Generalized uncertainty principle and correction value to the black hole entropy

TL;DR

This paper calculates the correction to black hole entropy using the generalized uncertainty principle, finding a negative coefficient for the logarithmic correction term, which differs from previous results and applies to various spacetime horizons.

Contribution

It introduces a new method to compute black hole entropy corrections based on the generalized uncertainty principle, with a consistent negative logarithmic coefficient.

Findings

The correction coefficient of the logarithmic term is negative.

The method applies to both single and double horizon spacetimes.

The approach supports the validity of the Bekenstein-Hawking area theorem under GUP.

Abstract

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking entropy of the black hole. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is negative. This result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for double horizons spacetime. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the condition that Bekenstein-Hawking area theorem is valid.