The Generalized Uncertainty Principle, entropy bounds and black hole (non-)evaporation in a thermal bath

TL;DR

This paper explores how the Generalized Uncertainty Principle affects black hole entropy and evaporation, suggesting that black holes may stabilize near the Planck scale instead of fully evaporating, with implications for primordial black holes.

Contribution

It introduces GUP-based corrections to black hole entropy and evaporation, indicating possible residual masses and quenching of evaporation at the Planck scale.

Findings

Maximum entropy corrections due to GUP

Evaporation may be quenched near the Planck scale

Residual black hole masses could be stable end states

Abstract

We apply the Generalized Uncertainty Principle (GUP) to the problem of maximum entropy and evaporation/absorption of energy of black holes near the Planck scale. We find within this general approach corrections to the maximum entropy, and indications for quenching of the evaporation because not only the evaporation term goes to a finite limit, but also because absorption of quanta seems to help the balance for black holes in a thermal bath. Then, residual masses around the Planck scale may be the final outcome of primordial black hole evaporation.