Four dimensional Riemannian general relativity as a spontaneous symmetry breaking

Fuente: arXiv
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Main Author: Etesi, Gabor
Format: Preprint
Published: 2024
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author Etesi, Gabor
author_facet Etesi, Gabor
contents In this paper $4$ dimensional Riemannian (or Euclidean) vacuum general relativity is recovered from a phase transition by spontaneous symmetry breaking within a quantum field theory (all in the sense of the operator algebraic approach to quantum field theory) provided by the unique ${\rm II}_1$ hyperfinite factor von Neumann algebra. The formal temperature of this phase transition is $T=\frac{1}{2}T_{\rm Planck}\approx7.06\times 10^{31}{\rm K}$. (For an extended abstract see the text.)
format Preprint
id arxiv_https___arxiv_org_abs_2407_04704
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Four dimensional Riemannian general relativity as a spontaneous symmetry breaking
Etesi, Gabor
Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this paper $4$ dimensional Riemannian (or Euclidean) vacuum general relativity is recovered from a phase transition by spontaneous symmetry breaking within a quantum field theory (all in the sense of the operator algebraic approach to quantum field theory) provided by the unique ${\rm II}_1$ hyperfinite factor von Neumann algebra. The formal temperature of this phase transition is $T=\frac{1}{2}T_{\rm Planck}\approx7.06\times 10^{31}{\rm K}$. (For an extended abstract see the text.)
title Four dimensional Riemannian general relativity as a spontaneous symmetry breaking
topic Mathematical Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2407.04704