The aim of this page is to show how the Repositionning Theory can treat the problem of elementary particles diversity.
The most often admitted classification is that of the Standard Model which introduces several categories. Two large divisions first, the force-carrying particles or bosons, and the matter particles, or fermions, themselves distributed into two main families, the leptons and the quarks. Our model takes again these categories and we will see what sense it gives to the whole.
1- The force-carrier particles or bosons.
They originate when two other particles, fermions, interact under the effect of a force. Their file-leader is the photon, but we know also the bosons Z and W, and the gluons. In this series, the existence of the graviton and the Higgs boson is suspected, but they have not been displayed yet.
For us, as we have seen uncovering hyperbolic fringes in hydrogen atom, these particles seem produced by interferences between two, close and of the same frequency, vibratory systems. They do not exist but in presence of other particles, and arise when these ones separate or bring closer together, causing disturbance in the system. We can define them as vibrations propagating along hyperbolic interference fringes and able to go to infinity.
If this definition square well with photon, since it is at its origin, we will give later precise details about other bosons. Besides, it seems important and urgent to make with them the same work I have done for photons in hydrogen atom : showing mathematically these hyperbolic fringes.
2- The leptons.
They are six in number, 3 doublets :
The electron e, and its neutrino νe.
The muon μ, and its neutrino νμ.
The tau τ, and its neutrino ντ.
All these particles own their antiparticles ; the electron, the muon and the tau are of negative charge and their antiparticles are of positive charge. The Standard Model does not recognise for them any internal structure.
Let's generalize to the two other leptons, the muon and the tau, the hypothesis we have made for the electron : they are formed of a system of two waves propagating in opposite direction.
We can also think that antiparticles are formed of the same wave system, but in phase opposition. So, when a particle and its antiparticle come close together and superpose, everything cancels and diseappears, or should. In fact, we observe the emission of two types of particles, a photon or a boson, and a neutrino.
1- The leptons being two vibratory centers at the same frequency, it occurs, when they come close and as we have seen in hydrogen atom, interference fringes with emission of an electromagnetic radiation ; when an electron meets a positron, that is a gamma ray or, at high energy, a boson. That led me to say upper that bosons could also be interference fringes.
2- The basic waves can stretch to infinity. They don't have forcibly the same wavelength -that can be linked to their relative speed, hence to collision energy-, their superposition is not perfect and their mutual cancellation is not immediate ; a beat wave of large wavelength is generated : a slight particle which could be a neutrino.
3- The Quarks.
At the time of collisions with high energy, decays are complexes with production of much of various particles in cascade ; like a stone one throws in a pool, which products numerous fluctuations. In order to find again our bearings, we have even though some tracks which differentiate our subject of study (matter) from a mere duck pond :
- The boson is for us a force-carrying particle associated with an hyperbola family, its transformation into two quarks is often observed. Currently, in macroscopic universe, there are vibratory centers which produce hyperbolic interference fringes; it appears here the inverse phenomenon : the production of vibratory centres from interference fringes. Must we conclude in favour of the reversibility of this physical phenomenon ? Indeed, if a force-carrying particle is associated to a set of hyperbola created by the interference of two vibratory centres, the converse could be true and an interference-like set of vibrations could be at the origin of two vibratory centres : a particle and its antiparticle at the focuses of the hyperbolic system. That imply of course certain conditions we will discuss elsewhere in these pages.
Before and in order to illustrate what we have just said, here is a series of creations of quarks, from the site "particle adventure" ; we interpret it according to the Repositioning Theory :
One electron and one positron are thrown one to the other at high energy (1). They are one particle and its antiparticle which annihilate at the time of their superposition. But while approaching, the interference of their set of waves produced a force-carrying particle, a photon γ or a boson Z. These two particles are for us linked to a set of hyperbola; one of them recreates at the focuses two vibratory centres, a charm quark and its antiquark (4). While moving aside these ones produce between them other interferences, called a gluon field, for us a set of interferences making gluons to appear. These gluons recreate by the same way a pair of a quark and its antiquark, down now (8). These quarks associate afterwards two by two in order to form the mesons D+ et D- (9).
That can light us a little on the nature of quarks. These are also vibratory systems comparable with leptons, but they come up from interference fringes instead of producing them. The colours correspond to precise wavelengths, a colour vibrating according to a phase and its anti-colour being in opposite phase. In its interferences, a gluon associates a colour and its anti-colour.
The fact that the quarks seem to be born from interference fringes instead of producing them :
- implies a reversing of causality. That asks an important question; I will show in a still to come page how Repositioning Theory can answer that.
- can explain why a quark can't live alone, but accompanied by a boson which produces it and which produces also another quark.
There is a classification of elementary particles inspired from Repositioning Theory. Born of the Standard Model, it deviates some appreciably, mainly because it brings clear physical explanations on origin and nature of these particles. I am fully aware that there is still much to do in order to prove these affirmations, but the tracks seem to me reliable and coherent.