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Related papers: Page curve and symmetries

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In this work, we develop an algebraic description of the Page transition, a key feature in black hole evaporation where the entropy of Hawking radiation follows a unitary Page curve instead of monotonically increasing. By applying concepts…

High Energy Physics - Theory · Physics 2026-01-19 Haocheng Zhong

Black hole thermodynamics suggests that, in order to describe the physics of distant observers, one may model a black hole as a standard quantum system with density of states set by the Bekenstein-Hawking entropy $S_\mathrm{BH}$. This idea…

High Energy Physics - Theory · Physics 2022-01-26 Donald Marolf , Henry Maxfield

We propose a simple quantum field theoretical toy model for black hole evaporation and study the back-reaction of Hawking radiation onto the classical background. It turns out that the horizon is also ``pushed back'' in this situation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clovis Maia , Ralf Schützhold

The Page curve is a curve of average subsystem entropy as a function of subsystem size. The curve starts from 0, rises, peaks near the maximal possible entropy when the subsystem makes up half of the total system, and then falls back to 0.…

Quantum Physics · Physics 2025-10-03 Oscar C. O. Dahlsten

For an evaporating black hole which is a radiation-black hole combined system, we express the entanglement entropy and the Page time in terms of the conformal time in the RST model. The entropy change of the black hole is nicely written in…

High Energy Physics - Theory · Physics 2014-09-17 Myungseok Eune , Yongwan Gim , Wontae Kim

Recently, several simple quantum mechanical toy models of black hole evaporation have appeared in the literature attempting to illuminate the black hole information paradox. We present a general class of models that is large enough to…

High Energy Physics - Theory · Physics 2012-08-27 Steven G. Avery

We propose a unitary toy model of black hole evaporation, in which the entanglement between the interior and exterior degrees of freedom vanishes at late times. Our model possesses the information-free property and satisfies the niceness…

High Energy Physics - Theory · Physics 2015-05-28 Bartłomiej Czech , Klaus Larjo , Moshe Rozali

A paradigm describing black hole evaporation in non-perturbative quantum gravity is developed by combining two sets of detailed results: i) resolution of the Schwarzschild singularity using quantum geometry methods; and ii) time-evolution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Martin Bojowald

We present a controllable quantum spin-chain model that reproduces the Page curve (the rise-and-fall of bipartite entanglement expected in black-hole evaporation), using only local interactions and a kinematic reduction of the subsystem…

Quantum Physics · Physics 2026-05-07 Samuel J. W. Jones , M. Basil Altaie , Benjamin T. H. Varcoe

A reformulation of the calculation of the semi-classical energy-momentum tensor on a Schwarzschild background, the Bousso covariant entropy bound, and the ER=EPR conjecture of Maldacena and Susskind taken together suggest a scenario for the…

General Relativity and Quantum Cosmology · Physics 2014-06-17 James M. Bardeen

In this paper we argue for a close connection between the non-existence of global symmetries in quantum gravity and a unitary resolution of the black hole information problem. In particular we show how the essential ingredients of recent…

High Energy Physics - Theory · Physics 2021-05-05 Daniel Harlow , Edgar Shaghoulian

In this paper, we analyze whether quantum correlations between successive steps of evaporation can open any way to resolve the black hole information paradox. Recently a celebrated result in literature shows that `small' correction to…

High Energy Physics - Theory · Physics 2014-12-18 Avik Roy , Moinul Hossain Rahat , Mishkat Al Alvi , Md. Abdul Matin

Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the average entanglement entropy associated with each possible spatial bipartition of the system. In this work, we study a natural extension in the…

High Energy Physics - Theory · Physics 2022-08-31 Sara Murciano , Pasquale Calabrese , Lorenzo Piroli

There have been a number of suggestions that the r = 0 singularity of a spherically symmetric (uncharged) evaporating black hole can be circumvented by a quantum transition to a white hole, which eventually releases all trapped quantum…

General Relativity and Quantum Cosmology · Physics 2019-04-08 James M. Bardeen

Explicitly computed Penrose diagrams are plotted for a classical model of black hole formation and evaporation, in which black holes form by the accretion of infalling spherical shells of matter and subsequently evaporate by emitting…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Joseph C Schindler , Anthony Aguirre , Amita Kuttner

We study the evaporation process of a 2D black hole in thermal equilibrium when the ingoing radiation is switched off suddenly. We also introduce global symmetries of generic 2D dilaton gravity models which generalize the extra symmetry of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Cruz , J. Navarro-Salas , M. Navarro , C. F. Talavera

Hawking's discovery that black holes can evaporate through radiation emission has posed a number of questions that with time became fundamental hallmarks for a quantum theory of gravity. The most famous one is likely the information…

High Energy Physics - Theory · Physics 2024-09-17 Filiberto Ares , Sara Murciano , Lorenzo Piroli , Pasquale Calabrese

Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson-Visser "black-bounce" geometry as an elegant, analytically tractable framework, we…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Vinayak Joshi , Ashok B. Joshi

Black hole evaporation is one of the most striking phenomena at the interface between gravity and quantum physics. In Hawking's semi-classical treatment, where matter is quantum mechanical and the spacetime is definite and classical,…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Ali Akil , Lorenzo Giannelli , Leonardo Modesto , Oscar Dahlsten , Giulio Chiribella , Caslav Brukner

We consider an analytically tractable model that exhibits the main features of the Page curve characterizing the evolution of entanglement entropy during evaporation of a black hole. Our model is a gas of non-interacting fermions on a…

Quantum Physics · Physics 2024-03-01 Madhumita Saha , Manas Kulkarni , Abhishek Dhar