The Quantum and Statistical Theory of Early Universe and Its Possible Applications to Cosmology

TL;DR

This paper introduces a novel approach using density matrix deformation to study quantum and statistical mechanics of the early universe, addressing key issues like unitarity, black hole entropy, and symmetry restoration.

Contribution

It proposes a new deformation method of the density matrix, extending quantum and statistical theories for early universe cosmology.

Findings

Addresses unitarity problem in early universe

Provides insights into black hole entropy and information paradox

Suggests implications for symmetry restoration in deformed field models

Abstract

The subject of this study is Quantum and Statistical Mechanics of the Early Universe. In it a new approach to investigation of these two theories - density matrix deformation - is proposed. The distinguishing feature of the proposed approach as compared to the previous ones is the fact that here the density matrix is subjected to deformation, rather than commutators or (that is the same) Heisenberg's Algebra. The deformation is understood as an extension of a particular theory by inclusion of one or several additional parameters in such a way that the initial theory appears in the limiting transition. Some consequences of this approach for unitarity problem in Early Universe,black hole entropy, information paradox problem,for symmetry restoration in the associated deformed field model with scalar field are proposed.