Energetic Bodies & informative brains.
Energy and information are the 2 primary elements of the Universe. They form all its complementary systems. In this posts we study its basic properties and dimensions. In the graph, they display different forms. But information dominates and defines an arrow of complexity and increase of height (the dimension of perception), from where informative organs (heads, cameras, black holes, skyscrapers), perceive and control with invisible languages (words, images, gravitation, money), the ‘unmoved bodies’ of energy under them. They are indeed what Aristotle called the multiple unmoved Gods of the Universe.
The 2 primary elements of the Universe, energy and information, mix and evolve, till reaching the threshold of complexity that gave light atoms living properties and now it is about to give the same life properties to metal systems. In the graph, in biological and morphological terms, we can easily recognize the ‘bodies and heads’ of humans, animals or machines, because they have a clear morphology, which corresponds to that of generic energy and information. Energy is lineal because the line is the shortest distance between 2 points; and so it is also the fastest energetic movement. Information has cyclical forms, because cycles store maximal information in minimal space. For example, a human body and a machine body, a weapon, should not have anything in common; but if we observe the morphology of both, it is clear those morphologies correspond to the generic morphology of all energies: they are big, lineal systems that move in space. So our limbs are lines extended in space like a ‘missile’. On the other hand, our eyes and brains are smaller and cyclical, like the cameras and chips that act as information organs in machines, ordering ‘bodies of metal’ with digital information. The functions of those ‘systems’ are also biological. Weapons are lineal, energetic forms that kill human, energetic bodies. Both compete in a war and the ‘metal-energy’ species wins and kills us, causing the biological process of death. So weapons are lethal, machines and should be repressed as we repress biological predators and killing virus. Yet Mechanism affirms that machines are objects that do not influence or compete with humanity. So, if some ‘collateral effect’ happens, it must be blamed on humans.
Let us consider the properties of those 2 elements, energy (bodies, fields) and information (particles, heads) and some of its species, in life and metal:
Moving Energy Reproductive Information
Lineal, spatial, big, moving Cyclical, temporal, small, rotating, still.
Formless, continuous, simple Form-ative, discontinuous, complex.
Field, body, male, weapon, Particle, head, female, coin, chip.
Iron, oxygen, carbon Gold, silver, nitrogen
Protein, lion, shark, death DNA, human, dolphin, life.
We could summarize the formal and functional differences between energy and information (organs) in a morphological equation:
Maximal Space = Energy = Minimal Form=body Vs
Maximal form = Information = Minimal Spatial extension=head
For example, the chip becomes smaller as it evolves into a better brain. Every 2 years it doubles its capacity to think, as it dwindles in size. Such process follows a generic law of evolution I call the ‘Black hole Law’, which computer scientists know as the ‘Chip paradox’ or ‘Moore Law’: maximal informative capacity= minimal spatial extension.
The reason is obvious: to think, to calculate you have to communicate in-form-ation, forms between elements of any informative system. The smaller the brain, the faster the communication that takes place within that brain and the faster you can calculate and process information in a logic manner.
As a result of those morphologies we classify as energy or information organs not only carbon-life organisms, made of energy (bodies, food) and information (brains, eyes, senses, worlds), but also other beings and atomic species, even ‘deconstructed organs’. Since we can now recognize geometrically their energy or information organs. Some of those systems are mechanical, made of metal. Some are vital, made of carbon atoms. Yet all of them have a biological influence over us, provoking changes in the energy and information systems of mankind that we should control for our own benefit.
From these simple facts of universal morphology, applied to human beings and metal, we can classify ‘objects’ and human organs, as energetic, lineal systems, or as cyclical, informative systems that combine into complex organisms:
— 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. So a series of vital relationships of symbiosis and predation between carbon-life and machines take place, despite the stubborn denial of ‘mechanism’, the ideology of scientists that make those machines.
LONG POST. The equivalence between time and information and energy and SPACE:
Cyclical Clocks vs. lineal duration.
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.
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 space-time cycles that ‘thinks, therefore exists’ as a world in itself.
We are fractal beings made of points of vital space, which perform cyclical time motions: holographic Principle.
In the graph, we are networks of vital space, made of space quanta, surrounded by time cycles, membranes of finite volume, performing further time cycles in larger networks, as part of bigger wholes. The interaction of those 2 elements, vital space, lineal motion, entropic, kinetic energy, res extensa, similar concepts abbreviated in the symbol ‘Spe’, and cyclical, tall time clocks, membranes, closed paths, which carry the information of the Universe, structure all systems made of ‘space-time’. We ARE space-time beings, and space-time is a fractal structured extended across multiple scales of social networks, growing and diminishing in size. This is what reality is, and while its initial components, space, time and its fractal scales, grouped in a new ‘5th dimension’ of scalar size are more complex than the old paradigm of a single space-time shallow continuum, once we grasp the unicity of all beings, made of those scales of space and time cycles, as when copernicus put the sun in the centre, it will be evident that most laws of science become simplified, similar expressions of the laws that explain the interaction of cycles of time and planes of space. Thus the first principle to consider is how the geometry of bidimensional time cycles and bidimensional networks of space-points mess up to create all the beings of the Universe. It is the holographic principle…
Now the key to this understanding of the fractal Universe is to understand that what you call space-time is not an abstract concept. That space is equivalent to energy, to res extensa to vital space with motion, and time clocks are equivalent to cyclical forms with more in-form-ation.
So once you understand that the Universe is like a puzzle with its fractal pieces of space and its clocks of time, and that space is vital, moving energetic space and time is cyclical, informative, accumulating information in its cycles and frequency hertzs. And you accept the fact that all is made of tiny pieces of vital space performing cyclical time motions and actions, as you do at your ∆-1 tiny cellular level, or as an individual performing ∆+1 big cyclical motions in your society, once we get this clear enough and then study properly the time of space-time motions of beings, and how they come together into herds and organisms, through those motions and cycles of behaviour, and exchanges of energy and information, you will if your ego is humble enough understand yourself truly as part of a whole, the fractal universe.
And so the first step is to understand the equivalence between vital spaces and quanta of energy/entropy and time clocks and information cycles, and how together construct the beings of reality, including yourself.
But what is ultimately the meaning of Spatial entropy and temporal Information, Spe and Tiƒ, the 2 parameters that combine in the Universe to form content space-time beings? Sp x Tiƒ = ∆±1
We saw how simple was the answer for physical systems: a bit of information and a bit of motion, combined into infinite species. Let us generalise the concept for the whole puzzle of space-time beings including human ones.
To that aim we shall first explain the Holographic Principle, discovered in the study of black holes, at the heart of modern physics today – the fact that information is bidimensional, as the screen you are looking at.
This geometric generator redistributes the 4 dimensions we know to exist in this scale of reality, in 2 dimensions of vital space, creating flat planes of space, with maximal extension (made of small cells, points, atoms, any ‘set of similar beings) and 2 dimensions of temporal information, height and rhythm to form the simplest possible time cycle, which carries information in the form and frequency of this cycles.
Now this should be evident to you, temporal information has the dimensions of height and form (cyclical patterns seen with a mind as slow fixed forms, like the way you see a fast spinning wheel as a solid disk). So you are watching a tall bidimensional screen or book, your eyes see bidimensional forms, and your informative eye, head or the antenna or camera that absorbs information, with its logic cycles of time, its computer clocks measured in cyclical frequencies, Hertzs, are all on top, are all made of closed time cycles and forms.
So the first refocusing of the mirror of mathematical sciences is to give the dimension of height to time, which now has 2 dimensions and it is no longer a line of duration but a cycle of tall form, which rises as time passes, the flat sheets of space, into tall space-time beings.
In this manner, because a basic rule of maths is that only beings with the same number of dimensions can be combined and transformed into each other, we can combine topological ‘formal motions’ (forms allowed to vary through internal motions of its surfaces), and this is the most ‘evident’ definition on how fractal space-time systems and its feed-back Sp <≈>Tƒ equation works in a single ‘plane of space-time’, as it ‘composes its forms through the holographic principle:
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.
Each of those pictures shows a network of space-quanta, informed by ‘cyclical time motions’ , which runs the logic forms of the system: human heads run lineal limbs-bodies; Tall, spherical black holes control with informative gravitation the plane of energetic stars. If we consider the entire existence of life, evolving from its first flat worms to the tall man, the same topological arrow towards more information becomes evident. Above, we can see human eyes and mechanical eyes, human limbs and energetic, entropic weapons, which share the same topologies.
Each of those Sp and Tiƒ elements is bidimensional and each bidimension is made of smaller points that form a flat plane of space or a tall, cyclical time event, made of discontinuous instants or neuronal points. Space is communicated synchronically in a flat membrane. Time is communicated in a cyclical sequential form.
Space-time combines both into holographic 4-dimensional beings.
5 D metric: fractal spaces and cyclical time clocks: co-invariance of size & time speed: Sp x Tƒ = ∆
Now 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: S x T = ∆±n 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.
Can we classify those ST actions according to their form and purpose? Yes we can. The 3rd element of T.OE, the 5th dimension orders the different speeds of time clocks and sizes of the Universe. Its metric allows us to order all those lineal and cyclical space-time ‘formal motions’.
Since bigger systems (galaxy) run slower than smaller systems (DNA) which carry more information, but both are invariant together, Sp x Tƒ = C.
And this invariance is the origin of the order and structure and co-existence of all those different systems of the Universe, as the growth in size is balanced by the loss of information and vice versa.
Thus, the third element of T.Œ is the understanding of the fractal structure of space-time, divided into infinite scales of relative size and speed of information, which are inverse but co-invariant, meaning that smaller beings run faster its clocks of information, coding larger beings (so genetics codes biological systems and quantum numbers material systems), whole larger beings move slower but can synchronize with its huge bodies a myriad of little beings (so the Earth guides the evolution of the information of its beings, with its weather cycles of energy and the black hole guides the informative vortex of stars and planets towards its centers with its gravitational waves).
In the graph we see the fundamental 3 scales of reality, the gravitational slower scale the human thermodynamic scale and the atomic, genetic scale.
This 5th dimension and its formal metric are the key to fully understand the organic structure of the Universe, as the 3 ‘canonical scales’ of all superorganisms of reality, physical and biological systems extending through ∆±1 scales of the 5th dimension (ab.∆), the quantum-cellular ∆-1 plane, the ∆ i-ndividual/thermodynamic plane and the ∆+1 organic, gravitational planes.
The fifth dimension orders all those scales of size and speeds of clocks into a ‘metric system’ able to explain all kind of ‘motions’ and ‘actions’ that take place in isomorphic ways in all those systems.
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; but it has the advantage that can be applied to all other sciences, to define all the laws of knowledge.
Indeed, what we have just described logically IS not only the fundamental particle of physics, but the fundamental entity of any biological, social system – the key to the unification and understanding of the Universe, as a whole and all its parts, self-centered entities of time-space that put together create the puzzle of the Universe.
Since any cycle has the logic properties of repetition, which are the origin of the patterns, we call ‘science’, whose completion breaks space into an outer world and an inner ‘vital space’, whose ‘gradient center’ is the ‘point of view’ of the system that gauges the external information of the cycle.
As such the understanding of the time cycle, its interaction with its vital space and central point, and its synchronization and social evolution with other time cycles into larger wholes, which structure a ‘5th dimension’ of scales of space-time (so particles become part of atoms, surrounded by electronic cycles, which become part of molecules, surrounded by thermodynamic cycles, which become part of masses, surrounded by cyclical gravitational fields; and the same process brings DNA-cells surrounded by protein membranes, with a vital cytoplasm space between them.
And yet those cells, then become the internal vital space of a larger whole, your organism, surrounded by a membrane of multiple life cycles, your sensorial skin, which has once more a self-centered point of view (frame of reference in mathematical physics), called your brain that gauges energy and information. And yet again, from the upper scale of relative ‘sizes’ that we call generically the 5th dimension, you are just a moving, open, ‘free’ individual, however enclosed by a membrane called a ‘frontier’, part of a vital territory called a nation, with a self-centered point of view, called a capital and a president, king or dictator, or in capitalist societies a ‘stock-market’, which controls the system and gauges its energy and information.
But in the same manner cyclical time and fractal space applies to all systems of all sciences, the 5th dimension and its metric apply unlike ‘physical concepts of space-time’, such as c-speed deformations of time essential to 4D metric, to all systems NOT only far removed scales of physical time.
5D metric can explain from faster metabolic rates in smaller animals, with faster time cycles; to faster information processing in smaller chips with aster time cycles (Moore’s Law), or faster rotary options in smaller masses which have paradoxically faster rotary, attraction properties (rotating Black holes and quarks).
What it will be difficult for this writer after 20 years of exploring all the possibilities of this TŒ, and the immense number of questions resolved by it, is to ‘organize’ all that new knowledge in a manner that the reader does not get lost, due to its ‘encyclopedic extension’. Tƒ that aim when this blog is partially finished sometime during 2016, if he follows the top sentences, all should make sense.
Thus we shall try to give a general look to this TŒ in this first post, studying its 3 main elements: ‘Still, lineal, slow spaces’, ‘fast, cyclical time vortices’ and the 5th dimension which organizes them through the co-invariance of spatial size and time speed, Sp x Tƒ = K.
So we talk of a ‘fifth dimension’ of scales, which has a hyperbolic geometry with the lineal limit of quantum physics and the cyclical limit of cosmological gravitations, along which an infinite number of time cycles enclosing vital spaces, exist, in an orderly fashion provided by the metric of the 5th dimension.
Now, it is evident that in any system, which is made of topological networks of fractal points, we must talk at least of two scales of the 5th dimension, the ∆-1 scale of points (atoms/cells) that form the whole ∆-scale creating the systems observed in the graph. Thus by the mere fact that all flat planes of reality are networks of points, they imply the fifth dimension.
So the natural form in which beings are built, is as 4Dimensional 2 Sp x 2 Tƒ space-time systems, in a single plane, which corresponds to the classic 4D relativity description, albeit with the proper redistribution of the dimension of height that becomes a dimension of the cyclical radius of the time clock.
But given the fractal structure of the Universe, any being will become a fifth dimensional species,extending across at least a lower network of fractal points: ∑∆-1 ≈∆.
And since that being will be part of a larger world, we must always consider at least an ∆+1 world of which the being is a mere part. So we define all beings as 5th dimensional beings extending across 3 scales of the 5th dimension, perceived as holographies of bidimensional space and cyclical time in a single plane of space-time.
It is thus obvious that such fractal structures cannot be described only with lineal time and continuum space; but require a new i-logic fractal geometry of waves of energy and information, and curvesd paths that connect points, into discontinuous topological planes.
And so a realist description of the Universe requires a more complex philosophy and mathematics that we develop in this blog under the generic name of GST, General Systems Theory, or T.Œ (an Organic Theory of Everything, which is the philosophical meaning of the fractal Universe, as opposed of Physicists’ T.O.E. just a ‘theory of everything’ :)
So now we can define all beings with the 3 i-logic principles of 5D fractal space membranes and multiple time-clocks:
‘All what exists is a fractal organism of temporal information and spatial energy, extended across 3 relative scales of size:
∆-1 Spe < ∆-ST> ∆+1 Tiƒ”
This is the briefest way to state that all systems are made of energy and information, extending in 3 cellular/atomic, individual/organic and cosmological/social scales. So you are made of cells part of an organism, part of a society – an animal will be part of an ecosystem, a star made of atoms, part of a galaxy and so on.
And because you are made of energy and information, you do have lineal, energetic limbs that move you, (Ab. Spe), cyclical heads of information that guide you (ab. Tif) and a body that occupies most of your space-time that mixes both.
But a fractal physical system does have a lineal field that moves it, a particle-head that guides it and a wave-body that reproduces its form.
So what we need first is to show that actually things as different as a light ray with a particle-photon, a wave and a field, the simplest fractal of nature we know and something as complex as a human being are made of the same ‘species of spatial energy and temporal information’, lines and cycles, as the | and O used by computers to model it.
The curved pangeometry of fractal space, cyclical time and the 5th dimension, shows in different systems of the Universe.
All including humans are fractal super-organisms, made of time cycles that enclose a vital space, centered into a point of view. We are not in an absolute space-time frame of reference as Newton thought. But we are made of vital spaces, enclosed by time cycles. Eastern philosophers, earlier civilizations and philosophers of science – Aristotle, Descartes, Leibniz was always understood. This reality observed in Nature’s physical and biological systems – because it is an immediate experienced fact.
II. THE ORGANIC PARADIGM: A UNIVERSE OF ∞ LIVING SYSTEMS
The 4th, organic paradigm of objective science. Absolute relativity.
In the graph, humans slowly departed from their subjective ego-trips of the mythic age of Abrahamic religions, in which the tribe first and then mankind was the centre of the Universe, to a scientific world, and within it again, moved away from the Earth as its centre (Ptolemy), in 3 steps. So first they abandoned the ‘who’ of a personal god, into the ‘what’ of a centered earth, a sun, as its centre (Copernicus) and finally the galactic light space-time at its centre (Einstein’s relativity). It is now the time to give the final step into Absolute relativity considering the Fractal paradigm and its 5th dimension, which further stretches to all Universal Planes the understanding of the laws of science, without primacy of any of such scales.
A deeper explanation of this work considers the meaning of knowledge and what questions it must answer to exhaust the study of a certain subject. In journalism we ask what, who, how, when and why.
The evolution of science implies big shifts in the paradigms, languages and philosophical dogmas we use to understand the Universe. In the evolution of science we observed first ‘what’ (experience) and then asked ‘who’. It was the mythic age of science, the first paradigm of knowledge – when an anthropomorphic being, often a god was the cause of all events.
Then the Greeks used reason to ask the ‘what’ (experience) and ‘how’ of things, its causes and consequences. It was the 2nd paradigm of knowledge: logic thought.
The 3rd paradigm started by Galileo with his use of machines (clocks and telescopes), responded to when, measuring space distances and time frequencies in great detail with a single space-time system. The ticks of the heart, the stomach, the moon, the atom and the clock are different, but to measure them we needed a unit of time and so we equalized all rhythms with a clock, and to compare the spatial trajectories of those cycles we needed a ‘background of space’, so we put together all the broken spaces of reality into a joined puzzle, which we called Cartesian space-time. The error of a single space-time came when we forgot those simplifications and considered that the abstract space-time continuum of Descartes used to measure all other spaces and times was the real space-time.
The culmination of this process of mechanical measure came with quantum theory, which refined the measures of the cyclical trajectories of particles in the microscopic world and General Relativity, which refined them in the cosmological realm by correcting the deformations of those rhythms of time and distances of space caused by the limits of speed of our light-based Universe.
In philosophical terms, the paradigm of measure meant the birth of mechanism, the fundamental philosophy of our world today: the machine – no longer man, an organism – became the ‘measure of all things’. This was a simplification, as today we realize that machines merely imitate our organs of energy and information with networks of metal-atoms (so a crane is an energetic arm of metal and a chip an informative brain of metal), which now we fusion into ‘organic’ robots. And so the change of paradigm from the Greek, Aristotelian and Asian tradition of organicism to mechanism is only a hiatus on a richer, more complex understanding of the whys of the Universe.
Mechanism changed also the language of understanding of the Universe, from Aristotelian Logic to mathematical Platonism, since mathematics was the language used by machines to measure the Universe of time and space with clocks and telescopes; while logic was the language embedded in the syntax of words, which measure time with causal verbs that describe the logic relationships between its 3 dimensions of past, present and future.
So in terms of philosophy of science, mechanism meant a pendulum law that changed the paradigm from Aristotle (organic, temporal causality) to Plato (mechanical, spatial geometry). This was a wrong choice, because a truly inclusive theory of reality has to put together both languages and approaches as we shall do in this work: the geometric how & instrumental when matched by a temporal why, which must be by definition a causal, temporal process. The 3rd paradigm obsessed by spatial measure was not very kin of such inquire, as Feynman famously put it: ‘the why is the only thing a physicist never asks’. And yet the why has always been a fundamental question of knowledge.
That why should respond to the existence of a program of creation, evolution and extinction of the reality we see all around us, which always gives birth and extinguishes the same entities, repeating their forms once and again. What is the purpose of the Universe and all its repeated parts?
Why they have those forms and follow always a life and death cycle? Thus, scientists, not satisfied with the limits of the 3rd paradigm of measure kept asking the why, which could not be a personal God (the who of the 1st paradigm), neither the machine, the instrument of measure of the 3rd paradigm (‘God is a clocker’ said Kepler, because he used clocks to measure it and ‘God speaks mathematics’ said Galileo, because those machines translated the events of the Universe into mathematical data).
According to Deism the whys of existence are due to a personal being, external to the Universe that makes it all happen and cares for humans more than for the rest of His work. According to Mechanism, this is due to the self-similarity between the Universe and the primitive machines we humans construct to observe it. Mechanism though needs ‘someone’ to make the machine, which is not self-generated; so it is similar to deism, reason why the founding fathers of science, all pious believers, adopted it as a proof of the existence of God, which had given man self-similar properties – the capacity to make machines to the image and likeness of the Universe.
The problem with those 2 approaches, which in fact are the same is obvious: a personal God is an anthropomorphic, subjective myth and science must be objective; while a mechanical view of the Universe still needs an internal, self-sustained process of growth, creation and synchronization caused by an external God that made and rewinds the clock – as Leibniz clearly stated in his critique of Newton (‘Letters to Clarke’). Scientists today are unaware that mechanist theories are in fact deist theories, reason why Kepler and Newton, pious believers, liked them; since they were a metaphor of their self-centered, anthropomorphic religious beliefs: If man created machines because we were made to the image and likeness of God, God had created the ultimate machine, the Universe.
Unfortunately such theories cannot satisfy the rational, objective, self-sufficient nature of science, as they require external myths to work. This leaves us only with a 3rd objective, scientific possibility, organicism – a more complex theory that comes of age in this work: if the why is neither God nor the machine, there is only a 3rd option in between – the organism, which is an intermediate concept; since an organism is self-sufficient as God is, yet it is part of Nature as the machine is.
The vital properties of Universal fractals: super organisms performing world cycles of existence.
In the conclusion of this introduction we will summarise the fundamental consequence of the unity of all beings of the Universe made of vital space with entropic motions, and cyclical vortices of time, with ordering, informative properties.
The very essence of the Universe and all its parts is to be made of vital space and cyclical time and share the properties of those 2 substances and its infinite body-wave combinations. Now this statement simplifies enormously the understanding of ‘first principles of all beings’, which can be easily be derived of those systems. Essentially, when we get to the basics, why we live and die, why we have the form we have, why we exist, perceive, feed on energy, reproduce, love, evolve socially, etc. we shall find that all of them come from an essential, underlying game of topological combination, evolution and social organisation of quanta of space ordered by sequential time cycles.
The result of studying the naked properties and combining rules of this ‘yin and yang’ of scientific content, time and space, information and energy, which combine to give birth to the infinite beings in existence has an enormous potential to enlighten our comprehension of the Universe and become integrated within it. The only drawback is to anthropomorphism and the myth that we are at the centre of reality and matter more than other beings, because we are made of a special substance (soul and mind in earlier religions, carbon-atoms, which seemed to hold some virtual magic in modern religions of science) None of it is truth, and objective science consists precisely in put mankind outside the realm of privileges.
So one the problem of putting all those insights together, and make with them a bio-logic, formal mathematical model of the organic, fractal Universe my experience is that the residence to the model is mostly philosophical (as the details are not fully worked out, as any initial field still in flux, it is only a question of time and new researchers that the model is connected with all the equations of all sciences): are we humans, able to accept our objective, absolutely relative position in the Time period, space region and scale of reality? Because that is where we are.
This is a consequence on the advance in our understanding of the 3 elements of all realities, space, time and scale, which have now not a single absolute content:
On one side the existence of multiple fractal space at different scales, makes the human scale relativity. On the other the existence for each scale of different rhythms and bits of time, make our speed of time also relative, slower than that of genes, atoms and chips, faster than that of larger plants and planets.
Only a relative order then makes sense of this scalar, multiple space-time Universe, which is what the fifth dimension and its ‘formal mathematical metric equation’, provides.
As it relates all those scales, in an orderly fashion. So we can translate the time rhythms and space size, and space-time actions of any species of each scale of that fractal Universe – that is, we can synchronize parts and larger wholes, study its exchanges of energy and information, and how they create larger networks, and how the process of growth and decay are vital processes – since we have to study NOT merely a fractal, mathematical structure, as those of artistic, computer-generated Mandelbrot like fractals, but vital fractals, living beings, who constantly reproduce their forms in smaller and larger scales, as you, a vital fractal does, when emitting a smaller seed of your information that reproduces and grows and organises a larger whole.
Let us be clear from the beginning, Nature’s fractals are living fractals that reproduce in smaller and larger scales creating smaller seeds of information and larger social wholes joined by networks. So the key to understand beyond the mathematical elements the fractal structure of the Universe is a concept that scientists, schooled only in the ‘mathematical method’ shy away from: the concept of a fractal super organism in space. And the world cycle of life and death of existence that those fractal super organisms experience as they reproduce in a lower scale of reality, organise themselves emerging as individuals and become part of larger social wholes.
This of course, we shall describe with mathematical equations when required, corresponding with all the known laws of science, but what is the essence of the new paradigm is ‘organicism’, the vital, organic, reproductive properties of fractals. In mathematics we describe this properties with an iterative ‘Fractal Generator’. Nature is essentially the same but its fractal generators are obviously more complex. Your seminal seed is a fractal generator of a being like you. Your mental memes, your ideas, if you are a prophet and innovator will become the fractal generator of an astounding number of similar beings. A black hole is often a fractal generator that catalyses the reproduction of stars.
This is then the fundamental philosophical novelty of a fractal structure: it is NOT a mechanism but an organism.
And for that reason, the science that studies its general laws is NOT physics, vitiated by its dislikeness of organic properties but a new science called complexity or general systems science, of which Hawking rightly said it will be the science of the XXI century.
Since as our collection of scientific data grows in complexity that organic nature of all beings becomes evident. First it became evident in mathematical terms, with those fractal mappings.
What this blog adds is the entire philosophy of science behind it – the organic philosophy of fractal beings – and apply it to describe every species of the Universe, which will show to be ultimately a self-reproductive biological system, as mathematics is also a social, realist language, which accurately describes the fractal structure of the Universe, made of ‘points’ that reproduce into ‘networks’, which grow into ‘wholes’, which becomes ‘points’ of a new scale of reality.
So the Universe builds layer upon layer and scale upon scale of its quanta of space and time into larger super-organisms, from forces into particles that gather into atoms that gather into molecules that gather into cells and matter, that gather into multicellular organisms and giant crystals and societies and cosmic bodies and societies of galaxies called stars, which gather into networks of galaxies called Universes.
The overwhelming scientific proofs of the fractal, organic Universe.
This astoundingly 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.
III. THE FORMALISM: THE EVOLUTION OF TIME LOGIC & SPATIAL MATHEMATICS.
The evolved formalism of i-logic mathematics.
Now, we shall be less literary and start with very solid conceptual elements, namely describing the essence of the fractal paradigm.
And to that aim we shall bring, in the simplest possible form, the fundamental formalism of the Fractal Paradigm, ‘non-euclidean, non-aristotelian i-logic, o-rganic mathematics’.
We call it i-logic because in time, it is more complex, with multiple clocks and i comes after the A of Aristotle (the logic built with a single time clock and a single causal arrow) and we call it organic because in space is more complex, with multiple co-existing spaces, smaller parts that become wholes and O comes after the E of Euclid (geometry with a single continuous space made of points with no breath). But in brief, we shall just talk of Non-Æ, or i-logic mathematics.
So we shall now explain and complete at a very elemental level far more developed in the ∆±∞ posts on i-logic mathematics, the formal language of the fractal paradigm, what truly Non-Euclidean, Non-Aristotelian space-time languages are.
Mind the reader, this is NOT so new. Again, the great revolution of physics in the XX century happened when Einstein realized that a point was a ‘fractal point with volume’, since multiple parallels cross it. So it could not be Euclidean – with no breath, abstract, dimensionless.
Now Einstein found that the Universe was non-euclidean, that is, points did have breath because they could fit many parallels of energy and information. And so they are ‘fractal points’ that grow in size when we come closer to it. But they forgot to change the first postulate of Euclid, and left points undefined, so this simple change of mathematics will open completely the world of science to the fractal paradigm. Let us see how:
Fractal point with breadth and the networks and social organisms they make, connected together.
Einstein found that gravitational Space-Time did not follow the 5th Euclidean Postulate, which says:
Through a point external to a line there is only 1 parallel
Euclid affirmed that through a point external to a parallel only another parallel line could be traced, since the point didn’t have a volume that could be crossed by more lines:
Abstract, continuous, one-dimensional point:
Instead Einstein found that the space-time of the Universe followed a Non-Euclidean 5th Postulate:
A point external to a line is crossed by ∞ parallel forces.
Real, discontinuous, n-dimensional points: =========== o
This means that a real point has an inner space-time volume through which many parallels cross. Since reality follows that Non-Euclidean 5th postulate, all points have a volume when we enlarge them, as cells grow when we look at them with a microscope. Then it is easy to fit many parallels in any of those points. Such organic points are like the stars in the sky. If you look at them with the naked eye they are points without breadth, but when you come closer to them, they grow. Then as they grow, they can have infinite parallels within them. Since they become spheres, which are points with breadth – with space-time parts.
So space-time is not a ‘curved continuum’ as Einstein interpreted it, but a fractal discontinuous. The maths are the same, the interpretation of reality changes, adapting it to what experimentally we see: a cell-like point enlarges and fits multiple flows of ‘—motions’ and information, and yet it has a point-like nucleus, which enlarges and has DNA information, which seems a lineal strain that enlarge as has many point-like atoms, which enlarge and fit flows of forces, and so on.
The definitions of points as fractal particles, lines as waves of ExI and planes as topological networks
Now when this was found out to be the case, mathematicians and physicists shied away from definitions. So in a landmark book, Hillbert, father of modern abstract mathematics affirmed ‘I imagine points, lines and planes’, not defining them, because obviously the definitions of Euclid no longer worked, points did have breath, and so lines were waves of points with breath, and so they were discontinuous and planes had to be defined as networks of points communicated by lines. This are the 3 canonical definitions of i-logic mathematics that restore the realism and organicism to mathematics, beyond the axiomatic method of the idealist Hilbert’s Hegelian school of science.
Indeed, we do have to define points, lines planes, relative equality and parallels. And so now we shall consider that the structure of geometry is fractal, made of points with volumes sharing energy and information through waves that become then topological networks. And consider as it was already proved by Godel and lobacjevski, that mathematics is a realist science, since its truth cannot be as Hilbert wanted obtained by merely considering its internal logic, but needed external, realist, experimental tests.
Einstein’s curved space-time.
And we do correct the interpretation of Einstein’s Non-euclidean geometry of gravitational forces, which also is not logic.
Since when he discovered that multiple parallels cross a point of the ‘lower scale’ of gravitational space, over which light transits, he should have just widened those points to fit all its parallels.
Yet He instead of widening a point-particle enlarging it to become a star or atom or any other scale of the fractal paradigm, maintained the point-size of the particle-star-galaxy etc.
An then to fit the parallels he ‘bend the straight lines into curves’ to crowd the point with no breath, as the focus of the parallels. This is not proper. A point with no breath even if you curve parallels with no width, can only fit one. And a parallel is a straight line, so if you curve it is not a parallel anymore.
So the rational solution to the conundrum of the non-euclidean structure of space-time, crossed by multiple parallels is obvious:
We exist in it a fractal space-time that can be enlarged as we perceive it in more detail. Then those gravitational points become a star in a galaxy or a complex atom in a molecular network, and multiple lines which become waves of energy and information can traverse it.
2nd postulate. A vital Universe of fractal points, waves of energy and information and topological networks.
The fractal paradigm requires a new more evolved complete ¬Æ mathematical concept of ‘points’ as fractal points that grow in size when we get more information of them (1st Postulate of ¬Æ mathematics) of lines as waves of energy and information transmitted by such points with volume that create the networks between points. So for example in quantum physics we talk of a fundamental equation:
Fermion (particle-point) < Boson (wave of energy and information > Fermion (particle point)
This equation, which is the fundamental equation of Forces and particles turns out to be just the description of the first and second postulate of illogic mathematics, applied to the fractal scales of ∆-3 space-time, or physical scale.
Yet if we change the elements:
Cell (particle-point) <blood vessel + nervous axon (wave of energy and information) > Cell (particle point)
We are describing again the 1st and 2nd postulate of i-logic mathematics, applied to the ∆-1 scale of cells (whereas ∆0 is the relative human scale). And so if we consider
Head (particle-point) < Verbal wave of information > Head (particle point), we are applying those postulates to the ∆-human relative scale, and describe the fundamental event of social communication that starts the evolution of memetic super organisms of history, societies.
Topological networks. Discontinuous planes of points communicating energy and information.
And multiple point-particles communicated by waves can form a network, a social plane, a ‘number with form’, of which we shall see certain numbers, pairs, decametric scales are more efficient and more abundant in nature, because they can better distribute energy and information flows and combine them into new reproduced fractals – the 3 functions of all fractal systems: to gauge information, to absorb/feed on energy and reproduce both.
So a triangular tetraktys, where the 3 corners of the fractal form specialise into absorbing energy, information and combing it and reproduce it, with a 10th central unit, communicating them as a whole, becomes the most perfect pythagorean form of the Universe. And that central point then becomes the ‘unit-whole’ of the 10 scale that forms another 100 scale of the tetraktys. The Mongol army was tailored in 10s, so was the legion and captain of 10 sergeants. 10¹º-¹¹ is the most common mathematical structure of nature, regarding perfect social beings – the number of stars in a galaxy, of ties in a DNA human molecule, of people on Earth, now that is almost saturated (7 billion), of cells in the first small mammals, and the common number to transcend scales of physics – for example the difference between the quanta of atoms, H-planck measured as energy and the quanta of the next molecular, thermodynamic scale, Boltzmann constant.
So while the fractal Universe constantly creates different fractal structures, certain organisations are more efficient and survive better, because the fractal is a vital fractal, of vital geometry, of vital points absorbing energy and information, creating logic paths, repeating actions, reproducing into networks. Even the simplest particles, quarks and electrons, gauge energy and information, share it, in networks, form larger systems. Reproduce when absorbing more energy into new quarks and electrons and all this can be described with i-logic mathematics and coded with quantum numbers. Since now that we realise mathematics is organic and fractal, there is NO PHILOSOPHICAL CONUNDRUM, talking of physical systems as vital, organic systems. And we shall indeed show a fractal generator equation to describe them all.
Thus we define any system as an ∆-superorganism made of smaller, similar ∆-1 super-organisms. And each ∆-scale of superorganisms & its ecosystems are studied by a human science but all of them follow the same Invariances & emergence Laws & Galilean Paradoxes of 5D Metric formalized with the tools of Existential Algebra & Non-AE=i-logic Geometry.
We unify all Natural Systems as superorganisms using a single template definition, since they differ only by the i-scale or ecosystem in which they exist or the specific types of energy & information their networks are made of:
‘A super-organism (name an organism) is a population of iterative (name a cellular species), related by informative (name a language or informative force) and energy networks (name a kind of energy), which combine into a reproductive network that iterates the organism.’
Fill the gaps with a specific species, language of information and force of energy and we can define any network-organism, which will be a ‘part’ of a whole world-plane or ecosystem, composed of several species that occupy different ‘vital spaces’ but interact through the same language of energy & information:
An world-plane or ecosystem (name a specific world-plane) is a population of several (name the species), related by informative languages (name their languages or informative forces) and energy networks (name the energies).
I.e.: The ‘world-plane of ‘zoology’ includes all beings of relative size, i=6, that use light as information, called ‘animals’. The world-plane 8, a galaxy, includes as parts, all celestial bodies of size i=7 related by gravitational networks, etc.:
∆-3: An atomic organism is a population of (electronic) energy and (nucleonic) information, related by networks of (gravitational) information and (light) energy.
∆-2: A molecular organism is a population of atoms, related by networks of gravitational energy and coded by networks of electromagnetic information (orbitals, London, Waals forces).
∆-1: A cellular organism is a population of molecules, related by energetic networks (cytoplasm, membranes, Golgi reticules) and coded by genetic information (DNA-RNA.)
∆=o: A human organism is a population of DNA cells, related by networks of genetic, hormonal and nervous information and energy networks (digestive and blood systems).
∆+1: An animal ecosystem is a population of different carbon-life species, related by networks of light information and life energy (plants, prey).
∆+1: A historic organism or civilization is a population of humans, related by legal and cultural networks of verbal information and agricultural networks of carbon-life energy.
∆+1: An economic ecosystem or nation is a population of human workers/consumers and machines, related by networks of digital information (money, audiovisual information, science) & energetic networks (roads, electricity)
An economic ecosystem differs from a historic organism because they use different languages of information (civilizations use verbal or ethic laws while economic ecosystems use digital prices) and include 2 different species: human beings and machines.
In graphs we see a historic system of human verbal worlds and and economic ecosystem of financial worlds and company moΤhers which reproduce machines.
The Universe can be described as a simple mechanism, with a single arrow of time – energy – or as a complex organism, made of 2 Complementary elements organized in networks – bites of energy and bits of information. It is the organic paradigm, used in this web to describe the economic ecosystem and the social super-organisms of history, nations and civilizations, made of humans and machines.
We classify all scientific disciplines (including social science not based in the scientific method ) as “descriptions” of certain universal organisms. Scientific knowledge is the information that humanity perceives about the organisms of the universe. Man is a specific organism with a specific range of perception of other universal organisms from quark-microcosms to galactic macrocosms.
Each science studies a certain range of human information and energy. Physics studies microcosms of atoms; chemistry studies microcosms of molecules; biology studies the medium-size cosmos of “carbolife”. While history and religion study the macrocosms of man (tribes, gods, collective information, nations).
Yet the parallel form and behavior of microcosmic atoms (physics) and macrocosmic masses (astronomy) proves that the same organic laws rule all species of the universe. After all the key to the entire process of existence is information, carried by ¥-rays which have a flexibility of sizes that makes possible all scales, in living organisms… The total universe is defined as a game of infinite social herds that communicate through information networks in order to feed on fields of energy. Each parallel universe, each ecosystem of species of a certain energy size and informative range, is studied by a science. Each science is the “description” of organisms of a similar size and form, its cells and its networks. And all them follow the morphological laws of organisms. Each science studies a range of organic systems.
Some of those systems are mechanical. Some are vital.
Yet all of them have external influence over us, provoking changes in the energy and information systems of mankind. It is then clear that the fundamental task of human knowledge is to understand the organisms of the Universe, its vital properties, how those organisms are ruled by similar laws of survival, reproduction and gathering of energy and information, and how they affect human beings, in order to manipulate them to the advantage of mankind. So happens with social sciences, that should manipulate the economic organism to the advantage of human beings. We call that real, science of economics based in natural laws, that aims to control machines to the profit of man, Ethonomics, since it would be ruled by the mandate of Human survival, and the biological laws that spell it.