Entanglement, equivalence principle, and HBAR entropy, in a new bumblebee black hole

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Filho, A. A. Araújo, Liu, Wentao
Format: Preprint
Published: 2025
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917157240045568
author Filho, A. A. Araújo
Liu, Wentao
author_facet Filho, A. A. Araújo
Liu, Wentao
contents We investigate quantum information and thermodynamic properties of a new bumblebee black hole arising from spontaneous Lorentz symmetry breaking by analyzing near-horizon physics through complementary quantum probes. We study the degradation of quantum entanglement for field modes shared by inertial and accelerated observers in spacelike and lightlike Lorentz-violating vacua that generate identical spacetime metrics. Using the near-horizon Rindler correspondence, we derive analytic expressions for the logarithmic negativity and mutual information and examine their dependence on detector position, frequency, and Lorentz-violation parameters. Despite sharing the same metric, the two Lorentz-violating vacua become distinguishable near the horizon, particularly at low frequencies. We analyze the excitation of a freely falling two-level atom coupled to quantum fields near the horizon. The associated acceleration-radiation transition probabilities are computed explicitly. The resulting atomic response is locally indistinguishable from that in flat spacetime, confirming the validity of the equivalence principle even in the presence of Lorentz-violating corrections. Finally, we extend the notion of horizon-brightened acceleration radiation (HBAR) entropy to the bumblebee black hole and derive the corresponding entropy production rate induced by infalling atoms.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17567
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Entanglement, equivalence principle, and HBAR entropy, in a new bumblebee black hole
Filho, A. A. Araújo
Liu, Wentao
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We investigate quantum information and thermodynamic properties of a new bumblebee black hole arising from spontaneous Lorentz symmetry breaking by analyzing near-horizon physics through complementary quantum probes. We study the degradation of quantum entanglement for field modes shared by inertial and accelerated observers in spacelike and lightlike Lorentz-violating vacua that generate identical spacetime metrics. Using the near-horizon Rindler correspondence, we derive analytic expressions for the logarithmic negativity and mutual information and examine their dependence on detector position, frequency, and Lorentz-violation parameters. Despite sharing the same metric, the two Lorentz-violating vacua become distinguishable near the horizon, particularly at low frequencies. We analyze the excitation of a freely falling two-level atom coupled to quantum fields near the horizon. The associated acceleration-radiation transition probabilities are computed explicitly. The resulting atomic response is locally indistinguishable from that in flat spacetime, confirming the validity of the equivalence principle even in the presence of Lorentz-violating corrections. Finally, we extend the notion of horizon-brightened acceleration radiation (HBAR) entropy to the bumblebee black hole and derive the corresponding entropy production rate induced by infalling atoms.
title Entanglement, equivalence principle, and HBAR entropy, in a new bumblebee black hole
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2512.17567