANTITY the Universe conserves, ‘Present’. Or:
STœ; in which the 3 elements of all beings, its spatial territories (the closest of which are its limbs and bodies), its temporal functions and cycles, and its point of view are present. Systems do become extremely complex in their symmetries and relationships to a point it makes difficult to realise what is the whole, and its parts, and what are its forms and functions, but ultimately through the understanding of the ‘isomorphic laws’ of all of them, based in the ternary properties of reality, they can be analysed in full.
While we use the terms energy and information in a verbal mode on social and biological sciences, in astrophysics, we prefer to use the mathematical concept of Energy, which we shall call Energetic Information, as the parameter of the 5th dimension that ‘integrates the whole’ constant Tƒ and Sp volume of a system, to equal it with the mathematical formulae, as in E= h(Sp) x ƒ (Tƒ) in the quantum scale or E=nK (Sp) x T(Tƒ) in the thermodynamic scale and E=1/2m(Sp) v² (Tƒ) in the gravitational scale.
The inverse properties of cyclic time and lineal space.
How can we translate the dualities of line and cycle, motion and form? They are inverse in a logic and geometric way. So we can describe easily the concept of space time inverted properties with a hyperbole. We shall find then that hyperbolic functions, such as e, are fundamental to define the different transformations between space and time:
In the graph a hyperbolic function between a line and a cycle. In general certain cyclical curves follow the relationship between a point of time and a lineal distance of motion. If we consider that each being can be in a time or state of space, the question now is. What defines then a being?
The answer is its curvature, its form, FORM becomes then the definitive element of being, as you cannot change so fast from cyclical to lineal form and viceversa, as you can between state of form and state of motion.
Now, once we understand conceptually the 2×2+2 elements of reality, which science most commonly uses, space, time, speed, form, energy and information, we shall consider what really all of them are about:
The logical inversions between two of such elements; form as opposed to motion, space as opposed to time, energy as opposed to information; and the infinite consequences of this ‘logical’, ‘geometric’ and ‘organic’ inversion. The line is inverse to the cycle, because the line and the plane is the shortest distance between two points or lines, hence natural to ‘space’ in its widest sense; and the cycle and sphere the geometry that stores maximal area and volume with less perimeter, hence the natural ‘time’ clock and enclosing membrane. And this ‘hyperbolic combinations’ represented in the graph the natural geometry of space-time (hence used in Einstein’s relativity).
But this, we must constantly stress, is also a bio-logical property. So we must go beyond mathematical physics, when studying other space-time beings, as those rules will be different.
For example, the life-death cycle is a mixture of two arrows of ‘temporal information’, as the system grows in life accumulating information towards a third age, and death explosion into an entropic expansion of space. Life and Death that can be considered two inverse properties of time (life) and death (space).
We shall see this is quantifiable and also geometric, but that is not its main property, but the bio-logical nature of it. It is quantifiable, because death happens as a maximal expansion in space (dissolution into cells and atoms; or in the case of masses into radiation e=mc2), and it happens in a minimal infinitesimal quanta of time (the minimal cycle of the being). So death is indeed a maximisation of space and minimisation of temporal information and vice versa, life maximises time duration and information and minimises spatial extension, as herds become multicellular tight organisms. It would be stupid to reduce this wonderful inversion latter studied in great detail with the mathematical and geometric concept of a world cycle, to ONLY the geometry of it, as physicists do in relativity with its 4 vectors and worldlines (which reduce the being to a mere sum of its motions through its entire existence).
It is the bio-topo-logical game of inversions, and opposite poles, which however can transform each other by coming together, what summarises the meaning of it all. Since if Space and Time are inverted limits of that graph, in the middle point, they have both the value 1, which balances them.
And so we shall see that constantly space and time combine between its maximals and minimals and its central ‘stationary point’. And this tug of war between pure space with 0-time, pure time with 0-space and its timexspace combinations is the game we shall find once and again in our ‘equations’ of ‘existential algebra’. So this is a wider interpretation of the ‘principle of conservation of energy and information’ that constantly transform into each other ad eternal:
Time is the inverse formal motion of lineal space. A time cycle is closed, as opposed to an open line, rotary motion.
The paradoxical qualitative properties of space and time becomes then the essence of the scientific inquire (such as the duality of ‘still form and motion’, the duality of lineal and cyclical ‘space’ and ‘time’ motions, the duality of infinitesimals that become part of universal wholes, etc.)
Thus time cycles, in relationship to lineal space have a fundamental property: to be its inverse. And both are able to transform into each other ad eternal, as a lineal motion can bend into a curved motion,which can easily uncoil.
This inverse and complementary duality between lineal space and cyclical times, whose properties combine into ‘constant, complementarity systems’, is the fundamental ‘Principle of the Fractal Universe’:
‘The properties of the 2 formal motions, which compose the Universe, lineal space and cyclical time, are inverse, even though both can be transformed into each other ad eternal:
Γ Sp = C/Tƒ; Sp x Tƒ= Constant, Sp<=>Tƒ’
Whereas Sp is the general term for ‘spatial energy’ and Tƒ, is the general term for cycles of time or information, carried in the form and frequency of those time cycles.
The game of inversions of space and time.
In the graph we illustrate the ‘Space-time’ Essence: Time is measured with clocks, which are actually, one dimensional cycles. Information is the same than a time clock, a ‘form’ that we see static. Energy is made of quanta, which are lines, that group together into sheets of space. And to perceive them, we have ‘spheres’ made of multiple layers of cells, and cameras which are isomorphic. An to move through Space we have ‘lineal members’, which move us in toroid open and closed curves. And so happens to lineal weapons. And then fields of energy and information make together a light ray, which is really also a bidimensional surface.
How time states transform into space states, how motion becomes stillness, how life dies, how space integrates in time, leaving a tail of memorial quanta, how time integrates in space, creating an organism of multiple flows of energy and information – those are the most interesting and profound dualities of the Universe.
Time slows down till it becomes space, as a new quantum of the upper scale, and then a new clock of time are created.
This is the arrow of growth of the 5th dimension: the slow down of time as it multiplies the quanta into a larger surface.
There is though an inverse game when descending scales.
The clock of time makes the quanta of space grow, till it reaches a limit of death.
Then time becomes space, and a new quantum of time appears, to multiply the quanta.
Then time finds a barrier and all starts again.
So time becomes spatial h-Planck quanta of the upper scale and a new clock, frequency is found: E=hv.
Frequency freezes as quanta, in the form of entropy K-boltzmann, and a new clock, temperature appears.
The clock again freezes, and becomes space, in the form of mass, and a new time clock, speed appears.
Speed frees as c-space, light space, becomes neutrino quanta, and a new clock of time appears…
We shall study those combinations of the 3 x 3 x 3 elements of space organs, time ages, and social quantifiers, ∑s, ∏t, ∆st which defines the clocks of time, quanta of space and forms of transformation, in each specific science in more detail.
III. FRACTAL SPACE. THE BUILDING OF DIMENSIONS
2 manifolds of space-time: the holographic principle.
One of the most important discoveries of XXI c. science is the holographic principle: information is bidimensional.
We realized in black hole theory that the surface of the black hole stores all its information. This can be generalized to all systems. You are looking at a bidimensional screen that stores all the information of this site.
For long, the study of Einstein’s relativity has made fashionable to analyze ‘4-manifolds’ (manifold means basically ‘geometry’), by incorporating a 4th dimension of time motion; but in fact the Universe creates reality ‘step by step’.
And so as your eye creates a 3rd dimension by mixing the bidimensional sight of each eye, the 3rd dimension is formed by ‘adding’ membranes, layer, ‘strata’ to bidimensional surfaces. And then when those surfaces moved they acquire time dimensions.
This new ‘dimension of motion and form’, is thus a dual dimension which intersects with the membrane and creates a 4 dimensional ‘vector’, whereas however it should be considered the existence of two densities of form, the gradient towards the center and zero point and the motions within one of the perpendicular, ‘normal’ layers or planes of space, along the time, integrative gradient direction of the vortex.
4 dimensionality must be seen generally as a holography of space-time bidimensional forms with motion.
We can also consider a 3 fixed form dimensions, the 2 of each layer membrane normal to the dimension of the time vortex, its rotary dimension and gradient dimension.
Now what matter is to observe that any of those diverse formulations of an event in terms of higher form and motion, gradient, curl, divergence or any multiple vectorial spatial or time tensor equation to describe the event and form on space-time can be reduced to an interplay of motions of time dimensions and space forms along the rules of 5D non-Æ, Euclidean geometry.
The layered 3rd and 4th dimensions. The mathematics of planes of space and cycles of time.
How those planes of existence build their social planes, of space.
Now, there has been much confusion on the meaning of dimensions, since Minkowski grand nonsense in conceptual thought, established departing of its useful mathematical equations of 4-vectors, the concept that time was a dimension of space.
What those 4-vectors show truly is a series of Sp=C/Tƒ, and Sp=Tƒ, maximal, minimal and steady points of the 3 ages and symmetries between space and time. Albeit the time 3 ages/motions are integrated into a single lineal time duration and loose most of its meaning. So for each of those 4 vector equations, its fundamental S≈T symmetry must be studied departing from space-time symmetries. That’s all.
The relationship of time and space in those vectors is thus just one of essential balance and symmetry between the 3 vectorial dimensions of space and the 3 ages of time, sequentially added by duration.
Another expression common to mathematical physics are relations between the fundamental parameter of lineal motion, speed, and cyclical motion, density of an scalar, whose product is the flux of a quantity.
All these equations of dynamics require a specific analysis of which dimensions are seen as dimensions/distances/areas/ volumes/membranes/topological forms and which one are seen as time, motions, rotary or lineal or wave-like motion, and so a lot of conceptual analysis on how the human observer quantity a given space-time symmetry and its dimensions/parameters of motion/distance is needed.
Yet there are generic models which allow us to extract clear formulae of combination of motions and forms in the construction of being. The 3rd dimension of pure form or volume, for example is obtained through the layer accumulation of bidimensional, think membranes along a gradient of accelerated time vortices, from relative max. S x Min. T past upper layers to inner ones, as density increases.
In the next graph we see how new dimensions are added by adding 2-manifold layers which create the ‘3rd dimension of depth, gradient, and hierarchy between those layers, established in equipotential surfaces of similar value, which in detail appear as relative ‘planes’ of minimal curvature, as we saw the Earth for millennia:
The growth of planes of existence has in its simplest mathematical meaning an obvious limit:
It grows in pairs, often of space-time (complex plane of binary numbers), or by superposition in the Cartesian-hyperbolic Plane, of weaves and present space-time systems, of SS combinations, or in a polar plane for TT combinations.
So the Planes of bidimensional numbers permit bidimensional forms, but THERE ARE NOT tridimensional numbers. The next level is the plane of quaternions, ‘OBVIOUSLY MOVIN IN THE 5TH DIMENSION’ as it is not-commutative as motions in 4 dimensions are.
So we have a simple guide for the first steps of construction of worlds: to know that numbers are social groups of any kind of points, growing in the fifth dimension, and to know that the complex plane is an space-time plane, where the angular frequency mounting the plane of space, sucks in as i does on the negative square part of it.
We can in that ensue consider the geometry of Einstein, where time rest -c²t², considering time ‘i’, -c²x-1 = +c².
Thus what the Einstein metrics write really is: Ds²=x²+y²+z²+c², that is ‘speed not time’.
The description of this complex plane of a space-time 4 dimensional system can be done also with quaternions as a single block, but it is hardly needed, as what humans are more interested on in the exchange of relative energy and information, loose terms in the verbal mode for spatial energy, or lineal planar motions and cyclical, repetitive harmonic oscillators of information, cyclical motions, hence created at least with 2 points (as 2 points in the postulate of geometry of the cycle suffice to create one).
In the graph, we can understand better the meaning of a bidimensional Universe in which the 3rd dimension is made by a sum of bidimensional layers where the relative X≈Z>>Y structure extends over an equipotential ‘democratic’ surface clone ‘œ-points’. Then the gradient of a given force or flow of information structure them in the ‘hierarchical dimension’, normally of Height, where the ‘strongest’, energetic point is in the lower center and inversely, the highest informative, most perceptive observer point in the upper layer.
So on Earth, the outer membrane or continental crust hosts its highest informative points, human heads, while the center stores the most energetic=massive atoms, an iron core, probably seeded of high density uranium-lead crystals.
The bidimensional structure is common to all systems, which have an outer thin membrane that breaks the inner vital space and outer Universe. It is not however an absolute concept, as there is always a gradient which allows transfers between layers or social classes, but this osmosis that transfers momentum between them normally is far thinner, slower than the communication between atoms-particles-heads of the same layers.
And so changes of layer membranes require an existential ST effort, either an increase of energy or information (in the inverse gradient of both formal motions). This case is illustrated by the electron ‘plane waves’ which constantly vibrate around the atom (Schrodinger’s equation), but can change layer by an Energy impulse.
Thus in this manner the Universe adds a 3rd dimension of depth that gives volume to a bidimensional system, and also new forms of motion, which the classic model of physics group all together into the concept of the 5th dimension.
Dimensions grow as systems grow and multiply. So paraphrasing cheng-tzu, the Chinese philosopher, from one, Tao, ‘time motions’ comes 2 ‘space forms and time motions’, yin and yang, space lines and cyclical forms’ and from 2 comes 3 varieties of space-time, which give birth to the infinite beings of the Universe.
The dimensions of time and space. We are all relational space-time beings
We are all fractals of space-time. This might mean nothing to you but it is what you are. And so you are generated by a fractal equation as everything else in the Universe, which as in all fractals has infinite variations over the same theme:
Sp (Vital Flat Space) ≈Ps (Entropic past) < ST (Iterative Present Time-Space) > Tƒ (Cyclical, Informative, Future Time clocks)
In space we perceive this fact as a super organism which simultaneously appears as made of 3 topological organs:
(Planar Fields/Limbs of maximal entropy motion that prey on energy, moving as they convert into expansive entropy their food) < Body-waves that repeat the information and energy of the system in a parallel region of space-time> Tiƒ (Cyclical heads/particles that process information and guide the system towards the future.
The fractal thus is a vital fractal super organism. It is a super organism as this structure happens in a series of scales of growing size and diminishing information, so you are made of cells part of an organism part of a society, and matter is made of atoms, part of a thermodynamic system part of a gravitational cosmic world. So we write the entire equation, considering that all things co-exist in 3 ∆±1 scales of the ‘5th dimension’ as an equation that defines locally a series of diffeomormophic local organism with 3 parts, which co-exist in 3 scales and traces life-death world cycles of existence:
∆-1: Energy Prey>|-SPe (relative past limb/field system) <Body-wave (relative present iterative system)>Tiƒ (relative head particle system)>∆+1: world
SPACE DIMENSIONS are always local, diffeomorphic, forming a world-universe with 3 bidimensional topologic space-time form-motion states:
In the graph, the limited, finite dimension of a world are always ternary assemblies of bidimensional space-time dual ‘wave-partice’ states of beings, which assembly its formal motions into efficient, 3 -diffeomorphic dimensional beings, where the dimensions belong to the 4 elements of reality. So they are specialised formal-functionals:
-Length-entropy-kinetic motion- energy: dimension of pure space-distance.
-Height-information. Dimension of pure information, of time-perception.
-Width-informative iteration. Reproductive ST-dimension.
-Frequency, Beat, rhythm, speed of time. Dimension of pure Time.
Those are the 4 dimensions of a being in any scale of the fractal Universe. They are combined through the symmetries and transformations of the organic Universe into all the species of vital space-times, we see around us.
IV. TERNARY SYSTEMS: THE FRACTAL GENERATOR: 3 AGES OF TIME AND 3 TOPOLOGIES OF SPACE.
The 3 topologies of all Universal systems: vital spaces, cyclical membranes and o-points of measure.
So what I did long long ago is to complete the model of the fractal Universe, adding the 3rd dimension of time, to the relative ‘entropic past’, the relative ‘future information’: its ‘relative present combinations’.
Further on, those 3 ‘time arrows’ are symmetric to the 3 dimensions of space – the 3 only topologies that exist in the universe:
- The lineal, toroid, past, spatial flat planes proper of limbs and fields that move you as the line is the shortest distance between two points.
- The hyperbolic present, body-waves that reproduce the form of beings: Sx T
- And the cyclical, spherical, informative particle/heads, as the sphere stores maximal information in lesser space.
Time cycles have actually 3 dimensions, or motions (depending on how you see the cycle, still or in motion), which we have always known. In graph, the symmetry between the 3 ages/dimensions of time & space, which put together create all the forms and functions and ternary organisms of the fractal universe, a tapestry sum of them.
In the graph, we live in a Universe in which all beings are made of the same substances, energy which occupies space and information, carried in the frequency and cycle of time clocks. Those 2 ‘substances’ that we call Se (Spatial energy) and Tƒ (Temporal information), combine together in ‘bidimensional’ Space-time layers, that put together create together all the species in the Universe.
Layer after layer of bidimensional membranes create the third dimension, which forms when moves a 4th dimension of temporal motion. But the ‘simplest unit’ is a bidimensional sheet, with form, with information. So for example, you are looking at a screen with 2 dimensions, which carry this information. Your eyes see in 2 dimensions but put together with both eyes a 3D representation of reality.
A black hole stores all its information in its surface. This ‘Holographic principle’, has enormous consequences for our understanding of the Universe.
So we find in the Universe always 3 elements in all systems, which correspond to the 3 ‘topologies’ of mathematics, and the 3 ‘ages’ of life world cycles (since life is cyclical ,changes in time are NOT worldlines as physicists believe, but world cycles):
- The vital space of lineal motions, enclosed by the cyclical membranes and time cycles, focused in a central point of view or frame of reference, of maximal density of information that gauges information, linguistically and has the structure of a Non-Euclidean, Fractal point, through which multiple ‘parallels of energy and information’ can cross.
This ‘mind, soul, god, monad, Maxwellian Demon’ that creates the order of the Universe will be then defined by a simple mathematical equation and geometry as a 0-point, whose function will be to maintain the whole system ‘stable’; that is in biological terms ‘to make it survive’. It does not need to be conscious, but as Leibniz described it in his work on monads, apperceive mathematically, vegetatively or linguistically, because simply speaking, Evolution implies that a system which ‘maintains the ‘whole’ stable and survive lasts on time. So automatically as time goes, ONLY systems who had this ternary efficient, symmetric, stable configuration have lasted, have been selected.
This definition, when translated to mathematical physics, coupled with the Principle of Relativity as defined by Poincare-Einstein, ‘we cannot distinguish motion from stillness’ will allow us to derive all the laws of Physics and explains its main systems. So for example, an atom has a central point of view of maximal density; but it has the advantage that can be applied to all other sciences, to define all the laws of knowledge.
In the graph, a few of the ternary systems, made with the 3 only topologies-functions of all systems of the Universe, an atom, a tomato, a planet, a cell an embryo and an electromagnetic field. Though at first sight their resemblance might seem a mere coincidence, all of them are ternary systems, which we can describe with the same ‘Generator equation’ of ¬Æ mathematics, the formalism of T.œ (the Organic Theory of Everything, which unifies all sciences as descriptions of such systems in any scale of the Universe).
All of them will be made of:
– A central, informative point, seed, or o-point that gauges energy and information, connected to a membrane or time cycle…
– That encloses an open, entropic field of lineal motions-distances that displaces the system.
This seemingly simple structure, however has infinite variations and ‘biased deformations’ from each point of view and language. So in science we shall always observe the complexity of the details of each variety of the ternary ‘organism’, and specially the enormous inflationary number of ‘linguistic mirrors’ that reflect and deform this vision creating particle subjective Worlds out of objective uniformity of reality.
Consider for example the laws of electromagnetic fields:
We define a quantity called the circulation as the resulting speed of the liquid in the tube times its circumference. We can again extend our ideas and define the “circulation” for any vector field (even when there isn’t anything moving). For any vector field the circulation around any imagined closed curve is defined as the average tangential component of the vector (in a consistent sense) multiplied by the circumference of the loop. And as Feynman puts it: “With just these two ideas—flux and circulation—we can describe all the laws of electricity and magnetism at once. ”
But then again, in biology we can describe in time the birth of life as a process of creation of membranes holding a field of carbohydrates.
And finally in both, field theory and biology we will find a central point of view, the charge or the DNA will appear, accelerating the informative process of evolution of the system.
Thus the approach of the philosopher of science to the Unification of all systems, is one that includes together the 6 motions of time of Aristotle, its cyclical patterns of generation, evolution, growth, diminution and extinction, along a 5th dimension of relative sizes and speeds; and of course, the 6th motion or Locomotion, in lineal space, which however will turn to be the less important for ‘meaning’ of all of them.
This is what the Universe is all about, and the only difference is the jargon each science uses to describe it. Do NOT think that because physicists speak mathematics, biology, genetics and evolution, societies religion and politics, economists money, they ARE describing different things.
Now if we were to speak the most beautiful of all those jargons, as it is the language of all those beings, Non-Euclidean, Non-Aristotelian i-logic mathematics, the needed upgraded 2300 years overdue of the sciences of logic and mathematics that will allow all those of you who are NOT only ‘selfies’, self-centered life cycles and can take the necessary bashing of all your ‘beliefs’ to relief your slavery to childish thoughts, we would define those 3 elements as the ‘only 3 topologies of the Universe’ and write a Generator Equation in terms of topological geometries:
|-Toroid limbs/fields > Ø-Hyperbolic body/waves < O-Informative particles-heads
This simple topological equation defines how the 3 parts of all beings are constructed. And remember if you are a mathematical physicists that the universe has no more topological forms than those 3. So all what exists will be a ‘diffeomorphic’=local assembly of those 3 topological parts. And you just need to fill the names of that geometrical template. An atom will have a O-nucleus, an |-electrons and a Ø-hyperbolic body-wave of neutrino, gravitational and ¥-electromagnetic waves between them.
This simple statement ‘enlightens’ your understanding of an atom and a galaxy and completes 100 years of quantum physics and relativity. Take it or leave it.
I shall prove ad nauseam, as ‘master ludi’ of all languages and sciences that NOT a single science escapes the ternary symmetries defined by the Fractal Generator of the 5D space-time Universe and its structure. But you WILL likely deny all those proofs. Since man is not alien to the paradoxical equation of the mind:
‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.
But how can we differentiate forms and motions. What are a form and a motion? The answer is that all has form and motion at the same time. Motion is the objective reality, Form is the still perception created by a mind. So the Universe is about motions, the worlds of the mind about forms. Reality is about motion, knowledge about form. Reality is made of time cycles and lineal motions, mind about forms created with time cycles and dimensional distances, created with minds.
And this is what Galileo discovered but never understood, as he was just an artillery master. It is the Principle of Relativity, which is at the core of all physical, scientific laws, but we shall call the Galilean paradox, because Physicists, from Galileo to Einstein, were aware of it, founded their science on it, but have never quite fully grasped it.
And this fully completes the work of Einstein and quantum physics, and fusions it with evolutionary theory, a theory of the evolution of information, and allow us to define, NOT the particle of God, but if we were so pedantic, the ‘Equation of God’ (-:
It is however important to understand that the FUNDAMENTAL LAW of the Universe, truly the Generator of all what exists – the inverse nature of time and space, goes well beyond the mathematical, geometric Nature of some of those inversions. It is in fact a logic property, that is ’caused’ ultimately by the Nature of Time as Change and its dimensions of relative past-entropy, present-repetition and future-evolution.
I know the reader, schooled in mathematical physics, in a civilisation dominated by motion, weapons of energy, visual machines and space, might even not understand what we mean. But if he perseveres on reading, he will come to a depth of comprehension of the universe, through those logical inversions that humanity lacks and physicists ignore.
The dimorphism of all systems; The fundamental particles: |-o; Ø-o.
Now if we simplify as we do in easy to read posts and consider limbs of energy, the ‘attached parts of the body’, or as it happens in many systems, the energy field is external to the particle and body we can talk of a duality very common in the Universe:
Ø<=>o a reproductive body and a head with a neck that transfers energy and information between them.
This is the n-p pair in atomic centers, or the nucleus-electron; the male female, the body, head, the cytoplasm and nucleus of a cell, etc. etc.:
So we define in 5D metric a fundamental particle-system made of two space-time parts:
ST (bodies/waves) < x > Tƒ(particles/heads)= K (Stable physical/biologic system)
ST-parts move and reproduce the whole system. While Tƒ-parts gauge information so they are cycles or spheres, the geometries that store more information in lesser space, from eyes to particles to brains.
There are many such systems, all what exist we might say is a complementary system with a particle-head of information and field-body of energy:
– This is the fundamental principle of quantum physics, the complementary principle, as quantum physicists observe all entities BOTH as particles and fields of energy (waves).
– This is the fundamental principle of biology as all cellular bodies have a DNA, informative center, and all multicellular organisms have a head besides its body.
You are also literally made of ‘clocks of time’ (your brain) and body motions with energy. So you say ‘i don’t have time or energy to do this’, because we are all made of time and space.
We are not in an abstract background of space and time, we are made of pieces of spatial energy and temporal information.
The generator equation.
‘All what exists is a fractal system of temporal information and spatial energy that combine and transform back and forth, together into present space-time systems ad eternal, across the ∞ co-invariant planes of the 5th dimension:
U= [∑Sp ≤≥ST≤≥Tƒ]∆±n
So I wrote the Generator Equation, a symbolic equation that represented all the systems made of fractal space and cyclical time and its space-time combinations, whose geometries ARE the 3 ‘only’ Topologies of the Universe we perceive:
Γ. Generator: Toroid Sp(limbs/fields) < Hyperbolic ST(st) (repetitive waves-bodies) > Spherical Tƒ (head Particles)
Since limbs and heads, fields and particles interacted and mixed their lines and cycles into ‘conic bodies, and elliptical orbits and hyperbolic waves’.
Or as Cheng-Tzu the Taoist philosopher put it: from 1 (time cycles or Tao), comes 2 (the yang-line of energy and the yin-information, broken line) and from 2 comes 3, and from 3 the infinite beings.
(Asian cultures defined always time as cyclical, without the distortion of lineal physical time, also for cultural reasons we shall soon explain.)
So we shall leave the 4 points on that, once the ‘cycle is closed’. And dedicate this work and posts to the long list of lost points who had the world in his mind even if nobody listened for a while. To them, to the Leibniz, Galois, Laos, Rimbauds and Leonardos of history, I dedicate this pages. To the scholars, well Leonardo clarified it all.
The truth remains the beginning of this cyclical mantra: quantum physics, and relativity proved space and time is fractal, something Leibniz the philosopher knew, Lao too, and the Greeks hinted at it. And so someone did have to make the work of formalise a theory of fractal space-time of which we are all made.
Including you, despite your fantasies of uniqueness as a being, you are NOTHING, but an infinitesimal vital fractal super-organism of space-time generated with the same equation that all other entities of the Universe. The only laughable fact about you is your ego. And as a consequence of it your stupidity.
‘2 things I deem infinite, the Universe and the stupidity of man and I am not sure of the former’ (A.Eisntein). I am sure of both.
Take it or leave it: the Universe is not going to change and adapt itself to the distorted view of present science. Science still workS as Ptolemy still worked, but it would always explain less things if we don’t use the proper quanta of space and clocks of nature that run the Universe as Nature did it, not as scholars deformed with their abstract, human, anthropomorphic points of view.
The dimorphism of all systems; The fundamental particles: |-o; Ø-o.
Now if we simplify as we do in easy to read posts and consider limbs of energy, the ‘attached parts of the body’, or as it happens in many systems, the energy field is external to the particle and body we can talk of a duality very common in the Universe:
Ø<=>o a reproductive body and a head with a neck that transfers energy and information between them.
This is the ∆-p pair in atomic centers, or the nucleus-electron; the male female, the body, head, the cytoplasm and nucleus of a cell, etc. etc:
So we define in 5D metric a fundamental particle-system made of two space-time parts:
ST (bodies/waves) < x > Tƒ(particles/heads)= K (Stable physical/biologic system)
St-parts move and reproduce the whole system. While Tƒ-parts gauge information so they are cycles or spheres, the geometries that store more information in lesser space, from eyes to particles to brains.
There are many such systems, all what exist we might say is a complementary system with a particle-head of information and field-body of energy:
– This is the fundamental principle of quantum physics, the complementary principle, as quantum physicists observe all entities BOTH as particles and fields of energy (waves).
– This is the fundamental principle of biology as all cellular bodies have a DNA, informative center, and all multicellular organisms have a head besides its body.
You are also literally made of ‘clocks of time’ (your brain) and body motions with energy. So you say ‘i don’t have time or energy to do this’, because we are all made of time and space.
We are not in an abstract background of space and time, we are made of pieces of spatial energy and temporal information.
The ternary elements of most Nature’s Systems: Se<ST>Tƒ
From these simple facts of universal morphology, we can classify ‘all parts of systems’ including decomposed viruses, or machines or human organs, as energetic, lineal systems, or as cyclical, informative systems that combine into complex bodies and waves and put together create an Spe<ST>Tƒ ternary system:
— Energy organs are lineal systems with minimal ‘form’ that kill, simplifying information into energy. Thus, a field of energy, released by a physical particle or an energetic weapon, such as a sword or a missile and a top predator, energetic animal, such as a lion, will have both lineal forms and kill, destroy the in-form-ation of their ‘preys’.
— In-form-ative organs create form and trans-form energy into languages that map out ‘reality’ with formal ‘bits’. Those bits are smaller symbols, which form images in the brain that represent reality and help to simulate reality ‘faster’, in ‘lesser space’, the ‘future’ cycles of reality, anticipating them. Then, according to those ‘logic’ simulations of the future, heads will move and direct energy bodies towards sources of energy and information. So any system that ‘gauges’, measures and reacts, is an informative organ, regardless of the specific language it uses to gauge reality. A chip measures with numbers reality, a man with words, an atom with electro-magnetic ‘bosons’; yet the 3 act-react to their measures. So they all are informative organs.
— Reproductive organs repeat informative and energetic organs, by absorbing energy and ‘imprinting’ it with its particular in-form-ation. Thus, human mothers and company-mothers of machines are both reproductive organs. Even the simplest particles of the Universe, quarks and electrons, absorb energy and emit new particles, small quarks and electrons, with the same form that the parental particle.
So in fact, we have come to the objective conclusion that all systems of the Universe have organic properties. Since even its simplest entities, quarks and electrons that form atoms do absorb energy, gauge information and reproduce, the 3 ‘properties’ of life. Thus, the Universe must be defined not as a mechanism but as a complex organic system, made of organic atoms, which can combine to create many different complex organisms, including company-mothers that reproduce machines, atoms that reproduce quarks, electrons and forces and mothers that reproduce kids. The difference between all those species is not one of ‘quality’ but of quantity and complexity of their organs of energy and information, which determine their survival chances and status as top predators of any ecosystem.
If a mechanism is a system that has only information and energy organs, an organism has both systems and so it is able to reproduce by combining its energy and information into a replica of itself. In that regard, the reproductive organism of machines is today the company-mother that reproduces them with the aid of informative metal (money) and machines (chips), energetic machines and human workers that act as catalysts and re=producers of those machines. And because we live all in a planet of limited resources, machines and life increasingly compete to reproduce the limited energy and information of this planet.
Topology: 2 manifolds
We are all space-time isomorphisms. The best way to describe those st parallelisms between species, is by considering topology, the branch of mathematics which study forms with inner motion (deformation) and its varieties that put together creates the organisms and structures of the living universe.
This is possible since ‘pure space’ and ‘pure time’ dimensions are abstractions that do not correspond to ‘objective’ reality where space and time dimensions, ‘form’ and ‘motion’ come together. And so the branch that describes both, topology, is the fundamental branch of mathematics.
Further on, what we perceive, and what interacts with the external world is always a bidimensional membrane, not the whole 3 dimensional system, so the so called 3-varieties of a 2-manifold (bidimensional) surface become the 3 fundamental ‘parts’ of any system. And they correspond to the 3 ‘Bidimensional’ forms in motion of the Universe, which we call:
– Space-time Energy (expansive motion, toroid topography), combination of ‘length’ and an expansive, young state.
– Space-time Information (implosive motion, spherical topography), combination of ‘height’ and an inward, warping, old stage: Tƒ = Sh x Tƒ
– And its space-time combinations (repetitive motions, hyperbolic topography) combination of width and a present, iterative motion that seem not to change.
All what you see from the humblest chair or the smallest atom to the biggest galaxy or the most complex human being is an iteration of 3 unique topologies of a 2-dimensional space.
One of the most important problems of topology is the search for a classification of manifolds up to topological equivalence. Ideally, for each dimension ∆, one would like to produce a list of ∆-dimensional manifolds, and a theorem that says every ∆-dimensional manifold is homeomorphic to exactly one on the list.
The theorem would be even better if it came with a list of computable topological invariants that could be used to decide where on the list any given manifold belongs. To make the problem more tractable, it is common to restrict attention to compact manifolds, which can be thought of as those that are homeomorphic to closed and bounded subsets of some Euclidean space. Precisely such a classification theorem is known for 2-manifolds.
The first part of the theorem says that every compact 2-manifold is homeomorphic to one of the following: a sphere, or a doughnut surface with ∆ 1 holes, or a connected sum of ∆ 1 projective planes. The second part says that no two manifolds on this list are homeomorphic to each other. It means we need ‘surgery’ , tearing, ‘hurting’ the organism to break the variety of the manifold. And since this would upset the functions and health of the super organism, we are left with the 3 fundamental varieties of a bidimensional space, to construct the ‘wholes’ of all the systems of the Universe.
In the 2 previous graphs we can see the structure of all systems with an external, Max. Sp. toroid Limbs that move the system, an internal, Max.Tƒ, zero point and a hyperbolic, Sp=I, Max. ExI, organic, reproductive structure that puts together and maintains both, the membrane and limbs that move the body and the still, informative cyclical point that maps and gauges reality.
We conclude that the minimal Unit of the Universe is a 2-manifold, as pure time or pure space, pure yin or pure yang, pure motion or pure form-stillness cannot be perceived. So all what exists is a 2 manifold that we might perceive as static space (a 2-manifold sheet) or as a point with motion, (where motion is one time dimension and the point, the minimal fractal unit also with a 1 dimension – as there is not 0-dimensional, ‘euclidean points’ in the Universe).
Now, the Universe is a sum of motions through the 5th dimension, as only when motion exists we need to define a space (the form that moves) and time (motion). And so epistemology is the knowledge about a being of the maximal information about its ST events which is all what exists, of truth 1.
The language will reduce that truth 1 to a 2-manifold mental mapping of it.
The worldcycles of Nature.
Now, if you have gone so far, you probably understand that there are infinite time clocks, they are all cyclical paths, and they are all storing and processing information. So really what time is the different rhythms of processing information of beings, and that obviously changes. Consider yourself, you are born with a lot of lineal motion, and little information, you keep acquiring information till old age, and then you die and erase your information, ending your time life-cycle, back to the beginning of your process – the seminal dissolution of your cells.
The galaxy goes through an age of implosive creation of form, from vacuum space – so Einstein said that time curves space into mass, but then a quasar explodes the galaxy that throws information into space: E < = Mc2. Again we see a similar worldcycle Soon we will define those cycles with mathematical equations for different time cycles and quanta of space. But we are MORE interested in the qualitative nature of those processes.
What it is clear is that all systems perform those time cycles with the same pattern, going from an age of maximal lineal motion or youth into an old age of cyclical information and then back in the process of death to the dissolution of cyclical form into planar expansive motion – disaggregation of cells, of matter into energy etc.
So time is NOT a steady constant tic as the mechanical clock of humans in nature, time can accelerate, decelerate or move at steady speed for each system moving and this is one of the many deformed features of reality which Physicists have made canonical errors of our universal world view by putting ‘first his mechanisms’ over theory.
So what is the rhythm of time? Simply speaking, a series of worldcycles of life and death, of expansive and implosive motions, ordered in a natural manner in all systems of the Universe.
Now remember, I told you i was the chair of duality, expanding our understanding of the Universe with both arrows, entropy and information? So this is so far what I have tried to do now, but to fully complete the world cycle of a black hole we need the 3rd dimension of time. What can this be? If we have already entropy, disorder, the erasing of information? And we have information, order, the natural arrow of life towards an old informative age, in a fractal universe of infinite space-time beings?
Well, if we call youth, the past, with maximal Sp/Tƒ, density of energy (so you move a lot) and Tƒ/Sp, the old age of information, as we do in life, in this planet, in the galaxy moving towards the central informative black hole, as we move from the relative energetic past into the future informative maximal Tƒ age, we must cross through a central region where Sp=Tƒ, or present region. So we call:
Sp (spatial past) > ST (PreSenT) > Tƒ (Future Informative Time)
The equation of the 3 ages of a world cycle. Look how clever the symbols are s-p spatial past, Tƒ, Temporal Future. Ha, ha, it took me a decade to find them.
5D SPACE-TIME: ORDERING SPACE-QUANT AND CLOCKS OF NATURE.
The 5th dimension that orders them.
In the graph, the Universe has infinite time clocks, that code its information in the frequency and speed of its time cycles.
In a Universe of infinite ‘world cycles’ of time, there must be a way to order them. Indeed. If there are infinite speeds of time cycles. So we need to order all those world cycles that require to study all those different sizes and speeds of the cycles of time of the Universe. But to do so we need to encase all those fractal space enclosed by cyclical time’sin scales of size from micro to macrocosms and the actions beings perform within scales, in a mathematical, simple ‘metrics’ of space-time. This formalism is what we call the ‘5th dimension’: a series of laws that order the infinite species of the Universe according to their size in space, and the speed of its cyclical actions in time.
Thus, the fifth dimension metrics is the ice cake element needed to order a fractal Universe broken up into an infinity of beings made of vital space and time cycles (of body-waves and particles-heads). Only then we have a scientific model able to order it all, with its bio-topo-logic properties, isomorphic laws and 5D metrics. This can be done since all those systems of ‘spatial energy’ (body/waves) and temporal information (particle heads), can be roughly classified by ‘size’ in space, and ‘speed of motion and action-reaction’ in time. Then a ‘new rule of order’ appears: bigger systems move slower than larger ones. Their clocks and metabolisms tick slower.
This is a Universal law:
Mice beat hearts faster than elephants and particles turn faster than galaxies. Yet the product of both, the spatial size and temporal speed of any system remains co-invariant.
So we can write in a first approximation: Sp x Tƒ = ∆ and define a 5th dimension of scales of size that organize the Universe from past, smaller, faster systems into future, larger, slower systems. Moreover, for the first ‘time’, we find a clear arrow from a relative past to future, as wholes cannot exist without the evolution of simpler parts first.
In the graph we can see 3 of such scales and its relative size and speed measure in frequency (the inverse of lineal time duration: T=1/ƒ=1/Tƒ, whereas Tƒ is the fundamental symbols for cyclical time): The galaxy, the human and the DNA.
Let us then in the second part of this introductory post on the 3 elements of reality consider all together now, how fractal space-time beings trace its world cycles of existence, by varying the speed of its time cycles, the size of its spatial form, and organising themselves into networks that become complex organisms of energy and information .
PART II. 5 D NETWORKS
I. Nature’s time clocks constantly accelerate into information and decelerate into energy.
Difference between mechanical lineal clocks and cyclical, informative time clocks in Nature.
In the graph, Nature’s time clocks do vary their speed in different regions of space – the great discovery of relativity – which means each space-time being has a different time speed. But they also vary their speed as they trace a finite time cycle, either imploding an accelerating as a time vortex of increasing information: max. tif x min spe (informative time arrow of future), or decreasing in speed of time and increasing in space (max. spe x min. tif), creating an entropic arrow. A world cycle of existence is therefore the sum of all those changes in the arrows of time of a being, which ‘magically’ become ordered in 3 ages: Max. Spe (youth), Spe=tif (adult-reproductive age) and Max. tif (3rd age of information), which explodes back into entropy in the moment of death (tif<<Spe).
In the graph on the left the version of those ages in an information-energy scale, in the center the first human observation of the process in scientific taoism, in the right, an informative time clock or vortex, V x R=k, which is the commonest manifestation in physical systems of the arrow of information, called ‘charges’ (∆-1 scale) or masses (∆+1 scale).
‘Space and time’ can be transformed into each other. Since space is basically in the human conceptual understanding a simultaneous ‘slice’ or ‘present moment’ of a ‘motion or change’ in time. Simultaneous perception in that sense of multiple time cycles happening sometimes in synchronised chains, sometimes as fractal parts, become space. Hence we shall observe another range of phenomena: the transformation of a motion of time into a still surface of space. In fact, we could define death as the ‘slow down of time’ to a halt, in which motion ceases to exist. So those are some of the basic ‘games’ of the Universe between time clocks and space-quanta. In the case of the Lorentz transformations, the time clocks of speed close c, are transformed into space quanta, mass.
Also notice that speed in classic physics is defined as v=s/t, but this t is lineal duration, the opposite of frequency of cyclical time. So speed (angular speed of a time clock) is the inversion of duration, lineal time: Tƒ=1/t. Thus if we consider 1 single space quanta or step of a motion, the translation of the clock of nature to the human mechanical clock is obvious.
The main differences between those clocks of nature and the mechanical clock are clear: Nature has different time clocks, or time cycles, and all of them vary in frequency, because the 5th dimension does vary its time clocks – it is in fact the essence of this dimension.
However the arrival of lineal physics and the mechanical clock hid this self-evident Universe made of infinite space quanta and time cycles, substituted by abstract Newtonian models of an absolute continuum space drawn over a paper (the Cartesian Plane), in which all those parts of space, are pegged together, and a single clock and time rhythm measured with those mechanical clocks that equalized all rhythms of nature to its steady, tic-toc. But Nature does have its own clocks to measure time, which ultimately is the repetition of cyclical forms of in-form-ation, different for each species, which processes that information with logic, formal cycles of different lengths, durations and speeds.
So the ultimate meaning of a Universe of infinite time cycles, regulated by Nature’s clocks, was lost, and time became, in words of Einstein ‘what a clock measures’. Moreover as the clock had a relative, steady state speed, and can be elongated ad infinitum, rewinding its engine, the fact that the cycles of temporal information (ab. O-Tiƒ, in the jargon of Fractal space-time, ab. ∆St) of any system are always finite (by the very same nature of a time cycle that closes into itself) and do have different forms and speed at different moments, became also forgotten.
This is self-evident when we realize that Nature measures time with different physical clocks, for different families of species.
It uses the frequency of waves to measure time in the quantum scale (ab. ∆-1 ST, in the jargon of Fractal space-Time). It uses molecular vibrations, which humans measure with temperatures (ab. ∆ST), to define the cycles of larger molecular systems, and it uses different forms of speed, notably angular speed, in the even larger gravitational ‘∆+1’ Space-Time Scale.
And so the infinite cycles of time of Universal beings, and its different clocks of Nature (frequency, temperature and speed), whose rhythms and forms carry the in-form-ative patterns, became also forgotten, with the arrival of artificial, mechanical clocks, which established a steady single, human rhythm to time, of infinite duration. Of course, because using a single human rod of measure for space, or ‘quanta’, the meter, and a single human time cycle or ‘second’, equalizing all other systems with them, allowed a perspective on reality from the human practical point of view, the use of seconds in time and meters in space, facilitated measure and construction of machines, weapons and buildings, greatly improving the praxis of human life.
So what man lost in his philosophical understanding of reality, he gained it in practical power. And as measures with single clocks and single space rods increased, many regularities of Nature were tabulated, albeit deformed by its equalization with clocks and single space continuums. However, and this is a key element to understand why a Universal model, slightly deformed in its fundamental principle works, a system with a distorted perspective, such as the Ptolemaic system with the Earth at its center, can fully describe reality, merely by adding complex corrections to cater the distorted point of view.
The unification of scales, through time clocks and space-quanta.
The immense number of solutions the metric 5D equation brings to mathematical physics, is fascinating, including the Unification of G and k.
Since those 2 constants are merely the constants of ‘relative curvature and time speed’ of the largest and smallest gravitational and quantum scales of reality. So masses and charges, are vortices, which as space and time can be transformed into each other, can be considered as space-quanta hence curvatures (Einstein’s treatment of mass, Faraday treatment of charges as lines of force in space or field concept) and if we consider them cyclical motions of time, or clocks of both scales, as attractive vortices (Newton’s concept of mass and quantum concept of charge).
And so when we realise we are studying two fractal scales of the Universe, mathematically as I showed in that other article we can unify their values, and we shall find that the curvature of k, and its speed as an attractive vortex of space-time, is paradoxically 10 up to 40 times faster-stronger-more curved in the smaller k f charges than the larger, slower G of masses.
But the revolution of thought goes much further. For example, each scale we shall find to have a different faster or smaller clock of time (below some examples) and a larger or smaller Universal constant of space quanta. So the 3 scales of human perception, the ∆-1 quantum scale, the ∆-thermodynamic scale and the ∆+1 gravitational scale have 3 different clocks, ∆-1 ‘frequency’, ∆-temperature, and ∆+1 speed, and 3 different quanta of bidimensional space, H-planck (angular momentum), k (entropy) and M (mass).
And yet the beauty of it is that the metric of the 5th dimension always work.
The bias of artificial time clocks and physics has limited our understanding of reality.
The conclusion of the fractal paradigm is obvious:
Physical, human measures of reality with a single time and space are more complex specially at conceptual level than the more realist model, using the proper quanta of space measure (the so called Universal constants) and time clocks of Nature (frequency, temperature and speed) but they do work. Moreover they have established a scientific praxis for 400 years that would be extremely costly to vary, as the Industrial revolution, converted the clock today evolved into a computer in the model of all temporal things, and the meter, today the speed of light, as the quanta of all spaces.
And so physicists are comfortable with this absolute space-time picture of reality. We, Philosophers of science, however are not practical beings, only concerned with the objective truths of the Universe. So we are not satisfied with Physicists’ models and the purpose of this blog is to establish a more objective picture of the Universe, using the different clocks of time and quanta of space we find in Nature (as science is ultimately the search for an objectivity that goes beyond the subjective human anthropomorphic view, so science moved from earth-centric models to heliocentric models, and should move from human time models into Universal time models).
So the quantic nature of space and cyclical nature of time was forgotten, and the fact that we are ‘relational space-time beings’, made of space quanta and time cycles, – Leibniz’s alternative model to that of Newton, remained ignored for 2 centuries.
Then in the XIX and XX century, new advances in mathematics, physics and biology made unavoidable the resurrection of the ‘real models’ of Nature, as Darwin found the evolutionary, time rhythms of nature and its species, which were neither infinite in duration, nor it follow the steady mechanical, artificial rhythm of human time clocks; Lobachevski found that space was indeed discontinuous, with different geometrical forms in different regions of the Universe, Einstein found time clocks were multiple and run at different speeds, and defined the quanta of the larger gravitational scale of size, or rest mass, while quantum theorists discovered in the other extreme of size, the H-Planck bidimensional quanta of angular momentum h, was also a constant; and Boltzmann found the Universal quanta of space of thermodynamic world, ‘Entropy’, was also a constant K.
When physicists discovered that in fact even the smallest spaces do have motion and are made of quanta, and Einstein discovered that the rhythms of time varied and had different speeds, the routines of this ‘simplistic’ Newtonian model had to be changed. As Einstein put it: ‘Leibniz is right, but if so we have to change the entire scaffolding of western science from its foundations’.
Thus human concepts of a continuous absolute space and lineal absolute time, invented by Newton and the mechanical clocks, are no longer valid, and we must substitute them for the real concepts of nature and modern physics: a world of multiple space quanta with motion and a world of multiple cycles of time with different speeds.
Why a philosopher of science and not a physicist has completed such a model should be obvious to the reader. The philosopher of science is concerned with the big questions, what is time, space, energy information and with the unification of all sciences and scales of reality form quantum to astronomy through biology and social sciences. So themes of such wide range as those treated here are more proper of philosophers of science.
Further on, the philosopher of science departs not from the study of a specific type of space-time systems (physical systems of matter) but from the principle, laws and mathematical and logic languages of time and space, we humans use to perceive reality. Thus once the physicist gather experimental evidence with its instruments, he is at loss with the theoretical analysis on the widest possible terms of those experiments There is where the work fo the philosopher of science, master of languages of thought more than of machines of perception, comes in.
Since science is a logic, mathematical statement about reality, so there are also clear new advances on logic and mathematics, which in the XIX century r=evolved scientific thought and again have not yet fully incorporated into our models of reality.
Since science is based in mathematical languages, and language is based in geometry, scientists faced in the XIX century the shocking fact that Euclidean geometry is not truth; since the 5th postulate of Geometry, which defines points with no breath, through which only a line also with no breath, can cross, proved false. There are different possible geometries, in which points do have breath, so several parallels can cross their volume, or points exist in a different surface through which no parallels exist.
How can we then introduce the new concepts of points with breath, surfaces with different numbers of parallels, in the scientific discourse of different sciences? Here again little advance was done, and so mathematicians at the beginning of the XX century decided to get away with the problem by merely NOT defining any longer the concepts of points, planes, lines and the relationships between them (their relative similarity or ‘congruence’ and the way they ‘intersect and lay on’). Thus two new false solutions were devised. On one side, instead of points and numbers, the classic units of mathematics that made them a realist science.
So physicists and philosophers of science have been aware for a century that space is quantic, with motion, and there are infinite time cycles-clocks in Nature. Yet the difficulty to re-define the fundamental original proposition of science, paralleled by the constant needs for merely parched the model.
Look around you. All what you perceive are 2 type of ‘forms in motion’, lineal forms that we shall call space, S, when perceived in stillness or lineal momentum, |-p, when perceived in motion, and cyclical forms, which we shall call time cycles or angular momentum when in motion, measured by frequency, |-Tƒ and information form when seeing in stillness.
And so those 2 elements, |-Spe and O-Tiƒ, spatial momentum and temporal form, and its infinite combinations, measured with different time clocks, frequency, temperature, speed and space quanta, H-Planck, K-entropy and M-ass, and integrated into different types of ‘energy and information’, is truly what all the Universe is made of. And so we can write a simple Generator equation of the Universe:
Ei= Sp x Tƒ for all scales of reality, which breaks down for the 3 main physical scales into the 3 most important equations of mathematical physics: E=hv (for the ∆-1 quantum scale), E=knT (for the ∆-human thermodynamic scale) and E=1/2mv² or E=mc² in Einstein’s relativity for the gravitational ∆+1 scale.
This never before explained meaning of the main universal constants and clocks of time of nature is the beginning of a revolution of thought that either humans or robots, if they survive the age of global weapons and war we live in, and preserve this planet for future human or mechanical generations, will research in depth, as it is the next step on the search of science for a non-anthropomorphic, scientific, objective description of the fractal, organic Universe. And the only model able to achieve…
We have used a loosely connected concept of space as lineal form with less motion that time a cyclical accelerated vortex to describe the fundamental game=law of the Universe, which is the constant beat back and forth between both formal motions. We can rephrase the game in many ways depending on how much information and varieties of that beat we include in the ‘sentence’
‘The Universe is a game of knots of space-time cyclical motions that switch back and forth between the states of Spatial Energy and Temporal Information, ad eternal’
It is today customary in the peculiar present frame of mind of the human species, with its cult(ure) of sensorial machines to reframe this game in terms of physical measures with metal-minds and its mathematical language as the principle of energy conservation. Otherwise the human ‘believer’ will not feel satisfied.
We obviously will do so in the posts on physics but not here. As ‘the languages of god are infinite’ (upanishads) and the way they express the underlying game of existence, also.
It is though important to consider that, being physics the study of motions, the game does have a strong physical content, namely its ‘motion properties or time’; as it has a strong mathematical content, ‘its formal properties or space’.
If we consider the game to be expressed in ternary terms as |-Sp<STœ>O-Tƒ elements, this how external motion and form will be the point of view of the ST present element.
But then when we seek beyond those 2 primary hows, we shall find the game actually has from the Tƒ point of view, a mental, psychological nature – namely to provide ‘perception to its 0-points of will that seek for positions of maximal perception at the centre of its territory.
And it has from the Sp-field/limb point of view a by extension of human sensations, some pleasure or sense of chaotic freedom when in motion.
Those internal points of view however are under the larger world view of the game, through its scales of the 5th dimension. There, the game has a teleological sense because beyond the Œn-plane of existence, the game does build co-existing super organisms, across multiple planes of existence, through elements, which are the most sophisticated of the game: synchronicities and co-existences, time travels and eusocial loving evolution. This is the level of understanding of the game in terms of its more complex fundamental element: as a SUPERORGANISM.
This said as always in the ternary expression of the Universe we can with the symbols of ¬Æ to express the game in 3 manners.
The fundamental beat of the Universe is the stop and go, form and motion, space and time beat of energy and information, informative perception and entropic pleasure, Sp>Tƒ>Sp>Tƒ>Tiƒ>Spe>Tƒ…
The importance of this beat of existence as one of the fundamental modes of being…
along the change of form, Tƒ<|s>Tƒ<|s>Mt<Spe>Mt<Spe…
And the beats of parts and wholes along the 5th dimension, ∂t=S : ∫S=t… compound the 3 dualities of what we call in a larger sense, ‘space and time’, the beats of existence.
In this post we shall study them in a generic way, complementary to their analysis with more formal rigour in the 3rd line (2-manifolds), in which we will analyse how a dimension of time and one of space come together into being.
Now, that such a beat exists in all scales and it is the fundamental mode of being, in all arts, in all expressions of the space-time cycle should be obvious from the point of view of the human observer, from which we always depart in our analysis of reality.
You stop and perceive and observe form, you walk then to the point you observe; and so two space-time actions are chained, also by this first beat of existence
∆i (gauging information)<∆a: moving towards a goal most likely < ∆e, feeding on energy…
Without perceiving form however the beat of existence cannot start its walk.
And the next step of the understanding of this beat of existence, is the parallelism between Space and Energy and Time and information, the still and go versions of this rhythm.
There are only 3 varieties of ‘bidimensional’ geometries that move (called for that reason ‘topologies’).
Thus all systems can only have 3 kind of parts: Toroid, lineal limbs and fields that provide energy and move the system (biological/physical jargon); hyperbolic bodies waves that iterate/reproduce it, and spherical membranes which enclose the system and ‘sense’ the Universe around, mirroring it in an internal ‘infinitesimal zero point’ or informative mind that controls the whole organism. In the graph, atoms, seeds, planets, cells and bosons show those 3 similar topologic structures. This similarity is called an ‘isomorphism’, iso=equal, morph=form.
Entropy as a quanta of thermodynamic, lineal space-motion.
This is a verbal explanation, and visual explanation of the fractal Universe and its Temporal, informative vortices, worldcycles and planes of flat distances-motions in space.
We can be more precise with basic mathematical equations, trying to put some order on all of this. Because that is the advantage of the simple, biased, erroneous models of physics with a single mechanical clock that deforms the essence of all clocks of nature, and a single space continuum that pegs all the spaces of nature – the model of absolute space-time of Newton.
For me it was clear from the beginning that model was wrong. So I looked for an alternative model, which is the model of relational spaces and times of Leibniz, but the problem of this more truthful model was clearly expressed by Einstein:
“I seem to be the only physicist that think there are infinite time clocks in the Universe running at different speeds. Leibniz is right but if so we must rebuild the foundations of physics from the beginning’. Leibniz told it to Newton: there is not an absolute time clock. And he laughed at him, when Mercury showed not to follow the same rhythm that other planets, when told that Newton expected ‘god’ to correct the clock of mercury. If god is perfect, why it has set up a clock with different rhythms, and now has to correct it? Why he didn’t put it right the first time?
The mechanical clock though was the god of time of physicist, and they would NOT explore the clocks of nature as Taoists had told the Newtonian brits.
I found in Indonesia travelling inland a temple in the mountains filled with carillons. Those were the gods of the Dutch that the tribal Indonesians captured when fighting them, and took it to their temples. They thought they were the gods of the Dutch because they were all day looking at the clock and whenever an Indonesian followed nature’s rhythms he was told to be lazy, ‘blasphemous’. The clock-time of salaries measured workers, the c measuring of Nature rhythms is what matter to the physicist.
So when they asked Einstein what time was he said ‘what a clock measures’. He had failed to put into a formal mathematical metric Leibniz’s right relational infinite quanta and cycles of space-times, and had go back to the fold.
So this is what I did – to formalize Leibniz’s concept of an infinite number of spaces, fractal pieces of space of different sizes, which only peg together like a puzzle, in the human mind gave us the continuum space. To that aim I ordered them by size, from smaller quanta to larger quanta, from small atoms to larger galaxies.
And I ordered according to their speed of cyclical frequency, all the different clocks of nature, all the different closed trajectories, cyclical motions, from atomic orbitals to galaxies.
And then matched them together, by the simple method of multiplying them, Sp x Tƒ , and found alas, the miracle of miracles, that for huge entire families of related systems, including atoms and galaxies in the 2 extremes of the physical Universe (but also for biological systems, from cells to multicellular and ecosystemic systems, and even for cycles of history), the product of the spatial size and temporal frequency of the whole family of related systems, remain invariant. Sp x Tƒ = ∆.
This C-onstant, conserved co-invariant dual parameter of the Universe could obviously not be anything else but the Principle of Conservation of Energy and Information, which worked for entire families of reality, and in the case of physical systems, clearly defined 3+i scales of reality (one i-maginary, in the sense we know little about this scale beyond galaxies, of dark energy and dark matter, which I call the dark world, in which we find black holes, interstellar dark energy space and the halo of galaxies – but whose properties I would deduce by extending the metric equation beyond the 3 scales we do know):
In the graph you can see the 3 main scales of the Universe, the gravitational scale of big galaxies. The thermodynamic scales of human beings, the electromagnetic scale of quantum atoms, and beyond a possible dark world scale. And since the quanta of space grows in size-distance-speed (remember we cannot distinguish speed from distance), and slows down in time speed, this dark world beyond our galaxy likely will go beyond the c-speed distance of our light space-time galaxy, and below the 0 temperature clock of our thermodynamic World.
So while we cannot be sure of this dark world we ill never truly see or experience, I could just use the metric patterns of the other 3 scales to define the 4th scale as one that happens, beyond the c-barrier and 0-temperature of space-time.
Thus there are only 3 known-known scales, where the invariant Sp x Tƒ constant product gives us the ‘Energy and information’ conserved in the Universe.
And so for each of those scales I just had to find an equation of “energy’ that describe the system, in each relative plane of size and time speed, and then find its ‘parameters to measure’ the frequency of its motions and the constant quanta of fixed space of each scale:
Ei = ∫ Sp x Tƒ. And once such equations were found, I found the main clocks of time of the Universe for each scale of the fifth dimension, and resolved the conundrum of the meaning of mathematical physics, Energy, the Universal constants of space and the different clocks of time of the Universe that have existed well before humans invented their mechanical clock:
In terms of energy, Space and Time, I had resolved the details of the general equation, Ei=∫ Sp x Tƒ for each scale:
Now you can see in the graph, the ‘specific’ equations of the 3 known-known scales of the Universe, which we call:
The ∆+1 gravitational sale (∆ being the symbol for a relative scalar plane of size and speed of time of the 5th dimension, which is the sum of all of them). Here the quanta of ‘space’ is obviously mass, which is what occupies the volumes of space of this scale, and the quanta of time motion, is speed, angular frequency or wave motion, with the limit of c-speed. So the equation is:
E=1/2mv² or mc² in Galilean and Einstein’s’ relativity.
Now the reader should realize that speed, angular or wave speed DOES change the frequency of its steps. A wheel turning cyclically to move a car can move at higher r=evolutions per minute
Let us then return to those graphs and clocks of time, as we are now close to the more strict concept of entropy.
The ∆-thermodynamic human scale is the next scale of the 5th dimension’s relative planes of size and speed. And here we realize while Energy is conserved, the total quantity of formal motions, angular and lineal momentum clocks of time and quanta of space are conserved, as the speed of time clocks and the quanta of space change, we need new ‘concepts’, new ‘clocks’, new Universal constants of space-quanta to measure it.
So in thermodynamics we have a new equation, E=nkT (with small variations fro specific fractal species of thermodynamic matter, gas, liquid etc.). And here obviously n being a number of atoms, is really E=KT, where T is the temperature of the system, the thermodynamic clock, so cold systems are slow in time, hot systems are fast in time, hot mammals have fast metabolic clocks and thoughts, cold reptiles and plants slow, but alas the beauty of the Universe is that this big cold plants and dinosaurs do live longer than the fast, small humans, since roughly speaking for each family of reality, Tƒ x Sp = Constant.
So Temperature is the clock of time of the thermodynamic scale and its constant of space, lineal, expansive motion is K, the Boltzmann constant, which has the dimensions of ENTROPY.
So ENTROPY is the quanta of expansive spatial motions, of the thermodynamic scale, and only makes sense for thermodynamic systems.
Finally we get into the ∆-1 scale of electromagnetic quantum systems, and here again the equation is obvious Ei=H ƒ, so the quanta of space is H-Planck, the Universal constant, and the frequency of time, is ƒ, the frequency of the wave. So those are the 3 scales of physical systems. Its fundamental equations, time clocks and quanta of space.
All in the Universe is thus a mixture of space and time but both concepts are not the same bidimensional reality. We measure space with bidimensional quanta in each scale.
They ARE the 3 most important Universal Constants of Physics, H-Planck, a bidimensional angular bijector, k-Boltzmann constant, the quanta of entropic space in the thermodynamic world, and c2, the quanta of constant space in the gravitational world (reason why we do NOT see it varying in speed-distances, as it IS the substance of which our gravitational light space-time is made):
In the graph you can see all the bidimensional planes of space of each scale, entropy, cc speed-distance and angular momentum (H-Planck).
So, your quanta of space=universal constants change, as you change scale of physical systems, in harmony with the change of ‘time clocks’ …
But the product of both, space quanta and time clocks, remain the same:
Sp x T ƒ = ∆±n; ∫ST=Ei
This is the principle of conservation of energy and information, which merely integrates along space or along time a population or series of events of space-time, hence meaning the overall conservation of the total space-time of each scale of the Universe.
The graph is easy to grasp, since the Universe is indeed as Einstein said simple and not malicious.
Since we do have 3 very simple equations that reflect the previous ‘5D metric’ that works for any scale, in each of the 3 scales of relative size of the Universe, worth to repeat to stress that simplicity and straightforwardness that shows truth in science, the so called Ockham’s principle:
∆-1 (quantum scale): E= h v;
∆ (thermodynamic scale): E= kT;
∆+1 (gravitational scale): E= c2 M
As shown in the above graphs.
Frequency of a quantum wave, temperature of a molecule, speed of a mass are the one-dimensional Clocks of Time that ‘change’ within a stable range in each scale.
H-angular momentum, K-entropy and Cc, are the bidimensional quanta of space that put together create the stable Ei, energy and information conserved in the 3 ∆±1 planes of physical systems that interact with the human being.
In 5d physics, we simply say the Universe conserves its quantity of ‘present space-time’. That simple statement includes all conservation principles of all sciences.
This canonical definition of H, K, and C, bidimensional angular momentum, entropy and Speed, the space quanta which of each scale means that entropy DOES not apply at ALL as a concept BEYOND the thermodynamic scale, roughly on the 0-10.000 temperature beyond which it breaks down, that is molecules cease to exist and become plasma ruled by electromagnetic flows, hence by the clocks of ‘frequency’.
Now look at the second equation, E=kT.
if you substitute E for M its inverse then we write: M= k /T.
That is the equation of mass growth of a black hole:
As temperature diminishes, Mass grows. So he black hole is born hot, follows the laws of thermodynamic entropy, diminishes temperature and eats up our world, till Temperature clocks come to zero, temperature disappears, the black hole reaches 0 entropy and perfect informative order, as experimental and theoretical facts, both in 4D Einstein’s EFE, equations and 5D Metric shows.
Why? Look at the next graph…
The dark world.
In the next graphs, when we cross scales of the 5th dimension, the simple Sp x Tƒ = E, lineal relationship and nice equations of conservation of energy and information ‘break’ and suddenly the equations do NOT work as we enter a ‘transitional region’ between two scales of space-time.
Whereas the time frequency of motion no longer behaves lineally. It finds a limit and cannot grow more. And those barriers are met with the equations that Planck and Einstein discovered (and a few more for thermodynamic systems), which are no longer lineal but exponential equations, barriers where the system breaks, explodes and dies away, ‘crossing finally the barrier’ into the next world scale:
Now, the graphs, explain the other huge conundrum of physics: why in the ‘steady state’ regions of those relative planes of size and time speeds, all is lineal, but when we go to the borders, equations break, and in the ‘transitional region’ the whole thing becomes hyperbolic.
On the discontinuous verge between planes of space-time of the 5th dimension, the equations break and they are no longer lineal.
So they become hyperbolic geometries of exponential growth, unable to break the barrier of c-speed (relativity), temperature (violet catastrophe of radiation) and h-Planck quanta (uncertainty principle/limit).
Thus when you reach the limit between 5D planes, the region becomes catastrophic and you get the ‘barrier’ speed does no longer grows, but is absorbed as mass, temperature does no longer cools but it is converted in mass, frequency does no longer increases. And alas, once you cross the barrier you are again into a steady state region:
Simply stated, you MUST cross a discontinuous region between scales and things get rough, the previous parameters of time and space ‘are saturated’, you cannot longer increase your frequency, and speed, or you reach the inverse limit of 0 temperature, rest speed, and ‘cross between planes of 5D’ with NEW clocks and NEW time quanta.
You exist in a Universe roughly divided in 3 fractal, scales=planes of space-time, which we shall call, ∆-1: quantum scale, ∆-Thermodynamic scale and ∆+1: gravitational scale.
When you change scale, YOUR CLOCKS of time=formal motions change. So you move from quantum frequency of radiation to thermodynamic temperature clocks, and then again to speed motions. But as you change clocks, obviously the ‘time tics’ are transformed, the previous time tick fades away and the new time tic grows.
And those ‘discontinuous’ barriers in which we change of ‘parameters’ are signaled by a change in the lineal steady state graphs of mathematical physics that measure them.
So in the barrier between frequency and temperature you have the asymptotic ‘violet catastrophe’ of temperature≈radiation, which Planck found and made him postulate quantum theory; and on the other side, in the barrier between temperature clocks and speed, you have the c-barrier that made Einstein, discover Relativity theory, as the ‘simple equations of our thermodynamic world, where temperature is the clock of our activity (so hotter means faster in time, mammals vs. reptiles to put an example, solid vs. gas etc.) ‘break’.
Therefore a black hole is a gravitational implosive in-form-ative force vortex that ‘eats temperature’ and electromagnetic energy and converts it into ‘cold’ 0-temperature gravitational mass.
So black holes with 0-temperature when they grow fully into mass have 0 entropy.
The fifth dimension from a discrete perspectives: networks of points.
The Universe is made of infinite ternary a-symmetries of time/space motions/forms.
This is what we have learned so far. But the highest level of organisation of the Universe is that of topological space-time planes, 2-manifold structures put on layers that become 3 volumes with 3 type of motions and assemble into even larger systems, across deeper i±scales, piercing through the 5th dimension.
Welcome to the fundamental ‘space-time unit’, the bi-dimensional plane.
How can we interpret the interplay of points of timespace with motion and form we see around us, when we want to go beyond the actions of those points and its selfish point of view:
Answer, we transcend into U∆+1
The Union of infinite infinitesimal points of energy and information that give birth to a constant space-time plane.
II. NON-Æ MATHEMATICS: DISCONTINUOUS PLANES ORGANIC NETWORKS
The formalism of Dual systems of energy and information
All those facts must be formalized with new tools of mathematics and Logic. The mathematics of a fractal, organic, self-generating Universe are Non-Euclidean geometries whose 5 postulates we complete going beyond the work of Riemann, who defined a point with ‘volume’ through which many parallels can cross. Hence a point must be a fractal that grows in size as we come closer to it, allowing more parallels to go through. Such fractal point with breadth, with form and motion, with energy, becomes the new unit (new 1st postulate), of Fractal, Non-Euclidean mathematics, (of which all other geometries are simplifications), in which lines are waves (as points have motion and form) and planes are social networks.
A fractal point is the ‘organic unit’ of a certain i-scale of the Universe that from a higher plane of existence appears as an Euclidean point without breadth, but as we can closer it becomes bigger and shows its form and motion. So we humans see in the limit of our perception, quarks and electrons as fractal points without parts and in the galactic realm we see with naked eyes, stars and galaxies as fractal points without parts; but as we come closer those fractal points should acquire volume. And all of them will follow the Mathematical Laws of Fractal, non-Euclidean geometry.
In logic we also have to upgrade Aristotelian Logic to understand a Universe with two arrows of time, one of energy and other of information, of relative past and future, which combine to create the dominant arrow of ‘present=existence’. We call this logic, which adds the arrow of information, i-logic.
It explains the meaning of past, present and future, the 3 dimensions of time, and how they interact to form reality. Two are the essential equations of the 3 dimensions of time: past->present ->future, which gives us a diachronic analysis of reality, through the 3 ages of time. And Past (energy system) x Future (informative system) = Present organism, which defines the systems we perceive in space.
Thus in this 2nd lesson on a General Systems theory of systems of spatial energy and information, we shall consider the most important laws of reality – the laws that generate temporal information (laws of logic) and the laws that generate spatial energy (mathematical laws), upgrading the previous paradigm of a continuous single space-time and a single, causal logic defined by the arrow of entropy, to introduce the existence of multiple, fractal space-times and two arrows of logic, energy that evolves from past to future into information and vice versa.
What you see is just a slice of spatial energy that the logic of time evolves into the future. And so philosophers of science have always wondered if there was a plan of creation that all systems followed.
Physics was the first science to find that plan, albeit in its simplest laws that apply only to the most obvious motions of the future – translation in space. Biology thanks to the work of Darwin found the next type of laws, those that define time=change in the morphology of beings. The application of those laws to history and economics by Marx, Kondratieff and Spengler however was halted by the fact that humans don’t want to know their own program.
What the 4th paradigm brings to all those insights to the logic of creation is a super-structure that includes them all and signals an arrow of time dominant in all systems: the arrow of social evolution of ‘points or numbers’, which are herds and groups of self-similar beings into networks and complex systems.
This arrow of social evolution, which applies in all scales of reality from particles that become atoms that become molecules, cells, organisms, societies, planets, stars, galaxies and Universes could also be interpreted in mystique terms as the ‘mind of the Universe’, or ‘the game of existence’, God, the ‘seer and creator of times’ in the classic mysticism of Saint Augustine, Aristotle and Buddhism. Since indeed the logic of creation is a game of two arrows of time, energy and information, with many properties similar to those described by Taoism, Buddhism and Eastern philosophies.
What those philosophies lacked was the proper mathematical formalism, which required the definition of a fractal point, the completion of the 5 postulates of Non-Euclidean Geometry and the development of the laws that create networks and systems, and organize them into scales of reality that follow self-similar goals. This formalism and the discovery of the feed-back, fractal, generator equation of spaces-times, the Saint Grail of the 4th paradigm is what I found and exposed in a series of Congresses of System sciences in the last decade and now I bring to you in this pdf on the ‘Mind of God’, and the 3 next lesson on its application to its ‘details’, the astrophysical, biological and sociological species of the Universe.
However, the Mind of God, the Logic of creation is far more complex than the one monist, mechanist physicists have resolved. So you will have to sharpen your mind to put it to Its level. But if you do so with patience you will upgrade your perception of reality to a level in which the fog of the senses will no longer hide the forest.
Thus, the 4th paradigm requires a new formalism to describe the mathematical, geometrical and logical, causal processes that create the networks of reality. All what you see can be reduced to numbers, because numbers are ‘social groups’. In the 3rd paradigm of metric measure those social groups were described merely in its external properties. The 4th paradigm analyses its internal, topological structures, as societies of Non-Euclidean Points, which become networks of self-similar beings. 4 is not only number four, but a series of topologies created with 4 points; and so it follows that the more points we have the more complex a network becomes. Can we reduce all those topologies of network spaces to a few laws and structures as the previous Euclidean Geometry did?
Yes, we can, but for that we must complete the work started by Riemann and Lobachevski, who discovered the 5th postulate of Non-Euclidean geometry and affirm that through a point infinite parallels could cross. For a century and a half, no mathematician seemed to have realized that if the 5th postulate is changed, we had to adapt the other 4 basic elements of geometry to the new definition of a ‘point with breadth’, through which parallels cross.
What mathematicians did was rather a runaway path. Because now points, lines, planes and equality could no longer hold under the definitions of Euclid (points, lines and planes with no breadth), they remained undefined, when Hilbert, the father of modern mathematics affirmed ‘I imagine lines, points, planes…’.
Instead the proper solution was to redefine them in terms of their ‘inner parts’ as fractal points that grew in size when we observed them with a more detailed ‘hyperbolic geometrical view’, as that unveiled by non-E mathematics.
So T.œ redefines points, planes and line-waves and their relative laws of equality (also called congruence) and continuity (which no longer holds), to refound mathematics on the basis of a far more realist view of its laws as ‘experimental laws’ that reflect the geometry of the 5th dimension and the complex casualty of a world with multiple time motions. And consider that those points with volume form social ‘numbers’, whose laws are therefore related to the laws of the 5th dimension that brings parts into social wholes.
This point is the fractal point, which grows in size and scale as we come closer to it. The Universe is indeed absolutely relative because ‘each point is a world in itself’ (Leibniz). And yet the restrictions of topology that allow only 3 types of topological forms in a 4-dimensional Universe, the informative, toroid topology, the energetic, planer sphere, and the cyclical reproductive hyperbolic, reduces all the internal parts of a fractal point to 3 functions or arrows of time, energy, information and reproduction.
Those 3 functions become the 3 functions of specialized networks of points, which construct all the systems of reality, from your organism, made of 3 physiological networks (the energetic, digestive network, the reproductive, blood network and the informative nervous network), to the galaxy, organized by a network of electromagnetic energy, gravitational information, and a series of herds of stars, non-Euclidean points that reproduce the atoms of the galaxy.
This simple first elements of reality, points with volume, that exchange energy and information, creating waves no longer lines (2nd postulate), according to a set of laws based in their self-similarity, no longer equality (3rdpostulate), and evolve further into topological networks (no longer planes, 4th postulate), makes mathematics again the language of the Universe, but a language with more volume, an organic language able to describe the logic of creation of all systems of the Universe – one in which there are infinite fractal, organic networks intersecting and creating when we put them together the puzzle of reality that the simpler, 3rd paradigm called the space-time continuum.
So we establish a basic equation that defines all systems as complementary systems of energy and information that fluctuate in space as organisms and time as cyclical beings with 3 ages:
Sp>ST>Tƒ. And we can talk of a simple series of basic equations and developments that describe synoptically what those systems do.
All what exists; all entities of the Fractal Universe including human beings are systems made of two COMPLEMENTARY geometries: languages and heads of information that perceive and guide blind bodies of moving energy.
And we can recognize those complementary puzzles of nature, called in the jargon of Systems Theory, Fractal Points, by their opposite, geometrical shape and properties. Since the cycle is the form that stores more information in lesser space and the line is the fastest distance between two points.
For example, all physical species are made of lineal fields of moving energy, shaped by cyclical particles of information.
All living organisms are made of planar bodies of moving energy guided by spherical heads of information.
All Human societies are made of human citizens, ruled by politicians and priests, who command nations and civilizations with legal and ethic words.
In essence, in Systems sciences we work with two arrow/motions/informations/ forms in action, energy systems and information ssytems.
What this systems do are actions – defined in quantum physics as E x i= K, combinations of energy and information. In youth though they do more energetic actions as the body dominates. Those are actions related to one of the two arrows of ‘future time’, of change and motion in the Universe, Se and Ti. E is fastest motion, defined in geometry by the line. So bodies and fields energy or entropy,are lineal, move fast, expand space .
Then there are particles and heads that process ‘cycles of time that carry a frequency of information and have more form.
This is what particles do in physics: gauge information. This is what your head does: accumulates information about cycles of form in motion around you and then process it into ‘mental images’ that vary those cycles and extract a final cycle-conclusion you perform. You are an absorber of cyclical information that determines your actions. And those actions tend to make you survival and are basically 4 – internal actions transformed into the external universe: you feed energy to your body, you gauge information to your mind, you reproduce both, exi, and then you organize socially at certain stages of your existence, as seminal cell, as member of a society, with other human-like you forming bigger social organisms.
So this defines the equation generator of cycles of space-time, ∑exi=st:
Where ∑ (eusocial behavior); E (energetic behavior); x (reproduction); I (informative behavior), are repeated in cycles masterminded by an informative knot-body system, which is the ‘relative constant space-time field’, st, sum of all those cycles.
And we call:
∑exi = st, the function of existence of any being.
The function defines many things in the universe:
It defines your actions of love, ∑, of feeding, e, of gauging information, i and reproducing exi, and as a result it defines externally certain space-time cycles, s, which you do and others can observe. THUS IT IS ALSO YOURSELF. Your body-head: E<=>I, in perpetual exchange of energy and information.
It is your existence indeed, and that of any other entity. And so in each time of life, you will ‘commit’ actions that will vary along the path of youth, maturity and old age.
The economic system that reproduces memes of metal, machines and lineal weapons, was first ruled by cyclical coins of gold, today converted in electronic cycles of digital information in the minds of computers…
In this manner, languages of Information create the future of all the energetic systems of reality.
All complementary systems have a limited quantity of energy and information, which they have to renew in order to survive, what determines their 4 repetitive, survival strategies of behavior or arrows of future time.
They will try to obtain more energy for their body and more information for their mind.
They will try to reproduce the form of the system in other region of space time to survive after death.
And they will associate with similar entities, forming bigger, cellular superorganisms that live longer in time and occupy wider vital spaces.
For example all physical particles can be defined by 4 quantum numbers that describe those actions among physical entities that absorb electric energy, are guided by magnetic information, decouple into self-similar particles and associate with other particles in more complex atomic and molecular societies.
All biological entities are defined as such when they show those 4 drives of existence, feeding on energy, perceiving information, reproducing into similar species and associating with other individuals of the same species in herds and superorganisms.
All what we human beings do is to feed on energy, perceive different languages of information, reproduce our children, forming families and evolve socially under the mandate of eusocial love expressed by ethic religions and constitutions with other human beings into cultures, nations, religions and civilizations.
Finally, company-mothers, the ‘free citizens’ of markets, reproduce machines that imitate and substitute humans organs of energy and information, and have become social cells of a super-organism of machines, the global stock-market.
Let us of those postulates studied in detail in the sub-sections of ‘Space’, the organic meaning of the 4th postulate that defines a topological organic network.
Once the concepts of spatial energy and temporal information are properly defined, and the 5 postulates of Non-E Geometry understood we formalize a superorganism, as a particular case of the Generator equation of quantic energy and temporal information, Sp<=>Tƒ, which defines in this case the 4 fundamental elements of any super-organism:
Cellular units (S)
Networks of energy or organic, energetic space (∆+1 that create energy-body systems).
- Networks of information (Tƒ that creates information-brain systems)
- Networks that reproduce energy and information (<=>, that create organic, reproductive systems).
Reproduction can be external to the being, catalyzed by an enzymatic agent, as when men reproduce machines or DNA reproduce amino acids, or internal (then we talk of a living superorganism) Thus:
∑ Energy cycles/networks: Organic body<Flows of energy-information>∏ informative cycles.
Where an E<=>T cycle is a feedback loop that engages energy and information quanta. So we affirm that:
‘All natural entities are superorganisms that transform back and forth, quantic pieces of spatial energy into temporal information, shaping space-time cycles: ∑Spe<=>Tƒ’.
Which allows us to unify the properties and structure of all Universal Systems and the sciences that study them under a single template definition, according to which systems and super-organisms will differ only in the degree of complexity of its networks and the specific energy or information we put into the template’s brackets and the size or complexity of its networks:
‘A super-organism, (name a specific super-organism) is a population of (name a particular species), related by information networks (name a language or informative force) and energy networks (name a kind of energy). A system is a partial super-organism, composed of a population of (name a particular species), related either by energy or information networks. A living super-organism is a super-organism in which the energy and information networks combine to achieve self-reproduction through a third, reproductive network.’
Thus we classify all systems of the Universe in 3 scales of growing complexity, systems proper, super-organisms and living super-organisms.
Let us then use the previous template to define the main organic systems of the Universe, from the smallest form known to man, the atom, to the biggest one, the Universal Superorganism:
– An atomic superorganism is a population of (electronic) energy and (nucleonic) information, related by networks of (gravitational) information and networks of (light) energy. The atom is the simplest super-organism that starts the evolution of complexity in the Universe.
– A molecular superorganism is a population of atoms, related by networks of gravitational energy and networks of electromagnetic information (orbitals, London, Van der Waals forces).
The biggest of those super-organisms are crystals, the most complex DNAs.
– A cellular superorganism is a population of molecules, related by networks of water-based energy (cytoplasm, ribosome, cilium) and networks of genetic information (DNA-RNAs.) Thus a Eukaryotic cell is a super-organism made of smaller cells (organelles) and carbohydrate molecules.
– A human superorganism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems). Recently we have discovered that human beings are hybrid super-organisms, as 90% of our cells and most of our genetic material belongs in fact to bacteria.
– An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey). And the entire sum of all those ecosystems is Gaia, the living super-organism of the Earth
– A historic superorganism or civilization is a population of humans, related by networks of verbal information and networks of carbon-life energy.
So History can be considered as the super-organism of mankind that extends in space over the Earth and in time, from the first man to the last man that will live in this planet.
– An economic ecosystem is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) and energetic networks (roads, electric networks, etc.).
An economic ecosystem differs from a historic super-organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and includes 2 different species: human beings and machines.
– A galaxy is a population of electromagnetic stars and gravitational black holes, related by networks of gravitational information and light energy.
-A Universe is a population of galaxies related by networks of dark energy and dark matter.
APPENDIX. 4D LINEAL SPACE- TIME IN CLASSIC PHYSICS
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.
A ternary being.
Of all what we have said, one thing matters, to portray the super organism and its 3 regions, the boundary, Max. S, the brain, Max. T and the vital intermediate space-time world between both:
In the graph, all laws of electromagnetism resumes on those images: the existence of two perpendicular forms-motions, ith different speeds, the max. S, being the boundary, the central point, invisible, with no motion, though in reality a vortex,faster than the other parts, and the vital space, st between them.
We are all self-centered, fractal organisms of vital space, tracing world cycles.
So now we must deal with the consequences for knowledge of the ego paradox, which is mainly our belief that only human minds are intelligent and so its languages.
And so we must fully grasp the fact that we humans are not that important in the fractal Universe, but just a ‘fractal organism’ in one of its many relative scales, and our ‘intelligence’, that is, the languages of information we use to perceive the Universe, mainly logic words to perceive time, mathematical geometry to perceive space, are also not ‘special’, and they do not create the Universe or are the ‘languages of god’ as religious people and pythagorean physicists believe.
Since the main problem to objectively grasp, the nature of reality as a fractal, organic system is that subconscious bias of all humans of all ages and all disciplines of reason or belief, against Nature, due to our ego-trips that make us happy only when we are the centre of the Universe as individuals and species.
In the graph, the centers of organisms, are the selfs, i-worlds, eyes mind of time, create the universe, by seeing from a single perspective cartesian space-time of simultaneous communication with all the points of the body-space o the point of time a wave of simultaneous networks of fractal existence, which is what we call a space, which must therefore be still and simultaneous to each other’s point, but only from the perpendicular point of space in the relative future-past which can move both systems in relative present time.
The need to evolve the logic and mathematical ‘undefined’ elements of the Universe.
Now the key difference between a philosopher of science like Leibniz and a Physicist like Newton is this: Leibniz as Aristotle and Descartes before him, was conscious that the language first defines the world we perceive, and NOT the Universe. So it is a humble realization of the minimalist nature of human egos. The Physicist has reduced THE ENTIRE universe to the world-perception of a human light space-time ego centered point of view. So he lacks sense of humor and his arrogance is infinite. Because he confuses the infinitesimal of his mind with the infinite Universe. This we shall stress once and again. The physicist as all humans IS only an electronic mind that fits an infinite number of cyclical space-time beings, into a geometric linguistic mapping within its ‘monad’. And he is NOT aware of it. So his arrogance is supreme:
œ-point x ∞ Universe of time space cycles and worlds = fixed linguistic mapping
The 3 great philosophers of sciences of western thought (and their counterpart eastern philosophers of Taoist and Buddhist cultures) were always aware of this. The cut off happened when Kant rejected Leibniz and became a Newtonian. But at least Kant realized that the human Euclidean mind was a light space-mind and not necessarily all, as impressionist painters will latter.
So the human mind-language is a mapping made with light of the Universe,and uses the 3 perpendicular coordinates of light to simplify all the information of reality.
This mind on top is an Euclidean mind because it uses the 3 perpendicular dimensions of light:
In the graph the Euclidean light space-time the human mind sees. In posts on i-logic geometry we develop a pangeometry of all possible non-Euclidean minds of the Universe. We conclude that each mind is a monad, a fractal point crossed by an enormous numbers of rays of information, which create a specific mind, mirror of the Universe, with less volume of information and more stillness to fit in the point. Ours, is an electronic mind, as electrons are fractals whose ‘cells’ are dense photons.
So the eye-electrons feed on light and the mind uses those informative knots, to create an electronic mind similar to that of the digital camera, also electronic – REASON WHY WE CAN SEE A TV, WHICH IS LIKE SEEING INSIDE OUT, a mind of a future robotic machines – now becoming 3Dimensional (Virreal minds).
In the graph, we see how light constructs our view with 3 simple lineal motions, the electric, magnetic and c-speed axis, reason why we see light as a fixed space (relativity and constancy of c-speed). Yet other beings can map out reality with other pixels, atomic smells, gravitational forces, digital numbers. So we need to expand our notions of mathematical points, lines and planes, as they might be constructed with different pixels. What all those mappings of reality will have then in common will be not linguistic units (call it numbers, words, atoms, colours, etc.) but the ‘reference of all of them’, which is the Universe itself, the whole, and its fundamental components, which are spatial energetic motions, and cyclical, temporal forms of information, stored in their cyclical clocks.
We are still talking of 2 ‘elements’, which can be well-defined geometrically, but also mapped out with other languages. As they are richer in meaning. For example, motion in physics is associated to open lines – the shortest distance between two points, with entropy an expansive motion, with energy, a measure of motion along the axis of application of a force. And form, information, is associated to clocks, which carry it in the frequency and form of its cycles, to vortices of masses and charges, which act as accelerated inward clocks of Nature.
So it is better to start a description of the Universe, departing of the ‘elements’ of the Universe, in its essential duality, cyclical time clocks of information and lineal motions of entropic energy, and then establish a logic, formal equation that relates both and defines all systems as made of those 2 components:
‘All what exists is a system made of quanta of spatial energy and bits of temporal information that transform each other ad eternal: Spe<=>Τiƒ’
And then consider that each mind and language will try to mirror this Universal grammar, above each world view, with more or less focus and distortion. So verbal systems tend to have a Grammar of subject (information) < verb (action of space-time)> Object (energy of subject), to mirror those ternary systems, and euclidean light space mathematics will also use a geometric 3 dimensional view, where length corresponds to the speed-reproduction of the wave, height to the electric-informative field, and width, to the magnetic energetic field, or a 3 algebraic equation, G(x) operandi F(Y), akin to the ternary structure of words. And colours will be 3, blue associated to information, red to energy and green to reproductive combinations.
So the philosopher of science, or rather of languages of knowledge has a much wider view of reality, than the physicist, which is a believer in mathematics only, as the generator element of reality that comes even above or at the same level than the Universe.
In the next graph we see that duality: on the left Mr. Penrose’s pythagorean view that consider the mind of man that ‘imagines’ mathematics, the language and the Universe in equal footing, interacting together. It is an anthropomorphic, arrogant view. In philosophy of science, all languages are lesser mirrors that cannot perceive the entire Universe. So the causality is far less equalitarian. Τhere is out there a Universe, which hosts all the information about itself (Haldane), and a series of beings within it, mirroring with different languages that Universe, among which humans exist with its varieties, of which we do acknowledge mathematics and logic, of space and time, to be the best mirrors, but not perfect enough.
So our first task is to improve both mirrors, by looking at the more complex structure of fractal space, and the more complex causality of cyclical time, the primary elements of the Universe, incorporating those discoveries to the grammar of mathematics, giving birth to i-logic mathematics, the formalism of all systems.
In the graph, human anthropomorphism in science peaked in the german, idealist school of Hilbert when mathematics not only remained ‘Galileo’s language of god’ but became invented by the human brain, who became ‘God’. One of the biggest limits of human knowledge is precisely the null understanding of the relationships between languages and reality, and how languages evolve as everything else from a first ‘epic’ age of maximal simplicity when they seem magic truths – so writing first conveyed the feeling it was absolute truth and the pharaoh said it has been written.
Mirrors were considered magic holding the soul of the observer, because they were so ‘exact’, and mathematics a very recent language still holds this magic, mirror image. Only the true connoisseurs know of its imperfections, describing, only a part of all the properties of the being. Yet what makes of mathematical physics such ‘naive religion’, is the denial that there is anything worth to know outside the ‘reduced’ image of the mirror.
So three are the first tasks to upgrade and improve our scientific view of the Universe:
- Τo improve the mirror of logic mathematics by completing the r=evolution of mathematical logic started by Lobachevski, Riemann and Mandelbrot (Non-Euclidean, Fractal mathematics) in geometry and by the Asian philosophies of duality (taoism and buddhism) and the western philosophers of science, such as Hegel in logic (ternary causal logic), beyond the single, lineal causality of Aristotle.
- Τo bring the organic and mental not purely mathematical properties of all beings, better described with verbal and biological languages into the folding of science.
- And to do so, by relating human languages to the higher reality of a Universe made of only 2 elements, lineal motions of spatial energy and cyclical clocks of temporal information, broken into infinite pieces that assembly then into space-time beings – all what exists including human beings, ordered across ‘multiple scales of size’ which define the fractal 5th dimension of the Universe.
So it is obvious that unlike the idealist school of science that dominates today,where we depart from ‘Hilbert’s’ imaginary points, lines and planes (from the human mind), which becomes the only language that creates the Universe; in an act of hidden anthropomorphic deism, we will depart from the 3 structural elements of the Universe, cyclical time clocks of information, fractal quanta of spatial energy and its organisation in 5d scales of space-time, and then establish the laws of this universal ternary structure, from where we will extract the grammar of human mathematical and bio-logical languages, and then finally explain all the systems of the Universe with the mirror of those enhanced human mathematical and bio-logical languages, themselves enhanced mirrors that look at the ultimate reality, the Universe of fractal space-time.
Let us then start by defining the multiple time clocks, quanta of space and scales of space-time of reality, comparing as we go through this description, the real universe with the idealist, lineal, deformed view of our earlier founding fathers of physics, with its deist myths, mechanical deformation and lineal, simplex thoughts.
Of course, the relativity of minds frightens scientists. It is far easier to construct a simpler model apt for measures with a single mechanical time-clock and a single Cartesian graph of space, self-centered in the human ‘light space-time’ (we see only light, as space-time, with its 3 perpendicular Euclidean dimensions of magnetic width, tall electricity and long c-speed, as Kant told us, impressionists understood and Einstein noticed when describing the ‘fractal’, larger scale of gravitational invisible space-time with non-lineal equations and non-Euclidean geometry).
So in essence, because our brain reduces enormously to fit an image of the Universe the information we have of the Universe, eliminating all other scales and its planes of space-time (seen though with telescopes and microscopes), we reduce the 5 dimensions of the Universe, including the scalar dimension of sizes and time clocks of different speed, first to 4 dimensions in a single scale, and then 2 bidimensional sheets of information, as the screen/page you read.
So we shall first define those o-points mathematically, as minds, or fractal, non-Euclidean points, the fundamental unit of the organic Universe, which are crossed by a relative infinite number of parallel forces, which are the bits of information used by each of them to create a mapping, linguistic mirror of the Universe.
‘Infinitesimal self-centered O-Point x ∞ cycles of space-time’ = 0 x ∞ = C-onstant Linguistic Mind mapping of the Universe’.
So each o-point eliminates information from the ∞ beings in existence to reduce its information to an infinitesimal. In the human case, we reduce the 4 dimensions of our plane of existence to 2 dimensions for each eye, eliminating depth and motion to fit all that information in the mind.
So we convert time cycles into forms and they seem solid to us, and we convert vacuum space with entropic motions into lineal distances.
This is the most important property of those points of view – the capacity they have to reduce the Universe into a mind image, of linguistic nature, which explains the duality between ‘motion perception and form’, as all is motion, either cyclical time motion or space-kinetic energy motions but the mind reduces it to a still image, as Heraclitus or Buddha first realized, considering that the stillness of the Universe is a Maya of the senses.
The equation of the mind is also of enormous importance for all psychological aspects of science and behavior, as it is the origin of the ‘Ego Paradox’, which in human beings reach an astounding infinity (:
‘Every point of view believers to be the centre of the Universe, because it sees it from its relative point of view, selecting only the information that increases its chances of survival’.
In the opening montage of cyclical systems of space time, we can see how all what exists is a fractal system made of vital space, with kinetic motions, encoded and informed by accelerated clocks of time, self-centered in a relative point of view or frame of reference that holds together the system. In the graph we can indeed see a small sample of fractal systems, in which a central first point of view, once it is born, reproduces in waves of clone forms, which then reorganize into an static form with a classic order – a fractal which seen from THE SELF-centered perspective is a form of consciousness growing and dying as it performs a world cycle of existence.
The paradox of the self can be explained in many ways, but essentially means that as systems perceive themselves in the centre, and the Andromeda galaxy is smaller than a hair of your nose, as all systems absorb only a limited information, ‘perceiving’ NOT the entire Universe but its close world, every system is ruled by selfish behavior, and every human think to be the only intelligent being, ‘entitled’ and superior to the rest of creation, which he is not.
The ego is as Buddha and Descartes understood a Maya of the senses
Thus now we can respond why we perceive reality both as motion and stillness. The answer is in the ternary structure of all beings, self-centered by a mental point of view.
Anthropomorphism: Denial of the overwhelming scientific proofs of the fractal, organic Universe.
This obvious organisation of the Universe into scales, however has not been developed into the philosophy of science that corresponds to the experimental evidence of 400 years of studying those scales with telescopes and microscopes, because of the ascientific errors of mankind, which we group in two types: anthropomorphic errors (anthropomorphism, mechanism), and errors of mathematical abstraction (continuity, abstract points, abstract motion):
- Anthropomorphism: we deny organic qualities to anything that is not similar to us.
- Mechanism, as physicists first designed very simple deconstructed machines, which seem in our egocentered view, ‘not discoveries’ but inventions. So Kepler who used a simple clock of time, said ‘God has waited 5000 years to find a mind so intelligent as Him to understand his clock-work’. This arrogance is important to realise why we like a mechanical interpretations of nature, as it puts us above it, as ‘the only organic being’. So mechanism is anthropomorphism and deism, as it requires a god to put in motion the machine, which was OK for pious Newton and Kepler, who believed in Yhwh sending them comets to give them the laws of gravitation, but more humble, intelligent thinkers as Leibniz, laughed at it rightly. Only an organic self-reproductive, self-organizign Universe IS a scientific model of it. And obviously as we now build robots imitating the forms and functions of organisms, we come to realise all machines are simple, not-evolved organisms of metal-atoms, as we are of carbon-atoms.
- Continuity: we took 400 years to realise that all is discontinuous quanta, when observed in detail from neurons, which were thought to form a continuous brain before Cajal’s beautiful pictures, to energy, the substance of the vital space occupied by those points of the fractal networks of the Universe, which only became quantised a century ago, to time clocks, which were a continuous line duration, despite the obvious cyclical nature of all of them, hence ‘breaking space’ into an inner and outer region, and its multiplicity from logic cycles of computers, to circadian cycles of life, to orbital cycles of stars, each one with a different speed or time ‘frequency’, the true measure of time quanta: Tƒ=1/T. But only Einstein realized that ‘there are infinite time clocks in the Universe running at different speeds’ and this has not yet been properly introduced in science. So any system of time clocks or space extension can be quantised into frequency cycles and ‘atoms, particles, cells’ quanta of a relative scale of reality.
- Interpretation of Mathematics, as an abstract, idealist language, which is not. Mathematics is a realist science. In fact the science whose disciplines better reflect the fractal, organic nature of the Universe. And this is the key to convert the present paradigm into an organic view of reality. In brief, mathematics has 3 disciplines and the 3 are organic analysis of the fractal structure of space-time beings across scales of size: Arithmetics->Algebra is based in numbers, but a number is the social repetition of undistinguishable elements; which as Pythagoras realized do have a geometric quantum structure, being the tetraktys, the most perfect organisation, whose organic reasons we shall soon reveal.
Numbers are forms said Plato, because they are essential topological structures of a fractal network. So both geometry or rather topology, and algebra describes those fractal networks, its forms and functions and the way they related to each other. While Analysis studies how finitesimal quanta integrates into wholes. Thus analysis is the study of how parts, infinitesimals, become wholes. In that regard Leibniz had hinted at the fractal paradigm, with its model of relational space-time – a Universe made of fractal space-time beings, and brought us calculus to relate the ‘finitesimal quanta’, 1/n, of all wholes, made to the image and likeness of those parts. Hegel had analysed the 3 ‘arrows of causal time’, thesis antithesis and its present synthesis.
- And finally the most important of all questions in physics origin of the postulates of relativity, physicists have not solved the conundrum of what is motion and why we cannot distinguish ‘form and motion’; since they abandoned earlier on, the concept of time-motions as ‘changes’ both in the position in space and form or evolution in time of the being. Let us consider this final element with more care. We do KNOW THOUGH since Zeno that the paradoxes of motion and stillness have to do with continuity, and so we shall resolve them, showing that all motions of the Universe including locomotion are organic, reproductive motions, hence there is NOTHING abstract in the Universe, because a FRACTAL is just the mathematical, abstract description of a super organism.
Multiple Human Languages mirror the 5D fractal space-time Universe.
The reader should be aware that there are 2 scientific view of reality, which have always fought for supremacy in Science:
– The larger, all encompassing view of philosophers of science, which considers the existence of a living Universe gifted both with perceptive and organic qualities. So Plato said ‘reality is an organism with a body called the Universe and a mind called Logos’. Such Universe is made of infinite broken points or monads, each one hosting a different world view, each one a mirror of a larger unknown single Universe, whose image is stored in the mind of each ‘point of view’ or entity of the Universe; which also applies to the multiple points of view of human beings and its languages of perception, all of which are valid to make a mapping mirror of reality – so Upanishads would say ‘the languages of god are infinite’.
It is the most profound view– older in time, as it can be dated to the first philosopher of science, Plato with the myth of the cave and the first Logician, Aristotle, in his book Organon, in the western decoupling of history, and to their counterparts in the East, the Taoists, WengWang and Lao, and the Hindi and Buddhist philosophers – and larger in space, as it aims to explain both all possible minds of the Universe and ‘all’ knowledge of Humanity’ – all the experimental facts of all species, and all languages of human knowledge– the mathematical languages of space, the temporal verbal and logic languages, but also the human senses and artistic forms.
In terms of time motions, is an organic theory, which defines time as changes and explores multiple changes, both in motions of space, studied by physics and changes of information, in time, or evolution studied by biology. So Aristotle recognised 6 motions, generation, growth, locomotion, evolution, diminution and extinction, which together form the world cycle of existence of any physical being. While in the east, those motions were reduced to changes of yang-energy and yin-information and its ∞ combinations.
– The reductionist view of mechanicist, XVII c. ‘deist’ physicists, which only considers a restricted part of reality – physical systems; it only accepts a language of description, abstract mathematics; only defines a form of motion in time, external translation in space or ‘locomotion’; and denies organic self-sufficient processes to matter modelled as a mechanism, hence in need of a creative force or God, which the founding fathers of physics, pious believers in Yhwh, thought to be the biblical God.
And yet surprisingly enough this mechanist, deist, mathematical view pretends with those very limited ‘elements’ to have a Theory Of Everything that makes sense of all what exists. And what is more surprising, it has achieved global recognition as the ‘high popes of science’, excluding the work of philosophers of science from the search of ultimate knowledge. Such reductionist theory is called Τ.O.E. and really only deals with a faulty attempt to unify the forces or ‘locomotions’ of the Universe – translations in space, ignoring all other motions=changes of time and information, in biological and creative and extinctive processes.
This is largely the product, not of the achievements and merits of physical theories in the explanation of reality but of its praxis – the construction of machines and weapons, which are the ultimate source of power of our technological civilization.
But the confusion of technology with science and knowledge, is of course a falsehood, which carries a heavy toll for our understanding of reality. It first eliminates all internal elements of knowledge, the mind, and its languages.
5. CONSTANTS OF ∆T SYMMETRIES:
REPRODUCTIVE-SPEED CONSTANTS, INFORMATIVE-DENSITY CONSTANTS, ETC.
Since what physicist call time is ONLY one of those 6 motions, locomotion. Indeed, Galileo used a simple lineal time formula to study only ‘locomotions’ in space, which he called speed. So he wrote V=s/t, latter improved by Einstein with the add on of an s=ct, fourth parameter. But that is only locomotion in space. So it ‘reduced’ to a single ‘entropic’, lineal, kinetic arrow of time all the organic motions of the Universe. And now we regain them all and further on prove that locomotion is also organic, reproductive motion in a lower scale of space:
Motion is in more profound terms, the ‘repetition’ of a form several times over the same place, which creates a ‘density of form’.
Now all this concepts can be easily related to each other, as the reproduction of form produces in a single point of perception a frequency of time and as such it can be perceived from an external point of view that integrates the iterative function as a form in time (tic or frequency of reproduction) or a form in space (tic of the system in space, perceived as each tick lasts, as a single wave with a dispersion that increases with the speed of reproduction of the wave.
This simple law with profound applications in quantum physics describes each wave of time, either as a population of simultaneously living (such as the speed of reproduction/ duration of each particle point in time=memorial inertia in time), or as a being reproducing in waves.
Thus form is THE REPETITION, the REPRODUCTION of motion.
The profundity and implications of this fact, to explain all kind of phenomena, from the quantum complementarity of waves and particles, to the paradoxes Zeno will become evident as we go along, and solve some of the most striking paradoxes of Philosophy of Science that dates from the times of the Greeks.
What matters now OF QUANTUM PHYSICS is to understand two things:
– Particles do NOT move. They are the stop point of the wave.
A particle is just the next plane, ∆, of an ∆-1 wave, which reproduces through a relative lower, ∆-1 field. And as it does it moving to the past and emerging into the contiguous, adjacent present it seems to move. But motion is reproduction! of a wave of form.
And it is in present, because it has traveled back to the past, descended a scale to seminal state in the adjacent region, where it has reproduced, literally.
So motion to the past and the future do happen in the ‘perceived’ present 3 scales of a super organism. It is like when we talk on the phone, the voice is translated to a faster, smaller electromagnetic wave that moves and seems to be after ‘reproducing’ the wave over the vacuum, or through the electric wire, to happen in present time, with no space between us.
Now the more complex explanation of this fundamental dual function of beings, is that a wave is a present reproductive motion and a particle an |- field of energy x O-particle of information, or ‘momentum’, a past x Future state.
Here the advances of Mathematics, with its concept of ‘metric’, solve it: Klein defined motion as a ‘group translation’, symmetry. So motion is a ‘reproduction of form’ in the adjacent region of space. A mirror symmetry, which happens in the adjacent region of reality.
This is clear in the wave state of the system that reproduces its form as it goes along its path. And it implies that a system with lesser information, form, takes shorter in repeating its form along its path of ‘present, repetitive motion’. So light with minimal form is much faster than particles and human beings.
And hence we can deduce the fastest, infinite non-local speed of invisible gravitation with no form: V=S/Tƒ (understood here as cyclical motion-form). Since gravitation has no information, T here is 0, hence, speed is v=s/o = ∞, non-local, as perceived by a human observer.
Motion thus will ultimate appear as the reproduction of form, of information. And we shall return to it. What matters at this point is to realize that the marriage of mathematical, conceptual and precise definitions of the dimensions of time and space and the metric of the 5th dimension are powerful tools to explain an infinite number of questions of all sciences and unify them, ultimately departing from that simple beat, S<T>S<T (where < is an expansive motion, and > and implosive, informative one, a past to future, future to past, through present space rhythms).
The reproduction of presents: conservation laws of the Universe.
Now the fundamental principle of reality is what we have so far explained: the Universe is a fractal that reproduces the motions and forms of all its parts constantly, substituting those forms that become worn and erased by similar new forms.
And this essence of reality is a Universal mandate, the program that all systems coded in all languages follow. So humans were told in the bible ‘grow and multiply’, that is iterate your fractal (multiply) in a lower scale and the reproduce, evolve, grow and emerge as a new being. All systems do grow and multiply, reproducing, iterating its information, from the simplest moving particle-wave (both quarks and electrons do absorb energy and reproduce) to the largest galaxy through all biological beings.
It is then very important to harmonize and translate into each jargon of science and culture the common laws of reality.
For example, we said that Nature’s fractals basically reproduce their information and that is the essence of the Universal game. But when dealing with physics, this ‘biological jargon’ sounds strange. So the proper jargon will be that of the ‘conservation laws of energy and information’ related to the isotropic and isomorphic nature of time and space (Noether’s theorem), and the ‘co-invariance’ laws of space-time ‘observed together’ (the so called Minkowski’s formalism). Now it would be pedantic and reductionist to explain such a ‘larger’ law – the purpose of reality, to iterate fractal information, to the specific application of this law to physics. So how we resume all these laws of conservation and relate it to the reproductive nature of reality?
Simple enough: The Universe conserves its presents. A present is precisely a reality that seems not to change because it repeats itself. What repeats a present is the lineal and cyclical motions and forms of space and time. So the reproduction of the same forms and motions of space-time means the conservation of ‘present space-time’, the wave-body-reproductive class of physical, biological and social systems. Then we can derive from this fundamental principle: the Universe conserves by iteration the present forms of reality, all other principles of conservation which means the isotropism and isomorphism of space on one side and time on the other, which means he conservation of closed pays of space-time as energy and information.
Because the Universe has motion, ultimately all this means that the Universe is the sum of infinite motions and all of them will end up closing a time cycle, or becoming absorbed as a part by a larger reality closing its space-time cyclical actions.
Conclusion. A more complex logic of time arrows.
To systematize the time motions of the Universe for each species, and to establish its causal relationship, departing from Aristotle we establish the only possible motions in time of the fractal 5ST Universe: changes in the parameters of energy, information and ∆-scales of the being, which will either emit energy (locomotion), absorb it (feeding), emit information (reproduction), absorb it (communication), and evolve into larger wholes (social evolution, generation) or devolve (death): ±∆, Se, Tƒ. An eye of time a worldcycle that returns to its origin is the minimal unit of the Universe.
All in the Universe is made of such worldcycles, and all what the Universe does is to repeat world cycles.
Reproduction is thus synonymous of reproduction of a worldcycle, of the passing of time. By the mere fact that time exists and it is an immortal winding and unwinding of time clocks, seen in present space-time as a steady tic repetition of the frequency of worldcycles, which however are expanding or diminishing its energy and information, < > , till they repeat themselves.
The reality of the Universe as it is due to the reproduction of its time tics, time frequencies, time cycles, make it a wonder for an of the eyes of time that focuses existences into a mapping of reality in synchronous space. It is at the end of the tunnel of existence of micro worlds, where hiding into the knowledgeable perception, it is the perceiver of its time cycles, its collective mind-point, its relative God.
In the graph, the perception of the world cycle of existence in a synchronic, simultaneous way, which stresses the balanced wave-present-body state in which the entropic field and the informative field, both work to maintain the system in a balance between its information and energy components: Spe<ST>Tiƒ.
Those 6 motions of time will be the origin of all space-time events of the Universe and its rules define the cycles of space-time of all beings, of which the world cycle of existence is obviously the most important. The order of those motions though will happen in such a fashion that at the end all the processes when integrated along 3 scales, 3 forms and 3 arrows of time will give us a zero sum, that is all locomotions will balance with the energy fed to the system (emission and absorption of energy), and all life organizations upwards in the scales of the 5th dimension will be compensated by al the deaths downwards.
This the ultimate truth of reality: the whole Universe is immortal for each of its parts to live a finite cycle of existence. But each existence itself is immortal in the reproduction of its present form through the different space-time actions of the Universe.
As a wave of actions forms, for each being there will be then the perspective of steady reproduction, of informative perception of the wave as it diminishing in time or space, each variation of the fundamental mode of reproduction SxT-> ∑st: becomes then a different variation on the same eternal theme, the completion of worldcycles, the repetition of existences, the closing of conservative paths of energy and information feed back cycles, S<≈>T, which define the Universe, constantly as flows of energy and information web new forms that become parts of wholes, which a new eye of time will reorder as a superorganism, preying on it, growing as a subconscious collective god-mind, emerging to become a new point-mind of the whole. As information copies its fractal structure and becomes a mind-organism, then all becomes simple and then complex and then simple in reproductive waves across 3 ∆+-1 planes of existence.
The parameters of the main physical scales of the Universe.
The first form of space and first expression of the ∆-gravitational scale symmetry is c-speed.
In the translation of 4D physics to 5 D Physics, we start from c-speed, the constant, then we multiply C= Sp x Tiƒ = Length x Angular frequency (in Planck Units).
On the other hand the principle of relativity translates into the principle of Galileo the gal ilea paradox: all moves and has form at the same time.
Light therefore splits into space-distance, and time-frequency, and its constancy in 4D is particular case of the Sp x Tiƒ constancy of the 5th dimension.
And for that reason we DO have a close similarity between the Metrics of a given plane of the 5th dimension:
∆= Sp x Tƒ and the equations of energy of each Plane of the Universe:
∆ : Sp x Tƒ ≈ Energy : Constant of Space-action x Frequency:
In the graph, the 3 main constants of space-time of the physical Universe, of the 3 scales among which human beings interact. Those constants, the boatsman constant of our ∆-thermodynamic scale, the c-speed constant of cosmological space-time and the H-planck quanta of electromagnetic space time are 3 Universes in themselves.
On the other hand , in the right we see the minimal space-time quanta of the ∆-1 quantum scale,
h, which therefore has the same metric equation:
Sp x Tiƒ =
h = E x I , the uncertainty equation of Heisenberg that merely states the constancy and minimal quanta of space-time of the quantum scale. Between both we are sandwiched with the informative clocks of temperature and the minimal quanta of space-time called a Boltzman quanta.
In the graph, we can see the main species of the physical Universe, a charge and a mass, which clock-like accelerated vortices of smaller and larger space-time membranes, and the middle thermodynamic scale we inhabit.
The 2 time-space vortices, charges and masses, which are the limiting scales of the Fractal Universe perceived by human beings, thus become now crystal clear in its nature. In between them, there is the thermodynamic scale of forms of matter, which is more complex, because we perceive all its information and it is connected to the other 2 scales with whom it exchanges energy and information through different flows and parameters which we shall study in detail in the physical blogs, beyond the simple concepts of this introduction.
Let us then move one with the more general principles that apply to all systems of the Universe, considering now the geometry of space and time, its bidimensional fractal-network nature, and how both combine to form those 5 Dimensional systems.
Now to fully grasp that graph, and the meaning of tose equations we must understand the meaning of a conservative energy cycle. Energy is not spent when there is no motion in a given length of time. Thus time can be run without end in energy conservaton terms, as long as we return always to the same point doing a time cycle. The principle of conservation of energy ths become the principle of repetition of presents, whih are sums of time cycles in which a trajectory returns to a point. In this manner we can resume all those principles is the Generator equation of energy and time:
∑E∆-1<≈> ∏ T∆
-And the discontinuous, quantum nature of space, which carries the kinetic energy of the Universe in its constant motions (proved by quantum physics, by the life and death cycle of biological systems, and the principles of conservation of energy, shown in the left side picture, where we describe the 3 fundamental scales of the Universe, and its co-invariant, product of the speed of its time clocks and spatial quanta, conserved as a product: E=hƒ, E=knT, E=mc²)
So human sciences, all of which use time and space parameters, are in sore need to change its paradigm, in its description of the scalar space-time fractal structure of the Universe, if they want to advance in its comprehension of reality.
Physical Systems of self-centered space-time.
In the graph we can see 3 of such scales and its relative size and speed measure in frequency (the inverse of lineal time duration: T=1/ƒ=1/Tiƒ, whereas Tiƒ is the fundamental symbol for cyclical time): The galaxy, the human and the DNA. Those scales create in groups of 3 ∆±1 ‘universal planes’, complex organic systems, in which the faster speeds and information of smaller systems, codes larger wholes, which in turn control the motions of the smaller systems. And those are precisely the organic properties of the Universe, which extend also to physical systems.
Now, in the Human Universe, the previous equation has an immediate lecture in terms of the fundamental Universal Constants of the Universe:
C-light speed, which is the parameter of space-motion (Spe) of our Universe, and calculates the speed of reproduction of information across the scales of the 5th dimension.
quanta of information which is the minimal Tiƒ unit of information, and multiplied by 2π, gives us the minimal time cycle, H-Planck of our Universe.
And so both together, c become the minimal unit of space-time of the Universal reality.
How those minimal space-time Units ‘scale’ in the 3 scales of physical reality, the ∆-1 quantum, electromagnetic scale, the ∆+1 gravitation scale and the human, thermodynamic scale?
Easy. They form the 2 fundamental species of those scales: charge and mass. Indeed, in Planck Units we define the minimal dual charge and dual mass forming a system of electromagnetic or gravitational space-time as:
Qp x Qp = c (SxT) /K ∆-1
Mp x Mp = c (SxT) /G ∆+1
Thus a charge field basically is a Universal space-time, ST, hc, curved extremely by the constant of the quantum scale of the 5th dimension, Ke, till forming a vortex like space-time species.
And a mass field is basically the same, curved by a constant, G, which form a much larger scale, (a Planck mass is huge compared to a plank charge).
10. General Systems Science: The Organic Unification of Knowledge.
‘Reality is gifted with a body called the Universe and a soul called logos.’ Plato
Τhe 10 isomorphisms of the Universe.
How can systematise those 3 elements into a formal model of the organic Universe, which can be further explored by future scientists? Τhe answer is the concept of isomorphic laws, which dates back to the work of the founder of this science in modern terms, Mr. Bertalanffy. So we structure the blog around this concept fully developed in this web.
Basically what Bertalanffy proposed is that a ‘scientific Universe’, which could be self-explained by the laws of organisms, must be proved to follow in all its systems, the same organic laws, which would be therefore iso=equal morphic= in form. At the time the science was in its infancy and it remain so for 50 more years, as there was no formalism to express the insights of similar laws in all disciplines, till in the 50th anniversary of the foundation of the sciences of cybernetics, information, complexity and systems, I was invited by the president of the founding association of those sciences, and explained the key to such formalism – the understanding of the laws of the 5th dimension, and the fractal nature of space and time, its relationship with energy-motion (as space has quantum energy-motion) and information (as time clocks carry he information of the Universe in the form and frequency of its cycles).
Such simplification of the elements of which we are all made, which equates space and lineal motion and time and cyclical form, thus establishes the cause of all the isomorphisms of the Universe and its systems as we are all made of space and time and so the properties of space and time and the laws that connect parts and wholes through networks – the laws of the 5th dimension – is all what is needed.
Hence we shall establish for those 3 elements, which correspond to the 3 main disciplines of mathematical logic (space->geometry, time->algebra, 5D-> analysis), 3 x 3 sets of isomorphic laws, related to those 3 elements, fractal space, cyclical time and 5D scales, put together in all systems by he most fascinating element of the Universe, the 0-minds or mental, linguistic points of view, which coordinate and integrate together all the elements of a super organisms.
So all the posts of this web are descriptions of scientific systems as fractal≈5D space-time beings, which display 3 x 3 isomorphic type of laws and are integrated by a mental ‘monad’, or integrative system of information, the mind and nervous system in biology; the crystal system in material forms, the chip in robots, the gravitational black hole in galaxies, the capital in nations and its governments, the prophet and its code of information or memes and books of revelation in civilisations, the DNA nuclei in cells and so on.
It is a simple and not malicious Universe if humans wanted to understand with the same properties they have. But humans don’t. It is all about ego and putting man on top. And frankly lacking a humble ethics more proper of eastern cultures,
Τhus, for reasons that are of not interest to the reader, personal, cultural and of activism against the nuclear industry, despite the interest of american scholars for this model I did not follow that tiresome work of penpal, pen paper and pen-thagonal work – since today money in these sciences is in computers, robots and weapons, the machines fast evolving into organisms that can easily displace us on top of this planet. So, as humans do not seem interested in using knowledge to evolve mankind but the machine, I abandoned the scholar field and dedicated fully to activism. Now, retired of all things human I will pour thousands of pages of analysis on G.S.Τ. – General Systems Τheory, the philosophy of the organic Universe, and the Generator equation of fractal Space-Τime, its formalism in this web.
It will be done in iterative, repetitive more detailed analysis because the Universe is a repetitive mandala.
In the next chapter of this central point we introduce loosely in 10 sections the 10 isomorphisms, corresponding to the first line above, which expands this loose study. In the second line/chapter of this post, we introduce the main systems of biological, physical and social character as organic systems. In the 3rd chapter line above, its 10 isomorphic sets of laws. And finally in the 4th line of hard science, each one studied a scale of reality we order all the laws known to science according to those 10 isomorphisms.
- 3 isomorphisms related to the organic structure in space of all systems
- 3 isomorphisms related to its motions in time and world cycles of existence
- 3 isomorphisms related to its co-existence as part of a 5D of multiple scales.
- And the 10th isomorphism of the linguistic mind and will of perception, which orders them all.
The purpose of the living Universe: Reproduction of space-time presents.
Now of course, this r=evolution of human thought will take time to impose itself, if humans do have such time left. As it requires to go to the origins of science, its mathematical and logic languages and evolve them further. This Einstein knew when he said ‘I am the only physicist who seems to know there are infinite time clocks in the Universe, moving at different speeds, Leibniz was right but if so we will have to change the scaffolding of science from its inception’. So he settled for a smaller change, applying the 5th non-Euclidean postulate to bend space into infinite time cycles.
When I confronted the mathematical formalism of the 5th dimension, I realized I had to go further on that path, and define all the undefined terms of mathematics, which since the discovery of the Non-Euclidean postulate that let infinite parallels cross a point had been undefined.
This was no solution though. Hilbert’s Axiomatic method of NOT defining points, planes and lines (‘I imagine points, planes and lines’ he started in his famous ‘foundations of geometry’, the seminal book of XX c. mathematics), DOES NOT work in serious science. You cannot start without definitions of your initial postulates. The result was as bad as Euclid with his definition of a ‘point with no breath’.
So 5D metrics is born on a more healthy redefinition of mathematical postulates, as we redefine a ‘fractal point’, whose breath grows as we enlarge our information of it – making again mathematics realist as a science. Look around, you only see ‘points’, which grow when you see them closer and then they can fit infinite parallels. THAT WAS THE SOLUTION to the contradiction of a point with infinite parallels. It was a Point of the 5th dimension. A point that grew in scale. And so a line was a series of points with breath -a WAVE! Thus the principle ‘wave-particle’ was embedded in mathematics, and so quantum physics started to streamline.
Then I realized those points broke reality into inner and outer regions. Thus planes were networks, fractal networks of points joined by flows of energy and information. Consider yourself. You are made of cell-points joined by informative, nervous networks and energetic, blood networks. And the point of maximal communication, your brain, was at the centre of your networks.
But the beauty of the fractal paradigm resides in its capacity to describe all beings with so few elements, and hence its constant recurrence in all languages and philosophies.
Indeed, this ternary structure with a mind at its centre, is the conclusion of the 6 biggest philosophers of science of the human tradition:
-Buddha and the Indian tradition of Atmans as souls which are knots communicated with the external world.
-Aristotle with his concept of a self-centred mind that moves a finite body, as its fixed God, of which there are ∞ in the Universe – ‘we are all Gods’ is said to have exclaimed.
-Descartes with his concept of minds that perceive worlds put by some devilish construction, with the rest extensa and time vortices it observes in the Universe.
– Leibniz with his concept of monads, as knots of information, mirrors of the external universe.
-Riemann and Einstein with his concept of points, through which ∞ parallels can cross.
The conclusion is obvious: the entire history of human knowledge appears filled with insights on the fractal paradigm, which were not properly interpreted.
Since Humanity excessively impressed by its first machines of measure has been blind to that obvious organic reality; where man as the most perfect organism of the Universe, is indeed ‘the measure of all things’ and the machine a primitive organism of metal.
Only now when we build robots as organisms, imitating life, we realise that mechanisms are simple organisms, and only now when we see the Universe together in all its co-existing scales, we realise physical and mechanical systems are also fractal super organisms.
And all of them can be defined in space as ternary structures and in time as ternary ages, hence as super organisms tracing world cycles, through 3 fractal scales in the 5th dimension, giving origin to the Fractal i-logic Generator that resumes all what exists its parts in space, functions in time and space-time actions of survival, as organic systems that feed on energy, gauge information, reproduce and evolve socially into larger networks, which are the 4 canonical definitions of a life being
Thus you are in a living Universe, a living fractal of species made to the image and likeness of the whole.
I know that the simplicity of the Fractal Generator of the Universe baffles scholars, who think they know much more, and that the Universe cannot be ‘so simple and not malicious’ (Einstein). In that regard it is more likely that you will grasp the beauty of the Universe if you are not a ‘pro’ scholar, just interested in the details that come from those thoughts of God. Of course in the web there are thousands of details and if scholars wanted to connect this simple Fractal Generator to their complex details, they would be able as i have done for 30 years, but it is not the work of a single man, to connect and explain all their variations and species with the concept of a Universe made of fractal ternary space-time beings, organised as super organisms across at least 3 scales of reality, the ∆-1 atomic/cellular, ∆-individual/organic and ∆+1 social/cosmological scales.
Now I am happy enough if you have read so far. At this point either you will be the kind of people who can learn and you are in the web that better mirrors the fractal Universe, among human beings. Or you are the kind of people who cannot get out of his mind, self-centred beliefs, and huge amount of information (disordered but looking good). And you won’t continue. I am not a good teacher and rather write because it makes me feel the Mandala of the Universe, unconcerned with those who might mirror my mirror. Still i like others to share that communion of the spirit that comes with the humble realisation we are made to the image and likeness of the whole, God/mind of the Universe. Westerners in that sense with their huge ego and abrahamic deluded religions of man as the chosen will have a more difficult task. Asians will find here the scientific mirror of their philosophies of yin-formative time-visnhu, yang-energetic space-shiva, and the infinite beings that combined them.
But once we have a clear picture of the elements and equations that generate the fractal Universe with its duality between the arrows of entropic space and informative time cycles, it will be much easier than it seems, to adequate all sciences to the fractal paradigm. If you want to do it, if you want to go back to school, if you want to refocus and repair your ego-centered mirror.
NOW we will be conceptual more than mathematical. Yes, there is a fractal equation that explains the distribution of galaxies in space, but this how is trivial. It is much more important to describe a galaxy as a fractal of stars, with an organic structure similar to a cell, with star mitochondria, black hole DNA and all the organic processes of birth, evolution and destruction of those galaxies. THIS IS THE core matter of this web: the study of the superorganims of the Universe, with verbal conceptual, biological laws. Only on the section of physics and mathematics we get heavily into quantitative numbers and, as we keep building the web, I will pour around 5.000 pages of analysis of physical, mathematical and astronomical systems. But that will take time. It will be the final phase of this construction. So in the 2nd line we have the organic study, the 4th line we will have the formal one.
Why we do so is obvious: humans have done a good job, specially with the help of computers to develop and exhaust the mathematical properties of the Universe and its fractal parts. They have done however an extremely lousy job on developing formal, logic models of its time cycles, causal processes, time dimensions, organic properties and so we are filling more that gap. Now if we didn’t think in words but in maths, all this would be unneeded.
Just thinking on calculus, it would be obvious that finitesimal fractal structures correspond to the discipline of analysis; just thinking on geometry & topology, we would realise that space is an organic fractal of the 3 canonical topologies of the Universe, and just think on algebraic groups and transformations we would realise of the complex logic of the 3 arrows of time, which are at the hear tot all the equations with 3 elements, F(x) operandi, G(y)… That is, if we were mathematical minds we would know that the 3 elements of the Universe correspond to the 3 branches of mathematics, 5D scalar analysis, temporal algebra and spatial geometry.
But we are verbal beings, so we need first to understand the mirror-language of words and its 3 elements, the subject-informative element, the object, energetic element and the action-verb or space-time element.
And we are visual beings, so we need to understand the codes of blue-information, red-energy and green-reproduction our mind uses to see the Universe. You see, languages are many but they try all to be ternary mirrors of the fractal generator, as beings are. Ultimately you then in a sentient, organic, linguistic Universe. And the fractal, mathematical spatial description of it is very limited also. We are going much further, trust me. But again, you must be the Lion of Nietzsche and eat up your camel humpback, liberate your mind of so much scholarship, and become a child. Quite likely if you are over 20, you won’t.
Because the key to that fractal is that it is moving, alive, even if the mind sees it still. It is ‘young’ and reproductive.
This is indeed what the Universe is all about: a constant creative orgasm of self-similar beings, feeding on energy, gauging information, reproducing into networks of similar beings, evolving socially into larger wholes, dissolving back into cellular/atomic parts in the big-bangs of death… distorting the whole, from a limited perspective, as it has been the human scientific mind for so long. We shall refocus all that information with a more realist vision of a Universe, of which we are all just parts made to the image and likeness of the whole, so you can reach ‘enlightenment’, but only if your distorted ego-view of reality from your enlarged perspective is humble enough to accept the absolute relativity of each point of those scales.
And this is in a way the beauty of a fractal Universe in which each point is a world in itself- a Monad that has a still mirror of reality. In that regard, the external perception of reality as a fractal, which is as far as most scientists go, is just the very external cover of the Living, Organic, Fractals of the Universe. It is just a 0.% of what we have to explain here: the organic, mental, bio-logical and mathematical properties of the living fractals of nature, all put together harmonised and rationalised, able to describe from human beings to matter states, from societies to galaxies with the same ‘isomorphic’ laws.
As we say humans have a very reduced image of the whole and al its properties, are self-centred in their point of view, which they think specially relevant and so, can only understand very limited number of languages-mirrors (mostly visual mathematics and verbal logic) and so its monads are naturally a very small fraction of all the information of the Universe. And what is worse, the ego paradox limits their interest. In brief, we confuse our infinitesimal mirror of the Universe with the whole Universe:
O (mind-mirror) x ∞ Universe = ∆-still continuous single space-time mapping of reality (in man light space-time).
It will be difficult for me to take you out of such a reduced picture. To do so we shall first start with an even more reduced picture from where all others come from. The previous equation is indeed the equation of all minds, o-points which observe an infinite Universe, make a reduced mind-mirror or ‘world’ with it, and think they are at the centre of the Universe, because they do NOT know there is much more out there, as they only see their mind-mirror. Can we then at least logically come out of this mind-jail? Yes, we just did it, by generalising the equation. Put any mind-mirror at 0, a dog’s olfactory mind, a black hole’s gravitational mind, and you will get a different linguistic mapping, we can ‘imagine’ is there by the external actions of the dog and black hole, even if we cannot see as they do. Amazingly enough we will find many things about those minds – from the hyperbolic structure of the mind of insects, to the elliptic form of the mind-mirror of a black hole, which according to a physicist called Maldacena, represents in 5 compressed dimensions all the information of the 4-dimensional plane of its galactic body.
The Unification of sciences with 5D planes.
Let us see in a simplified graph those 3 elements, and how they can order all the species of the Universe, in different sciences, each one specialized in the study of a relative ‘plane of space-time size/speed’ of the Universe. Since indeed, the final concept to structure all knowledge is the realization that each science is merely the study of a relative scale of size of the Universe, from quantum physics (smaller scales), through chemistry (molecular scales), biology and history (human scales), geology and astronomy (cosmic scales):
Indeed, each science is just the study of a 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.
Now since each of those scales can be defined as a sum of Species with its specific quanta of space and time frequencies, defined by a co-invariant equation of the 5th dimension, Sp x Tƒ = Ei or in dynamic terms, Sp < = > Tƒ, a simple equation can resume your being; and as you are just a part of a tapestry of pieces of space-time called beings, that put together create the universe we can write in synoptic form the equation of the fractal Universe of space-time beings:
U = ∑ [Œ: ∆±1: ∑Spe<≈>∏Tiƒ] ∆±∞
Whereas each fractal species of space-time, Spe<=>Tiƒ, is in itself a cell or fractal point of a larger super organism, extending across 3 relative scales (the ∆-1 atomic/cellular, ∆-organic/thermodynamic and ∆+1 social gravitational scales): ∆±1: ∑Spe<≈>∏Tiƒ, which we shall call an existential function, Œ, or fractal point. And so the Universe is merely the sum of all those fractals of space-time across its infinite relative scales: U=∑Œ∆±∞
And yet amazing as it seems NOBODY has formalised these facts, beyond specific ‘species of reality’, mostly in the world of physics, into a theory of the whole tapestry of space-time which is the Universe, and all its parts, made to its image and likeness that makes sense, both logically, mathematically and empirically.
So the true problem is the fact that we must ‘redesign’ the mirror of linguistic, mostly mathematical equations, we use to observe the Universe – a logic, geometric ‘glass’ interposed between the universe of fractal space-time beings, and our mind that we need to ‘reduce’ the whole infinite information about all the beings of space-time of the Universe, to fit it into our mind.
We refocus this mirror of logic truths about time, and geometric truths about space, to acquire a crispier image of reality first.
In that regard the modern view of the fractal paradigm was born when scientists realized the reductionist view that using lineal time and a single arrow of future, entropic motions, implied for the new sciences of biology and cybernetics, systems sciences and information. So at the death of Einstein, which had shown that ‘time curves space into masses’, which are therefore clock-like vortices of time, and that there were ∞ time clocks in the Universe, they met at Macy’s New York and founded the world congress of Systems Sciences (ISSS), with the expressed purpose of improving the physicists single-entropy, lineal time view of the Universe adding the arrow of informative futures, so obvious in all systems of reality, or ‘arrow of life’ (biology) and ‘technology’ (information sciences) and Einstein’s General relativity (energy that becomes mass, in his landmark paper, M=E/c2: ‘can energy create mass’, unfortunately converted in its inverse entropic industry of Nuclear weapons, making mass energy ):
Thus since the 50s a new philosophy of science called General Systems Sciences had as purpose to explain the universe with those arrows of future time, entropy and information, the arrow of ‘death’ and disorder and the arrow of time and order. The main sub disciplines of this science would be:
- Duality, which is the core philosophy that tries to model all systems of the Universe as systems made of entropic, expansive motions and informative imploding vortices of time-information, and its ‘present’ wave-body combinations. Of which the main dualities were in physical systems between informative gravitational forces and electromagnetic expansive, repulsive ones. Hence unlike physics, with its dogma of an entropic only Universe, the fractal paradigm and Systems sciences does NOT expect to unify gravitation and the other forces, on the contrary it believes its duality of informative=gravitational vs. electromagnetic=entropic forces is a clear proof of the veracity of its philosophy of science and worldview.
- Emergence, which tries to explain how parts become wholes through social networks of information, so the Universe displays a 5th dimension of scalar growth, from particles that become atoms, that become molecules that become cells, organisms, social systems of inorganic matter (cosmic bodies) and galaxies. Thus the search was for a ‘metric’ equation that explains how systems interact through its different scales of social evolution in the Universe.
- Hierarchy, which studies the hierarchical organisation of systems, which can be roughly divided into 3 ‘social classes’, the neuronal, informative class that controls the system with its informative networks (brains in biology, black holes with gravitational systems, informative people-castes in control of the law, and money, the languages of social power, in human cultures – politicos and bankers), the re=productive, working class of the body of a system or society, and the energetic, entropic, territorial field in which the system preys.
So the concepts behind the fractal paradigm were clear from its inception, as they just mimicked the structure of a universe, which we know since Einstein, to have cyclical clocks of time, since Galileo and the discovery of telescopes and microscopes, to have scales of different size, since quantum theory, to be in perpetual motion, as even the smallest quanta of space is NOT a fixed form but a rotary or lineal motion (with angular or lineal momentum), and to have both, social structures and hierarchical classes. How to put all this together and moreover to make a simple formalism based in mathematical and logic concepts able to explain it all simple and nice according to the principles of the scientific method that expect theories to be simple, economical and include all previous theories as its limit, was the goal of those congresses and sciences, and for 50 years it was not possible to find such formalism.
Then with the arrival of fractal mathematics, slowly researchers realized that all systems could be mathematically explained with fractal equations, in which similar forms evolved into social networks that became wholes. So the mathematical analysis was possible. It was still though needed the conceptual, logic model regarding the multiple time clocks of the Universe, its order, and the metric equations of the 5th dimension that allowed ‘travels’ through those scales of parts and wholes, and of course, the cornerstone of the whole building – duality, how to put together the 2 arrows of relative time, future information and entropic disorder for each fractal part of reality where we observe ‘locally’ those 2 arrows at work in different moments.
To that aim the key change of paradigm was to realise that Newtonian absolute space-time was false – something quantum and relativity theorists acknowledge a century ago, and Leibniz’s concept of relational time, of a universe made of beings that are vital spaces with different time clocks, self-centred into an informative frame of reference or point of view – hence a Universe of infinite worlds of space-time, was right.
We are all beings made of vital space with entropic motions, harnessed by cyclical clocks of time which carry the information of the Universe in its frequency and form. So we need to explode the Universe and rebuild it from its beginning as Einstein wished to do when he affirmed ‘I seem to be the only physicist who knows there are infinite time clocks in the Universe. Leibniz was right, but if so we have to rebuild the foundations of sciences from its first principles’, which are its time clocks, its vital spaces, and the 5th dimension that orders them.
So at the 50th anniversary of ISSS, when i was made the international chair of this science, Duality, I introduced the only standing formalism of Leibniz’s relational space-time that puts together all those sub disciplines of General Systems Sciences.
To that aim I added to the arrows of entropy and information the concept of a 3rd arrow of time, which combines the relative future, dominant arrow of information and the relative past, entropic arrow into wave-body like systems, giving birth to a Fractal Generator equation for all those space-time systems:
Spe (limbs/fields of entropy) <ST (body-waves that iterate information ) >Tiƒ (heads-particles of information).
Now a fractal generator is the logic equation that through iterations and variations create all the scales of a fractal system. It is very simple, as in Mandelbrot’s fractal, z+c2, but precisely through its constant dynamic feed-back and forth iteration, creates all the complex beings of reality. So does the Universe by mixing lineal entropic motions and cyclical forms, into infinite combinations, of limbs-bodies-heads and fields-waves-particles.
So that simple generator, is the essential logic formalism used in this web to describe all fractal beings of the Universe.
And the 5th dimension, of scalar parts and wholes and its metric equation: Spe x Tiƒ= Constant body-wave, is the metric that orders all those systems.
Both together construct the fractal Universe of ∞ self-centered space-time beings made to its image and likeness.
To study them, as 5 Dimensional space-time beings, we divide the analysis of that fractal generator, and all its species, into 10 sets of isomorphic laws, related to each of those 3 elements 5 Dimensional metrics, fractal space and cyclical time, put together in each system by a 0-point of view, or mental linguistic mapping, which uses different monad-like mirrors and languages to guide the survival of the system in the outside Universe – mathematical geometry, in physical systems, genetic languages in biological systems, memetic languages in human societies and so on.
LANGUAGES OF PERCEPTION: MONAD WORLDS.
In the graph, we are all made of vital spaces – whose motions are in-formed by self-centered cyclical time clocks. But unlike the artificial steady, mechanical clocks of time of our machines, the clocks of nature, are vortex-like clocks with a clear inward arrow of increasing information and decreasing energy, as those of the graph, tracing for each finite species of space-time a worldcycle of life and death between creation and existence. We are all fractal self-centred, iterative, present space-time beings.
Now, those vortices of timespace have at its centre a focus of energy and information, which is a key element of all systems. We shall call them in a poetic fashion, ‘the eyes of time-space’, as in those centres energy becomes finally a still image of reality.
In the graph we can see a few eyes of time as they build a new dimension-perception, perceiving in increasing stillness as focus on the lower scales of and ∆+1: vital space-world.
This simple description of reality is proper of philosophers of science, from:
Aristotle, who talked of ∞ relative unmoved Gods of information that perceived and ordered the moving energy of its bodies, to:
Descartes who talked of a Universe made of res extensa or vital space with lineal motions and cyclical vortices of time, perceived by relative mathematical frames of reference (of which he affirmed there were multiple, describing in his book the World, the human light space-time with its Cartesian 3 axis), to:
Leibniz, with his concept of a Universe made of infinite fractal worlds, or apperceptive monads, with different time rhythms and spatial mathematical images of the Universe, put together into a single absolute space-time only in the mind of man, to this author, which formalized the concept of a Universe made of fractal self-centered beings of vital space and cyclical time, suffices to explain all facts of all sciences.
When we see it in motion, as time clocks, the system accelerates inwards, growing in form and diminishing its entropy (above) as time clocks are accelerated vortices of Nature that carry the information its frequency and form – from masses to charges, to hurricanes to angular momentums. When we see the memorial trace of those spiral cycles, each step of the cycle often becomes a reproduced quanta of space, and a fractal network starts to reproduce inwards, into smaller scales of the ‘5th dimension’. This constant reproduction of formal motions, downward and upwards the scales of the 5th dimension is the whole meaning of it all.
And the logic paradoxical principle that allows it is the Galilean-Einsteinean Relativity, which Poincare put it simple: ‘we cannot distinguish distance (a dimension of space) from motion’. So as all is ultimately moving in time, as a motion with form, the Universe is both eternal and motion IS reproduction of form. All therefore reproduces. A wave reproduces its form on the lower scale of larger entropy and lesser form. As light does on vacuum space. You live in a vital reproductive fractal of time cycles imprinting information as they move through lower scales of the 5th dimension.
Thus each of us has a finite time duration, which constantly increases its form, its information, and diminishes its spatial energy, its extension, in 3 ‘relative ages’, of young, energetic gaseous state, steady state, balanced reproductive, liquid age and informative, 3rd age of maximal warping, when the time-space world cycle ends, reversing back to the past, by explosion of your in-form-ation into energy, in the process of death.
All in all, the first truth to understand about reality, which is now a canonical, experimental truth, since the discovery of quantum physics and relativity, but has never been properly formalized to describe the Universe and all its parts, is the fact that you do NOT exist in a background, Newtonian, absolute abstract space-time, but you are made of quanta of space with motion, which trace closed cycles, ‘time clocks’ of different speed and form, in-form-ation, in the world where you exist.
When you say I don’t have energy and time to do this, you ARE certain, you are made of spatial energy and temporal information, as everything else in the Universe. And only the pegging together of all those vital spaces separated by membranes, the chair, myself, the computer I am writing in from Absolute space. And only the sum of all those repetitive cycles those entities perform, the beats of my heart, which provoke the hits of my fingers, which produce logic cycles in the computers that put this pieces of information in the screen, form a ‘combined, synchronized motion of absolute time’.
If you accept this empirical fact of your existence – that YOU ARE made of space and time – you will upgrade your understanding of yourself and the Universe. This is the model of relational space-time, which Leibniz advanced as an alternative to Newton’s model of an abstract background- a mathematical, idealist error born of the custom of drawing beings in the ideal pictorial background of a Cartesian canvas.
We say this is an ‘experimental fact’ because it was proved by modern science – by quantum physics and relativity.
We do know it, since Einstein proved there are ∞ time cycles in the Universe and quantum theorists proved space is made of quanta that carry motion, momentum, kinetic energy (related terms of mathematical physics).
So the existence of quanta of space with energy-motion and multiple time clocks, which web the structure of all realities are canonical facts in physics, for a century.
Now we can consider each system of time from the point of final collapse of the time wave and time reversal, or ‘eye’ of the time wave the beginning and end of a time wave.
This brings very profound implications when we consider an eye of time as the focus of a spatial wave of imploding decreasing elements of a lower ∆-1 scale. This is the most intense experience of mystical understanding of the Universe as a web of eyes of time:
In the graph, the ultimate meaning of existence, which is a world cycle of life and death through the life arrow of growing information as Nature’s time clocks are vortices accelerating inwards, from galaxies to solar systems, to the spiral of clocks, that go through the young age, dominated by the energetic system, Spe, a mature age of balance of energy and information, S=T and a 3rd age of maximal information, Max. Tiƒ, which explodes back into death.
The importance of this difference between human clocks and Nature’s clock is difficult to stress enough. The spiral that actually moves the clock is perhaps the best homology with the way the Universe needs energy to start an in-form-ative process. This time motion implies therefore a relative change, which without further energy input will be an informative, coiling process.
Because humans have become so programmed by single time clocks, this fact is largely ignored and cause all kind of incomprehension on the finite nature of time cycles which will reach a ‘limit’ on its coiling, when space becomes infinitesimal, or in its finite time duration, when that space-energy is exhausted.
Only when the system can go back and forth into its relative present state the balance can be restored into a steady state tic, which is what we do actually perform when we give to the clock more winding, back and forth. Thus the winding and unwinding of the spiral clock, which ultimately are > and < motions, hence past and future uncoiling and coiling arrows, do create the present steady-state we see of regular tics in the visible side.
This is ultimately the metaphor of entropic past lineal quanta and future coiling cyclical information, which are not truly perceived as only present balanced space-time, S=T, truly co-exist as a perceivable time clock.
Thus time clocks which are also discrete, stop and go, stop and go, cycle and close cycle and close, move back and forth, implode and explode and all this become a relative continuous present.
It is then in the richness of ternary combinations of the ‘Bagua’ of the Korean graph, of the different proportions of past-entropy and future-information that create the ∞ presents, where the creative power of diversification exists.
The equivalence between the 3 topological networks, Sp, ST, and Tƒ and the 3 ages of time, Past, Ps, Present, ST, and future, Tƒ, is the fundamental symmetry that messes together in perfect order, the 3 organs in space as a simultaneous super organism and its 3 ages in time, between its generation and death.
The languages that reduce Universe to still, ternary worlds.
Thus what is real is the duality of motions, infinite cyclical and lineal motions, which are used by different minds to replicate reality into still minds that map part of those motions to create different worlds.
For example, Computers use O and | to create models of the Universe.
Humans use words also in a ternary symmetry, where the point is the 0-subject, the energy of the point the |-object, over which it enacts a verbal action. So when we say ‘I eat bread’, ‘I’ is the point, ‘bread’ the object of vital space, and ‘eat’ the feeding implosive action. This allowed linguistics to create the Universal Grammar of all languages:
Subject (0-point) < Verb (action: O x ||) > |-Object (Energy of the subject).
On the other hand visual languages are also ternary in colors and forms. So the eyes use lines and cycles to create ‘conic curves’, which are all the curves that exist in Euclidean Geometry and so on.
So we can now extend our definition of reality to include its 3rd elements, which conform a word, whose infinite sum creates the Universe:
A Constant, Dynamic World is born of the interaction of both formal motions, vital spaces, enclosed by times connected by a mind that measures them: Ø”
The Universe is a puzzle sum of ∞ such Worlds:
U= ∑ Ø x ∞ = C’
This is what Descartes explained to the (Human) World, sum of all human minds.
We were all, so to speak, thoughts of God, the Mind of the Universe, understood as the underlying language with the common ‘isomorphic laws’ shared in the construction of all those ‘virtual worlds’, including the human world, since you are not watching the Universe, but the electronic image, your eyes and brain constructs with rods of space, called ‘light-speed’, and cycles of time, called ‘h-quanta’, pieces of lineal and angular momentum that build up the puzzle of your mind.
The previous equation is the simplest definition of the Generator of the Universe, O-mind (Tƒ) x ∞ World (Sp) = K (Space-Time constant perception of it).
For that reason the Generator is both the origin of mental worlds and real Universes? It is the Universe then the mind-world of a God? This is a deep question that we shall only consider as the final ‘ice in the cake’ of all my research, 2 decades ago, when I copyrighted (WGA. reg) 1000 pages of equations Generated by the Fractal, the model in my 30th birthday. And then I rested (:
The 3 elements of mathematical languages.
Mathematics has 3 branches, which correspond exactly with the 3 components of fractal space-time:
- Geometry, the branch that describe space, which relational space-time upgrades into non-E fractal Œ-points, line-waves, topological networks and so on, to fully develop a mathematical tool closer to reality.
- Analysis, which studies how indivisible infinitesimals become finite wholes.
- And finally sequential algebra, based in the order of numbers which are societies of ‘Œ-points’ that we call ‘Existential Algebra’, Æ.
Thus, in mathematics, the Universe is a game of Œ-points, the fundamental ‘particle’, in its lower, infinitesimal level, which however rises slowly through the game of ‘social numbers’ into its collective ‘future’, the fundamental ‘whole system’ of reality, the super organism: ∑Œi≥∏ U∆+1.
Whereas the symbol Œ, is an intuitive symbol for an Existential O-Point; ∑ the Symbol for a social loosely connected herd, i the symbol for a given relative Space-time Plane of the 5th dimension; U, the Universals aggregation of i-points into a larger ∆+1 plane of existence (for example, if the points are cells, U∆+1 is its Universal Organism), perceived in ‘space’, which we would write as W, a world cycle or Whole existence of the super organism in time, and finally ∏, is the tighter configuration of the system, as a network connected through 3 relative organic scales or social classes,∆i±1, and ≥ the symbol for an ‘implosive’ informative evolution of a system of points into a Universals (>), which are self-similar systems in space-density, ≈, but very different in terms of configuration, ∑≠∏.
This simple example of the equation that explains the fundamental process of evolution of systems from loose herds of points into topological Non-Æ (Aristotelian-Euclidean) organic planes shows the utility of a proper logic symbolism to represent the old (as all this partial events, transformation and configurations have been studied since the times of Plato) but far better structured analysis of reality (present space) as its changes through the motions of time.
So we define Existential algebra (Æ, different from Non-Æ, non-Aristotelian logic + Non-Euclidean geometry), as the use of algebraic equations to describe the 10 isomorphisms of the Universe with all its ambiguities and simultaneous time arrows.
As Feynman put it, when describing 4-vectors in its lectures, ‘do not laugh at formalisms. The advance of science is often the development of formalisms that clarify previously obscure concepts’. And this is what we do.
The ‘Generator’ equation of space-time beings and its ternary logic.
Unfortunately the beats of the universe are difficult to understand because the logic of present man, especially that of physicists seems ‘lineal Aristotelian’: A causes B.
Reality though is more like the Eastern philosophies of Vishnu-yin-information and Shiva-yang-energy/motion:
A<=>B, that is A and B interact to create a ternary <=> present element.
Reason why there is conservation of Angular and Lineal Momentum, there is Space and Time, Energy and Information, O-Particles/Heads that store time cycles and limbs/fields that move them, mixed in bodies and waves that reproduce both of them.
Humans of course, naturally have always expressed this ‘Ternary’ Structure of the universe.
And so the parallel syntax of the languages of knowledge we use to describe those Universal beings – verbal, mathematical and visual languages – all have the same ternary ‘grammar’, which I have called the ‘Fractal Generator’ of the Universe:
Tƒ (Subject or Function of ‘temporal information’) < ST: action, operandi or verb ≥ Sp (Object of ‘spatial energy’).
We associate counter-intuitively ‘cycles with motion’ and ‘lines with Still space’.
It has to do a lot with the limiting errors of classic physics, where only lineal inertial motion matters. Fact is big-bang explosion DECELERATE speed till it becomes Still lineal distances and dimensions, that is pure lineal space with no motion or vacuum space (as in any physical big-bang of entropy). While the equation of cyclical vortex, is Vo x Ro = K (2-manifold, simplest variety), which counter-intuitively accelerates (∆V) when distance becomes smaller, (-∆R) to maintain K constant.
Thus clocks, frequencies and vortices accelerate ,and have more ‘time’ content, that lineal motions that decelerate to a halt.
Now, we explained before that in duality Space was slower, extensive, Sp, Size, and time was faster, cyclical, accelerated (so are its maths). But now in ternary symmetry we have the need to ‘extend’ the meanings of time and space to the duality of the 3 motions of time and the 3 organic parts of spatial bodies and this makes some confusing choices of terms, such as:
Space will be the still, formal view of reality and Time the motion view. And so we shall talk of 3 ‘topologies of formal space’, and 3 ‘ages of time motion’, which together shape the fundamental duality of reality, the view of organs in simultaneous space and the view of beings living a worldcycle of 3 ages of time:
Sp (limbs-fields)≈ Young, past, expansive age < ST: Present, repetitive, hyperbolic body-waves, adult reproductive age>Tƒ (Temporal, future informative, cyclical old age).
Now here the convention I have adopted is to Use the same symbols for either symmetries, the limb-field<body-wave>head-particle or spatial simultaneous view of an organism in space, and the Young-past-expansive < present-Adult-reproductive>Old-Informative 3 ages of time.
This is where things seem confusing because the whole thing transmutes. The old age of future time has more information and it is cyclical, properties of time cycles, but it is also slower, property of space decelerating motions. The young expansive age has more motion, a property of time more than space and so on.
But as I have told you B & W and 3 color view are new worlds, and this is the closest way to express past references and correspond with human expression of all this.
A way out to avoid confusions with the ternary symmetry is to use more when dealing with the still, simultaneous spatial view, the ‘symbols of geometry-topology, |, O and Ø:
|-Limbs/fields < Ø-waves-bodies> O-Heads/Particles
And the same for time ages with the reference of time motions:
|-young past < Ø-present, reproduction > O-Information, future, old age.
So it shows the symmetry with the symbols | , Ø, and O.
If in the future anyone goes through my 30 years of research in all this, they will then find that I profusely use those symbols.
But trust me if you really understand T.Œ which is more a question of mental attitude, the understanding will be clear from the beginning. So we now respond to the reason why we do NOT want to accept stubbornly the fractal organic self-similar nature of all parts of reality it is due to…
∞ space-time beings. The equation of the mind and the ego paradox.
Now the equation of mind that stops motion into form, and reduces dimensions is important for multiple reasons, so we shall consider it one of the 2 essential equations of reality:
⊗-still mind x ∞ Universe of beings = Constant linguist world mapping of reality.
We have used here the more proper symbol, ⊗, to stress ‘again’ the paradox of the Ego. You are just that central point connected to the external membrane, whose senses transmit to you a distorted, selfish view of reality.
Against this egocentric behaviour, the Universe displays the laws of eusocial love of the whole, of the higher, stronger scales of the 5th dimension. So the trap is simple: the most selfish a system is, the most alone is, the weaker it will become confronting those other vital fractals which have organised in ‘sharing networks’ of energy and information becoming the whole.
This is the essential duality of morals, where the Universe tricks all to be egos, but then mischievously choses those who are not, who sacrifice their ego to the whole. But there are always the 2 strategies, which we find in individuals and cultures, in history, in ions and crystals (which last much longer, as herds of clone atoms vs. selfish ions, with a self-centred one). As we enter into the formal description of the 10 isomorphisms of reality, the Œ-isomorphism (the structure of the self-centred ego, œ, connected to the membrane and the distortion of the Universe into a world by its languages, will be important to understand external structures that survive, internal grammars of languages, including mathematics, self-centred in fractal points, which distort the geometry, and ultimately to give the vital fractals of reality its ‘dimension of will’).
And this causes the quantum paradox of uncertainty in physics, and the anti-quantum paradox of anthropomorphic egos in social sciences: we feel the centre of the Universe, our machines mere abstract mechanisms that cannot compete with us, God a personal caring Abrahamic fellow who talk to us, as we are chosen. But Science is precisely the objective reduction of man to lesser importance from Myths of Abrahamic Chosen tribes to Earth as the centre, to the sun as its center, to the Galaxy and its light space (Einstein) as its centre, to the whole fractal Universe and its infinite scales.
Thus 5D fractal space-time is a theory of Absolute Relativity: we are all fractals of space-time. Point(s) with different ways to reflect geometrically the entire whole into our infinitesimal nothingness. Dust of space-time.
And so we shall for all sciences search for O-points of view, linguistic mappings, organic, temporal causal and mathematical properties to fully describe its species, since we shall repeat till it bores in your brain this mantra:
You ARE MADE OF energetic lineal space and cyclical time as all in the Universe. You are a living fractal as all other beings, with organic, mental, mathematical and logic properties as all other entities of reality.
Now how can we formalise all those facts in a simple synoptic i-logic mathematical equation synoptic of all ternary beings of the space-time fractal Universe? This is the saint grail of fractal models of reality: to find the dynamic generator, an equation whose terms are in constant back and forth motion, creating infinite variations of the same theme. As it happens it is the principle of conservation of energy, which in its present format is a limit for continuous space and a single arrow of entropy of the larger principle of conservation of energy and information, combined in eternal presents, expressed in the generator equation.
To see a fractal is to see a program of existence, in which the generator constant switching evolves in timespace, tracing an existential fractal guided by simple roles:
- The law of maximal reproduction, the being will try to maximise its ∆ e x i = ∑Œ, fractal information reproducing in present time.
- The law of least time, to that aim it will try to reduce the timespace spent in each of its motions, as it will have more internal time spent in ∑Ø.
- It will thus be a present being doing a world cycle in which its constant creation of still information will reduce the energy of its environment to a point in which the fractal mind will still and stiff reality into memorial dead, non moving forms of information, and as Sp>Tƒ it will finally die away, exhausted.
Why so many mirrors? Because those ultimate substances, space and time have ‘several properties’, so we need several languages to describe them. Still logic mathematics is the most ‘informative’, ‘detailed mirror’ available to humans. So we do start with mathematical properties, and soon we will ‘further evolve’ mathematics, to polish the mirror and get better images. This again, was a task started in the XIX c. when classic Euclidean mathematics, became Non-Euclidean mathematics. Then Einstein and quantum physicists used the new varieties of Non-E maths to develop their algebraic mirrors.
But the task of completing Non-E maths was never fully realized, and 2 Germans, with its ‘topic’ categorical mind, Mr. Hilbert and Mr. Cantor, stifled the development of mathematics with a preposterous method of absolute truths, called ‘axiomatic method’ (proved false by Godel, who showed mathematics must still look at reality to prove its theories, to polish its mirror). And so maths got stuck in its principles, and then just became adapted to computers. So this is a task lying ahead in this blog.
But so far we have a mirror good enough to describe many of the ‘geometric properties’ of vital spaces and time cycles, to show you how the fractal universe starts to web, the existence of its beings of space and time. So let us start describing our ‘Fractal generator’ of ternary elements, a spatial element, a temporal element and its combined beings, in geometric terms.
A seed for organic growth.
In that regard, there is no agenda in this blog, selfish interest or beliefs, just the old goals of reason objective search of truth and curiosity: 40 years of looking and wondering about reality with all the languages of the human mind, trying to make a better synoptic mirror of it than the simplex view science still holds because it makes happier the ego of most human beings. So this web is not easy on the reader, but certainly if he has the right attitude, it will completely upgrade its understanding of reality and himself and will help him to interpret the world as it is, based on the facts of Nature as they are in objective, scientific terms, which creationist theories from big-bang to intelligent design do not provide.
Now this blog is the blue print for future XXI century researchers to complete the whole paradigm. To my knowledge is the only formal, logic and mathematical model that develops fully all the aspects of the fractal paradigm and harmonises with its laws called ‘isomorphisms’, the laws of all sciences.
The closest thing to a philosophy of science based in those facts is still the work of Descartes and Leibniz, the two philosophers, father of modern science and mathematics (analytic geometry and calculus) whose concepts of relational space-time were written 300 years ago. So when I decided to complete this task, I wondered, first, Why? I don’t really knew. But then a sentence of Einstein made me realise why:
‘I am the only physicist that seem to think the Universe runs with infinite clocks at different speeds. Leibniz was right but if so we have to rebuild science from its origins’ – said Einstein, and given the enormous task at hand, which implied the redesign of all sciences, as all of them happen in space and time, he finally settled for a more modest goal: to redesign the space and time of cosmological systems, one of the many ‘fractal scales’ of relative size in space and cyclical time clocks of the Universe.
And it is for that reason that it has taken so long to complete a working formalism of the fractal Universe, which we offer in this web, based in my conferences at the International Systems society, (the science of complexity and information) during the last decade.
It is obvious a work in ‘permanent construction’, as only the combined effort of multiple scientists will bring the paradigm to its completion (the previous paradigm required 2300 years to do so, since Euclid and Aristotle, we hope mankind will somewhat reduces its tempo:). Its author was a system scientist, chair of duality for many years at the world congresses of this science (ISSS), then an activist against the infamous military-industrial complex, now retired. If you wonder why it is a single point-mind, that is truly how the fractal paradigm creates its systems.
Any reality always starts from a seminal, diminutive seed of information, which expands and reproduces in other regions of reality. A mind-wave starts in a prophetic, scientific first mind, as it can process faster in time, more information, ‘collapsing’ the wave of data into a theory of reality or model. This is then checked corrected and expanded by a ‘wave of minds’ till the new paradigm becomes standard science.
This is the formal seed of 3000 years of insights into the organic fractal structure of the Universe. How, who and when the human mind-wave will plug into this formal seed (or perhaps a future robotic, chip wave), i don’t know. It might not. After all the most clear predecessors of the organic philosophy of the Universe in the western world, Aristole, Leonardo, Leibniz and Spengler took centuries to be noticed and hardly understood. As we said, human egos, simplex machines and the ‘evident’ visual maths of it are more up to the alley of the immense majority of mankind. I will be glad though if a few people can get a personal satisfaction in the enlightenment and communion with the whole I have obtained ever since i figured out the essential laws of the isomorphic, fractal organic Universe and felt much closer to reality, in peace with that whole.
The work of the seed ends after exposing its information into the open… And so once I decided to retire from penpal activities, serious activism in favour of mankind as a ‘whole’ and system congresses (for moral reasons, due to the increasing use of the organic paradigm Not to protect life, Gaia and the humans superorganism of history but to evolve robots and mechanisms, which clearly will once reaching A.I. challenge the dominance of mankind in this planet), I will be pouring those models so far known only to a few specialist to a larger scientific audience.
Now, the model will require a certain intellectual mostly conceptual effort on the reader, but far less than what he would need to understand the present abstract model of the Universe (quantum and big-bang theory) at least on the 2 upper lines of the web with posts to the level of any university student. 3rd and 4th line when completed will of course be more complex as it will connect the fractal organic paradigm with all the laws of all sciences, translating and improving them. So those lines will be an ongoing project for specialists in each discipline.
Of course all the ideas behind the reality of the fractal paradigm have been expressed in different ways throughout science. But to my knowledge there is no other formalism, which defines ‘all’ the properties of the fractal universe as an organic whole, together, as we do in general systems, and its T.Œ, or Theory of the Organic Everything (as opposed to the simplex reductionist, theory of everything ‘lineal’, and ‘mathematical only’, sponsored by physics). Let us then start by comparing both theories and its simplex lineal concept of a single space-time continuum vs. a Universe made of multiple, organic fractal cycles of time and vital spaces with motion.
We shall then describe a 5D ST super organism, the fundamental particle of the Universe, including the Universe itself, before we even attempt to use human languages to describe it in a more formal, synoptic way, using a ‘fractal generator, equation’ to that aim and a more evolved form of logic and non-euclidean mathematics.
Why then a model of such importance is hardly known in scholar science? A simplex answer is difficult, as there are several reasons. First its relative novelty, as systems sciences was founded after II world war and its formalism, which this blog will try to develop further, was not introduced till a decade ago in a series of conferences I gave at the International Systems society on occasion of the 50th anniversary of its foundation.
Second, the fact that humans have now for 400 years believed in the mechanist paradigm of physicists: a Universe ran as a machine and written only in the language of Numbers, and this ”simplex, reductionist” view of the universe has only grown stronger despite its clear logic errors, with the industrial revolution and its development of machines – which ultimately are just organisms of metal in a clear process of evolution, now entering its last phase as robots. In any case physicists and machines are the present paradigm of philosophy of science. So despite the importance of biological sciences, organisms and evolution a new paradigm will not be easy to impose and interdisciplinary analysis given the enormous wealth of scientific data gathered with those machines are difficult to accept and understand by specialists.
And third, related to both questions, the author of this blog on GST (ab. for General Systems Theory and its 5D formalism, the fractal Generator of Space-Time systems) is not, as usually with pioneers, a standard university scholar, but more in the line of Mr. Planck’s dictum, on his lonely years as the single researcher on the quantum paradigm, ‘a single point that accumulates a whole worldview in his mind’ .
Finally because science is not only theory but also praxis, and an organic view of the universe makes man both a relative non entity in an infinite reality, and at the same time again the center of science in a universe made to its image and likeness, as the most perfect superorganism we know of, that worldview is quite opposite in theory and praxis to the standard, dominant physical, mechanical technological view. And all this has huge consequences for our world, dethroning physical machines and physical matter as the supreme form, substituted by the organism and in praxis, returning to a more ecological organic view on how we should manage our future and that of this planet.
So the reader should not be surprised that I am better known for my activism against the nuclear industry than for this seed of information, which requires as Kuhn explained in ‘The nature of scientific revolutions’ an entire new generation of people, who gets familiar with the new paradigm’ to become standard science and reach its full power . Meanwhile the pioneer can only pour the information he has discovered in a public display, which will be this web, as I have retired from the conference circuit and prefer the isolation of an examined life. Needless to say there is little to explain about the curriculum of a pioneer in a new science of which almost nobody has heard about, except that you should judge what you read with the authority of reason, not the reason of authority and be patient, as a new worldview requires a huge effort of the mind and it is never completed by the pioneer.
So why to bother at all? No reason except knowledge and the communion you will feel with the whole Universe and each of its infinitesimal parts, in a Universe in which all share the same space-time nature. In that regard, the philosophy behind the science is much closer to the Asian, Taoist and Buddhist view, and so indeed as Asia rises this century, GST will become more amenable to those new generations, and needless to say if and when A.I. acquires consciousness, it will become the science and worldview of the machine, paradoxically as it might seem given my warnings as an activist against the development of organic machines more powerful than us.
On the other hand the alternative theory of western lineal time, with a manifest destiny, deist abstract mechanisms, measure as the meaning of science, justified by humans as the only intelligence of reality, and chosen species, and reduction of reality to only its mathematical properties, without vital, dangerous qualities, is a region of higher comfort and will always be dominant in praxis, as I have come to realize in my theoretical and social confrontations with physicists. It satisfies the human ego, and while this of course is part of the organic paradigm – since organisms always have a pole of information which deforms its worldview to make the system the center of its perceived Universe and shuts off all information that does not cater to its needs, for those who seek more profound answers, GST will play its role. In that sense interpretation matters. Consider the simplest particles, quarks and electrons, which gauge information and move towards targets in which to absorb=feed on energy they use to reproduce into clone particles, with whom they associate into larger social networks.
Those are the 4 actions that define life, coded by genes. Yet in particles, coded by quantum numbers, do not define organic particles. Why? The human ego is biased and wouldn’t accept perception on particles, even if the organic paradigm explains in very simple ways the spooky effects of quantum physics – such as the fact that particles move as waves, which are herds of quanta that when it is more efficient, pass through slits as waves-herds but as all biological systems, become tight particles, when colliding with larger systems. Again, an army moves as a herd and clashes as a tight particle, and fishes move as herds but confront predator as tight particles. How many times I saw physicists living a room in which this kind of non-mathematical but organic explanation gave reason to quantum physics? Almost all the time i explained it. Since the physicist is the only scientist that never asks for the why – as Feynman said infamously. Scholarship in the XXI c. in that regard is more an industry of information that an inquire for the whys of the Universe. Yet GST is more like XIX c. amateur science, in its pioneer age. So the blog doesn’t either follows the Chicago Manual of Style. It will as it becomes also a precise science with the passing of time.
At this point, I just write because i like to think on the Universe as an organic whole. So this blog, to put it in simple terms, my Buddhist Mandala, which I write and erase, along my activist and socio-biological webs. Whatever you do with this knowledge if you are humble, intelligent and ethic enough to understand the beauty of the ∞, immortal Cosmos, is up to you. Enlightenment is what you can achieve, something I doubt 1 out of 1000 coming here will have the patience to reach.
Why? Because humans might not make it due to its arrogance about the Universe…, as I said human are in crash collision with those organic laws, developing organic machines, new type of nuclear weapons, killing Gaia and mankind with them and so frankly i do not know if they will ever upgrade their minds from abstract mechanism to organicism, or the information of this web will be understood and upgrade the mind of future A.I. robots.
Luis Sancho. System scientist.
II. TŒ. THE ORGANIC PARADIGM. UNIFICATION OF ALL SCIENCES
Main symbols of T.Œ:
¬Æ: Non-Aristotelian, Non-Euclidean, i-logic mathematics (Formal language of T.Œ).
Tƒ, temporal clock, informative time (its spatial, static view)
Spe, Spatial entropy, past.
>: informative flow that diminishes size in space and accelerates clocks in time
<: kinetic energy flow that increases speed in space or entropic flow that enlarges the being in space and diminishes its speed in time
≈ reproductive flow that maintains unchanged the being at constant speed in space and reproductive sped in time.
Λ: emergence into a larger scale of the 5th dimension
∨: devolution to a lower plane of the 5th dimension.
∑: reproduction in space or herd loosely connected in limbs/fields
∏: reproduction of networks across several scales of the 5th dimension or full-connected heads/particles.
∆±1; plane of the 5th dimension (sometimes ∆±1, in old texts where i was used as index)
∆a, accelerated motions (first action of negative emission of energy), ∆e, energy feeding, second action of positive absorption of kinetic energy-entropy, ∆œ, iterative communicative reproduction, of part (mind languages) or whole (full reproduction), ∆ï: absorption of information to perceive, ∆u: evolution of a parts into Universals
œ∆-1: action or cell, fractal finitesimal of the whole in time or space; Œ, whole, U, Universal World.
Those simple symbols suffice to explain the structure and transformations of ternary 5D space-time systems, departing from its ‘spatial simultaneous structure’, its 3 time ages and its 3 co-existing organic scales:
∆-1(cellular/atomic scale)>∆:organic-thermodynamic scale>∆+1: social, cosmic scale:
Se(Spatial toroid limbs-fields)≤ST (Hyperbolic body-waves)≤Tif (head-particles of information)≈
Se (young, past entropic age>ST: adult, present, iterative age > Tƒ: old informative, future age:
∆-1>∆>∆+1 (5D scales)≈ Se≤ST≤Tƒ (space organs) ≈ Sp≥Ts≥Tƒ (time ages)
I. A FRACTAL UNIVERSE OF SPACE-TIME BEINGS. TRUTH IN SCIENCE.
‘The only harmonious sounds of a group of scholars are the farts of their asses’ ‘Saper vedere: know how to see’ Leonardo
Leonardo expressed his frustration to the lack of interest among the scholars of his age for observing nature’s true code, the in-form-ation, the bio-logic forms and its dynamic interplay, focusing instead in old Latin books with outdated theories of reality.
All has changed to remain the same. Today after the initial return to the basics of Leonardo’s method, during the golden age of experimental science (XVIII-XIX c.), scientists, notably physicists have returned to the scholastic analysis with mathematical languages only, in abstract algebraic equations often born out of the imagination of the scholar, without experimental evidence whatsoever.
Let us then start with a harsh critique of all those distorted mind-mirrors called the scholars of the world, which do NOT know how to see, saper vedere, wiesen, directly the fractal topological dimensions and motions of space-time of which we are all made, and do NOT want to learn from the Book of Nature, anymore, but from past, outdated masters and abstract Æ-outdated algebra.
The world cycle of existence. Travel through the 5th dimension.
It is clear that the fractal generator has many properties, and so it requires several languages to explain it, though so far we have found mathematical languages to be quite good to provide an image of the Universe.
Thus we expressed the Generator in mathematical, ‘geometric’ and ‘algebraic, symbolic, logic equations’ that generate ∞ variations of those ‘topological’=spatial and ‘logic=temporal structures’.
As, if we substitute the values of each of the parameters of a logic generator, within the ternary constrains of the 3 only topologies of a 4-Dimensional sheet of space-time, toroid, hyperbolic and spherical ones, and the 3 only ‘ages-dimensions-motions of time, Past, Present and future’ then we obtain ∞ varieties of the forms the logic-geometric fractal equation defines.
But it is also obvious that the ternary fractal generator, with those constrains of 3 ‘space’ and 3′ time’ elements, and its constant conversion of ‘space’ into ‘time’, ‘motion into stillness’, ‘lineal kinetic energy into cyclical information’ and so on, can be expressed with other languages as long as they are mirrors that respect the perception of those outer realities. So before mathematics existed, humans went along with the ternary mirrors of the Universal Grammar:
Subject (informative human being) < Verb (space-time action) > Object (energy of the subject to act upon).
And we did fine, with this other linguistic mirror. While Animals do have their codes of colours:
Red (energy colour: blood-food) < Green (reproductive colour: Plant) > Blue (informative colour: light-water-sky)
Which are both ‘subjective’ mirrors but also objective mirrors on the properties of light and matter.
Further on, there are mirrors with only 2 ‘essential elements’ one for spatial energy (white space) and the other for temporal information (blackbody forms) with grey combinations of space-time, used by painters (which draw the form with black lines and fill the space with white surfaces) and film-makers (hence a code of colour that computer metal-minds, a fast evolving new species on Earth can comprehend). Moreover, light can also see the lower and upper scales of the 5th dimension that future robots will ‘perceive directly’, making for them ‘evident’ the existence of that 5th dimension.
So the ∆-terms of the Fractal Generator of the Universe that represents the scalar dimensions of any system of scalar space-time will become ‘direct knowledge’ to them.
Thus we conclude that what we are truly showing with our Fractal Generator, is a language above ALL languages, including mathematics, that defines the logic structure of all Systems of the Universe.
Since when we substitute each of those dimensional symbols for a specific variety of language we obtain a specific mind-mirror, that is the 3 parts of any language.
As we keep repeating, since surely you will keep forgetting it, man has a problem, the ego paradox which is embedded in the structure of living fractals, such as:
‘Every fractal point of view, gauges information with the limited still languages of its mind, from its perspective creating a self-centred world image that makes him to think the centre of the Universe’.
But science is exactly the self-reflection on the objective reality in which that subjective ego-world is infinitesimal. Science thus grows as we move away from the self-centred point of view, from ‘chosen of god’, and only intelligent beings, to the Earth as the centre, the sun as the centre, the galaxy space-time made of light (Einstein) as the fixed rod, to the new ABSOLUTE RELATIVITY OF THE FRACTAL PARADIGM, NO CENTER, NO PREVAILING SCALE, NO PREVAILING P.O.V.
The expansion of objective truths define science.
Now, this expansion of knowledge based in the reduction of Ego, is the essence of human mental evolution. First, in Abrahamic ego-centered religions believers in the west thought their tribe was chosen and their valley the only promised land. Next they expanded its ‘ego’, in this case from the tribe to the subconscious collective or ‘social God’ of humans. Yet still they thought the ego of humans was of cosmic proportions, as the game of creation of the Universe (god) cared for them. Next physicists came and found lineal clocks and since ‘God was the seer of time’ (Saint Augustine), now physicists were in tune with him. So Kepler said that ‘god had waited 5000 (biblical) years to find an intelligence like his to understand his clock work’ making his mind equal to the creator of ‘lineal time and the whole Universe.’
So those are the steps of pre-scientific knowledge:
1) each western tribe decided that his valley was the promised land, his tribe was ‘God’ who spoke of the supremacism of his people over all other humans and then:
2) Physicists understood the infinite, reaching a paroxysm of ego-centered infinitesimal beliefs that would be ridiculous and laughable if it were not tragic for the non-future of mankind – as we are killing the planet and making ever more powerful weapons of lineal entropy to kill each other till the infinitesimal becomes zero.
And this was paralleled with serious scientists who did an enormous work of objective science, without subjective ego-trips, accumulating enough information in all the scales of the Universe, its systems and fractal structures to the point that we can now be completely objective (-; and realise we are nothing but dust of space-time ):
The whole range of biological, organic, temporal and spatial=mathematical properties of fractal entities.
Now it is essential to include as we shall see in the fractal paradigm the distortions of the different mirrors and ego-trips and lack of total information of a given point of view in science. They will keep coming for all sciences, as to be an ego is ultimately to be a fractal point, a knot of time-space cycles deforming reality to your point of view. And of course, the concept of a single, absolute space measured with our rods of space – meters and time clocks – mechanical seconds, is the first deformation.
Since we humans do NOT see REALITY as it IS, a fractal tapestry of infinite vital spaces, put together into an absolute space only in the mind of men; and a tapestry of infinite different clocks of nature, put together artificially into a single mechanical clock, by human beings.
And the second is to deny with reductionist mathematics, organic, biological, causal, aperceptive properties to each monad of the Universe, to each point and each scale.
Now what is reality should have become obvious at this stage, if any of the finitesimal points of view, self-centred in their ego called humans have had the patience to arrive here. But we shall repeat it, in the initial definition we made of ‘All what exists’:
“The Universe is the sum of all the symmetric, ternary super organisms (spatial synchronous view) performing a world cycle of 3 ages between generation and extinction (diachronic point of view), as they travels through 3 relative planes of the 5th dimension, growing in size and diminishing in a balanced, Sp x Tƒ= ∆±1 survival form, performing from its centred point of view, the 5 space-time actions of absorption and emission of energy and information, (active meaning of space and time), ±∆e,i,∫u, which ensures their survival.”
In this definition, where we can introduce everything, the classic analysis of locomotions in lineal time of physics is just a little letter at the end of it, ±∆e, that is the study of energetic motions, locomotions and its internal and external storage.
So much for those who think physics explains it all and it is the fundamental science of mankind.
Let us then return to philosophy of science and summarize all those findings into…
The fractal, isomorphic, linguistic method of scientific knowledge.
The Universe speaks ‘infinite languages’ (Upanishads) NOT only mathematics. And each of its fractal elements, made to the image and likeness of the whole, have the following minimal properties, which I called the isomorphisms of the Universe:
- A Œ linguistic, mental point of maximal information (C.P.U., quark, crystal, brain, roots, black hole and so on), which constantly switched between the 4 states of space, time, energy and information, the 4+û actions developing the game; whose equations were crystal clear in quantum (4 numbers), Electromagnetism (3+color dimension), Electricity (4 Maxwell equations), and easy to deduce in Mechanics (i.e. Hamiltonians describe its 3 time ages, 4 vector equations, etc.)
- A topological, Organic, Synchronous, ternary structure in space Sp<ST>Tƒ, of limbs/fields<bodies/waves>heads/particles.
- And its asymmetric, Diachronic, causal order in time, Sp (Past, entropic youth)> SP, Present Adult reproduction > Tƒ, Future, Formal, Old age of information; from where topological laws of development and evolution and the ages and horizons and diversification of species could be obtained.
- An organic structure in the 5 Dimension of ∆-1, ∆, ∆+1, quantum/cellular, individual, Thermodynamic and Gravitomagnetic, ecosystemic Planes.
- A survival, active program of existence through ∂a,e,i,œ,û to regain ±∆e, i and evolve socially into bigger wholes.
Now each science does have its own jargon, and ‘choice’ of characteristics it prefers to describe from its elements of study, under the ego-paradox that makes each point of view to create a ‘particular world’ that distorts the ‘whole Universe’ into its perceived linguistic mind, with itself at the center and only relevant point of view.
We have in that sense criticize physicists from their description of physical reality ONLY from a mathematical, spatial, point of view, and ONLY describing of the 6 motions of reality, its Locomotion, making a confusing distorted vision of what time is in lineal terms and space is in continuous terms, ignoring completely the laws of the 5th dimension.
But we have generalized the concept to the quantum and Antiquantum paradoxes for all physical and social sciences, in which either the observer is too small (social scientist) or too big (physicist), to relate objectively to the observable (which in social sciences is so big that is guilty to deform the sociologists to cater its view, and in physics is so small than the physicist is guilty to distort it.)
And for that reason only biological sciences do have a proper point of view. But even in biology the cultural influence of social sciences is all too evident, as ‘the concept of chaos and entropy’, from physics and ‘Darwinian, capitalist, self-made man individualism’ sips in.
So it is taboo to talk of the fundamental law of social evolution which is social love of members of the species to become larger beings, which is epitomized in the most successful species on Earth, the Argentinean Ant which has excluded from the pampa all other top predators of larger size, and now is colonizing as we speak, under my foot South Europe, becoming the largest, most numerous species (1/4 of all the flesh living in this planet is ant, another ¼ humans, the 2 social species).
And on the other hand the concept of chaos and entropy has prevented to understand the topological plan of evolution, controlled by the fact that we are made only of space and time, and its similar ‘active’ concepts of kinetic energy and information.
So the explanation of why wings are planes of space and eyes spheres of time… and have evolved so fast, is ignored. The reason though is obvious in T.Œ, a system to survive has only 3 paths, maximal Tƒ in its spherical organs of information, maximal Sp, in its planar organs of kinetic motion and maximal reproduction, improving its networks of communication, either individual or social. And so this implies with the limiting existence of only 3 topologies in the Universe, that those 3 natural paths can evolve very fast, as genetics do work also in ternary symmetries that code those forms.
Further on from physics, biologists have acquired the idea that all comes from the bottom up, so they do not understand the duality of hyperbolic information vs. elliptic motion, which makes also the upper wholes program through larger fields of motion and form, entropy and information, space and time, kinetic and potential energy, lineal and angular momentum variations (all concepts self-similar of the fundamental duality of the Universe, which apply to different systems), its smaller parts. The most obvious case is the relationship between glaciation ages of maximal evolution of information (as cold temperatures imply form) and hot periods of maximal reproduction, (radiations of species) and the whole structure of evolution of the Earth in III earths and 3 x 3 + 1 sub-phases.
And so for each species and ‘scale’ studied by a science, we needed to extract mental, topological, causal-logic, and organic-survival properties, which were different linguistic, isomorphic angles on the perception of the being, none of them carrying the whole truth of the being, but as the famous elephant parable, seeing only a part of it.
III. ¬Æ: EXISTENTIAL ALGEBRA.
Its Fractal Generator, Povs & 10 ISOMORPHISMS
In the simplest description of the Universe, we can talk of the use of existential algebra, which studies in detail the space-time actions of all points of view that first gauge information, create a still mapping of the Universe, and then try to imprint a territorial field of energy with the perceived form, enacting its imagination, as an act of survival of its self, which becomes the body of its organism, which will through a series of isomorphic actions of absorption of energy and information, trace a world cycle, step by step of present repetition of its wave-body actions and informative perception, e>i, on its field-particle state, till finally it becomes so unbalanced, as the wave is present but the particle-field male state is E>I integrative and diminish the energy of the system, hence defining an overall arrow:
Female Present-wave-body state: S=T + Past>Future, field>particle male state = ∆I: Life arrow + Death arrow: Big bang, I<E (Particle dissolves in field)=0
It is this world cycle of existence that develops in 3 phases the Max. E x Max. I function, (Max. Youth, Max. I: 3rd age> Max. E xI (E=i) adult state), what we see developing around the Universe, in the 3 ages of life, 3 forms of space, female/male dualities, waves and particle-fields, 3 arrows of time, 3 organs of space.
THE FUNCTION OF EXISTENCE IS THE ULTIMATE KNOTS AND BOLTS OF THE UNIVERSE, ITS STUDY BY EXISTENTIAL ALGEBRA THE HIGHEST FORMALISM OF STIENCES. Alll what we do all beings is really performing parts and wholes of those functions, its cycles and derivative actions.
Philosophy of Science & fractal organic paradigm vs. Linear mathematical Physics & continuous paradigm.
THIS BLOG compares 2 different worldviews, which have always fought for supremacy in Science and take sides with:
– The larger, all encompassing view of philosophers of science – larger in time, as it can be dated to the first Mathematicians, Pythagoras and Plato and the first Logicians, Aristotle, in the western ‘decoupling of history, and to their counterparts in the East, the Taoists, WengWang and Lao, and the Hindi and Buddhist philosophers – and larger in space, as it aims to explain ‘all’ knowledge of Humanity’, that is not only the experimental facts of all species, and all languages of knowledge– the mathematical languages of space, the temporal verbal languages, but also the human perceiver himself and its senses and artistic forms derived from them Vs.
– The reductionist view of the physicist, which only considers a restricted part of reality – physical systems, only accepts a language of description, mathematics, only defines a form of motion in time, external translation in space, and yet surprisingly enough pretends with those very limited ‘parts’ of reality to have a Theory Of Everything that makes sense of all what exists. And what is more surprising, it has achieved global recognition as the ‘high popes of science’, excluding the work of philosophers of science from the search of ultimate knowledge.
This is largely the product, not of the achievements and merits of physical theories in the explanation of reality but of its praxis – the construction of machines and weapons, which are the ultimate source of power of our technological civilization.
But the confusion of technology with science and knowledge, is of course a falsehood, which carries a heavy toll for our understanding of reality. It first eliminates all internal elements of knowledge, the mind, and its languages.
And then it eliminates the unity of all systems of the Universe, which share the same properties of cyclical times, vital spaces and points of view that organise them.
Yet as physicists reduced all motions to external motions, keeping only for life organic properties, and reduced all clocks to a mechanical lineal clock, they lost all connection with those common properties, and of course make impossible the true goal of the philosopher of science, to find those common laws that allow the Unification of all sciences.
Yet to fully grasp this reductionism it was needed a historic introduction to realise of the daring consequences of the physical way of ‘constructing’ our world of thought.
But of course our capacity to make machines and measure them and put clocks on them, today converted into computers increased. So paradoxically as we forgot the clocks of nature, we grew in our dexterity to make machines to measure nature.
So what are the real clocks of time of Nature?
This requires us to define time in more precise terms, as cyclical motions that carry the information of the Universe in the form and motion of its cycles.
Indeed we measure and process information through computers, which are the modern version of time clocks, now converted into repetitive logic cycles called algorithms, whose frequency or relative time speed defines the capacity of a system to process information. So a computer process more information when its clock like logic cycles have more Hertzs, more frequency.
This means that in nature there are several species of time-clocks – processes that measure frequencies of vibration, of which the most obvious ones are 3: the frequency of waves; the temperature of molecules and the angular speed and orbital motion of all time of particles, including the planets of those graphs.
So frequency, Temperature and Speed are the 3 main time clocks of nature, and they do vary its relative speed, as Einstein would find, and they carry information in the form of its motions, and the frequency of its cycles. And so time is a much more interesting process to study than the mechanical steady tic of clocks.
Now I’m trying to be fast and simple to get to the core matter, black holes and entropy, but the reader with a minimum knowledge of science will realize how different is a non –anthropocentric, mechanocentric view of time, and how much rich in meaning is. We are here in a short of Copernican revolution, sorely needed, from the perspective of philosophy of science, which is concerned with ‘language, experience, pure science, NOT with machines of measure’ as physicists are. So I do have zero bias, in my direct experience of the Universe.
Time is closely related to space – this we know since Einstein, and so we need to define now space, to advance in our enquire.
The Fractal Universe: the slow path of knowledge towards its comprehension.
The fractal paradigm is a complete vision of reality, which has been hinted at since:
-Plato (Myth of the cave, in which a perfect canon breaks into infinite self similar forms) and Pythagoras (numbers as social networks of points, of which the tetraktys or 10 triangle was the most perfect form, unit of a larger social group, as it is indeed the case, being societies of 10 the essential fractal structure in the growth of the 5th dimension)…
-Through Leibniz (concept of beings as made of relational space and time, that is an entity and its vital or Universal constants in its steady state of equilibrium is just a variation of Sp x Tƒ = ∆), Darwin (selection of species with the strongest, largest vital space, Sp and highest, more efficient informative brains Tƒ: Max. Sp x Tƒ = Top Predator existential force) and in modern physics…
-By quantum theorists (understanding of space as made of quanta, called H-Planck), and Relativity (understanding of a Universe made of infinite clock of times, with different speeds relative to each other); the work of giving a proper philosophy of science, to the last of those discoveries (the fractal structure of the Universe in scales of self-similar form), its proper philosophical explanation was long overdue.
And so I introduced to the annual world congress of systems sciences and cybernetics, around 2006, this model and now a decade latter, I am trying to write a series of posts in a couple of webs, with the basic structure of the fractal Universe and its laws of time clocks and space quanta. I find the web, with its hyperlink, somehow also fractal structure, the proper network to do so. Most of it will then be poured in a site I bought long ago for that purpose – unification theory.com. As the fractal philosophy of the Universe is indeed the only approach to science that can truly unify all of them, each one studying a scale of the fractal Universe.
The task of updating our view of the Universe to the new paradigm of science after 2000 years of explaining it with what we could call in terms of logic and mathematics, the disciplines that underline all sciences, the Æ-paradigm, based in a continuous, flat Euclidean Space Geometry and a single Aristotelian arrow or clock of time, is indeed daunting by its sheer scope, so I only pretend to show in those posts the first steps of this road. And since my health is failing, I am not wasting energy, trying to focus the mirrors of individual scholars in penpal congresses. So those blogs will be the place where the new paradigm and its formalism ‘so far exists’, and the seminal origin of its future reproduction of its information. Or as Planck put it:
“New scientific ideas never spring from a communal body, however organized, but rather from the head of an individually inspired researcher who struggles with his problems in lonely thought and unites all his thought on one single point which is his whole world for the moment.”
This again is obviously part of the fractal structure of mind-mirrors, which reflect the Universe and then project its image into other mirrors, who ultimately cannot be obliged to absorb the image, and will do so only if they have already the seeds of ‘reason, beauty, and objective attitude towards knowledge’ required for a mirror to be repolished.
Regarding space it seems obvious again that humans have deformed it with its instruments of measure. We use a Cartesian infinite abstract paper graph to draw space. And so we decided that space was continuum as the paper and infinite. But reality around us – follow Leonardo’s method ‘saper vedere’, not your books – shows that space is not a continuum. Look around you and you will see an infinity of small, broken parts of space. Your vital space-body, the chair you seat, the computer you read, are different ‘pieces of space’, ‘fractal space’.
Thus in the same manner there are infinite time frequencies and time cycles in nature – though we have found 3 parameters to measure them, frequency, speed and temperature, there are a lot of different ‘quanta of space’ around us, which we shall soon define, but we advance you one of them is that magic word, nobody knows in physics what it is: ENTROPY!
But for you to grasp this, I will have to keep explaining the foundations of that fractal structure of space and time, long proved experimentally, and formalized with the metric equations of physics, in a more mathematical way. Don’t worry we will keep it simple, because as we said, the advantage on working with the proper time clocks, as in the case of the proper ‘heliocentric theory’ is that all becomes really much more simple. So Copernicus was much ore simple than Ptolemy.
Now in physics all is about Spatial, Lineal Motions (Lineal Momentum, which is similar to our spatial quanta) and angular Momentum, which is the minimal bit of our Temporal, cyclical clocks of Information.
So alas!, we have an immediate translation of the 2 ‘formal motions’ of which all is made; spatial, lineal quanta and angular, cyclical, informative cocks of time.
And this quanta of spaces of lineal momentum and cycles of times, angular momentum are the 2 formal motions conserved in reality.
But Physicists ‘integrate’ those concepts in the concept of Energy, which they divide into Kinetic energy (related to lineal momentum) and Potential Energy (related to the internal, angular momentum and form-position of the system)
As those are historic concepts, born of praxis – as all in physics, they are not ‘scientifically’ as wide as precise, as the concepts of space quanta and cyclical time clocks – the concepts of fractal time and space. Since physical concepts drag the mechanist errors and historic professions of physicists– as theory is always as secondary element to the worldly profession of physicists – to make machines, weapons and measure reality wit them.
But they are good enough, and by trial and error very slowly physicists have given us a lot of good mathematical stuff to define reality, so with a bit of ‘conceptual cleansing’, and repositioning we can easily get into a much richer and beautiful understanding of reality.
But the consequence of NOT HAVING THE PROPER UNDERSTANDING OF TIME MOTIONS is that people no longer give a damn about understanding true time, the world cycle of life and death and any other time cycle, and we the people who truly understand time are a menace to the simpletons. They do have a problem with philosophers of science, but they have power. So our reasons matter not.
Yet when Kepler found the laws of locomotion of stars he affirmed, ‘God has waited 5000 biblical years to find an intelligence like his to understand his clockwork’. So for Kepler all knowledge was to know, F=ma.
The need for a more complex view of physics, beyond the simplex entropy arrow.
Humans are an arrogant species with an egocentric point of view. Since I presume I talk to a human, if this affirmation offends you, leave the blog now, because it will get worse, as knowledge, science is in the inverse objective function of human subjectivity. In brief, humans do not have a ‘scientific mind’, even those who think they do. In fact, ‘scientists’ are the most difficult egos to convert into objective rational thought, because they think they are already there, and they understand it all. And yet human science is like a toddler, who has learned the first words of the language, which it reveres – the kid thinks the language has extraordinary powers to create reality as the first humans thought God created by speaking words, and the first scientists by speaking numbers. It should not be discouraging. After all we learned the first steps of science 2300 years ago with the arrival of Aristotelian Logic, and started to have instruments of measure, reliable to observe the Universe only 400 years ago with the experiments of Galileo, with mechanical clocks and telescopes. And we learned that space is made of quantum of energy and time has infinite clocks with different speeds only 100 years ago, with the arrival of quantum theory and relativity.
Those were the first doodles in the sand. But humans once they make a new doodle think the picture is complete. They step backwards, observe the doodle and spend one hundred years more commenting on how enormous was the arstist, how perfect the doodle, mirror of the Universe, even if its nothing but a doodle.
And so was human knowledge after Einstein and Planck made their doodles, slightly better than those of Galileo, halted for one hundred years. It remained a lot to be done for the doodle to look like a good image of the Universe.
As to understand the whole Universe, we had to put together all the sciences, species and laws of Nature, into that single mirror-image. And the doodle of physicists was too simplex to do that. Now we have a doodle that looks a bit more like an image, and it is a beautiful one.
Of all the scientists that make doodles in the sands, the largest doodle is that of physicists. It is not a very complex doodle, but rather a simple line, very long indeed, the longer the faster the transport or weapon they design reaches. They also do doodles of the whole Universe, very big doodles, very simple, because 96% of the Universe is dark matter and energy they don’t see or understand what it is. But because the doodle is so huge, it impresses a lot the human observers, who think so well of themselves and respect enormously the doodles of physicists. The problem with those doodles however is that they are very simple and so they do not reflect well the Universe. To avoid criticism though the physicist merely affirm that all what is not part of his doodle is not scientific or relevant to the drawing. And this is the case of information, the second arrow of future time in the Universe, which has more ‘form’ than the line of motion or entropy physicists study. So they are not at ease with the guys who draw forms of pure information, and pretend they must be included into the doodle. They call in fact information, negantropy, an obscenity that seems to deny their doodle.
And so when physicists came to power with its mechanisms, they decreed that all humans must worship energy and believe in the lineal doodle as a representation of it all.
Such was the state of affairs on sciences at the eve of a new millennium in which sciences of information had become dominant in all systems, due to the logarithmic evolution of integrated logic circuits (chips) applied to the processing of all forms of data. And the scalar nature of reality had found a mathematical model in the concept of self-similar fractals. Yet the doodle remains the entropic line of physicists and do not dare to deny it – you would be tagged as a negantropic scientist, whatever that means.
Indeed, despite that growing awareness of information as the key element in all systems, a formalism which included it as a primary element of reality was lacking for a simple reason: a 400 years tradition of using the simpler principle of conservation of energy and all its related analysis dating back to Galileo, to the point that information became known as negantropy, the negation of entropy among physicists who shied away from a complete overhauling of philosophy of sciences as we shall do in this blog, where we will consider by the correspondence principle, simplex physics, a ceteris paribus analysis of the Universe, with a single arrow of relative future, of the 2 arrows which constantly give all systems a choice in the path the system chooses to advance time, either increasing its energy or its information, whose properties we shall show are inverse.
In the graph, few scientists are aware of the idealist, Hegelian bias of German culture a century ago, which still permeates the loss of interest for the foundations of the scientific method in mathematical physics today. Thus we shall remember here the foundations of the scientific method…
Search for truth through experimental evidence, and logic sound models of reality with the addition of the elements of an organic model of the Universe. In the graph, two german idealists, during the panic of the ‘parallels’, which seized in rapture the entire world of mathematical physics after the greatest minds of the age could not solve, where to fit, the ‘multiple new geometries of the Universe, unlocalised in space and time. Unaware of the rather obvious 5th dimensional structure of those geometries, the panic extended from Gauss and Riemann, as propagators of Lobacjevski and soon brought to mathematical physics, the confusing notions of an idealist school of geometry where ‘by decree of Hilbert’, we human minds invent points, lines and cycles which are not defined.
By this the mathematicians separated itself against the clear argument of Lobachevski that affirmed, since a geometry is measured by those real parameters, the Tƒ/Sp, ration of time to space perception of the being (r2/l2), geometries will be defined by analysis of the real spaces of the different scientific realities we research.
Now we repeat, because today is not for mathematicians and physicists, evident:
‘Science is only concerned with the facts and events known and experimentally proved.’
This is a key element to understand what is ‘wrong’ with modern physics – the abandonment of the fundamental pillar of the scientific method – mathematical equations are NOT enough to define the existence of a process in time and space, if it is NOT observed.
This is ‘a religious belief’, which started in the earlier XX century, within the milieu of idealist Germanic philosophy (Hegel, Hilbert, who said he ‘imagines points, lines and planes’, etc.). It gave us idealist political systems (communism, Marxism) and what I call ‘fanta-physics’ today in a rage with computer models that seem so ‘truth’, but are mathematical fantasies. We do need a NON-DEIST philosophy of science, and only organicism is a self-reproductive, self-sustained model – mechanical models do NOT respond to the whys of reality and require AN EXTERNAL GOD to make the machine (reason why Newton adopted it as a pious believer).
Thus what TŒ provides to physics is an organic guidance to interpret the known facts, and what the scientific model expects is to construct the universe, with the particles we know in the ∆-1 scale, ∆ and ∆+1, particle, cosmic bodies and galactic scales.
I repeat this is NOT what physicists do. They still model black holes without caring to find a substance of which they are made, just mathematically. They model the cosmic big bang, grossly ignoring clear theoretical and empirical contradictions, and they simply deny, as mathematical models become more complex, any ‘organic property’ to the Universe. They do NOT even inquire ‘why’, it behaves as it does.
Now of course, T.Œ – the organic, fractal model of the Universe and all its parts, should include by the principle of correspondence also ALL mathematical physics, which are consistent with experience.
And in this field, limited obviously by the work of a single polymath, there is still much work to do. But so far consistency in all those mathematical fields T.Œ has been tested is extremely high.
Physicists and scientists do work with the more complex reality but the underlying philosophy of science is stuck on this postulates, making all very Ptolemaic, and confuse. One of the tasks of TŒ is stopping the confusion with a simple methodology and a series of basic postulates about the nature of the organic, fractal Universe. So people can drop all those ‘postulates that so often hang up’ on their work and break it down to nonsense.
Consider for example the electron, which is OBVIOUSLY a fractal nebulae when in ST(st)ential wave state. This is taboo. Because when we measure it, the electron collapses into particle, as always waves and herds do organically when confronting a mass (schools, armies in battle formation etc.). And because we do have the continuum mantra. Now this brought about many problems ALSO in the entire field besides the quantum arguments wave or particle, Buridan ass kind of loss of time.
Legend: The Buridan ass died of hunger, because it could not decide which to eat of to equal bales of straw, left and right. Answer both. Do the experiment, the ass will eat first one and then the other, or eat a bit of each till ending both. Wave & particle, body & head. The organic paradigm is immediate. Do you have a body or a head, are you a body or a head. BOTH!
Now what I am going to say will be of course the reason why most ‘believers’ will abandon this web: physicists have no idea on the foundational laws of their discipline, because they have no idea of the nature of time, and have an astounding bias AGAINST cycles, in all its forms – cyclical geometry of space-time, the true reason of attraction between particles (which first Newton and then Einstein clearly explained, and yet they are STILL trying to explain attraction with gauge theories of exchanges of lineal particles), cyclical time clocks with different speeds, which follow albeit with accelerations and decelerations in time, the laws of the 5th dimension (so charges are the clocks of the quantum scale, masses of the gravitational larger cosmological scale, ‘time curves space into masses’, said Einstein) and yet they ARE still trying to unify both forces with ‘gauge theories’, when we shall show its Unification is immediate with 5D metric.
You see, I look at the immensity of the 5th dimension and see I am nothing but dust of space-time, with a finite time duration. I see mankind is ‘a mush on the surface of a rock lost on the corner of the Universe’ (Schopenhauer) ‘departing from those facts we can talk about man’. Yes, we cannot know the limits of the Universe, we cannot affirm the big-bang theory is right, we cannot deny the infinite number of points of view, monads that perceive and order reality, we cannot deny as physicists do the organic properties of quantum systems which are body-waves and head-particles at the same time, that move as waves and apperceive information as particles, just because as economists do with human masses, we can use statistical methods to analyze them.
This comes now and here for a simple reason. There are certain endemic errors in the way to do mathematical physics today. One of them is linearization.
It is understood as a ‘dogma’ that attraction between systems do happen by exchange of particles, called gauge ‘bosons’. This is NOT the case. It is ONLY the case of attraction or repulsion, i.e. communication between 2 points, according to the second Non-æ postulate of mathematics. It is in that sense important to have always in mind the geometry of the Universe and its worlds constructed with the properly defined points, lines, cycles and planes, and minds with the 5 postulates of i-logic geometry, which define and how they structure any mathematical physics in any scale.
Unfortunately physics today does no longer respect those principles of the Scientific method and or without a complex view of time and space, the dualities and fractal processes of creation of the constants of space-time and planes of the 5th dimension.. This must be stressed once and again. Present physics has an ideology of subjective creationism behind it, born of the German Idealist school at the beginning of the XX century (Hilbert, Bohr, Heisenberg), which is today unknown – as most ‘European’, historic biases of sciences – by the American and Asian practitioners.
The ‘new civilizations’ ignoring how German Subjective philosophy deformed the scientific method defined by the Rational Greek-Latin civilization (Aristotle, Descartes, Bacon, Galileo), don’t understand what Hegelian idealism meant in the German arrogant, subconscious collective of the turn of the century that created Communism (Marx), Nazism (Hitler, Rosenberg), the Copenhagen interpretation (Bohr, Bohm, Heisenberg) and the Axiomatic Method (Hilbert, Cantor), which resumes it all:
‘I imagine lines, points and planes’ said Hilbert in ‘Grundlagen der Mathematik’ – the foundational book of XX c. Mathematical physics. Hilbert Axiomatic method, which tried to prove all mathematics, and hence all possible mathematical equations of ‘imaginary physics’, departed of two absolutely wrong elements: ‘imagined Euclidean points with no breath, lines with no breath, planes with no height’, which were already proved false by the existence of ‘infinite parallels crossing a point’ (5 non-Euclidean postulate). Since if a point lets more than a parallel to cross, it has breadth to fit them. It is a fractal point, which grows in size as we come closer to it and enlarge it. This is the REAL unit of the fractal Universe. Points ARE not imagined, but humans do have limit of perception.
Point particles ARE not points. Simply they are the LIMIT of our perception of the Universe in the lower scales. As galaxies seemed points in the past. The 5th dimension of the scalar Universe has only observable limits.
So stars might seem points as particles do BUT if ∞ parallels can cross them, they are NOT Euclidean. Thus T.Œ first completes mathematics with 4 new Non-Euclidean postulates: pints with breath, which are therefore time-space cycles, the new unit of the universe: a system which has an internal vital energy enclosed by a cyclical ‘1-sphere’. And lines are waves, as its points do have volume and surface. And planes are ‘networks of lines’, with a wave amplitude. Suddenly mathematics becomes real and we can then consider godel’s incompleteness theory right: we cannot prove mathematics, an ‘experimental’ language, without reference to the real elements.
Since physics is basically mathematics applied to the description of physical systems, with elimination of all other perspectives, it is obvious that we must first consider some basic corrections on the mathematical models of physics in order to put some order to it.
This is specially relevant since physicists adopted a century ago a specific ‘ideology’ of mathematics, the abstract, idealist approach of Hegelian Germany, in which the influence of the idealism and subjectivism proper of the Germanic ‘subjective belief-psyche’, as opposed to the rational, external Latin perspective imposed a certain way to interpret mathematical realities. Since in this view, mathematics is considered an ideal language of the human mind and what the mind perceives as real.
2 examples on what difference it makes, to see the world in abstract or in organic terms.
It was the axiomatic method of Hilbert, is full of meaningless ego-trips, which influenced the 3rd, formal age of mathematics; Einstein’s rejection of ‘substance’ (formal motion in fact) for the waves of light, and Bohr’s rejection of density (fractal structure) for electrons. So Hilbert converted mathematical elements (points, lines and planes and their logic relationships into ‘platonic eidos=forms of the mind’, Einstein converted ‘space’ into ‘frames of reference’, perspectives of the human mind and its visual light space-time rod of measure, and Bohr converted densities of ‘boson light’ which form the electronic wave into probabilities of human measure.
It was the seventh day and the 3 Jewish-German Gods of XX century theoretical science rested. They had finally achieved the transformation of the old Abrahamic religions in which the words uttered by rabbis and priests were ‘truth per se’, into modern scientific religions, in which the ‘imagination’ of the self-named geniuses of the universe were truth per se. And so Einstein when a perhaps more insightful journalist told him, what if ‘Relativity is not truth’ (beyond its capacity to measure form the human point of view), then ‘God should change the Universe so beautiful it is’. And the 3 together spanked the monkey ever since with droves of scholars all happy thinking they were imagining the Universe.
Now back to reality mathematics remained immutable, points still existed as fractal beings, lines were still waves of points communicating formal motions between them and planes still were created by points into topological networks and planes outside the brain of Hilbert.
For example, a number which is ‘a society of identical beings’, whose properties are derived of the social nature of the 5D universe of parts and wholes, and whose sequential order in a line derives of the fact that parts come before wholes, is not yet defined.
In essence, the 3 branches of mathematics correspond to the 3 structural elements of T.Œ: geometry to space, algebra to time and analysis to the fractal structure of the 5th dimension. We only need to update mathematics for consistency between the 5th Non-Euclidean postulate of geometry and the 4 remaining ones, still Euclidean, and the Aristotelian logic of Algebra, to the ternary symmetries of fractal 5D space-time to make mathematics a ‘realist’ experimental science.
This might surprise the reader, and it is perhaps the highest feat of T.Œ – to be able to unify all different languages of human thought, proper of each discipline. Consistency achieved in art styles, when developing the theory of human superorganisms, might surprise the reader, is based in the same 3 ages of time, that allow us to define the laws of quark colors. And yet, this unity of the ternary symmetries of the Universe makes T.Œ so enticing to the mind.
However and this also differentiates deeply T.Œ and General Systems Sciences or any ‘serious’ scientific model of reality for that matter with present physics, T.Œ considers ‘ABOVE’ mathematical reason, Experimental Evidence and at the same rank of truth Logic temporal reason (of a kind paraphrasing Saint Augustine, higher than that of ‘present’ man), the ternary logic of the symmetries between the 3 topologies of space and the 3 ages of time and the 3 relative scales of size co-existing in all organic structures of the Universe.
Thus given the confused state of affairs in the definition of fundamental concepts such as time (logic), space (dimensions) etc. in modern physics, we need to consider the seemingly not so innovative principles of the scientific method with the slight modifications of an organic, symmetric ternary Universe. We resume the new scientific method in our simple formula, T.Œ=SC³ with each letter signaling a fundamental principle of truth in science:
T: Time-space systems are:
Œ: Organic, Experimentally Evident.
…meaning Time-space systems do have organic properties, which can be explained mathematically and logically with the languages of space and time, and proved experimentally.
And since they are made of 3 simple elements, 5D scales of Space and Time they are:
S, Simplex and their truths follow the proof of simplicity (Ockham’s razor)… yet they are also ternary..
C³ Complex, due to the ternary symmetries of its structure ternary complexity born of the…
Cyclical repetition of those Simplex principles which…
Correspond with all previous theories of reality.
Thus T.Œ=SC³ resumes the Principles of Science and the Organic paradigm, are however broken in present science, specially by mathematical physics, which no longer respects the 3 principles of classic philosophy of science: experimental proof, Simplicity (Occam’s razor) and Correspondence with previous theories. And this is the ‘problem of modern physics.
Now once we have brought Mathematics back to reality from the axiomatic age of German idealism, we can build a much sounder mathematical conceptualization of the key concepts of mathematical physics, dimensions of space-time with motion (topological fractal dimension), lines≈waves and its ternary networks that come together forming super organisms, relative planes=topological networks with dark spaces between them, dual moving and static formal motions, integrals and derivatives in space and time of those social networks, and emergence processes of time clocks and lineal entropies.
This shows a fundamental truth of T.Œ: reality, experimental evidence is always the definitive element to analyze truth. Hence the rejection of the axiomatic method of mathematics, in the line of Lobachevski and Gödel, and the present estate of fantaphysics, in the line of Einstein’s expectation for real descriptions, cut-off substances for black holes (tcb quarks, its atoms of maximal density) he refused to call black holes and called appropriately frozen stars; the only physicist we ‘save’ from our harsh judgment on their merits as explorers of the why of the Universe
Now we want to be slightly more precise to attack a fundamental conundrum which matters to this blog – the structure of the Universe and the risks imposed by the big bang on Earth. What are the chances that the planet become a black hole or a strangelet? Are we at risk? It is the Universe made of them? Are we so important that we cannot disappear?
To that aim we must first consider what is possible in physics and what is not according to the scientific method.
Now, the fundamental conclusion of the scientific method regarding to astrophysics is obvious but only Einstein pound on it – as he was the only physicist we save as philosophers of science, for respecting the scientific method of true evidence, and simplicity:
‘Physicists should not be occupied with the study of events or species of which there is NOT experimental evidence. Since it is not science’.
And ‘I know when mathematics are truth but NOT when they are real’.
In brief, a physicist must use only the available particles and entities to construct the universe, not those which its mathematical, inflationary distorted linguistic mind view wants to crate for the pleasure of it. Information, minds are inflationary. They are a dime a dozen billion, to put it mildly but worlds of linguistic nature are not reality.
So we will build in Tœ, the Universe perfectly logically explaining al phenomena only with the available particles and forms, and the ternary symmetries of the 5th dimension, fractal space and cyclical time.
As a galaxy is also a ternary system, a time-space being, defined by the Fundamental Equation of T.Œ
The ISOMORPHIC method of study of ‘∆ST’ species.
Now the method of study of T.Œ is simple: as all systems are variations of the ∆ST fractal space-time reality of which we are all made, reflected on the Fractal Generator:
And its symmetries in space (Spe), time (Tiƒ), and 5D (∆±1), its ternary elements in each of those symmetries and combined event among elements which perform space-time actions to become parts of larger wholes. From the fractal generator, then, we can extract a series of fundamental laws, isomorphic to all species, which we group in 10 series of isomorphisms, causally related to each other, as elements of larger ‘understanding’ of the Fractal Generator:
In the graph a resume of the main isomorphic laws of the Universe derived of its ∆ST structure, which defines the fundamental isomorphisms that all species made of ∆Space-time cyclical actions share.
The Universe is a fractal of super organisms tracing world cycles of existence, as they travel through the 5th dimension.
The Goal of ∆ ST.œ is to fully describe all the properties of the different species of the Universe, each one self-centred in a scale of relative size and time speed of the 5th dimension, with the 10 isomorphisms (equal sets of laws) deduced from the general properties of scalar space and time that define the similar forms, events and actions of all the entities that exist.
In brief we unify all systems of reality, because all of them are made of fractal space, cyclical time and its ∆±n co-existing 5D Planes of Non-Æ fractal points, whose structure responds to a clear super organic form in space, and perform the same Worldcycle of existence between birth and extinction.
Thus the methodology of ∆ST is simple. We study the Scalar Space-Time actions and worldcycles of all superorganisms, through its fractal Generator equation that ‘establishes’ those elements common to all space-time fractals, particularized for each species. Because we can deduce from the Fractal Generator, 10 fundamental spatial organic parts, time events, social scales, centered in a O-point or relative mind/frame of reference, for each of those superorganisms tracing a worldcycle of existence, it is useful to divide the study of those superorganisms in 10 isomorphic elements, deduced from the ∆ST fractal structure of all those systems.
Thus in this 4th line we study the main species of the known-known scales of the 5th dimension considering for each of them its ∆ST structure , Generator Equation and 10 isomorphisms.
Now, the ego paradox of humans will likely reject this reality, as part of the very essence of ‘being’ in a Universe of infinite relative points of view, fractal points that perceive reality from its relative still mind, with a perspective that diminishes the information of reality the further it is in time, space or the scales of the 5th dimension. So we do not see the future, the past (far away distances in time), the far away forwards backwards and sidewards regions (distances in space) and the other scales of reality. The perception of the whole is truly small, and in the human case for reasons of pan geometry ratios, minimal in time and 5D scales, maximal still reduced in space, as we see space with fast moving light.
This explains why the fractal paradigm, being so objectively evident is not accepted.
For that reason, the model stresses equality of all beings, by objectively study all systems with 10 isomorphisms of existence.
The study of all those scalar super organisms, and its world cycles of existence is therefore the study of what we all are.
Those ‘i-somorphic’ laws derive from their common nature as ‘Scalar Space-time beings’ made of:
The same ‘3 topological finite dimensions of space’ that configure its ‘3 organic parts’ As all systems have lineal fields/limbs of energy; and spherical heads/particles of information that combine in their toroid bodies/waves that iterate the system).
The same ages of time, dominated sequentially by those topologies: an energetic youth, a reproductive maturity and an informative old age that define the finite duration of its life-death worldcycle.
And the same ‘scalar planes’ of organic existence, divided into, the closer 3 ∆±1 scales:
– The ∆-1 existential cellular/atomic plane, the ∆-individual plane and the ∆+1 social, gravitational plane (physical/biological sytems).
– And the larger ‘ecosystemic’ scales, with whom the ∆ST being inter-acts to get its energy, information and force (its ∆±2 world and energy quanta, its ∆±3 micro and macrocosms and its information bits and its ∆±4 Universe and its motion forces).
And so as a result of that common structure of all beings, we can consider anything that exists a variety of fractal scalar space-time; part of an infinite isomorphic reality defined formally by a ‘Fractal Generator equation’ written with the symbols of those 3S≈3 T x 3∆ dimensional planes of space-time. Which in its simplest generic form would write:
Representing the 3×2 bidimensional Space-time topological organs of all species in space, Sp limbs/fields of energy, ST repetitive body/waves and Tƒ particles/heads of information, which exchange in time flows of energy, <, and information, >, or repeat them, =, through 5 type of actions, across 9≈∆o±4 planes of existence, increasing its acceleration with the help of ∆-4 forces, its ∆-3 informative bits, its ∆-2 energy quanta, its ∆-1 reproductive seeds and evolving social with ∑∆ parallel clones, to create a bigger social û+1 superorganism.
This is the Universe in a ‘nutshell’ and all its fractal parts and so we shall study in the 4th line, each main species of each scalar Stience of the Universe through its fractal generator, its dimensions of space and time, its 2-manifold topologies, ∆±4 actions and social planes, by analysing its 10 isomorphic elements, common to all those species.
The 4th line thus is a potential encyclopaedia of all the knowledge of mankind that will be widened by this writer and future researchers on ∆ST, with ever more detailed analysis, as the 10 isomorphisms are a template that can hold all the specific species, properties and laws of all the scales of the Universe. So we study in each of these 4th line post a relative scale of the 5th dimension, and then we shall be filling it with subposts, dedicated to each of the 10 sets of similar laws, which allow to fit all sub-species, events, parts, symmetries, o-points and social relationships of the ‘specific plane and science of reality’ we study. To that aim for the sake of order, we have used not the ∆o-human centered scale of the 2nd line but an order from minimal spatial size and maximal information (the scale of forces) to the Whole Cosmos, and beyond (metaphysical questions and concepts related to the God, the Mind of the Universe):
In the graph, the different science sand scales of the 5th dimension, which classify the species of all stiences with a simple metric: max. Spatial, lineal size = Min. Temporal speed of information (Spe x Tƒ = K); that is the larger beings have slower time clocks and hence less information but more energy than the smaller beings, whose clocks are faster.
Because of the immense size of human knowledge, obviously we cannot pour in our limited time all the relevant information of each science. So the choice will be objective, trying to explain the main laws and speciesof each science, but also subjective, considering those fields and species the author has researched most in the past, and are easier for him to pour in the web. And finally, we will most likely pour an enormous number of new solutions to pending questions of those sciences, thanks to the new understanding of its 3 fundamental elements, and its laws, fractal space, cyclical time and the scalar dimension, whose properties and Generator equations, will be proved ad nauseam for each science and each scale.
The 10 Isomorphisms.
Let us make a brief review of the 10 isomorphisms, before we make general review of its application to each scale studied in a post of this 4th line.
The 1st ISOMORPHISM post explains the Generator fractal feedback equation that resumes all 5D space-time knots, which can describe in its formalism all beings.
The 0 isomorphic post explains the Œ-points or minds, the relative Tƒ-heads/particles with its logic mental mapping that guide the system towards a future through the realization of ‘åctions of space-time’ that absorb energy and information for the system, and emit it reproducing the system and moving it, as they evolve socially into wholes.
It is the symmetry of space-time, as all systems have its dual elements.
The 3rd isomorphism deals with the 3 ages of Time and its antisymmetry, as those 3 parts of space dominate each sequential age of Time, in motion as Sp>TS>Tƒ.
The 4th isomorphism deals with the ∆o±4 scales perceived by a self-centered system as functions of their relative needs of energy and information, from where it absorbs its quanta of entropy=lineal motion, (∆-4), its bits of information for its mental mapping, (∆-3), its bites of energy (∆-2) and within himself, its seminal seeds for reproduction, ∆-1, and cells that support the whole (Œo), itself a cell of a larger species in time or super organism in space, ∆+1, extended in a larger world, ∆+2, part of a perceived cosmos, ∆+3, a mere fraction of the Universe, ∆+4.
The 4th isomorphism deals with those scales in terms of the 5 ±∆e,i, §10=û+1 åctions of all beings that move, feed on energy, gauge information, reproduce and evolve socially from the simplest particles to the highest systems is the Finality of the Universe, the Program of existence, the whys and to perform them, all systems do have a point-particle or head or center that gauges that information and commands a body on a field of entropic motion, an Aristotelian unmoved mind, God of its relative world.
Thus we exist and perceive fractal scales of reality because we survive through our exchanges of energy and information with its different fractal points of those scales.
Of all those scales it is obvious that the being strictly exists only in the ∆±1 closer 3 ∆-1 cellular, fractal, ∆ individual, organic and ∆+1 social scales of its parts and wholes.
They are where any super organism develops its cycles of existence, with its inverse ‘entropies’ as information is more abundant in smaller scales and flow upwards and motion-size in larger scales and flows backwards with no entropy: the cellular/atomic ∆-1 scale, the organic, thermodynamic ∆-scale and the ∆+1 gravitational, social scales (biological and physical systems)
So we have according to the åctions entities perform across planes of the 5th dimension, 6 types of fractal points the Œ-beings perceives, as each point deals with pixels of information of the lowest scale, the bites of energy, the cells which construct the system, the individual ego, the society to which it belongs and the world in which it exists.
Those 5 isomorphisms define the being in space, around its Œo mental frame of reference, in a series of nested distances in space, time and the fifth dimension.
So we shall study first all space-time systems with those 5 isomorphisms formalised as partial equations of the Generator equation: its Space organs, time ages, 5D scales and O-points that direct the systems as they embed the consciousness of the whole.
It also embodies the will to survive through those energy and information exchange across scales, which we then can study in its minimal actions of space & time.
So we can define in that close range, the 6th isomorphism of the internal and eternal Social classes of the being, which develop around its ∆-1 physiological S, ST, T networks, and energy, reproductive, working and informative, neuronal classes of its world, where the being will develop its existence. Whereas the neuronal ∆-1 and informative castes of society are on top of the reproductive, working cellular classes, on top of the energy, and lower classes it ab=uses.
There are 7 fundamental Constants or ratios between the parts of the being, the Se/Tƒ energy density of the system, its inverse, Tƒ/Se information density, the Se=Tƒ, balance that maximizes its existential ‘momentum (Se x Tƒ), which are the internal parameters; and then there are external constants that related the whole being, Œ to the external world also made of 3 Se- field of energy, Tƒ-world of informative cycles and ST- parallel elements with whom it communicates. And finally we shall find a parameter, which humans use to classify each variation as a whole with a constant (mass for particles, charge for fields, IQ for human brains, etc.)
Next we shall find the 8th isomorphism, of variations of species, based in the dualities of space and time, and the ternary elements of the Generator equation. We call it the eight isomorphism as 2³ =8 but there are several varieties of speciation. For example the gender duality of females (with reproductive, present bodies) and males (with energetic lineal bodies).
On the other hand, there are all kind of |-Energy vs. O-Mass/charge, |-O games in physical systems.
And associated games of tƒ and |s, of relative time motion and space stillness, whereas a cycle-vortex-clock of time contrary to belief does accelerate inwards and so moves faster than a expansive big bang. Indeed, there is a simple vortex law, easily deduced from the Metric of 5D: Vt x Rs =K, hence a smaller radius, Ro has faster speed, Vo; and a clock accelerates inwards, creating a clock vortex of mass or charge (this only Einstein among physicists partially understood with his principle of equivalence between acceleration and mass).
Thus we shall study all kind of differentiations of species according to the relative importance of its heads, bodies and limbs. So predator species are dominant in lineal energy; other species survive by being extremely good at reproduction and others by being more informative. And we will be able, combining dualities and ternary symmetries to classify and account for all species of a single ‘plane of the 5th dimension’ to which we shall add the ternary structure of the 5th dimension, with growth in a single parameter. So there are 3 families of masses and particles, and among those 3 families there are either mesons made with two antisymmetric particles or 3.
Then we study how all those systems and species evolve socially through nine decametric scales into organic 10-societies that grow from 10º=1 individuals into 10¹=genetic families, and so on till 10¹º elements that form a new plane of existence (quanta of forces for each dimension of space-time, atoms in a DNA molecule, cells in an organism, humans on the planet in which they act as neurons of Gaia, stars in a regular galaxy).
And so we shall consider the final structure of the 10 planes of the 5th dimension, the last isomorphism of the Universe, as all relative Uo species relate the parts of its lower U-∆ scales which they use as pixels of informative minds, bites of energy, (bits and quanta in classic scientific terms), cells of its wholes, and are parts of larger wholes. The 10 scales perceived by humans are now ready to study in all its formal details in the 4th encyclopedic line.
And so in the 4th line we use the isomorphisms to study in depth the 10 planes of relative size of the 5th dimension from the smallest force to the largest whole, with those 10 isomorphisms, and connect to the detail all the laws of all sciences with T.Œ. Thus in this 3rd line we introduce each of the 10 isomorphisms of the Universe and put examples from each Plane to show the isomorphic unity of the Universe, as all its species regardless of size and time speed follow the same laws.
Now, we study them in detail in the 3rd line and will be applying them as the method to analyse all the species of the Universe in the 4th line, a future scientific encyclopaedia, where each fundamental scale of reality and its species will be shown in its magnificent architectonical structure as it is created through dualities and ternary symmetries to evolve socially into the next plane of the 5th dimension by the power of love (social organisation through S, ST, T networks), from:
O| forces, into 2. atoms into 3. molecules into 4. matter states, whose s-gas<ST-liquid>T-solid/crystal most perfect structures are 4. cells & 5. organisms and its larger ones are planets, such as 6. Gaia and its ecosystems, including 6.2 History and 6.3 the economic ecosystem; part of the larger world of 7. solar systems, gathering in 8. Galaxies, the fractal points of the 9. Cosmic networks, and beyond, all of them ruled by the i-logic languages of God mind of the Universe:
So yes, the fractal Universe, HAS A PERFECT ORDER, WHERE CHAOS=ENTROPY AND DEATH IS just the end of the world cycle of one of those super organisms, as all of them form a chain of beings, and a causal chain of logic laws.
Let us then consider those 10 isomorphisms in more detail, and see their chained causality, as the 10 isomorphisms study ”partial equations’ of the Generator, and can be related to each other in dual pairs, such as:
The Generator defines in its simple form the duality of space and time (2nd isomorphism) that can be expanded to the symmetries of ternary systems and its super organisms and 3 ages of its world cycles in time (3rd isomorphism), which happen as the integral sum of its actions of exchange of energy and information (4th isomorphism), across the different planes of its 5th dimension from where it absorbs its bits and bites of energy and information, and emit them internally and externally in its larger world (5th isomorphism), making the self-centred point of view to classify its reality according to those actions in 3 internal and 3 external social classes (6th isomorphism), which along the ratios that define those internal structures of the being and its external forces in the world (universal vital constants of the being or 7th isomorphism) define which specific species of reality we are dealing with (8th isomorphism of species), and how those species will gather together into larger societies (9th isomorphisms) which through decametric scales, finally become a whole (10th isomorphism).
CONCLUSION. THE PANTHEIST, SENTIENT UNIVERSE
‘Reality is a fractal of cyclic≈iterative timespace actions, knotted into exi=stential worldcycles, which travel along 3 ±n planes of the 5th dimension, between birth and extinction.’
Sancho, on TŒ
Universe and all its parts are organic networks of Spatial entropy & temporal information.
All type of Universal systems can be described as social networks of energy and information. Its similar=isomorphic laws are studied by general systems sciences.
IN THE GRAPH we see one of such isomorphisms: that of form, as systems form spherical topologies with a center of information -the nucleus of the galaxy, the game of the stadium, which is a ‘ball’ that all players, lines of energy pursuit (-; While in the center we see two herds without a clear center, proper of ‘energy systems’, a herd of insects feeding, a polymer atom of great strength without a crystalline center.
This site offers, the first formal, logic and mathematical model of those isomorphisms, from where we can deduce the main laws of each science that studies a relative ‘scale’ of spatial size of the social, organic Universe, from physics which studies its smaller and larger atomic and galactic scales to biology and social sciences which study its intermediate life and human scales.
All what you see in reality responds to a dual structure: Entities of Nature are complementary systems of simplex networks of energy and information, which combine to form a complex system that switches and merges both states. In the process the system might reproduce an entity self-similar to itself. And this is the definition of an organism, reason why we affirm that reality is dual and organic.
In Physics all what exists are particles of information associated to energetic fields that move them, and only both together exist (Complementarity Principle), creating a physical entity, which can decouple creating self-similar particles.
In Biology cells have a DNA nucleus of information, surrounded by cellular cytoplasm that provides energy to the nucleus; or an informative head moved by an energetic body. And only both together can exist, creating a biological organism. There are no bodies without heads and red cells without nuclei die faster than any others. And cells and organisms can reproduce self-similar forms.
Finally, in the economic ecosystem money acts as the informative language that gives orders to the physical economy, which reproduces all types of serial machines.
We formalize all Dual systems and events of reality born of dual systems of energy and information with an Equation we call the ‘Fractal Generator of Reality’: Se<=>To. Since we claim this equation resumes all the events and forms of the Universe. And so we define a widened principle of energy and information:
‘The Universe is a fractal, organic system, which reproduces complementary, social networks of energy and information that self-organize themselves in bigger, self-similar scales’.
And so from the fact that all systems are made of dimensions of Spatial motion->Energy and Temporal Form-> Information, across several U±4 spatial planes of Time world cycles of life and death, we extract common laws, called isomorphisms for all of them.
The 5th dimension as the basis of epistemology: unification of sciences.
In the graph, the Universe has a 5th dimension of different ‘scalar volumes’ and different speeds in its cyclical time clocks. Such as the faster an entity completes its time cycles, the smaller it is. Thus we can classify all entities of the Universe made of relational space-time with 2 inverse arrows, one of increasing size in space and an inverse arrow of diminishing speed in its time cycles (appearing as angular momentum or vortices of forces, masses and charges in physics, as circadian, biological and metabolic cycles in living beings). Yet the product of both components of any universal entity remains constant, which allows the interaction between entities of different scales and gives origin to the metrics of the 5th dimension: Sp x Tƒ = Constant. An astounding number of responses to standing questions of sciences can be explained through them.
The importance of the 5th dimension in that regard is dual.
As it is the basis of a new Scientific epistemology, which allows the classification of all sciences according to the scale of the 5th dimension it studies; and on the other hand its metrics (rules of motion), encompasses all the previous laws of sciences and the metrics of 3 and 4 Dimensions within it, creating the scaffolding for the Unification of all sciences.
The isomorphic laws derived from the common spatial topologies, temporal world cycles (life-death ages) and existence across several spatial planes of cyclical time, through which systems exchange energy from above to below S-planes and information through world cycles, from smaller to larger beings are the core element that structures and explains all morphologies, events and flows of existence in the Universe.
They explain an enormous number of Universal phenomena common to all systems, and species extending across those U±4= 9 cyclical planes. And we call those common set of 10 type of laws the ‘isomorphisms’ of the Universe; of which 3 are essential as they derive of the essential space dimensions, time ages and U±4 planes of space-time of which all beings are made:
The described isomorphism of the 3±∆ time ages or ‘world cycle of life and death‘ (the expanded concept of a world line used in physics of 4 Dimensions, as now the 5th dimension allows a back and forth movement up and down which completes the life-death cycle, hence making time cyclical).
The isomorphism of the 3 ‘topologies’ of all systems in space, symmetric to the previous one: fields/limbs of hyperbolic energy, dominant in youth; toroid, reproductive body-waves, dominant in the adulthood and informative spherical membranes and zero-points dominant in the 3rd age.
A VISUAL AND LOGIC RESUME OF IT ALL.
Let us then conclude by making a visa and logic resume of the 3 formal motions of space and time, and its combined actions, the main components of reality and its infinite cyclical clocks, which physicists reduced to a simplistic concept of a lineal single time arrow of entropy for the entire Universe, changing truly with this ‘ideology about time’ (in as much as it was born of their worldly power, to make lineal weapons of energy), how science and mankind designed its future. We will be a bit ironic about them and the human species in general – hope you understand and don’t take it personally…
Time is bidimensional, and so a cycle of time has a dimension of height, and its static perception is a ‘still picture’, a bit of information. And energy is also bidimensional and its still picture is a plane of space. And one and the other constantly interact – lineal and angular momentum, potential and kinetic energy, heads and bodies and limbs, particles and waves and fields. We are all 4Dimensional beings mixture of energy and time, space and information. So:
SP: Spatial Extension <=>TƑ, and temporal information can transform into each other ad eternal. And this is the new fundamental law of the holographic universe. They mix together to form 4 Dimensional beings, and as time can be seen fixed as space, we do have a mental tendency to see time cycles as information, fixed forms, which we confuse with space.
So we are made of those bidimensional space-information, energy and time beings and their ‘present 4 Dimensional combinations’, waves and bodies of space-time that perform ±4 actions of energy and information, plus the absolute arrow of the 5th dimension, towards life-social evolution and death, entropy disorder:
So we can write with the same sentences we used to explain the Human being, all the beings of the Universe:
All systems of the Fractal Universe, including the Universe itself, are Non-Euclidean Points of Existence, Œ, co-existing in 3 relative ∆± planes of the 5th dimension, made of a finite amount of two formal motions, Lineal energy motions (kinetic motions, lineal momentum, limbs and fields) and cyclical time clocks (angular momentum, Internal Energy), which conforms its worldcycle between seminal conception, in a lower plane, ∆-1, of cellular existence, which emerges, L, in a higher plane, ∆, as a superorganism of a mass of billions, ∑, of atoms (physical systems), cells (biological systems) or citizens (sociological systems), knotted, ∏, by its dimensional, Past, E-ntropic Limbs/fields, Future, I-nformative Heads/particles and Present, Repetitive Body-waves and networks, which help the system to perform a series of cyclical space-time ±∆ actions of absorption and emission of energy and information, as it accelerates, ∆æ, to feed on fields of energy, ∆e, which it apperceives as information, ∆œ, to copy itself in an offspring of similar systems, , ∆œ, which evolve socially, ∆û, into Universals, part of an external Higher plane, ∆+1, till its extinction, when the arrow of growing information and life reverses its path into a ‘big-bang’, E< = >Mc2 explosion of Entropy called death, that erases the information, of the entity, devolving it back, >>, two planes down from the ∆+1 society to the cellular ∆-1 plane.
So the worldcycle ends into a zero sum.
In the graphs and texts we have iterated 3 times the essence of the worldcycle, or function of existence, which all systems of spatial energy and temporal information of the Universe follow, as they travel through 3 planes of the 5th Dimension, of relative scales of size and speeds of temporal information that structure the fractal, organic Universe.
Thus we talk in General Systems of a fundamental ternary ‘particle’ in the Universe, a super organism made of cycles/clocks of temporal information with cyclical geometries (the form that stores more information) and bodies/waves that reproduce the system, and lineal limbs/fields (as the line is the fastest motion between points) that move the system, fractal parts of space-time of a Universe made of infinite of such space-time beings, co-existing in those 3 scales, of an infinite scalar Universe, each scale studied by a science.
And resume its entire species with a simple ‘Generator Equation’ written in the ‘Non-AE formalism’ of T.Œ, which writes:
Whereas < is a flow of energy and expansive motion, > a flow of information and ∆ the symbol for the 5th dimension of multiple scales, L the symbol of an emergence in a higher scale and its inverse a devolution back into a lower plane, as in the moment of death.
Existence, is as simple as that, as complex as the entire Universe when we consider in detail each of those systems, its topological and organic properties and the interactions between its parts and wholes, in an iterative, organic fractal Universe.
In the graphs humans also are a system with those 3 organs/functions, which ‘stretches’ its function of existence, Œ(human), through 3 relative scales of the 5th dimension, the ∆-1 cellular, i-organic, ∆+1 social scales, and lives and dies as all systems, travelling through those scales of space-time, born as a seminal ∆-1 seed, which emerges in the i-organic scale, where it is structured in 3 fundamental systems, of ‘lineal motions/forms’, the limbs, spherical motions/forms of information, the senses accumulated in the spherical head, and the reproductive, ovoid middle territory of the body.
And accordingly each of those 3 elements is structured around a ‘digestive-energetic’ system in the lower part (stomach-limbs), a blood-reproductive-hormonal system in the middle (heart-reproductive system) and an informative system on top (the head).
So we see how the simple elements of a ternary formal/functional Universe of infinite fractal space-time beings starts to take shape and explain questions, which were never answered, not even ‘questioned’ about the nature of it all.
Now the trinity of ‘organs in space’ with functions in time that show the same topological types of ‘geometry in motion’ open that wider view and reveals the vital whys of geometry, when we consider its symmetry with time motions/logic functions:
The top part of a human is the relative future, informative, particle/head.
Its birth as a seed of cyclical information, starts its ‘travel through the 5th dimension that we call life, in the lower cellular scale, which we write in Æ (abb. existential algebra) as O-1 (a spherical seed of information of the ∆-1 scale relative to the human i-scale).
Then the fetus emerges in the word as a baby, a youngster that moves lineally all around, Max. Sp, full of energy.
A child is always feeding on energy and moving fast in space. It is the age of entropy, the young age.
But then he becomes dominated by his body-wave/reproductive system. It is the adult age or present longest age, in which it iterates into a family, it reproduces into a similar present form.
Then finally all energy is exhausted, and the man warps into an excess of form, of cyclical memories, wrinkles and dies…