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We argue that four-dimensional black hole evaporation inevitably produces an infinite number of soft particles in addition to the thermally distributed `hard' Hawking quanta, and moreover that the soft and hard particles are highly…

High Energy Physics - Theory · Physics 2017-06-23 Andrew Strominger

Almost all of the entropy in the universe is in the form of Bekenstein--Hawking (BH) entropy of super-massive black holes. This entropy, if it satisfies Boltzmann's equation $S=\log{\cal N}$, hence represents almost all the accessible phase…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Erik Aurell , Michał Eckstein , Paweł Horodecki

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 trans-Planckian and information loss problems are usually discussed in the literature as separate issues concerning the nature of Hawking radiation. Here we instead argue that they are intimately linked, and can be understood as "two…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Stefano Liberati , Lorenzo Sindoni , Sebastiano Sonego

We argue that the following three statements cannot all be true: (i) Hawking radiation is in a pure state, (ii) the information carried by the radiation is emitted from the region near the horizon, with low energy effective field theory…

High Energy Physics - Theory · Physics 2015-06-05 Ahmed Almheiri , Donald Marolf , Joseph Polchinski , James Sully

The total number of Hawking quanta emitted during the evaporation of a Schwarzschild black hole is proportional to the square of the initial mass or, equivalently, to the Bekenstein entropy. This simple, but little appreciated, fact is…

High Energy Physics - Theory · Physics 2016-07-08 Wolfgang Mück

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

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

There have been various interpretations of Hawking radiation proposed based on the perturbative approach, and all have confirmed Hawking's original finding. One major conceptual challenge of Hawking evaporation is the associated black hole…

High Energy Physics - Theory · Physics 2019-08-01 Pisin Chen , Misao Sasaki , Dong-han Yeom

An effective black-hole-like horizon occurs, for electromagnetic waves in matter, at a surface of singular electric and magnetic permeabilities. In a physical dispersive medium this horizon disappears for wave numbers with $k>k_c$.…

General Relativity and Quantum Cosmology · Physics 2009-10-30 B. Reznik

This paper investigates the information loss paradox in the WKB/tunneling picture of Hawking radiation. In the tunneling picture one can obtain the tunneling amplitude to all orders in $\hbar$. However all terms beyond the lowest,…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Douglas Singleton , Elias C. Vagenas , Tao Zhu , Ji-Rong Ren

We analyze the physical consequences of scattering Hawking radiation emitted in the vicinity of the horizon of a Schwarzschild black hole. The Hawking radiation from the horizon becomes soft at a large distance away from the horizon due to…

High Energy Physics - Theory · Physics 2025-07-24 Peng Cheng

Stephen Hawking's derivation of Hawking radiation relied on one particular spacetime model, that of a star collapsing into a black hole which then remains in existence forever. He then argued that Hawking radiation implies this model should…

History and Philosophy of Physics · Physics 2024-12-17 Dominic Ryder

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

Mathematical Physics · Physics 2011-11-10 Zeqian Chen

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

In this paper, we review some methods that tried to solve the information loss problem. In particular, we revisit the solution based on Hawking radiation as tunneling, and provide a detailed statistical interpretation on the black hole…

General Relativity and Quantum Cosmology · Physics 2025-02-17 Baocheng Zhang , Christian Corda , Qing-yu Cai

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 arises from an apparent conflict between the Hawking black hole radiation and the fact that time evolution in quantum mechanics is unitary. The trouble is that while the former suggests that information of…

General Relativity and Quantum Cosmology · Physics 2016-06-07 E. Okon , D. Sudarsky

Information about the collapsed matter in a black hole will be lost if Hawking radiations are truly thermal. Recent studies discover that information can be transmitted from a black hole by Hawking radiations, due to their spectrum…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

Hawking's seminal work on black hole radiation highlights a critical issue in our understanding of quantum field theory in curved spacetime (QFTCS), specifically the problem of unitarity loss (where pure states evolve into mixed states). In…

General Relativity and Quantum Cosmology · Physics 2024-12-13 K. Sravan Kumar , João Marto