Black hole thermodynamics and modified GUP consistent with doubly special relativity

TL;DR

This paper investigates how modifications to the uncertainty principle inspired by doubly special relativity affect black hole thermodynamics, providing corrected formulas for temperature, entropy, and heat capacity.

Contribution

It introduces a modified generalized uncertainty principle consistent with doubly special relativity and derives corresponding thermodynamic corrections for Schwarzschild black holes.

Findings

Derived corrected temperature, entropy, and heat capacity formulas.

Showed consistency of modified GUP with doubly special relativity.

Provided insights into quantum gravity effects on black hole thermodynamics.

Abstract

We study the black hole thermodynamics and obtain the correction terms for temperature, entropy, and heat capacity of the Schwarzschild black hole, resulting from the commutation relations in the framework of {\it Modified Generalized Uncertainty Principle} suggested by {\it Doubly Special Relativity}.