Investigation of Unruh temperature of Black holes by using of EGUP formalism

TL;DR

This paper explores how the extended generalized uncertainty principle affects the Unruh temperature and thermodynamic properties of black holes, providing new insights into black hole thermodynamics.

Contribution

It introduces the use of EGUP to analyze black hole temperature and thermodynamics, extending previous uncertainty principle applications.

Findings

Derived modified Unruh temperature using EGUP

Analyzed black hole entropy and specific heat with graphical comparisons

Provided new relations between black hole mass and thermodynamic quantities

Abstract

In this paper, we have used the extended generalized uncertainty principle to investigate the Unruh temperature and thermodynamic properties of a black hole. We started with a brief perusal of the Heisenberg uncertainty principle and continue with some physical and mathematical discussion for obtaining the generalized and the extended generalized uncertainty principle. Then, we obtained the Unruh temperature, mass-temperature, specific heat, and entropy functions of a black hole. We enriched the paper with graphical analysis as well as their comparisons.