Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon

TL;DR

This paper demonstrates that black hole tunneling probability can be derived from thermodynamics by incorporating quantum gravity corrections, establishing a deeper connection between Hawking radiation and black hole thermodynamics.

Contribution

It introduces a method to derive tunneling probability from the first law of thermodynamics with quantum corrections, applicable to various black hole types.

Findings

Tunneling probability derived from thermodynamics with quantum gravity corrections.

Method applicable regardless of black hole entropy form.

Highlights the importance of temperature-surface gravity relation.

Abstract

We show that the first law of the black hole thermodynamics can lead to the tunneling probability through the quantum horizon by calculating the change of entropy with the quantum gravity correction and the change of surface gravity is presented clearly in the calculation. The method is also applicable to the general situation which is independent on the form of black hole entropy and this verifies the connection of black hole tunneling with thermodynamics further. In the end we discuss the crucial role of the relation between the radiation temperature and surface gravity in this derivation.