Bouncing universe in a heat bath
A. A. Ara\'ujo Filho, A. Yu. Petrov

TL;DR
This paper develops a thermal model for photon modes in a bouncing universe with Lorentz-breaking dispersion, analyzing thermodynamic properties across different cosmic epochs and revealing conditions for potential instability.
Contribution
It introduces an analytical thermal description of photon modes in a bouncing universe with Lorentz violation, exploring thermodynamics during various cosmic eras.
Findings
Spectral radiance, entropy, and Helmholtz free energy are derived analytically.
Thermodynamic behavior generally aligns with the second law of thermodynamics.
Certain configurations suggest possible thermodynamic instability.
Abstract
We develop a thermal description for photon modes within the context of bouncing universe. Within this study, we start with a Lorentz-breaking dispersion relation which accounts for modified Friedmann equations with a bounce solution. We calculate the spectral radiance, the entropy, the Helmholtz free energy, the heat capacity, and the mean energy. Nevertheless, the latter two ones turn out to contribute only in a trivial manner. Furthermore, one intriguing aspect gives rise to: for some configurations of , , and , the thermodynamical behavior of the system seems to indicate instability. However, despite of showing this particularity, the solutions of the thermodynamic functions in general turn out to agree with the literature, e.g., the second law of thermodynamics is maintained. More so, all the results are derived \textit{analytically} and three different regimes of…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
