The Influence of Approximation in Generalized Uncertainty Principle on Black Hole Evaporation

TL;DR

This paper improves the approximation method used in generalized uncertainty principle models to better understand black hole evaporation, comparing original and enhanced approaches for different parameter signs.

Contribution

It introduces an improved approximation method for the generalized uncertainty principle and evaluates its effectiveness in black hole evaporation analysis.

Findings

The improved method offers more accurate predictions of black hole evaporation.

Comparison shows significant differences between original and improved methods.

Guidelines for applying the improved approximation are provided.

Abstract

The generalized uncertainty principle is often used to modify various thermodynamics systems by regarding the greater-than-equal relation as an approximate relation. We give a method to improve this approximation and compare the differences between the original and improved methods during the evaporation of black hole from two aspects of positive and negative parameters. Finally, we prove the rationality of the improved method and give some guiding opinions.