# Quantum-corrected black hole thermodynamics to all orders in the Planck length

## TL;DR

This paper explores how quantum corrections to black hole thermodynamics, derived from a generalized uncertainty principle to all orders in the Planck length, affect Hawking radiation, leading to faster evaporation and a stable remnant.

## Contribution

It provides a comprehensive analysis of black hole thermodynamics incorporating all-order quantum corrections from GUP, revealing new features of black hole evaporation and remnants.

## Key findings

- Evaporation process is accelerated.
- Black hole remnants have zero entropy and heat capacity.
- Decay time is significantly reduced compared to semi-classical predictions.

## Abstract

We investigate the effects to all orders in the Planck length from a generalized un- certainty principle (GUP) on black holes thermodynamics. We calculate the corrected Hawking temperature, entropy, and examine in details the Hawking evaporation process. As a result, the evaporation process is accelerated and the evaporation end-point is a zero entropy, zero heat capacity and finite non zero temperature black hole remnant (BHR). In particular we obtain a drastic reduction of the decay time, in comparison with the results obtained in the Hawking semi classical picture and with the GUP to leading order in the Planck length.