Thermodynamics of Photon Gas with an Invariant Energy Scale

TL;DR

This paper explores how introducing an invariant energy scale, motivated by quantum gravity, alters the thermodynamics of a photon gas, leading to reduced density of states and entropy compared to standard relativity.

Contribution

It presents a novel analysis of photon gas thermodynamics incorporating an invariant energy scale, highlighting effects of deformed Lorentz symmetry.

Findings

Density of states is reduced compared to Einstein's SR.

Entropy of photon gas decreases in the invariant energy scale framework.

Deformed Lorentz symmetry influences thermodynamical properties.

Abstract

Quantum Gravity framework motivates us to find new theories in which an observer independent finite energy upper bound (preferably Planck Energy) exists. We have studied the modifications in the thermodynamical properties of a photon gas in such a scenario where we have an invariant energy scale. We show that the density of states and the entropy in such a framework are less than the corresponding quantities in Einstein's Special Relativity (SR) theory. This result can be interpreted as a consequence of the deformed Lorentz symmetry present in the particular model we have considered.