Dynamical Vacuum Compressibility of Space
- URL: http://arxiv.org/abs/2312.09047v2
- Date: Tue, 26 Dec 2023 14:37:14 GMT
- Title: Dynamical Vacuum Compressibility of Space
- Authors: Yu-Cun Xie, Jen-Tsung Hsiang, Bei-Lok Hu
- Abstract summary: This paper continues the investigation initiated in arXiv:2204.08634 into the quantum thermodynamic properties of space.
The quantum processes studied here include particle creation, Casimir effect, and the trace anomaly.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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