Dynamical Vacuum Compressibility of Space

Fuente: arXiv
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Autori principali: Xie, Yu-Cun, Hsiang, Jen-Tsung, Hu, Bei-Lok
Natura: Preprint
Pubblicazione: 2023
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author Xie, Yu-Cun
Hsiang, Jen-Tsung
Hu, Bei-Lok
author_facet Xie, Yu-Cun
Hsiang, Jen-Tsung
Hu, Bei-Lok
contents This paper continues the investigation initiated in arXiv:2204.08634 into the quantum thermodynamic properties of space by deriving the vacuum compressibility of a variety of dynamical spacetimes containing massive and massless conformally coupled quantum fields. The quantum processes studied here include particle creation, Casimir effect, and the trace anomaly. The spaces include $S^2, S^3$, and $T^3$ with prescribed time evolution and $S^1$, where the temporal developments are backreaction determined. Vacuum compressibility belongs to the same group of quantum thermodynamic / mechanical response functions as vacuum viscosity, a concept first proposed in 1970 by Zel'dovich for capturing the effects of vacuum particle production on the dynamics of the early universe, made precise by rigorous work of many authors in the following decade using quantum field theory in curved spacetime methodologies and semiclassical gravity theory for treating backreaction effects. Various subtleties in understanding the behavior of the vacuum energies of quantum field origins, negative pressures and novel complicated features of dynamical compressibility are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09047
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dynamical Vacuum Compressibility of Space
Xie, Yu-Cun
Hsiang, Jen-Tsung
Hu, Bei-Lok
General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
Quantum Physics
This paper continues the investigation initiated in arXiv:2204.08634 into the quantum thermodynamic properties of space by deriving the vacuum compressibility of a variety of dynamical spacetimes containing massive and massless conformally coupled quantum fields. The quantum processes studied here include particle creation, Casimir effect, and the trace anomaly. The spaces include $S^2, S^3$, and $T^3$ with prescribed time evolution and $S^1$, where the temporal developments are backreaction determined. Vacuum compressibility belongs to the same group of quantum thermodynamic / mechanical response functions as vacuum viscosity, a concept first proposed in 1970 by Zel'dovich for capturing the effects of vacuum particle production on the dynamics of the early universe, made precise by rigorous work of many authors in the following decade using quantum field theory in curved spacetime methodologies and semiclassical gravity theory for treating backreaction effects. Various subtleties in understanding the behavior of the vacuum energies of quantum field origins, negative pressures and novel complicated features of dynamical compressibility are discussed.
title Dynamical Vacuum Compressibility of Space
topic General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2312.09047