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We consider the black hole information problem in an explicitly defined spacetime modelling black hole evaporation. Using this context we review basic aspects of the problem, with a particular effort to be unambiguous about subtle topics,…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Joseph Schindler , Evan Frangipane , Anthony Aguirre

The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

Quantum Physics · Physics 2009-07-07 Samuel L. Braunstein , Hans-Jürgen Sommers , Karol Życzkowski

The puzzles of black hole evaporation can be studied in the simplified context of 1+1 dimensional gravity. The semi-classical equations of Callan, Giddings, Harvey and Strominger provide a consistent description of the evaporation process…

High Energy Physics - Theory · Physics 2008-11-26 L. Susskind , L. Thorlacius

In this invited review, we discuss the evaporation of a black hole, with emphasis on the resulting macroscopically distinct patterns of Hawking radiation. The density matrix of this radiation can approach a pure final state in the form of a…

High Energy Physics - Theory · Physics 2024-12-19 Xavier Calmet , Stephen D. H. Hsu

Hawking's seminal discovery of black hole evaporation was based on the semi-classical, perturbative method. Whether black hole evaporation may result in the loss of information remains undetermined. The solution to this paradox would most…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Pisin Chen , Misao Sasaki , Dong-han Yeom

Many relativists have been long convinced that black hole evaporation leads to information loss or remnants. String theorists have however not been too worried about the issue, largely due to a belief that the Hawking argument for…

High Energy Physics - Theory · Physics 2015-06-03 Samir D. Mathur

We show that, in order to preserve the equivalence principle until late times in unitarily evaporating black holes, the thermodynamic entropy of a black hole must be primarily entropy of entanglement across the event horizon. For such black…

Quantum Physics · Physics 2013-03-07 Samuel L. Braunstein , Stefano Pirandola , Karol Życzkowski

We study information retrieval from evaporating black holes, assuming that the internal dynamics of a black hole is unitary and rapidly mixing, and assuming that the retriever has unlimited control over the emitted Hawking radiation. If the…

High Energy Physics - Theory · Physics 2009-04-03 Patrick Hayden , John Preskill

It is usually stated that the information storing region associated with the Bekenstein-Hawking entropy is enclosed by a sphere of diameter equal twice the Schwarzschild radius. We point out that this cannot apply to a quantum black hole.…

High Energy Physics - Theory · Physics 2024-01-26 Abram Akal

The black hole information paradox and the black hole entropy are currently extensively researched. The consensus about the solution of the information paradox is not yet reached, and it is not yet clear what can we learn about quantum…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Ovidiu Cristinel Stoica

The purpose of this paper is to analyse, in the light of information theory and with the arsenal of (elementary) quantum mechanics (EPR correlations, copying machines, teleportation, mixing produced in sub-systems owing to a trace…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Ulf H. Danielsson , Marcelo Schiffer

The complete evaporation of black holes, as a natural endpoint of Hawking radiation, gives rise to the black hole information paradox, which fundamentally challenges the principles of unitarity and information conservation in quantum…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Zhilong Liu , Wentao Liu , Zehua Tian , Jieci Wang

The black hole information puzzle can be resolved if two conditions are met. Firstly, if the information of what falls inside a black hole remains encoded in degrees of freedom that persist after the black hole completely evaporates. These…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Alejandro Perez , Sami Viollet

Since Stephen Hawking's original 1975 paper on black hole evaporation, there has been a consensus that the problem of "loss of information" is both deep and troubling. It is also thought that resolution of the problem may hold some…

History and Philosophy of Physics · Physics 2017-05-11 Tim Maudlin

Using standard statistical method, we discover the existence of correlations among Hawking radiations (of tunneled particles) from a black hole. The information carried by such correlations is quantified by mutual information between…

High Energy Physics - Theory · Physics 2011-03-28 Baocheng Zhang , Qing-yu Cai , Li You , M S Zhan

Recently, new holographic models of black hole evaporation have given fresh insights into the information paradox [arXiv:1905.08255, arXiv:1905.08762, arXiv:1908.10996]. In these models, the black hole evaporates into an auxiliary bath…

High Energy Physics - Theory · Physics 2020-07-24 Hong Zhe Chen , Zachary Fisher , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

The black-hole information paradox has fueled a fascinating effort to reconcile the predictions of general relativity and those of quantum mechanics. Gravitational considerations teach us that black holes must trap everything that falls…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Samuel L. Braunstein , Arun K. Pati

An important reason why it is currently difficult to unify relativity theory and quantum theory is the quantum information paradox. The information engulfment pointed out by general relativity violates the principles of quantum mechanics.…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Yangting Liu

Suppose a black hole forms from a pure quantum state $\ket{\psi}$. The black hole information loss paradox arises from semiclassical arguments suggesting that, even in a closed system, the process of black hole formation and evaporation…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Kiran Adhikari

We study information paradox of four dimensional covariant black holes inspired by loop quantum gravity (LQG) with two well motivated solutions. We first prepare the spacetime in the Hartle-Hawking state, compute the radiation entropy and…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Yongbin Du , Jia-Rui Sun , Xiangdong Zhang