HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Övgün, Ali, Pantig, Reggie C.
Natura: Preprint
Pubblicazione: 2025
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866917133286375424
author Övgün, Ali
Pantig, Reggie C.
author_facet Övgün, Ali
Pantig, Reggie C.
contents In this work, we have investigated the phenomenon of acceleration radiation exhibited by a two-level atom freely falling into a Generalized Uncertainty Principle (GUP)-corrected Schwarzschild black hole. We derive analytic expressions for the atom's excitation probability with simultaneous emission of a scalar quantum and observe that it satisfies the Einstein equivalence principle when compared to the excitation probability induced by a uniformly accelerating mirror, motivated by studies [10.1103/PhysRevLett.121.071301] and [10.1073/pnas.1807703115]. Adopting an open-quantum-system framework, we then compute the horizon-brightened acceleration radiation (HBAR) entropy for the GUP-corrected spacetime and find that it reproduces the Bekenstein-Hawking entropy law, with corrections characteristic of GUP effects. These results underline the robustness of thermal radiation processes near horizons and the universality of entropy corrections in quantum-improved black hole spacetimes.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10621
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
Övgün, Ali
Pantig, Reggie C.
General Relativity and Quantum Cosmology
In this work, we have investigated the phenomenon of acceleration radiation exhibited by a two-level atom freely falling into a Generalized Uncertainty Principle (GUP)-corrected Schwarzschild black hole. We derive analytic expressions for the atom's excitation probability with simultaneous emission of a scalar quantum and observe that it satisfies the Einstein equivalence principle when compared to the excitation probability induced by a uniformly accelerating mirror, motivated by studies [10.1103/PhysRevLett.121.071301] and [10.1073/pnas.1807703115]. Adopting an open-quantum-system framework, we then compute the horizon-brightened acceleration radiation (HBAR) entropy for the GUP-corrected spacetime and find that it reproduces the Bekenstein-Hawking entropy law, with corrections characteristic of GUP effects. These results underline the robustness of thermal radiation processes near horizons and the universality of entropy corrections in quantum-improved black hole spacetimes.
title HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2506.10621