Quantum gravity corrections to Hawking radiation via GUP

Abstract

In this paper, we explore the effects of the generalized uncertainty principle (GUP) on the tunneling process of a Schwarzschild black hole using two different approaches. First, we analyze the Parikh–Wilczek tunneling process for Hawking radiation within the GUP framework. Our results indicate that GUP corrections lead to outcomes similar to those of a Reissner–Nordström black hole, introducing an effect analogous to an electric charge, in agreement with findings from string theory and other quantum gravity models. Furthermore, we observe that the emission spectrum deviates from pure thermality, with correlations between emitted particles providing insights into the resolution of the information loss problem. Second, we examine the tunneling process using the Hamilton–Jacobi method, finding that both approaches yield the same GUP-modified Hawking temperature. These results reinforce the validity of GUP as a promising framework in the pursuit of a consistent theory of quantum gravity.