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

Rabin Banerjee; Sumit Ghosh

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

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arxiv 1002.2302 v2 pith:KAAFOKZP submitted 2010-02-11 gr-qc hep-th

Rabin Banerjee , Sumit Ghosh This is my paper · ORCID

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keywords massblackgeneralisedholeprincipleproblemremnantsingularity

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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.

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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
gr-qc 2025-08 reject novelty 4.0 of 10

With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.

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