Quantum Black Hole in the Generalized Uncertainty Principle Framework

TL;DR

This paper investigates how the Generalized Uncertainty Principle influences the thermodynamics of Schwarzschild black holes, providing modified temperature and entropy calculations within a quantum gravity framework.

Contribution

It introduces a modified partition function incorporating GUP effects to analyze black hole thermodynamics, offering new insights into quantum gravity impacts.

Findings

GUP alters the Hawking temperature of black holes.

GUP modifies the entropy-area relationship.

Thermodynamical properties are significantly affected by GUP.

Abstract

In this paper we study the effects of the Generalized Uncertainty Principle (GUP) on canonical quantum gravity of black holes. Through the use of modified partition function that involves the effects of the GUP, we obtain the thermodynamical properties of the Schwarzschild black hole. We also calculate the Hawking temperature and entropy for the modification of the Schwarzschild black hole in the presence of the GUP.