Are laws or physics entirely arbitrarian, or in which extent can we deduce them from the theory of the logical self-generation process? Said otherwise, does this theory pose constrains on the possible laws of physics? And if yes, until when does this allow to deduce the laws of physics?
The main laws of physics are absolute conservation laws: of energy, mass, charge, motion, etc. But also, the constants of physics and the laws of physics never change. This would be a direct logical consequence of the rule 5 seen in chapter III-3: in a system of logical implication, once solved the founding paradoxes, then each logical implication is strictly determined. Clearly, once created into a first implication, the laws of physics reproduce identically at each of the following implication, up to the infinite. And this obviously implies that the constants of physics do not change. This is obviously also true for the quantities they handle. For instance, the electric charge of a system remains constant, and the creation or destruction of charge is automatically accompanied with the creation or destruction of an opposite charge. These constraints have an infinite force, as any logical constraint, to the extent that charge and anticharge can be created or anihilate only in the same quantum event.
We could wonder, after chapter IV-5, why the nib has this «form»?
It is because, if it had no such relativistic properties, there would be no gravity. Gravitation is not a «field» like the electric field, but deformation of space. Deformation too small to be visible to our eyes, but enough to attract our bodies toward the ground. Relativity and Gravitation are linked. Without relativity, there would be no gravity.
We can wonders what would happen in a world without gravity. If our universe had no gravity, but all things otherwise equal, it would be now filled uniformly with a gas of hydrogen and helium at very low pressure and cold temperatures. No sun and no star to light up this dizzying vacuum, or to create the other elements required for forming planets and allow for the emergence of life. Instead, an eternal billiards of neutral atoms, colliding indefinitely without ever organizing together. Such worlds are logically possible, so they probably exist, at least as logical objects. But it is clear that no body allows to incarnate into them.
So we can say that the law of gravitation is anthropic (chapter IV-6). Gravity being a consequence of Relativity (especially of the Minkowski space), thus the later is also essential for the emergence of life. Relativity is also anthropic. Non-relativistic universes, such as series in sets of trinomials, really have three dimensions much looking like our own. However they are not Minkowski space, so they are not relativistic. And so, without gravitation, they do not allow for the emergence of life.
We can still assume that there are other solutions than gravitation to bring matter to clump together, interact and evolve enough to give life. But the relativistic universe, with its gravity, seems the easiest way to achieve this. The case should not be so easy, because even in our universe, only a tiny proportion of the total matter is effectively under the right conditions to give life. So, more complex solutions are even more unlikely.
We said repeatedly here, in previous chapters, that the particles always remain in the three-dimensional space, with a perfect precision. Actually no, because at small scale, space is rough, bumpy. The Heisenberg uncertainty also allow particles to exist for a short time, when they should not. They also allow for fluctuations of space to exist. Thus, in this bumpy space, the particles are not ideally into the three dimensions. The difference is certainly small, but it is observable.
Why is it this way?
Let us compare with a gas: although this gas is formed of a large number of molecules moving in every directions, the gas has an uniform average temperature, uniform pressure, uniform density, etc. The comparison is of course with our vacuum formed of virtual particles which in average stay very close to our three-dimensional space. However, the gas behaves in this way because the particles exchange energy with each other, which leads to an averaging effect. But there is nothing similar with the nibs.
This suggests that gathering into a three-dimensional space is an intrinsic property of nibs... like for the trinomials, which cannot exist out of their three dimensional set structure. Or it would be a consequence of their «form». However, we can also assume the existence of a «shepherd process» bringing back the particles in our three-dimensional space, as soon as they move at a short distance. Such a mechanism could be a logical feedback, as discussed in chapter IV-6: from an immeasurable number of evolution opportunities of our universe, only one is consistent (with three dimensions), so that this one would be selected. Temporary differences (Heisenberg uncertainty, rough space) would not be an issue, but larger discrepencies would lead to inconsistencies, such as the disappearance of matter and charges into other dimensions. Thus, any departure from the norm would be quickly corrected. In this case, it is remarkable that something so abstract as a logical feedback could have such a force, and act tirelessly for countless times, as to be one of the most powerful actors of physics. But it is not a wonder, if our universe is formed of logical elements. In its field, logic has an infinite force, and it never wears out.
The physicists use to say that vacuum has properties, such as the speed of light, the constants of physics, etc. This implies that vacuum would be «something», a «rubber membrane», or even an «aether», which this time was cautiously given relativistic properties, not to be caught again by Michelson and Morley. And regardless of how this aether would be squashed by the equations of Einstein.
In fact, we really saw in chapter IV-4 that the nibs generate space, and even the relativistic space-time. In doing so, they necessarily do in a specified way, always the same. We saw for instance that the limit of the speed of light, and this speed itself, is generated by the angle (in the Minkowski space) where each nib «sees» the previous. We can rely on the same principle to explain all the other constants, gravitation, electric field, etc.
Thus, not only space is the structure (in the meaning of the Sets Theory) of the whole sets of nibs, but in more, these nibs confer it properties, such as being relativistic, to be traversed by electric fields, magnetic fields, weak or strong fields etc. in proportions determined by physical constants such as the permittivity of vacuum.
So, all the complexity of our world goes to the nibs, and how they connect, instead of an hypothetical «aether». But after all, it is much more simple in this way, to have only nibs, rather than assuming nibs more a continuum.
And when we try to measure the properties of vacuum, our measuring instrument shows in facts the properties of the nibs of which this instrument is itself made. It is remarkable that we actually always find the same result, even if we build another device.
And space is really an «abstract» property, which exists only as a convenient way to describe the interactions between nibs.
Nuclear reactions are in principle symmetrical, for instance always giving the same amount of matter and antimatter. There are however a few violations of symmetry, such as with the decay of kaons (unstable particles formed of two quarks), which gives a little more often a particle than an anti-particle. Today, such phenomena occur only in the laboratory, but shortly after the Big Bang, at a time where all kinds of particle existed in equilibrium, this deviation could favour matter over antimatter matter, explaining that only it exists today.
Such a violation of symmetry is still a mystery for physics. Even for the theory of the logical self-generation, it requires that the founder nib was created with this arbitrary property, by the simple play of the creative absurdity, without external cause. This problem can also be discussed into the frame of the anthropic principle (chapter IV-6). There is however an experimental evidence toward the creative absurdity producing an arbitrary deviation: observation in the laboratory of violations of varying amplitudes, into a quark-gluon plasma. Here appear «domains» with each a different physics! Thus, the same causes resulting into the same effects, physicists managed to get close enough of the Big Bang to observe the creation of a law of physics! However this law has little influence in practice, and anyway these domains disappear when the quark-gluon plasma cools off to ordinary matter.
However there is an hypothesis where this violation of symmetry would be explained in a simple and logical way, that we saw in chapter IV-5, under the title «an elegant explanation of the gravitational field». In this hypothesis, the gravitational field, and the associated deformation of space, is not transmitted like the other fields, but as waves in the front of reification of the logical self-generation system. (at need, this front of reification would be the work of virtual particles, such as for instance the famous Higgs bosons). Thus, mass would be explained by deformation of this front, which is also the relativistic curvature of the space around this mass. Other types of charges could also be explained by other kinds of deformations of this front.
These waves of deformation of the front of reification have symmetrical properties, whether they are ahead or behind the general average. Different types of waves would then correspond to different types of charges. For instance, an advance would correspond to a particle, and a lateness to an anti-particle. However, it is well known that when a wave takes a certain magnitude, its form is no more symmetrical (between the top and the bottom) (in physics, it is said that it appears nonlinear phenomena). Then a similar phenomenon on a front of reification may favor the particle over the anti-particule, or more generally the violations of symmetries in the weak interaction.
An evidence toward the interpretation of the properties of particles as geometric position of the nib into the Minkowski space, is that the kaons, while violating the matter-antimatter symmetry, also violate in the same proportions the left-right symmetry.
The previous reasoning allowed to find back some of the most bizarre properties of photons and vacuum.
My intuition commands me to look forward into this direction. It may only miss only one item, to end connecting this part to known physics. We shall already see, in the next chapter IV-8, some encouraging results, such as to predict two types of particles which actually exist: bosons and fermions, and some of their more bizarre properties, such as to be unobservable on their path.
Could we predict other entities, such as the electric field, the weak interaction, the strong interaction?
Could we, from simple geometric considerations on the shape of the nibs, predict the exact values of constants of physics, such as the coupling constants of the various fundamental forces? (Any prediction of this kind would win a well-deserved Nobel to its author, and validate the theory of the logical self-generation process to the eyes of official science).
I'm not sure of this. Indeed, we saw that the nibs can have «ad hoc» non-demonstrable properties, set randomly (an anthropic random, chapter IV-6,) in the time of the the Big Bang (or creative absurdity, see chapter III-3, rule 3). These nibs are then logically constrained to produce other identical nibs, transmitting their properties, without changing them. It is this logical constraint which forbids ordinary physics to change its own laws.
However, Quantum Mechanics predicts the formation of «domains», areas of space having different laws of physics (Ancient publications rather say «textures», and it is the word I used in version 1). It is what was actually observed into quark-glons plasma. What says the theory of the logical self-generation process, is that appeared a logical indeterminism, or a paradox, which resolution would result in the emergence of a new arbitrary law, as explained in Chapter III-3, Rule 6. This new law is then constrained to spread without being changed.
So, after the theory of the Big Bang, the four fundamental forces would have appeared only a few tiny fractions of a second after the Big Bang, during a special event, called «symmetry breaking», a time where, as says the logical self-generation theory, the previous laws were taken in default, forcing the apparition of new different laws. Since, these new laws are forced to propagate without being changed.
It is therefore not sure at all that we can demonstrate all the physics, if it includes such arbitrary elements, see local and accidental elements.
However we might try, for example by posing that a nib with an electric charge is the same than a nib with a neutral charge, but with a different orientation in the Minkowski space (for instance in another dimension). Thus, a neutral particle and a charged particle would have a different local space and universe lines, which then easily explains their very different behaviour, without invoking anything else than Special Relativity. It would be fascinating to find the electric field, see the weak and strong interactions, out of such simple geometry considerations into the Minkowski space!
So this leads us to the current (2012) state of my thinking on this topic. Of course I continue to think, and if I find, I shall add chapters to this part.
These are theories proposed by scientists, in order to explain the apparent contradictions between Relativity and Quantum Mechanics. They are still speculative today (2012).
The String theory assumes that the particles are not points, but small vibrating strings, each resonance producing one of the known particles. This theory in its current state is not compatible with the theory of the nibs, as it remains in the concept of objects arranged in a pre-existing space, of which we must then explain the nature, which is necessarily sub-particulate and extra-particulate. Moreover, this theory predicts a space with 11 dimensions, some of which being «wrapped» in an ad-hoc way, to be unobservable. Too many adjustments, in my opinion.
Supersymmetry, on its side invokes an additional parameter in the classification of the known particles, so that each one has a supersymmetric partner. The existence of such supersymmetric particles has been postulated mainly to explain dark matter in astronomy, because they do not interact with ordinary matter. This theory is fully compatible with everything written into this part, it just is not proven. The lightest supersymmetric particles are within reach of the CERN collider. So, we should soon find them... or if not, abandon the theory of supersymmetry.
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