Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics

TL;DR

This paper investigates how quantum gravity, via the Generalized Uncertainty Principle, modifies the thermodynamics of charged micro black holes, including effects of extra dimensions and potential dark matter remnants.

Contribution

It introduces a detailed analysis of GUP effects on charged black hole thermodynamics, considering multiple GUP types and extra-dimensional models for the first time.

Findings

Quantum gravity effects alter black hole temperature and entropy.

Existence of charged black hole remnants as dark matter candidates.

GUP modifications depend on minimal length, momentum, and maximal momentum parameters.

Abstract

The charged black hole thermodynamics is corrected in terms of the quantum gravity effects. Most of the quantum gravity theories support the idea that near the Planck scale, the standard Heisenberg uncertainty principle should be reformulated by the so-called Generalized Uncertainty Principle (GUP) which provides a perturbation framework to perform required modifications of the black hole quantities. In this paper, we consider the effects of the minimal length and maximal momentum as GUP type I and the minimal length, minimal momentum, and maximal momentum as GUP type II on thermodynamics of the charged TeV-scale black holes. We also generalized our study to the universe with the extra dimensions based on the ADD model. In this framework, the effect of the electrical charge on thermodynamics of the black hole and existence of the charged black hole remnants as a potential candidate for the dark matter particles are discussed.