Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole

TL;DR

This paper explores how an atom falling into a quantum-corrected black hole exhibits acceleration radiation consistent with the equivalence principle and calculates the associated entropy, revealing quantum gravity effects.

Contribution

It demonstrates the validity of the equivalence principle for quantum-corrected black holes and derives the HBAR entropy including universal quantum gravity corrections.

Findings

Acceleration radiation obeys the equivalence principle.

HBAR entropy matches Bekenstein-Hawking entropy with quantum corrections.

Results support the universality of quantum gravity effects on black hole entropy.

Abstract

In this work, we have investigated the phenomenon of acceleration radiation exhibited by an atom falling into a quantum corrected Schwarzschild black hole. We observe that the excitation-probability of the atom with simultaneous emission of a photon satisfies the equivalence principle when we compare it to the excitation probability of a mirror accelerating with respect to an atom. We also demonstrate the validity of the equivalence principle for a generic black hole geometry. Then we calculate the horizon brightened acceleration radiation (HBAR) entropy for this quantum corrected black hole geometry. We observed that the HBAR entropy has the form identical to that of Bekenstein-Hawking black hole entropy along with universal quantum gravity corrections.