Preliminaries in Many-Particle Quantum Gravity: Einstein-Friedmann Spacetime

TL;DR

This paper explores a many-particle quantum approach to Einstein-Friedmann spacetime, utilizing second quantization in Fock space to describe spacetime as a Bose-Einstein system and analyzing its thermodynamics.

Contribution

It introduces a novel many-particle quantization framework for Einstein-Friedmann spacetime using von Neumann-Araki-Woods second quantization.

Findings

Spacetime modeled as a Bose-Einstein system.

Thermodynamics of the spacetime system computed.

Provides a new perspective on quantum gravity in cosmological models.

Abstract

Preliminaries for Many-Particle approach to quantization of Einstein-Hilbert theory of gravitation are presented in this paper. Einstein-Friedmann Spacetime is detailed discussed from this point of view. Von Neumann-Araki-Woods second quantization in Fock space of canonical Hamilton field equations is presented. In result Spacetime as system with Bose-Einstein statistics is described and thermodynamics of the system is computed.