Black Hole Entropy with minimal length in Tunneling formalism

TL;DR

This paper investigates how the Generalized Uncertainty Principle influences Hawking radiation and black hole entropy, revealing new correction terms including a leading order term proportional to the square root of the area.

Contribution

It introduces a novel quantum correction to black hole entropy within the tunneling formalism, highlighting a new leading order term and comparing results with other quantum gravity theories.

Findings

Discovery of a new correction term proportional to √Area

Confirmation of logarithmic correction in entropy

Comparison with other quantum gravity models

Abstract

Here we study the effects of the Generalized Uncertainty Principle in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy for a Schwarzschild black hole. We compare our results with the existing results given by other candidate theories of quantum gravity. In the entropy-area relation we found some new correction terms and in the leading order we found a term which varies as $\sim \sqrt{Area}$. We also get the well known logarithmic correction in the sub-leading order. We discuss the significance of this new quantum corrected leading order term.