The α-Theory. From Tachyonic to Bradyonic Universe. New Physical Scenarios
Résumé
The present book is devoted to the construction of a new theory for the elementary particles. This theory was born in order to resolve some open issues of the Standard Model, among which the research of a general equation for the description of all quantum particles in a unique way. Starting from the Pauli equation, two relativistic partial differential equations are obtained, one to the first and other to the second order, which are able to describe particles with arbitrary spin. The analysis of the energetic spectrum concerning such equations puts in evidence that the particles they describe have an imaginary mass. Then, the probability density study of these equations shows the principle of causality is not satisfied. Therefore, these equations characterize the tachyonic universe. We can see such a universe admits spontaneous symmetry breaking. In general terms, we can establish the broken symmetry might be a global characteristic of the tachyonic universe, due to its negative square energy, which made it unstable. Hence, it is possible to assume that after the hot Big-Bang there was another catastrophic cosmological event - said Big-Break - which made to break down the tachyonic universe in a positive square energy one (bradyonic universe), and from which the four fundamental interactions are probably generated. The transition from tachyonic to bradyonic universe transforms the tachyonic equations in bradyonic ones, being then able to describe elementary particles with arbitrary spin. The first order partial differential equation gives asymmetric quantum states, while the second order partial differential equation gives symmetric quantum states and so they describe different theories. In the course of this work, both these theories will be studied. Either way, only one of the two could be the right theory of the elementary particles. Since this theory follows on from the Big-Bang, from the resultant tachyonic universe and from Big-Break, it has been called α-Theory, i.e. the "beginning theory." The α-Theory may theoretically predict the experimental properties of neutrinos and anti-neutrinos and allows, thanks to the appendix A, to generalize the concepts of the Dirac sea, Pauli exclusion principle and spin-statistics theorem, thus giving rise to "s-matter" and "multi-statistics," which are able to take an interesting approach for the explanation of the Dark Matter. Furthermore, it expects on large-scale the "double inflation" mechanism, which, without the Dark Energy, could explain the acceleration of our universe (bradyonic universe). From the α-Theory, two string actions can be deduced too, by which new ideas can be developed. Practically, the α-Theory wants to be a GUT, able to describe the quantum particles and our universe in a simple and elegant way.
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