On the thermodynamics of scale factor dual Universes

TL;DR

This paper explores the thermodynamical properties of scale factor duality in cosmological models, focusing on how it affects thermodynamic quantities and the conditions for duality as a UV/IR symmetry.

Contribution

It derives the transformations of thermodynamic quantities under scale factor duality and analyzes the conditions for duality as a UV/IR symmetry in models with a modified Chaplygin gas.

Findings

Derived thermodynamic transformations under SFD.

Identified parameter restrictions for duality as a UV/IR symmetry.

Studied thermodynamics of self-dual cosmological models.

Abstract

The thermodynamical aspects of the conformal time scale factor duality (SFD) of cosmological models within Einstein Gravity are investigated. We derive the SFD transformations of the thermodynamical quantities describing the thermal evolution of the matter fluid and of the apparent horizon. The thermodynamical properties of the self-dual cosmological models with a modified Chaplygin gas are studied in detail. We deduce the restrictions on the equation of state parameters that allow to extend scale factor duality as a UV/IR symmetry of the cosmological models consistent with their thermodynamical behavior.