Minimal length and the flow of entropy from black holes

TL;DR

This paper explores how a minimal length, suggested by quantum gravity theories, affects black hole information release and Hawking radiation, revealing non-uniform information flow and increased radiation density near the Planck scale.

Contribution

It introduces a phenomenological model of minimal length effects on black hole evaporation, highlighting changes in information transmission and radiation sparsity.

Findings

Information flow rate varies during black hole evaporation.

Hawking radiation becomes less sparse near the Planck mass.

Minimal length impacts black hole thermodynamics.

Abstract

The existence of a minimal length, predicted by different theories of quantum gravity, can be phenomenologically described in terms of a generalized uncertainty principle. We consider the impact of this quantum gravity motivated effect onto the information budget of a black hole and the sparsity of Hawking radiation during the black hole evaporation process. We show that the information is not transmitted at the same rate during the final stages of the evaporation and that the Hawking radiation is not sparse anymore when the black hole approaches the Planck mass.