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The black hole information paradox tells us something important about the way quantum mechanics and gravity fit together. In these lectures I try to give a pedagogical review of the essential physics leading to the paradox, using mostly…

High Energy Physics - Theory · Physics 2009-01-28 Samir D. Mathur

Stephen Hawking's discovery of black hole evaporation had the remarkable consequence that information is destroyed by a black hole, which can only be accommodated by modifying the laws of quantum mechanics. Different attempts to evade the…

Quantum Physics · Physics 2009-08-27 Steffen Gielen

We investigate the information paradox in the four-dimensional Kerr-Newman black hole by employing the recently proposed island paradigm. We first consider the quantum field in the four-dimensional Kerr-Newman spacetime. By employing the…

High Energy Physics - Theory · Physics 2025-11-07 Ming-Hui Yu , Xian-Hui Ge

John Wheeler coined the phrase "it from bit" or "bit from it" in the 1980s. However, much of the interest in the connection between information, i.e. "bits", and physical objects, i.e. "its", stems from the discovery that black holes have…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Douglas Singleton , Elias C. Vagenas , Tao Zhu

One of the most striking evidences of the information loss paradox is that, according to the Hawking's calculation, the correlation functions of a test scalar field exponentially decay in time. In this paper, I argue that a judicious use of…

High Energy Physics - Theory · Physics 2022-10-05 Cristiano Germani

The information paradox suggests that the black hole loses information when it emits radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum state even if the internal state generating the black-hole is…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ivan Arraut

In this thesis, we have studied the information loss paradox in detail. As a first step, we have derived the main results of quantum field theory in a curved background. We have discussed the case of the free scalar Klein-Gordon field and…

General Relativity and Quantum Cosmology · Physics 2019-12-02 Francisco Martínez López

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 enigma has produced many paradoxes. A consensus regarding the resolution of some conundrums such as the Naked Singularity Paradox and the Black Hole Lost Information Paradox (LIP) has still not been achieved. Black hole…

Astrophysics · Physics 2007-05-23 Mario Rabinowitz

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

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

We revisit information retrieval from evaporating black holes in the Hayden-Preskill protocol, treating the black hole dynamics as Haar-random. We compute, down to the first exponentially suppressed terms, all integer-indexed R\'enyi mutual…

High Energy Physics - Theory · Physics 2023-10-27 Bartlomiej Czech , Sirui Shuai , Haifeng Tang

We consider a novel approach to address the black hole information paradox (BHIP). The idea is based on adapting, to the situation at hand, the modified versions of quantum theory involving spontaneous stochastic dynamical collapse of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Sujoy K. Modak , Leonardo Ortíz , Igor Peña , Daniel Sudarsky

We present an information-theoretic solution to the paradox of black hole information loss.

Mathematical Physics · Physics 2011-11-10 Zeqian Chen

By using the quantum extremal island formula, we perform a simple calculation of the generalized entanglement entropy of Hawking radiation from the two dimensional Liouville black hole. No reasonable island was found when extremizing the…

High Energy Physics - Theory · Physics 2021-12-08 Ran Li , Xuanhua Wang , Jin Wang

We review some recent advances in black hole thermodynamics, including statistical mechanical origins of black hole entropy and its leading order corrections, from the viewpoints of various quantum gravity theories. We then examine the…

High Energy Physics - Theory · Physics 2008-11-26 Saurya Das

We show that the apparent horizon and the region near $r=0$ of an evaporating charged, rotating black hole are timelike. It then follows that for black holes in nature, which invariably have some rotation, have a channel, via which…

General Relativity and Quantum Cosmology · Physics 2021-09-27 Samuel L. Braunstein , Saurya Das , Zhi-Wei Wang

The deep connection between entropy and information is discussed in terms of both classical and quantum physics. The mechanism of information transfer between systems via entanglement is explored in the context of decoherence theory. The…

Quantum Physics · Physics 2021-01-05 Martin Paul Vaughan

The information entropy is here investigated in the context of early and late cosmology under the hypothesis that distinct phases of universe evolution are entangled between them. The approach is based on the \emph{entangled state ansatz},…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Salvatore Capozziello , Orlando Luongo

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