Generalized uncertainty principle impact onto the black holes information flux and the sparsity of Hawking radiation

TL;DR

This paper explores how the generalized uncertainty principle (GUP) affects black hole entropy, information flux, and Hawking radiation sparsity, revealing significant quantum gravity corrections at the Planck scale.

Contribution

It introduces GUP-based corrections to black hole entropy and radiation flux, showing their impact on late-stage black hole evaporation and radiation sparsity.

Findings

Entropy flow per particle decreases near the Planck scale.

Hawking radiation becomes non-sparse at Planck-scale black holes.

GUP corrections alter microstate counting accuracy.

Abstract

We investigate the generalized uncertainty principle (GUP) corrections to the entropy content and the information flux of black holes, as well as the corrections to the sparsity of the Hawking radiation at the late stages of evaporation. We find that due to these quantum gravity motivated corrections, the entropy flow per particle reduces its value on the approach to the Planck scale due to a better accuracy in counting the number of microstates. We also show that the radiation flow is no longer sparse when the mass of a black hole approaches Planck mass which is not the case for non-GUP calculations.