Abstract

An approach to the theory of geometrization of the Universe is proposed. The wave function of the Universe is represented by the Clifford number with the transfer rules that have the structure of the Dirac equation for any manifold. Solutions of this equation may be obtained in terms of the geometric interpretation. A new model is proposed that can explain the manifestation of the dark energy and dark matter in the Universe as a geometrical entity with a mechanism involving the spontaneous symmetry breaking.

Highlights

  • The problem of origin of the Universe is far from being solved

  • In the paper [2] an approach was proposed to describe the causes and physical mechanism of the universe origination in terms of the first principles of statistical mechanics and quantum field theory. With this approach we can answer the question concerning the probable occurrence of an additional physical field, but nothing can be said about its geometric nature, except the assumption that everything has arose from a state of vacuum that corresponds to the lowest value of energy

  • We assume that in the presence of a spontaneously generated fundamental field with different geometric presentation, the vacuum energy is lower than the ground state energy of the primary vacuum and that the ground field energy is influenced by its nonlinear interactions with the fluctuations of the physical fields of different nature

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Summary

Introduction

The problem of origin of the Universe is far from being solved. Modern ideas (rather hypotheses) about the cause of the formation of the state of the universe suggest the instability of some fundamental scalar fields associated with the quantum nature of the matter [1]. The reasons and physical mechanism of the Universe origination remain open. In the paper [2] an approach was proposed to describe the causes and physical mechanism of the universe origination in terms of the first principles of statistical mechanics and quantum field theory. With this approach we can answer the question concerning the probable occurrence of an additional physical field, but nothing can be said about its geometric nature, except the assumption that everything has arose from a state of vacuum that corresponds to the lowest value of energy.

Lev DOI
Geometrical Origin of the Universe
Geometrical Description Evolution of the Universe
Conclusions
Full Text
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