Vacuum-purified Hawking radiation from evaporating black holes: Lessons from moving mirrors

Fuente: arXiv
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Autores principales: Agullo, Ivan, Cabrera, Paula Calizaya, Navascués, Beatriz Elizaga
Formato: Preprint
Publicado: 2025
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author Agullo, Ivan
Cabrera, Paula Calizaya
Navascués, Beatriz Elizaga
author_facet Agullo, Ivan
Cabrera, Paula Calizaya
Navascués, Beatriz Elizaga
contents This article investigates the possibility that Hawking-like quanta emitted by a moving mirror can be purified by late-time vacuum fluctuations, as proposed in Ref. [1]. Our motivation originates from recent discussions in Refs. [2,3] on whether vacuum purification necessarily entails a prohibitively large (indirect) energy cost, and our goal is to help clarify this issue. We identify the aspects of the mirror trajectory that determine the partners of Hawking quanta, as well as those that govern the energy carried to future null infinity. This allows us to highlight a fundamental disconnection within quantum field theory between the fluxes of quantum information (or purification) and energy. Throughout, we focus on quantities such as local correlation functions and energy fluxes, thereby avoiding reliance on a particle-based interpretation. Finally, we introduce an analytic mirror trajectory that produces Hawking radiation with an adiabatically varying temperature, mimicking the emission from an evaporating black hole. Our analysis identifies constraints on the mirror trajectory under which vacuum purification remains compatible with a prescribed energy budget, and we discuss the lessons that may be drawn from this model for realistic evaporating black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18354
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vacuum-purified Hawking radiation from evaporating black holes: Lessons from moving mirrors
Agullo, Ivan
Cabrera, Paula Calizaya
Navascués, Beatriz Elizaga
General Relativity and Quantum Cosmology
This article investigates the possibility that Hawking-like quanta emitted by a moving mirror can be purified by late-time vacuum fluctuations, as proposed in Ref. [1]. Our motivation originates from recent discussions in Refs. [2,3] on whether vacuum purification necessarily entails a prohibitively large (indirect) energy cost, and our goal is to help clarify this issue. We identify the aspects of the mirror trajectory that determine the partners of Hawking quanta, as well as those that govern the energy carried to future null infinity. This allows us to highlight a fundamental disconnection within quantum field theory between the fluxes of quantum information (or purification) and energy. Throughout, we focus on quantities such as local correlation functions and energy fluxes, thereby avoiding reliance on a particle-based interpretation. Finally, we introduce an analytic mirror trajectory that produces Hawking radiation with an adiabatically varying temperature, mimicking the emission from an evaporating black hole. Our analysis identifies constraints on the mirror trajectory under which vacuum purification remains compatible with a prescribed energy budget, and we discuss the lessons that may be drawn from this model for realistic evaporating black holes.
title Vacuum-purified Hawking radiation from evaporating black holes: Lessons from moving mirrors
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.18354