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Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

There is natural association of entropy with gravitational systems on one hand and partition of natural numbers on the other hand. We show that given a partition of natural numbers, it is possible to directly associate a metric with it.…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Atreya Chatterjee

Since Hawking's 1974 discovery, we expect that a black hole formed by collapse will emit radiation and eventually disappear. Closely related to the information loss puzzle is the challenge to define an objective notion of physical entropy…

High Energy Physics - Theory · Physics 2023-03-31 Bernard S. Kay

Since the discovery of Hawking radiation, its consistency with quantum theory has been widely questioned. In the widely described picture, irrespective of what initial state a black hole starts with before collapsing, it eventually evolves…

General Relativity and Quantum Cosmology · Physics 2014-03-31 Baocheng Zhang , Qingyu Cai , Mingsheng Zhan , Li You

We investigate the meaning of the entropy carried away by Hawking radiations from a black hole. We propose that the entropy for a black hole measures the uncertainty of the information about the black hole forming matter's precollapsed…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ted Jacobson

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Sajad Aghapour , Kamal Hajian

Hawking showed that a black hole formed by collapse will emit radiation and eventually disappear. We address the challenge to define an objective notion of physical entropy which increases throughout this process in a way consistent with…

General Relativity and Quantum Cosmology · Physics 2023-12-18 Bernard S. Kay

We argue that the entropy of a black hole is due to the entanglement of matter fields and gravitons across the horizon. While the entanglement entropy of the vacuum is divergent because of UV correlations, we show that low-energy…

General Relativity and Quantum Cosmology · Physics 2013-01-08 Eugenio Bianchi

It was found in [Phys.Lett.B 675 (2009) 98] that information is conserved in the process of black hole evaporation, by using the tunneling formulism and considering the correlations between emitted particles. In this Letter, we shall…

High Energy Physics - Theory · Physics 2014-11-18 Yi-Xin Chen , Kai-Nan Shao

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

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

We revisit in detail the paradox of black hole information loss due to Hawking radiation as tunneling. We compute the amount of information encoded in correlations among Hawking radiations for a variety of black holes, including the…

High Energy Physics - Theory · Physics 2011-02-01 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

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

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

All entropy is entanglement entropy. This appears as the result of the existence of black holes. The origin of entropy and the way in which it defines the perceived time direction in macroscopic systems has been discussed and can be debated…

General Physics · Physics 2022-11-10 Andrei T. Patrascu

We present a microscopic statistical-mechanical foundation for interpreting the horizon area of a scrambling black hole as coherent information, equivalently negative conditional quantum entropy, in Hawking's pair-creation picture. We…

High Energy Physics - Theory · Physics 2026-05-26 Koji Azuma

In this review, we describe recent progress on the black hole information problem that involves a new understanding of how to calculate the entropy of Hawking radiation. We show how the method for computing gravitational fine-grained…

High Energy Physics - Theory · Physics 2021-07-28 Ahmed Almheiri , Thomas Hartman , Juan Maldacena , Edgar Shaghoulian , Amirhossein Tajdini

In this work, we investigate the properties of Hawking radiation induced by the quantum atmosphere beyond the event horizon, by considering two detectors in Schwarzschild spacetime with the parameterized Hartle-Hawking temperature.…

General Relativity and Quantum Cosmology · Physics 2025-06-16 Shuai Zhang , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

The black hole information puzzle arises from a discrepancy between conclusions drawn from general relativity and quantum theory about the nature of the radiation emitted by a black hole. According to Hawking's original argument, the…

High Energy Physics - Theory · Physics 2021-12-24 Renato Renner , Jinzhao Wang
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