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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

We revisit the question of the contributions of Planckian quantum black holes in general and of remnants in particular to low energy physics observables. As long as quantum gravity preserves the symmetries of the low energy effective field…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Xavier Calmet

In 1974 Steven Hawking showed that black holes emit thermal radiation, which eventually causes them to evaporate. The problem of the fate of information in this process is known as the "black hole information paradox". Two main types of…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Erik Aurell , Michał Eckstein , Paweł Horodecki

In usual quantum theory, the information available about a quantum system is defined in terms of the density matrix describing it on a spacelike surface. This definition must be generalized for extensions of quantum theory which do not have…

General Relativity and Quantum Cosmology · Physics 2009-10-22 James B. Hartle

Recent discovery of the fine-grained entropy formula in gravity succeeded in reconstructing the Page curves that are compatible with unitary evolution. The formula of generalized entropy derived from the gravitational path integration,…

High Energy Physics - Theory · Physics 2024-10-15 Xuanhua Wang , Kun Zhang , Jin Wang

The complete gravitational collapse of a body in general relativity will result in the formation of a black hole. Although the black hole is classically stable, quantum particle creation processes will result in the emission of Hawking…

High Energy Physics - Theory · Physics 2017-08-02 William G. Unruh , Robert M. Wald

This paper is the continuation of a study into the information paradox problem started by the author in his earlier works. As previously, the key instrument is a deformed density matrix in quantum mechanics of the early universe. It is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. E. Shalyt-Margolin

Pseudo-density matrices are a generalisation of quantum states and do not obey monogamy of quantum correlations. Could this be the solution to the paradox of information loss during the evaporation of a black hole? In this paper we discuss…

General Relativity and Quantum Cosmology · Physics 2020-04-02 C. Marletto , V. Vedral , S. Virzì , E. Rebufello , A. Avella , F. Piacentini , M. Gramegna , I. Degiovanni , M. Genovese

Some recent important results on black hole (BH) quantum physics concerning the BH effective state and the natural correspondence between Hawking radiation and BH quasi-normal modes (QNMs) are reviewed, clarified and refined. Such a…

General Relativity and Quantum Cosmology · Physics 2015-07-23 Christian Corda

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

The fate of classical information incident on a quantum black hole has been the subject of an ongoing controversy in theoretical physics, because a calculation within the framework of semi-classical curved-space quantum field theory appears…

General Relativity and Quantum Cosmology · Physics 2014-03-17 Christoph Adami , Greg Ver Steeg

Atoms and the planets acquire their stability from the quantum mechanical incompatibility of the position and momentum measurements. This incompatibility is expressed by the fundamental commutator [x, p_x]=i hbar, or equivalently, via the…

Astrophysics · Physics 2008-11-26 D. V. Ahluwalia

When it comes to performing thought experiments with black holes, Einstein-Bohr like discussions have to be re-opened. For instance one can ask what happens to the quantum state of a black hole when the wave function of a single ingoing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. 't Hooft

Over the years, the so-called black hole information loss paradox has generated an amazingly diverse set of (often radical) proposals. However, forty years after the introduction of Hawking's radiation, there continues to be a debate…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Elias Okon , Daniel Sudarsky

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

The black hole information paradox is a contradiction between fundamental principles which has puzzled physicists for over forty years. The crux of the problem lies in an assumption about the structure of entanglement across the event…

Popular Physics · Physics 2019-01-07 Ro Jefferson

The black-hole information puzzle has attracted much attention over the years from both physicists and mathematicians. One of the most intriguing suggestions to resolve the information paradox is due to Bekenstein, who has stressed the fact…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Shahar Hod

A brief review of the confrontation between black hole physics and quantum-mechanical unitarity is presented. Possibile reconciliations are modifying the laws of physics to allow fundamental loss of information, escape of information during…

High Energy Physics - Theory · Physics 2008-02-03 S. B. Giddings

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

After a brief reminscence about work with K. Sato 25 years ago on the monopole problem and inflation, a discussion is given of the black hole information paradox. It is argued that, quite generally, it should be anticipated that the states…

High Energy Physics - Theory · Physics 2007-05-23 Martin B Einhorn
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