Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics

TL;DR

This paper introduces a new GUP consistent with string theory, analyzes its effects on black hole thermodynamics, and shows that black hole evaporation halts at a remnant mass, addressing the singularity issue.

Contribution

It derives a novel GUP and applies it to black hole thermodynamics, providing insights into remnant formation and singularity resolution.

Findings

Black hole evaporation stops at a finite remnant mass

Corrections to the mass-temperature relation are derived

The approach helps bypass the singularity problem in black hole physics

Abstract

We have derived a new Generalised Uncertainty Principle (GUP) based on certain general assumptions. This GUP is consistent with predictions from string theory. It is then used to study Schwarzschild black hole thermodynamics. Corrections to the mass-temperature relation, area law and heat capacity are obtained. We find that the evaporation process stops at a particular mass, referred as the remnant mass. This is instrumental in bypassing the well known singularity problem that occurs in a semiclassical approach.