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I distinguish between two versions of the black hole information-loss paradox. The first arises from apparent failure of unitarity on the spacetime of a completely evaporating black hole, which appears to be non-globally-hyperbolic; this is…

General Relativity and Quantum Cosmology · Physics 2018-06-18 David Wallace

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 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

The information loss paradox is widely regarded as one of the biggest open problems in theoretical physics. Several classical and quantum features must be present to enable its formulation. First, an event horizon is needed to justify the…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Robert B. Mann , Sebastian Murk , Daniel R. Terno

The origin of black hole entropy and the black hole information problem provide important clues for trying to piece together a quantum theory of gravity. Thus far, discussions on this topic have mostly assumed that in a consistent theory of…

High Energy Physics - Theory · Physics 2012-10-02 Markus P. Mueller , Jonathan Oppenheim , Oscar C. O. Dahlsten

Black holes have been implicated in two paradoxes that involve apparently non-unitary dynamics. According to Hawking's theory, information that is absorbed by a black hole is destroyed, and the originally pure state of a black hole is…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Christoph Adami

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

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

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

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

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

It is sometimes believed that small quantum gravity corrections to the Hawking radiation process can encode the correlations required to solve the black hole information paradox. Recently an inequality on the entanglement entropy of…

High Energy Physics - Theory · Physics 2015-05-20 Samir D. Mathur

We review recent progress on the information paradox. We explain why exponentially small correlations in the radiation emitted by a black hole are sufficient to resolve the original paradox put forward by Hawking. We then describe a…

High Energy Physics - Theory · Physics 2021-02-02 Suvrat Raju

The black hole information paradox apparently indicates the need for a fundamentally new ingredient in physics. The leading contender is nonlocality. Possible mechanisms for the nonlocality needed to restore unitarity to black hole…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

The aim of this chapter is twofold. First, we introduce the information loss problem; second, we provide a critical assessment by thoroughly inspecting the assumptions underlying its formulations. In particular, we argue that if we work in…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Luca Buoninfante , Francesco Di Filippo

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

Hawking's 1974 calculation of thermal emission from a classical black hole led to his 1976 proposal that information may be lost from our universe as a pure quantum state collapses gravitationally into a black hole, which then evaporates…

High Energy Physics - Theory · Physics 2008-02-03 Don N. Page

The evaporation of black holes into apparently thermal radiation poses a serious conundrum for theoretical physics: at face value, it appears that in the presence of a black hole quantum evolution is non-unitary and destroys information.…

High Energy Physics - Theory · Physics 2011-07-11 Vijay Balasubramanian , Bartlomiej Czech

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

It is argued that the blackhole information paradox originates from treating the blackhole geometry as strictly classical. It is further argued that the theory of quantum fields in a classical curved space with a horizon is an ill posed…

High Energy Physics - Theory · Physics 2012-09-13 Ram Brustein