Thermostatistics with an Invariant Infrared Cutoff

TL;DR

This paper explores how quantum gravitational effects, modeled as an infrared cutoff, influence the thermodynamic properties of the universe across different eras, comparing fermionic and bosonic systems.

Contribution

It introduces a framework for analyzing the thermostatistics of an expanding universe with an invariant infrared cutoff, highlighting differences between fermions and bosons.

Findings

Infrared cutoff affects the thermodynamic behavior of the universe.

Differences observed between fermionic and bosonic thermostatistics.

Provides insights into quantum gravitational effects on cosmological thermodynamics.

Abstract

Quantum gravitational effects may affect the large scale dynamics of the universe. Phenomenologically, quantum gravitational effect at large distances can be encoded in an extended uncertainty principle that admits a minimal measurable momentum/energy or a maximal length. This maximal length can be considered as the size of the cosmological horizon today. In this paper we study thermostatistics of an expanding universe as a gaseous system and in the presence of an invariant infrared cutoff. We also compare the thermostatistics of different eras of the evolution of the universe in two classes, Fermions and Bosons.