Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP

TL;DR

This paper explores how quantum corrections to black hole thermodynamics, derived from an improved exponential GUP, behave in the extreme case where a key parameter approaches infinity, revealing new insights into black hole physics.

Contribution

It extends previous work by analyzing the extreme limit of the improved exponential GUP and its effects on black hole thermodynamics and localized states.

Findings

Quantum corrections significantly alter thermodynamic quantities in the extreme limit.

Maximally localized states exhibit notable changes as the parameter n approaches infinity.

Black hole evaporation characteristics are affected by the GUP modifications.

Abstract

We have introduced an improved exponential GUP, derived the maximally localized states, calculated quantum corrections to the thermodynamic quantities of the Schwardzschild black hole in our previous work. In this paper we continue to investigate how the maximally localized states and thermodynamic quantities such as Hawking temperature, the entropy, the heat capacity, the evaporation rate, and the decay time change in the extreme case that the integer n in our GUP rises to infinity.