“Inflate the lungs of a pig and observe whether they increase in width and in length, or only in width.” Leonardo
Introduction. Reproductive Wide Energy. Growth of Population
I. Width in mathematics: Cross product vectors.
II. Width in time Logic.
III. Wide Energy in physics
IV. Wide bodies in biology.
V. Reproductive classes in sociology
WIDE, REPRODUCTIVE ENERGY
ABSTRACT. Width is the parallel dimension through which reproduction≈iteration of form takes place. Yet reproduction is also the product of combination of motion-length dimension and height-information dimension. Reason why width is the product of both, and in physics we obtain through the rule of the thumb, the vectorial product of width. So as you store your fat in width, the 2 other dimensions of form and motion combine into a reproductive width, and since reproduction creates clonic forms, they do accumulate in a width-section.
The body wave that reproduces is wide, the wave-dimension. Bodies are wide, white men, the body-race is wide in the heaps.
Length is the dimotion of field-potential speed, limbs speed, simple, lineal motions over the entropy of a lower scale. The body-wave however balances both head and limbs. In all systems a ternary differentiation happens: in human races, it seems the white race is wide body-dominant, balanced between mongoloid head-particle-mind specialization, by neoteny of the species in a youth form, or the reproductive, limbic black race. Since dimensions generate different species.
What is motion? The next graph shows it to the surprise of the reader: a reproduction of form:
So we must consider a pan psychic universe made of two elements, which are beyond causality, hence the immanent two primary states of being; motion in time and perception of space. They must therefore be the ultimate substances of reality. And its logic principle is the vital principle of reproduction.
The dimension of width is therefore also the vital dimension of reproduction, where we shall find also those reproductive iterations accumulate into statistical populations.
Wide energy. its time Logic: S=T
ITERATIVE, REPRODUCTIVE PRESENT MOMENTA
In the graph, relative, local Past-Entropy and future-information, | and 0 combine for any system finite in space and time duration, into infinite fractal Ø-beings with a body-wave ‘momentum’; integrated along the whole world cycle of its exi=st¡ence into energy, which is conserved as a zero sum, when the cycle is closed.
This simple conceptual sentence resumes the interaction of the 3 arrows of time in physics, upgrading conceptually the conservation principles and Noether’s theorem (awesome math, blurred thought, as usual in humans without the right understanding of the 3 arrows of time).
The word speed would define the simplex present that of a mere ratio between frequency of motion and distance, v=s/t=λ x ƒ. But to fully grasp the being its particle-field, mass-speed or charge-speed momentum is preferred as it will represent the being in its past to future configuration, giving us an e (speed) x i (charge, mass) =st-being power to move in the outer world. It is this present momentum when integrated through a long world cycle path, what we call then energy, related to the whole trajectory of the being.
Momentum of existence.
The best way to measure a quanta of time-space is to measure its momentum. We define in that sense the momentum of a being as a quanta of present, product of the relative past and future, entropy and information which flux into a quanta.
This in physical systems gives us a p=m (t) x v (s) natural measure of a quanta of present momentum as the product of the mass and speed of the system, the derivative of momentum then gives us a quanta of present, while its integral gives us the whole ‘world cycle’ in terms of energy, and a wholes are inverse to infinitesimals, we can say that the operation of integral and derivative are Inverse (taking the word inverse in its most logical widen concept: entropy = 1/form.)
If we consider then more than mass a ratio (density=mass/volume) of density of information as the best way to measure the momentum of a physical system a loose concept of a ‘top predator’ as the species with maximal information/brain speed and maximal body force, will give us the non-quantitative, but qualitative and quite exact (top predators both in physical and biological systems always win in collisions), concept for a biological system of maximal momentum:
‘mens sana in corpore sanum’, body x brain = biological momentum
We shall call the fundamental parameter of energy in each scale, momentum of existence, and it will be the measure of its particle-field limb-head strength, force or power. For example in biology a top predator can be considered to have a momentum of existence, product of its ‘rough’ intelligence and brute force. We naturally regard such being with top head and top muscle a top predator. In physics the mass with maximal momentum wins in collisions, more momentum from the other species so it somehow ‘provokes its entropy and destruction’ and feed on it.
Present ‘momentums’ will thus have also an organic value. While this might not be so ‘precise’, let us remember once more than GST is not about precise measures but homological laws, the inverse concept of modern instrumental science, more akin to Greek science. Yet indeed, even if most quantitive scientists will shun off the idea, there is A LOGIC ORGANIC SURVIVAL, TEMPORAL GAME IN THE UNIVERSE THAT RULES ABOVE MATHEMATIC, A ‘MANIFESTATION’ OF THIS GAME, of three time arrows playing through its organisms and momentums of existence.
The Universe conserves the present, but the way the present appears different in detail and latitude. Iteration is thus the true meaning of present which conserves itself because it iterates a world cycle zero sum, restarting the game of existence, which could not happen without iteration.
The conservation of energy and its derivative, or true ‘present instant’, momentum, and its ‘second derivative’ or ‘past’ mass, and vice-versa, the integration of a single present momentum into a worldcyle conserved in as much as it closes itself, is thus as in classic physics, the fundamental starting point for a derivation of the infinite, immortal Universe, departing from a single principle:
PRESENT exists, and it conserves itself in a finite world of time cycles, by iterating its moments and actions in fixed ordered causal patterns of time-space.
Momentum is the as the name indicates (this eerie equality between english verbal expressions and gst meanings, as in exi = st-1 (balance of two scales, between the present wave e x i and its past field, st-1 found in so many equations of space-time events) is a good mnemonic resource. MOMENTUM IS THE FUNCTION OF PRESENT, simplified to one dimension in the equation of speed, v=s/t, which uses only ‘frequency’ t¯¹ but in more complex dimension ads mass, which is basically an accelerated vortex of time, t¯²
Once the equivalence principle of mass-acceleration is understood,then we can consider mass, the singularity Tiƒ state of a physical system (so goes for charge in the ∆-1 scale), which multipled by its present speed forms an mv present>future system, which the Universe conserves, and who integral full path will be despite ‘smaller worldlines’, when integrated a full zero-sum/conservative energy world cycle.
energies and world cycles are thus closely related, and the conservation principle of both is the same. This is expressed in classic physics in the noether theorem, which essentially ascribes energy conservation to the fact that the multiple cycles of time of the Universe close into themselves (forming Lagrangian zero sums along its paths of least time.)
The simplest appearance of present is an instantaneous derivative, ∂s / ∂t, which reduces a world cycle of time to a single simultaneous point of space-time. This present v however must ad the mass, m, which the system is bringing from the past as an accelerated vortex of time, thus we have momentum. And this is what the present conserves in a more complex way, p.
p =mv can then be studied with the three arrows of time. m, is an accelerated mass vortex (strong principle of equivalence, mass is acceleration – not only the gravitational force is acceleration (einstein). So we talk then of two waves:
One in which a number of ps, mvs move extending itself as a point (motion lineal steady state), or dissolves as it moves, its information (wave dissolution), or reproduces its mv species as it expands (density reproductive wave). This final way will leave a surface of energy, it will be a reproductive wave of density of energy, and it will be the most complex of them.
Present then integrates p, as ½ p², and we conclude that the energy of a system is the total momentum of its world cycle.
energy is the integral so to speak of speed, or momentum. Speed is a present instant, ∂s/dt, the fourth dimension of time. As we discuss speed = s/t = s x ƒ(t) = K, and its integral along an entire worldcycle of existence or total sum of present actions = 0, we shall disentangle the meaning of mathematical, physical, biological and topological concepts of present speed and energy potential and factual world cycles.
A speed is thus an instantaneous derivative of present which allow us to perceive a system in an instant. This might mean to see it spread in a wave region of simultaneous present. Often this results in the perception of the entity in its point of balance or mass, reason why it is also useful to measure presents, the function of momentum, though one could also consider its decomposition in its relative past field – the motion and future form the particle. So present would be more the body wave of speed future, the scalar particle, present-future the momentum and energy by increasing the momentum with its integral of various solutions, will map out the whole field of the system, where the speed respect to the larger whole in a way is mediated by the membrane.
In that regard indefinite integrals of first order mapping out all the constants, give us a field, which in the case of complex numbers as in maldebrot can extend through the i-factor across scales of size but normally map out in a single ∆-scale, all the possible configurations of the field, while the F(x)=0 solution give us the likely point of the particle.
Width in mathematic: Cross product vectors.
Wide Energy in physics
Energy and momentum. Distinction between ∆st åctions and physical actions.
We explained already in the general moment that the ternary ‘scaling’ happens both in time and space, and so we talk of 3 levels, of ‘integration:
∑∑3±i åctions= ∑3 time arrows/cycles: physiological functions = 3±i Worldcycle of life and death (time duration/existence; history in time)
∑∑cells/atoms/citizens = ∑3 matter states/networks/systems= 3±i time§paœrganism (planet, ecosystem; Humanity in space).
And we shall see therefore not only structure of space in 3 scales of ‘size-population’, but parallel structures in time with 3 ‘length of cycles’.
How this works mathematically and with the parameters of physics and the symmetries it creates?
It has to be noticed first that we do not talk of the same concept when we refer to åctions or ‘drives of existence’ in ∆st and actions in physics as the concept of an action in physics is closer to that of a world cycle (the full timespace process), while in ∆st, in which we need to use more general terms with application to all stiences we use more the concept of an ‘event in time-space’, a minimal quanta measurable, in which a supœrganism ‘acts in the external world’.
Hence the need for a clarification.
In physics we translate the 3 scales for the being as momentum, which is our quanta of åctions, its integral which is the energy of the system… and finally the integral of energy in time, which is our world cycle (and in physics an action – another reason to use different ‘as’, å for the momentum, and a for the world cycle – we shall then to avoid confusions call it in physical articles a physical action and a momentum-åction).
Worldcycles in physics as zero-sums: lagrangian actions.
In Lagrangian and Hamiltonian physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived. It is a mathematical functional which takes the trajectory, path or history, of the system with different values for different paths. Action has the dimensions of energy x time or momentum x length, and it IS perhaps the most important element in physics as it is the world cycle in ∆st and both have as value a zero sum, in a closed conservative world cycle.
Why? Because the NEXT scale of time as a ‘sum’ of energy instants does not grow further, as energy is a present ST-ate of the being. And the whole integration through the whole life-death cycle (energy x time: physical action) is a zero sum, with 3 standing points, which are the changes between ages of the being.
So once we have integrated the momentum actions into the whole ‘time’ content of in-form-ation as energy, we do NOT obtain more than a scalar or a zero sum when we integrate over time again energy as energy is ‘conserved’ in its ‘present state.
We integrate the 3±i ages of the being or event, taking into account that the whole world cycle will be a zero sum.
And this is the Lagrangian ‘world cycle≈physical action’:
This can be summarized by Hamilton’s principle:
∫δ L dt=0
The time integral of the Lagrangian is another quantity called the action, defined as:
S=∫ L d t
This is THE preferred expression of the laws of Newton, as IT does not have to deal with the concept of ‘force’, nebulous in classic physics.
The concept of force in ∆st.
But for us is more telling to understand fully a force as the interaction of what physicists call an Active magnitude – a vortex of accelerated time of any scale, and a potential – an ∆-1 field destroyed into entropy to provide motion to the ‘ever consuming accelerated time vortex’.
THUS A FORCE is a double ∆-tƒ parameter, f=m (accelerated vortex of mass) x a (acceleration).
Force is important and we shall explain it in the section on mechanics, but for the time being we shall say what is evident:
‘A force is an ∆+1: tƒ< ∆-1:$p-otential state, in which the vortex of accelerated time provokes the entropy of a potential and absorbs its expanding space to ad it to its total mass-energy supœrganism.’
THAT IS WHY FORCES ARE SO IMPORTANT IN PHYSICS BECAUSE THEY REPRESENT ONE OF THE 3 BASIC TIME ARROWS THAT FUEL THE FUTURE accelerated vortex (being the other two, the inverse of a force, where the mass devolves into the potential) and the stable present state.
Thus, instead of thinking about particles accelerating in response to applied forces, one might think of them picking out the path with a stationary action, with the end points of the path in configuration space held fixed at the initial and final times. Hamilton’s principle is the principle of least action – the idea of finding the shortest path a particle can follow subject to a force solved by Leibniz… and as usual after Leibniz by Newton the following year saying again as in calculus that he was thinking long ago in variational calculus, but did not publish. Oh, my friend how harsh is mankind on his true genius when they just do thought experiments as opposed to the ambitious mediocrities that have power and make weapons.
NOW, HERE IS THE CONUNDRUM: How the particle finds its minimal time path on advance? This only Feynman worked out and wondered with no final result, because it implies that the particle knows where it is going – the end constrain of its trajectory and moves, stops, gauges, moves, stops, gauge to find the least time consuming trajectory as we would do if WE PERCEIVE=GAUGE INFORMATION.
So all the maths of modern mechanics based in that principle, in Lagrangian and Hamiltonians confirm two facts basic to ∆st, which is NOT SHY, egocentered, as if only humans perceive, to explain the reasons: the world cycle (Lagrangians, actions) as a zero sum, and the sentient perceptive state of the particle, which stops to gauge and correct in ‘derivative’ steps, the REAL meaning of each of those derivatives of momentum.
Alas, derivatives, stop and go perception and the most important equations of mathematical physics are all related.
And so if we want to manipulate further energy equations for a ‘time duration’ of a world cycle or least time path, we enter into the analysis of Hamiltonians and Lagrangian formulations; which might be expressed:
A) Only as energy. THEN THEY ARE time independent (Hamiltonians of energy as in Schrodinger’s equation).
B) tend to zero sums in time or at least to the minimal time consumption as it does the whole world cycle for Lagrangian derivatives that return us to the momentum steps, which tends to minimise for each ‘action’ the consumption of the lifetime of the whole being (principle of least action).
So we have illuminated and encased within the ‘laws of ∆st’ the most important equations of physics.
And it is easy to see that wen dealing with frequencies we can do the same with fourier transform the other ‘monster equation’ predating all the physics of time/frequency waves (the other present state). There again the Fourier transform ‘ads faster, multiple quanta of frequency, information’ and makes a whole, the bigger wave, and the beauty of it is that we can ‘decompose’ the whole into parts and ‘rescue’ the time frequencies that are faster in beat and come together to emerge as a whole.
As this is very standard math, we shall as usual merely ‘quote’ equations or bring them when they are very simple, on line with the purpose of the second line, which IS THAT ANYONE WHO HAS UNDERSTOOD THE CONCEPTUAL elements without more than high school physics/maths can get it all.
What here matters of the fourier transform IS the fact that we have resolved a KEY ELEMENT OF ALL ∆-§calar analysis: HOW BY RESONANCES AND MIXING AND SUPERPOSITION AND HERDING, A NEW WHOLE EMERGES FROM A SERIES OF ‘SYNCHRONIZED’ SMALLER PARTS.
And we shall return to it ‘a lot’ as this is indeed a key question in all sciences – the reasons and processes of emergence of whole new scales and parameters.
So here we have to ways of emerge, in time, through the merging of faster beat/frequencies and the whole science of synchronicity behind it that applies in all sciences: i.e. a moon cycle of the larger whole is synchronous to the woman’s menses. And we have studied how in space-time åctions integrate into momentum, which integrate into worldcycles.
CONSERVATION LAWS OF REPRODUCTIVE PRESENTS.
THE 3 CONSERVATION LAWS CORRESPOND TO THE 3 PARTS OF THE BEING.
Tƒ-conservation. Another view on those Universal constants is as parameters of the 3 sub-elements of the four elements of all systems, which also means each of those parameters will act according to the inversion laws and symmetries of the fractal generator in different roles.
I.e. c-speed is the speed of reproduction of information within the galaxy, but it is the ‘circular membrane’ or time clock of black holes and dark, quark matter; and it is also the body-wave of the hc planckton super organisms of light and its is the basic bit of information of electronic mechanical or life minds.
The multiple, ternary and quaternary (when including •mind-linguistic still-galileo-relativity paradoxes) method thus must reorder and give multiple meaning through the ‘rashomon effect’ to each variable and parameter, constant or ratio of physics, in its multiple roles.
Still each parameter will be dominant in one of its functions. And those are to measure ‘frequencies in time or populations in space – frequencies with a memorial longer duration; and we shall call those time parameters, which are mostly frequency, related, inverse to lineal time duration, t=1/ƒ; while there will be ‘quanta of energy-present space-time’ also acting as ratios and constants of each scale, and those are the h, k, c universal constants; which will also act as’ fixed’ units of ‘dead-memorial space’, when moving to a past state, as micro-points of larger scales.
So c-speed becomes also the ‘quanta-step’ of the dark world, the ultimate substrata over which it builds new forms.
$pe-conservation: It comes thus with the constancy of c-speed the inverse lineal momentum or Sp-conservation law.
However in ∆ST we need to transcend even those names of specific scales for the larger, purest topological description of the 3 elements of reality.
ST-conservation: Finally the third fundamental conservation law is that of the open ball energy component of the system (as seen in space) or world cycle zero sum (as seen in time).
We can though resume further those conservation laws in the simplest, most important of all equations of stience, recorded in my mind-point for decades
ALL THIS said the importance of ST-waves is multiple, and we shall here consider only two elements in certain depth, the laws of conservation of physics, which they explain with the Noether theorem, a mathematical abstraction that merely states that ‘each symmetry of nature means a conservation law’, and then gets into equations without any physicist able to explain you much of that cryptic sentence. We shall be more straightforward:
the Universe is a fractal that reproduces and hence conserves dynamically information, form in motion, momentum and its sum over a cyclical stretch of time, the integral of momentum called energy, which is never spent when the ‘time motion’ is a conservative closed cycle.
In other word the conservation principle tell us 2 fundamental things About nature:
- THAT MOTION IS CONSERVED as it is the substance of nature.
- And form is also conserved when the cyclical motion closes into itself in an energy ‘conservative cycle’ that moves but does not do work.
This simple logical, seemingly contradiction – that you can move and do work, but not spend ‘energy’ if you just go up and down a mountain or move a ton around the Earth back to the same point IS JUST TELLING US, the UNIVERSE CONSERVES TIME CYCLES, THE FORMAL, REPETITIVE MOTIONS that are the ultimate substance of Nature.
That is the core of all conservation laws: the conservation of reproduced information that seems to be the same, making a dynamic present to repeat its same formal motions and species. Conservation thus means reproductive motions. Point. Of course then if you are just doing esoteric interpretation of reality you can consider the Noether theory and connect ‘time cycles and energy conservation’ in more esoteric terms than those explained, and lineal momenta (a bit of a whole world cycle of energy-time) and conservation of space, made of open strings, lineal momenta, lineal inertia and any other way you want to ‘express’ in the kaleidoscope of languages and jargons something very simple: the universe conserves present reproduction of cyclical time motions in all its scales.
3 conservation laws: Energy ≈ 5th dimension; lineal momentum: open space; angular momentum: closed time.
PHYSICS, when trying to find the laws of conservation of the Universe found 2 laws, the law of conservation of angular momentum, which is a cyclical motion, self-centered into a point; and of lineal inertial motions – both minimal quanta of action of ‘motion and form’ (more form in angular momentum, more motion in lineal inertia). And its integrals in a closed cycle of energy.
The conservation of momentum is associated in quantum mechanics with the proposition that it makes no difference where you do the experiment, the results will always be the same. As independence in space has to do with the conservation of momentum, independence of time has to do with the conservation of energy.
And so we must deduce that there is NOT absolute space, as the location in space is completely independent on the result of an experiment. So all space is self-contained to the event of space-time and region affected by the experiment.
Then there is the conservation of time. If we turn our ‘experimental apparatus’ in a ‘time-like cycle’, this too makes no difference, and so the invariance of the world to angular orientation is related to the conservation of angular momentum; which means all worldcycles of time have a total zero-value, as they close into themselves in the same point.
So we found that the Universe conserves cyclical motions of time and lineal motions of space.
Then there is the conservation of Energy, which is roughly speaking the ‘integral sum of lineal and cyclical momentums’.
In quantum mechanics it turns out that the conservation of energy is very closely related to another important property of the world, things do not depend on the absolute time.
We can set up an experiment at a given moment and try it out, and then do the same experiment at a later moment, and it will behave in exactly the same way. From this we can deduce the principle of conservation of energy. It is a rather subtle and interesting thing, which can only have an explanation:
Absolute Time, duration, which integrates a series of lineal and cyclical motions, adding them to the extent of creating a new scale of the fifth dimension, IS FRACTAL. It does not exist as a continuous lineal infinite time in a single continuous space plane.
As such absolute time does not affect any event happening in time, which therefore is a self-contained process, a cycle related to the internal time of the event.
A Time cycle is therefore a closed, fractal cyclical proposition.
But we can add, integrate time cycles and that creates the illusion of absolute duration; and we can integrate space surfaces and that creates the illusion of absolute extension.
This is what Leibniz called relational space and relational time.
Leibniz would have said that ‘all substances are made of cyclical motions with different speeds = different clocks of time.’ And different vital spaces, fractal parts. And all together create the illusion of absolute space and absolute time.
But we can ad a third element, the ‘Integral of spaces and times’, which give us the concept of Energy, similar to that of a 5th dimension integral. So on the regions of reality where we can conserve Energy, we are observing a process of scalar, social growth of elements of the 5th dimension. And this gives us the fundamental equations for each scale of physical systems, which are the equations of energy for each of those scales:
E∆-1=hƒ for the quantum ∆-1 scale, Eo= RT for the scale of thermodynamics, and E∆1=1/2 mv2 with the limit E=mc2 for the gravitational scale.
Whereas as we can observe, a given Plane of the 5th dimension conserves a ‘constant of bidimensional space’ (h, k, m) and a different speed of time cycles, (ƒ, T, v).
We can study then the interaction of those 3 elements, how they transform into each other through the ‘frontiers’ between those 3 scales, and what it means the different combinations of those formula, specifically the one that defines each constant:
H = E x T, R (or n k) = E / T and m = E/c2
In this form they represent the constant of action of energy and Time of each of the 3 scales akin to the co-invariant law of the 5th dimension. It simply means that in each scale of the 5th dimension there is a certain constant ‘rod of measure of space and time that varies (never mind here that we, humans use for certain measures of time, the frequency, and for others the period: T=1/ƒ).
The enormous field open by the study of the 3 scales of the Universe, its constants of space-time, its time frequency clocks and its 5 Dimensional growth in social scales of energy, is a huge field, which we cannot ‘attack’ in this post further.
Clarifications on conservation quantities, states and magnitudes.
The previous example shows the problems of translating all those terminologies to T.Œ are due to the use of very different jargons and parameters for each scale. We have introduced the simplest translations of the ∆-1 into the ∆+1 scales in the previous post (Unification equation of charges and masses). Yet it will be easier to use in this introductory level the common jargons of those sciences, merely identifying the previous space, time 5D symmetries and its constant of actions and 5 space-time cycles for each species of each scale.
Needless to say within the previous isomorphisms, we can fit all the disciplines of physical sciences; whose exhaustive analysis of all the actions, species, space-time symmetries (equations) and events in time, between the n-1 scale (quantum physics, electrodynamics, magnetism) and the n-scale (thermodynamics, state physics, electricity) makes physics & chemistry, when NOT trying to make metaphysics (cosmological, eschatological and philosophical statements), the most thoroughly investigated science today.
We will follow the isomorphic method, studying those 2 scales not with the usual procedure of physical and chemical sciences, which define the events of those actions and its structure in space and time with mathematical equations, but with the procedure of T.Œ, considering the 1) 5D scales, 2) space and 3) time symmetries first, its elements and finally its 4) actions, introducing within that scheme the definitions of the parameters, constants, magnitudes, dimensions and equations of mathematical physics.
Now, unlike more evident ‘scales’ in which form dominates motion (Evolution) or thought (memes) dominates from and motion (sociology), closer to the human experience, the world of physical systems, is the most remote to that experience, and its language (mathematics) the less known to humans, which move on the natural languages of human thought (visual art, verbal time, emotional bondages), and understand as animals, the survival, topological forms of life. For that reason we would need a basic introduction to the interplay of this wider reality expressed in abstract terminologies that seem so remote from the bio-sociological experience.
They are not. As all beings are knots of space-time cyclical actions, whose purpose is survival. The program of the Universe is hidden on physical systems by the remoteness of its scales, the abstraction of its description and the immensity of its elements. So we shall do an introduction to the interplay and co-existence of the 3 scales of reality, the electromagnetic scale, the thermodynamic and the gravitational scale. We exclude though the limits beyond those scales, the quarks inside the atoms and the galaxy beyond the planet, because they do not truly interact in this world of human existence.
The 5th dimension has barriers between planes of existence, where energy and information don’t cross, due to entropy and asymmetry (chirality); and essentially our world is one of light, electrons, atoms, molecules and matter states.
The similarities between the internal ‘strong forces’ of the atom and the internal gravitational forces of the galaxy, the external electromagnetic forces of the atom, and the external dark energy of the cosmos are studied also with physical laws, but will not be included here.
A question also of difficult analysis is the 3 units of action, of those 3 scales, the angular momentum of h-Planck actions, the vibrational temperature of thermodynamics, and the variable g-forces of gravitation. Those constant of actions seem truly different in its form and equations but the concept of integrative ‘energy’, will allow us to explain how energy and information transfers among those planes.
Finally the order of exposition will be a diachronic analysis, which works better, as the human mind seems to be structure in this manner. So I have abandoned my personal files, which are always written with an analogical, metaphoric method jumping synchronically between all systems of all scales, in spatial order.
Thus we shall analyze in the order in which humans discovered those scales, starting from the science of Mechanics, or higher gravitational scale (XVII and XVIII c.) then the science of Thermodynamics, or human scale (XVIII-XIX c.) and finally the science of electromagnetism and its minimal units (quantum scale).
We will in each scale introduce the spatial and temporal order of the 3 time-space elements of the generator equation (Se<ST>Tƒ), intersecting laws and cases of classic physics, but given the difficulty to understand directly those elements (unlike in biological and sociological forms), introduce a somewhat intermediate exposition but directly ‘downloading’ and interpreting the known-known laws of those systems. Hence the sub-posts entitled ‘mechanics’, ‘Newtonian laws, ‘Maxwell equations’, ‘quantum numbers’, ‘Conservation Laws’ etc. In an ideal world in which T.Œ is the Unification theory of all sciences, those terms would not be used, but at this stage we must translate those well-known laws to the elements of T.Œ.
Now all this SIMPLE REALITY is GREATLY complicated in physics by the multiple jargons, lack of TOE, denial of non quantitative properties and multiplicity of mathematical formalisms for all of those elements of T.Œ, for example, the concept of mass, which we simply as gravitational vortices, has the formalism of Higgs, particle with its negative masses, ad hoc additions, but essentially right; as it is a top quark (in the similar Technicolor more correct formulation) field of dark energy and faster than c-rotational speed, beyond the even horizon of the accelerated black hole vortices.
There is however an even more interesting formulation that general relativity, the Higgs field and Technicolor, which is the dick-brane theory of a variable G-constant, which can be used to define the different scalar vortices of the different planes of physical systems (charges, atomic molecules, gravitational light-space confined to galaxies and c-speed and outer dark energy cosmological structures).
Time permitted we shall then choose a formalism that better adapts to 5D planes for all its physical scales in the 4th line. Here we just mention the extraordinary difficulties to fully integrate all those different jargons, and the different formalisms within each scalar jargon and the astounding number of details studied by physicists.
So now let us continue with this post, an the minimal clarifications, on physical concepts, magnitudes and constants to be able to carry a meaningful analysis of the 3 spatial, temporal, 5 D symmetries and Œ-points of those fundamental 3+1 scales, which affect life on this planet (the rest being cosmological analysis in the previous posts).
Now those are the ‘practical’ constants to develop physics as it is; no homogenized by T.Œ formalism. So we must do a few important clarifications. Any system can be well defined, considering its 5D planes and its space and time symmetries and space-time actions, which range from the minimal unit of its simpler ∆a actions, to the larger, longer ∆u social actions.
Yet the lack of a proper definition of:
- Tƒ: Cyclical time in physics (measured sometimes with frequency – light scale; with lineal time; mechanic scale; with temperature, molecular scale; and so on)…
- Sp: Vital space, measured sometimes with: wavelength – light scale; with flux current, electric scale; with entropy, molecular scale; with length, mechanic scale.
- ST: Present, body-wave, measured sometimes with Energy, sometimes with Momentum, sometimes with Intensity, and so on..
Requires a one-to-one analysis of each scale and species.
Further on the Human scale or thermodynamic scale is the one according to epistemology, with less uncertainty of data. It means in practical terms that we do have a ternary fractal subdivision in great detail of our scale in 3 sub-scales:
- The electric scale with the electron and its social, ∑e=I, currents of electricity, ruled by photonic bondage.
- The atomic scale with the atom and its social ∑a=molecular structures, ruled by electronic bondage
- The Matter scale with its molecules and its temporal states, ruled by temperature gradients.
So we are in fact talking of 2+1 (x3) relative scales, to study in great detail. So many elements, so many ill-defined concepts, and yet surprisingly enough, so well-done ‘how-mathematical descriptions’ of its ∆a, motion actions…
All in all the main equations of the 3 scales, define its energy, its constant of action and its acceleration. What those terms mean? And how they transfer into those 3 scales?
Let us consider it from a different perspective. There are 3 magnitudes to define all mechanical actions:
Tƒ: ‘mass’, the active magnitude, similar to charge, the active magnitude of the ∆ scale, similar to h, the active magnitude of the n-1 scale.
Se: Time, defined by frequency in ∆-1, by the electromagnetic field in n and by the acceleration in the ∆+1
And ST, defined by Energy in n-1 and by force in n and ∆+1.
And it is this ST factor what transfers between scales.
ENERGY IN TIME, SPACE AND ∆-SCALES
To put some order in the complex universe of ∆º±ST systems, the best procedure is to define first its 3 terms ‘ceteris paribus:
Its ‘space-entropy’, ‘time-information’ & space-time=energy components across its different ∆- stientific scales.
Those 3 ‘fundamental concepts’ are ternary since the trinity principle also applies to dimensions. Important to notice though that present energy combines dimensions of space and time – so it is by definition bi-dimensional or 4-Dimensional in a more complex view, when we define the singularity point adding to it a height dimension along the scalar Universe where it hides its information and when we ad to the cyclical time membrane, the dimension of curvature≈speed of time cycles to complete its description.
So we have a simplified version:
1 Tiƒ singularity + 1 π-dimension of the membrane perimeter = 2 Dimensional space-time energy open ball.
2 Tiƒ singularity dimensions (point and 5D scalar existence as a whole) + 2 dimensions of membrane =4D vital space-time energy
In that regard, MOMENTUM is the vital iterative inner volume of the being or Present Space≈time put together:
‘MOMENTUM=PRESENT=ST=Ø=MOTION WITH FORM=BODY-WAVE-WORKING CLASS (3 sub-stientific fields).
Body-waves-working classes are thus the 3 st-present ‘energetic components of an organic system.
Lagrangians of present-action vs. energy world cycles.
There is then the formulation of those laws in terms of energy. And so we shall make a Huge statement that responds to the whys of most physics:
‘A Lagrangian function is a an action of time and its Integral a full zero-sum world cycle of time of a physical motion-system; a Hamiltonian is its configuration as a ternary system of 3 organic topologies in Space’.
We have explained that energy is essentially a measure of the space-time content of the system in terms of present – that is, in a single space-time plane, between pure information seed ∆-1 to which the system returns, as pure entropy ∆-1 at the end of the cycle, the word cycle or ‘the conservative energy cycle’ becoming thus a zero sum and so ‘conservative Energy cycles and world cycles must equal to zero’.
And that is precisely the formulation of a motion in physical systems in terms of energy:
So we have through lagrangians and hamiltonians an easy understanding of what is a world cycle in physics.
What is their difference? One of derivatives; which represent for any quantity its ‘finitesimal quanta in a lower ∆-1 dimension’, in the case of motion a finitesimal step of the whorls cycle (and inversely an integral represents its total path, or sum of steps to reach the whole zero sum of the world cycle).
It follows that the Hamiltonian is the definition of a worldcycle of a physical system, time independent in as much as it covers the whole world cycle, as in the case of the Schrodinger time independent equation, shown above, and it must therefore enclose the past-present-future states of the system, as a whole:
But a ‘quantum system’ does have a world cycle much faster than one of our scale (5D metrics: Min. Spe = Max. Tif). Thus we must find a way to express it for multiple consecutive world cycles and that is where the ‘imaginary’ function, of eˆi comes so handy, if H is independent of time, (meaning we represent whole world cycles from ‘here to eternity’:
Hamiltonian and lagrangian mechanics.
It also follows that Hamiltonians, being whole cycle analysis (often a vibration between the potential, future and kinetic, past state, through a point of present balance) will be simpler to resolve in terms of differentials, and indeed, Hamilton’s equations consist of 2n first-order differential equations, while Lagrange’s equations consist of n second-order equations (As a second derivative will gives us a ‘minimal action’ of the system.)
If we define speed as v=s/t= λ ƒ in terms of lineal and cyclical time, as the minimal quantity of present information of a system, it follows that Hamiltonians will ad a new dimension to calculate the whole world cycle in ∆º±1, being that dimension in physical systems the accelerated vortex or ‘gravitational potential sink’ of time≈mass, which the system possess ‘perpendicularly’ across its ∆±1 dimension. And so instead of v, speed (the minimal present parameter in one ∆-scale) we have mv, momentum.
Hamiltonian mechanics thus aim to replace the generalized velocity variables of the Lagrangian, with generalized momentum variables, also known as conjugate momenta, giving more information about the total ∆º±1 world cycle of the physical system.
So instead of forces, Lagrangian mechanics uses the energies in the system. The non-relativistic Lagrangian for a system of particles can be defined by:
And if we apply the principle of ‘balance’ according to which a world cycle or an action tends to balance past (kinetic energy here) and future (potential energy) such as T-V->0, which is call an stationary action. So the Lagrangian follows immediately:
As the system evolves, q traces a path through configuration space. The path taken by the system has a stationary action (δS = 0) under small changes in the configuration of the system (δq). So we obtain, equaling T-V to 0 at each instant of time:
Which obviously only works for ‘present-worldcycle paths’, or ‘conservative ones’ in the jargon of classic physics.
And this will be of course a rule for all kind of physical equations, which become regular, ordered, deterministic when they represent a full world cycle through its 3 stationary points of ‘ages’, constrained to the finite space-time domain of existence of the being.
This can be summarized by Hamilton’s principle:
Which is the definition of a minimal step of motion of a physical system, also called principle of least action, which simply means, we try to conserve our energy=total time duration of existence, minimising our expenditure of it, and so it applies to all beings of all scales of reality.
In that regard while Newton’s laws can be also derived from the ternary structure of the Universe, the Lagrangian and Hamiltonians give us a more clear connection with the meaning of a zero-sum worldcycle.
Indeed, in Lagrangians we talk more on TERMS Of past Kinetic Energy transforming back and forth into future, Potential energy, which IS a TIME-STORAGE OF FORM:
Potential energy trans/forms kinetic energy into fixed form/position, as a FORM OF cyclical TIME.
Noether’s theorem is now more clear, as it states that every differentiable=present symmetry of the action of a physical system has a corresponding conservation law. That is, the integral over time of a Lagrangian function (which may have a space-symmetry as an integral over space of a Lagrangian density function), from which the system’s behavior can be determined by the principle of least action (minimal time used on it) is zero and as such the total momentum action and energy of the Universe is conserved in an eternal present of different ‘durations’ – larger for the total energy of the world cycle, minimal for the action of least time, with its tail of past accelerated mass added in momentum
Yet, constants of motion do not apply to systems that cannot be modeled with a Lagrangian: that is, entropic, Spe dissipative systems do not have a corresponding conservation law, as they erase information, increasing the disorder of the Universe, compensated though by the growth of order effected by singularities, which ad on (or multiply depending on event studied and law of balance considered) to maintain its sum/product, a present, unchanged.
The case of least time: Fermat light principle>Broglie>Bohm>entanglement>relativity
And it was first expressed by fellow countryman Fermat: “light travels between two given points along the path of shortest time,” which is known as the principle of least time. And ultimately shows that the Universe is about time world cycles, not space distances. Since systems choose the ‘time-distance’ between two points, as you would rather take a highway with longer space if it takes you faster than a straight, 3rd class slow road.
How do then light ‘knows’ the shorter time distance? This means as you can ‘see’ and judge the path, light MUST have an ‘action at distance’ form to obtain from the photon-particle p.o.v. information to guide it, and this is the neutrino theory of light, analysed in our cosmological articles, by De broglie with enormous consequence to reformulate general relativity and quantum physics in terms of ‘classic reality’:
A particle connects through a neutrino with another particle, entangling itself with it at the ∆-i gravitational scale that we do not see (hence v=s/t=s/o information = ∞) to which it directs after locking a second neutrino back and forth, giving origin to Broglie’s neutrino theory of light, which emerges from the entropy of the ∆-1 quantum field (hence it explains also Bohm’s theory).
And it follows next that as both particles are entangled, they do NOT ad speeds of c-light, so we do NOT need relativity (we do from the human non-entangled perception of that scale, but from the 2 electrons or human electronic measure machine, there is 0 relative speed between both entangled particles).
Thus we can offer a realist explanation of all the measure quantum and relativity ‘spooky effects’, if we just want to know how at the electron scale, the world will seem for the electron – no spooky, no relativity effects at all.
We are not electrons though so for measure at this scale we do see spooky effects and time dilations, space shortenings etc.
REPRODUCTIVE WAVES ≈ Te x Si
PRESENT is THE DOMINANT ARROW IN WHICH the entropic past and the informative future, act as limits of existence, where existence does no longer happen for that specific local variation of the time-space arrows.
All the laws of conservation of physics (energy, momentum, etc.) are in fact expressions of the most general law of a constant reproductive Universe, where systems reproduce the same forms once and again, as even simple motion is reproduction.
Motion as reproduction of information along the path of a wave.
The Universe reproduces information and it tries to do a perfect replica, and this is the origin of the conservation of present energy, as all systems combine motion=entropy and dimensional form. Yet when the system has too much form and no motion as time never stops it reverses its ‘arrow of time’ and in a single quanta explodes and erases all information, in an entropic big-bang.
So finally all is a zero-sum: entropy=motion is used to reproduce information, and evolves till the dominant arrow of information – call it a galaxy vortex, a technological planet, an ageing human, a species evolving through horizons, warps all the fields of entropy into information. In physical space-time ‘time curves space into masses (Einstein)’: vortices of charges in lower scales, thermodynamic eddies and crystals in our scale and masses in the cosmological scales.
Thus the overwhelming purpose of the Universe is to maintain, conserve and repeat the ‘momentum’ that combines entropy-motion and vortex of information (charges and masses), of its beings, and its integral through time – or energy conserved in all systems of nature. Present reproductive energy is what the Fractal super organism of the Universe preserves.
For those skeptical readers, in simple terms, a mathematical fractal is defined by a generator equation, which ‘constantly iterates’, reproducing its form in different scales of reality. And this is exactly what nature does. And the fractal generator of 5D3 written above, to express the ternary topologies of all beings, through its 3 time ages, and co-existing 3 organic scales, is exactly that sought after centuries ‘formula which physicsts’ believe will conceptually resume all space-time events for all fractal beings.
Alas, there you have it a ‘simple fractal generator of 3 x 3 scales, topologies and ages of time’ define all systems of reality as parts or wholes of a super organism in a perfect, infinite, immortal ever balanced between entropy and information, to produce energy cycles, zero sum reality.
So take your pick: do you like what i just told you in a few pages – the 5D3 FORMALISM that describes REALITY AS IT IS in all its beauty and complexity, infinity and variety, including you.
So i state that the universe reproduces information; they say the Universe is about motion. Alas, I state then motion is just reproduction of ‘simpler information’ at faster speed.
Indeed, it is evident that all biological systems are about reproduction of genetic form in a lower scale of reality (cellular scale), which then reproduces and evolves, ’emerging’ into a higher scale. It is also evident that our historic civilisations are about reproduction of technological information in a lower ‘dimensional scale’ (blue prints for machines), which then ‘company-mothers’ reproduce.
So the big question left to answer is about physical systems, which are supposed to be about ‘motion’.
You might have heard an important insight of modern physics on the meaning of the limit of c-speed. Nothing can in this lolca part of the Universe – the galaxy – faster than light. There are many angles to study this important issue but now we are interested in the concept that this c-light speed is the limit of reproduction of information as the wave of light imprints vacuum space with its frequency and form.
Speeds of reproduction
It is then when we can unify conceptually all waves being aware that we can do different S=T dimensional analysis, giving us different speeds of reproduction ‘formulae’ according to the detail and number of ‘reproductive S=T’ parameters we use. And the focus on the ‘speed of the outer membrane’ (phase velocity) or ‘wave-speed proper’ and the speed of the inner singularity, which as it has more information will be slower (group velocity), such as:
wave velocity > (both bigger and shrinking-informative arrow) group-singularity – velocity.
This general law thus applies to all wave-present states and as usual can be applied no longer in topological terms to ‘herds-states’ of any scale; even if it seems in principle contradictory, that a smaller ‘group-singularity’ takes longer. But what matters is the quantity of information and ‘network’ position of the singularity-mind-still whole. I.e. in an army the commander tends to move behind the soldiers, as it is the static, informative and key element protected, by the same law, no longer topological in its easy deduction.
It is though the group wave that carries most of the information/form/frequency patterns of the system, as the singularity general does.
Since a pure sine wave cannot convey any information. So some change in amplitude or frequency, known as modulation, is required. By combining two sines with slightly different frequencies and wavelengths, then we start to build up that inner modulation of the group.
It is this modulation that represents the signal content. Since each amplitude envelope contains a group of internal waves, this speed is usually called the group velocity, Vg.
The general formula of the wave-velocity then becomes self-evident, in terms of reproduction of information, no longer v=s/t which gives no information as v= wavelength (S-quanta) x ƒ (frequency); which gives us the reproduced element (the S-quanta) and the temporal frequency of its reproduction.
And it is then when we can apply the ‘rashomon effect’ and its different views to express this lineal wave (S-view) as an angular wave (t-view):
v= w (angular frequency)/k (wave number).
Whereas the wave propagates faster when higher frequency oscillations are distributed less densely in space. So the fundamental concept behind the speed of waves – maximal information = minimal speed is conserved.
But the view we have now can be considered the polar view of the singularity which harmonically vibrates up and down to produce the wave, establishing the first synchronicity of all systems between the ‘singularity’ vibrating in the height dimension of information and its membrane rotating in a balanced steady state.
This expresses mathematically with derivatives, which always represent an ∆+1 condensation of information, hence the preferred method to extract a Tƒ parameter, so in general, the phase velocity is Vp = ω/k and the group velocity Vg = dω/dk.
But this kind of waves, are indeed, waves of reproduction over a lower medium of a minimal information; where we can ‘split’ the dimensions of the wave-information and the ‘medium’, so we only need a 2 Dimensional v= s x ð = s/t analysis.
It is of more interest, and closer to the essential reproductive motion – that of a light wave to consider the ‘motion of information’ in a fixed string, whereas we cannot ‘differentiate’ the string inner properties (mass, which plays here the role of the informative singularity; and tension, which is the force exerted on the extremes of the string and hence play the role of the ‘constrains’ of the wave-phase-membrane).
So the same conceptual equation of speed of reproduction is built now with the parameters of mass-information and tension-external membrane, which gives us the equation of all ‘waves’ within the intrinsic properties of the material. Therefore speed will have to be written with more dimensions – in fact as a bidimensional transformation which affects in an more extensive deeper sense the system:
v² = tension (outer parameter ≈membrane constrains)/ mass-density (inner parameter)
And so once we localise for each ‘substance’ the parameters of tension in space and density of information (wave-group, membrane-singularity, etc.) we get always the same equation. 3 canonical samples suffice:
The square speed of a transverse wave traveling along a vibrating string ( v ²) is directly proportional to the tension of the string ( T ) over the linear mass density ( μ ):
v²= T/ μ
where the linear density μ is the mass per unit length of the string.
Acoustic or sound waves travel at speed given by:
v²= B/ ρ
which are called the adiabatic bulk modulus divided by the ambient fluid density.
And so finally we return to the light wave:
c²= 4π k/µ
Which clarifies (as Maxwell first thought) the meaning of k (being ε, its inverse, used by physicists with little conceptual ‘why’ interest, completely misleading) – the tension/curvature of light space-time and its ‘denser’ electronic nebulae (charge constant) and µ, the informative, magnetic ‘density’ (the equivalent of mass in larger scales, of spin in lower ones) of light space-time.
All changes indeed in different ‘mediums’ and ‘planes’ to remain the same.
Tension then is obviously a ‘dual force’ exerted to ‘expand the space’ of a physical system, hence directly related to entropic motion (Galilean paradox), and magnetic constants appears then as the potential ‘density of information’ which can be written as patterns of form and order in light space-time. All this concepts will enrich our analysis of electromagnetism in the more specific posts on the theme.
Why then the speed of light does not change with those parameters, is also studied everywhere: motion is in wave state, particles are in relative stop to each other entangled through the quantum potential field and hence they do not move related to each other, so happens to our electronic eyes or metal eyes of measure. To account for that stopping in the quantum scale not perceived in our larger scale we do need to establish for translating stop into motion the Lorentz Transformations and the extraordinarily confuse jargon of modern relativity which hides a rather simple ‘galilean paradox’ of particle-stop vs. wave-motion/reproduction of information in space…
Wide bodies in biology.