Four dimensional Riemannian general relativity as a spontaneous symmetry breaking

Gabor Etesi

Four dimensional Riemannian general relativity as a spontaneous symmetry breaking

Mathematical Physics 2024-09-23 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Authors: Gabor Etesi

Abstract

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.)

Keywords

Riemannian general relativity spontaneous symmetry breaking quantum field theory von Neumann algebra phase transition

Cite

@article{arxiv.2407.04704,
  title  = {Four dimensional Riemannian general relativity as a spontaneous symmetry breaking},
  author = {Gabor Etesi},
  journal= {arXiv preprint arXiv:2407.04704},
  year   = {2024}
}

Comments

LaTeX, 24 pp, no figures; a fully re-written introduction to gain more clarity; this is a continuation of our earlier works at arXiv: 1712.01828 [math-ph]. arXiv admin note: substantial text overlap with arXiv:1712.01828

Four dimensional Riemannian general relativity as a spontaneous symmetry breaking

Abstract

Keywords

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