The generalized second law in universes with quantum corrected entropy relations

TL;DR

This paper investigates how quantum corrections to entropy influence the generalized second law in cosmological models, using modified Friedmann equations and thermodynamic principles to constrain correction parameters.

Contribution

It introduces a method to discriminate quantum entropy corrections in cosmology by applying the generalized second law with modified Friedmann equations and thermodynamic principles.

Findings

Quantum corrections affect the validity of the generalized second law.

Constraints on correction parameters are derived from thermodynamic considerations.

Different correction types (logarithmic, power-law) are analyzed in cosmological contexts.

Abstract

We apply the generalized second law of thermodynamics to discriminate among quantum corrections (whether logarithmic or power-law) to the entropy of the apparent horizon in spatially Friedmann-Robertson-Walker universes. We use the corresponding modified Friedmann equations along with either Clausius relation or the principle of equipartition of the energy to set limits on the value of a characteristic parameter entering the said corrections.