Physics at Small Numbers of Particles Within the Frame of a Horizon

Abstract

The Einstein equations are non-linear and the particles of which the gravitational effect is described by these equations are lastly unknown. If renormalizable fields are assumed, then results are obtained only in the case of a at space. Therefore, there is still no generally recognized quantum theory of gravitation and electromagnetism. In this work the solution of these quantum mechanic problems are forced in some sense: the metric tensor is linearized, and it is required that the entire system of equations is invariant with respect to the symmetry group of the linearized Einstein equations. The field which represents this symmetry group only allows a measurement within the horizon to simulate the event horizon. It is shown that the number of quants of this field is constant. There are 4 types of solutions in the 2-quantum space, of which one has particle-like properties. This particular solution has a gravitational effect which can be externally arbitrarily small, as compared to its electromagnetic effect. In contrast, this does not apply to the other 3 solutions. The model might be used to explain why gravitation is so much weaker than the electromagnetic interaction in real physics. Accordingly, the Higgs boson is possibly not necessarily be required for the mass scale. Likewise, an explanation could be made why gravitation and electromagnetic inter- actions had the same intensity during the early stages of the universe. A peculiarity of the model provides a mechanism for the Big Bang in all four types of solutions, although there is no singularity. As a consequence of the inferred change in the microstructure, a change in the macrostructure of the cosmos is suggested, allowing an understanding of the particular properties of the Dark Matter and the accelerated expansion of the cosmos.