Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle

TL;DR

This paper explores how the generalized uncertainty principle modifies the thermodynamics of Schwarzschild-Tangherlini black holes, leading to black hole remnants and implications for the information paradox, with potential observational constraints from the LHC.

Contribution

It provides the first detailed analysis of GUP effects on higher-dimensional black hole thermodynamics and the possibility of black hole remnants.

Findings

GUP alters Hawking temperature, entropy, and heat capacity.

Black holes stop radiating and form remnants at Planck scale.

Black hole production at LHC is not feasible with current energies.

Abstract

We investigate the thermodynamics of Schwarzschild-Tangherlini black hole in the context of the generalized uncertainty principle. The corrections to the Hawking temperature, entropy and the heat capacity are obtained via the modified Hamilton-Jacobi equation. These modifications show that the GUP changes the evolution of Schwarzschild-Tangherlini black hole. Specially, the GUP effect becomes susceptible when the radius or mass of black hole approach to the order of Planck scale, it stops radiating and leads to black hole remnant. Meanwhile, the Planck scale remnant can be confirmed through the analysis of the heat capacity. Those phenomenons imply that the GUP may give a way to solve the information paradox. Besides, we also investigate the possibilities to observe the black hole at LHC, the results demonstrate that the black hole can not be produced in the recent LHC.