A Comparative Study of Different Entropies in Fractal Universe

TL;DR

This paper investigates how different entropy measures affect thermodynamic laws in a fractal universe with modified Hawking temperature and Bekenstein entropy, analyzing their validity and equilibrium conditions.

Contribution

It introduces a comparison of various entropy forms within a fractal universe framework, extending thermodynamic concepts to this complex geometry.

Findings

GSLT validity varies with entropy type

Thermodynamic equilibrium conditions are analyzed graphically

Different entropies influence the thermodynamic behavior in fractal cosmology

Abstract

Here we make an attempt to extend the idea of generalized Hawking temperature and modified Bekenstein entropy at the event horizon in a fractal universe. The modified Hawking temperature and Bekenstein entropy are considered in the governing Friedmann equations, which is modified in the background of a fractal universe. The validity of the Generalized second law of thermodynamics\,(GSLT) and Thermodynamic Equilibrium\,(TE) have been examined and compared graphically in a fractal universe filled with a perfect fluid having the constant equation of state in three different generalized Bekenstein system.