It is shown, that our contemporary knowledge of geometry is insufficient, because we know only axiomatizable geometries. With such a knowledge of geometry one cannot investigate properly physics of microcosm and structure of elementary particles. One can obtain only a phenomenological systematics of elementary particles, whose construction does not need a discrimination mechanism. The discrimin...

The Standard Model of the theory of elementary particles is based on the U(1) × SU(2) × SU(3) symmetry. In the presence of a gravitation field, i. e. in a non-flat space-time manifold, this symmetry is implemented through three special vector bundles. Connections associated with these vector bundles are studied in this paper. In the Standard Model they are interpreted as gauge fields. 1. The U ...

On basis of an algebraic analysis of symmetry breaking in general and the Higgs mechanism in the standard model of elementary particles we generalize the concept of symmetry breaking to systems with non-compact groups but not necessarily caused by a potential. Thereto we give some simple, but unfamiliar examples of symmetry breaking with and without potentials. The analysis of the concept of ma...

In this chapter a double tensor index k implies summation from 1 to 4. There is no classical way to treat the spin and charge variables of elementary particles. ' Therefore we represent matter by a set of complex wave fields p„. The quantities J, and S„& occurring in (1.1) are formed from matrices j„and s„A, . if I =0. Eq. (1.3) takes the form of Dirac's equation for a particle with inherent ma...

The mystery of the cosmological constant is probably the most pressing obstacle to significantly improving the models of elementary particle physics derived from string theory. The problem arises because in the standard framework of low energy physics, there appears to be no natural explanation for vanishing or extreme smallness of the vacuum energy, while on the other hand it is very difficult...

We propose a scalar background in Minkowski spacetime imparting constant proper acceleration to a classical particle. In contrast to the case of a constant electric field the proposed scalar potential does not create particle-antiparticle pairs. Therefore an elementary particle accelerated by such field is a more appropriate candidate for an " Unruh-detector " than a particle moving in a consta...

In recent years a new potential symmetry of fundamental particle physics has been investigated — discrete quark-lepton symmetry. When this symmetry is implemented, however, it often leads to either of the unrealistic predictions m u = m e or m d = m e. This paper considers two possible ways models based on m d = m e can be made realistic.

In this paper we consider a few important questions concerning the microuniverse of elementary physical systems. We know leptonic matter is characterized by negative electric charge and leptonic antimatter by positive electric charge. Conversely baryonic matter is characterized by positive electric charge and baryonic antimatter by negative electric charge. In the Non-Standard Model both, matte...

According to astrophysical and cosmological observations, about 20 percent of the total energy in the universe is contributed by dark matter, which, within present observational limits, only exhibits gravitational interaction. Meanwhile, the Standard Model of elementary particles don’t contain such weakly-interacting constituents. To solve this mystery several schemes extending the Standard Mod...