Thermodynamics of black holes and the symmetric generalized uncertainty principle

TL;DR

This paper explores black hole thermodynamics through a symmetric generalized uncertainty principle, deriving key relations like mass-temperature, heat capacity, and entropy corrections, revealing quantum effects on black hole properties.

Contribution

It introduces a novel approach using the symmetric generalized uncertainty principle to analyze black hole thermodynamics, including corrections to entropy and critical masses.

Findings

Mass-temperature relation derived with quantum corrections

Entropy satisfies area law with leading order corrections

Identification of critical and remnant masses for black holes

Abstract

In this paper, we have investigated the thermodynamics of Schwarzschild black holes using the symmetric generalized uncertainty principle which contains correction terms involving momentum and position uncertainty. We obtain the mass-temperature relation and the heat capacity of the black hole using which we compute the critical and remnant masses. The entropy is found to satisfy the area law upto leading order corrections from the symmetric generalized uncertainty principle.