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In semiclassical gravity, the final state of black-hole evaporation cannot be described by a pure state. Nevertheless, we point out that the system can be described by a generalized pure state, which is not defined on a 3-dimensional…

General Relativity and Quantum Cosmology · Physics 2012-04-12 H. Nikolic

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

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

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

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

Analogue gravity can be used to reproduce the phenomenology of quantum field theory in curved spacetime and in particular phenomena such as cosmological particle creation and Hawking radiation. In black hole physics, taking into account the…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Stefano Liberati , Giovanni Tricella , Andrea Trombettoni

In this invited review, we describe Hawking's information paradox and a recently proposed resolution of it. Explicit calculations demonstrate the existence of quantum hair on black holes, meaning that the quantum state of the external…

High Energy Physics - Theory · Physics 2022-08-24 Xavier Calmet , Stephen D. H. Hsu

We study Hawking radiation on the quantum space-time of a collapsing null shell. We use the geometric optics approximation as in Hawking's original papers to treat the radiation. The quantum space-time is constructed by superposing the…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Rodrigo Eyheralde , Miguel Campiglia , Rodolfo Gambini , Jorge Pullin

The black hole information loss paradox has plagued physicists since Hawking's discovery that black holes evaporate thermally in contradiction to the unitarity expected by quantum mechanics. Here we show that one of the central presumptions…

High Energy Physics - Theory · Physics 2009-11-11 John Smolin , Jonathan Oppenheim

The formation and evaporation of a black hole can be viewed as a scattering process in Quantum Gravity. Semiclassical arguments indicate that the process should be non-unitary, and that all the information of the original quantum state…

High Energy Physics - Theory · Physics 2016-09-06 Jorge G. Russo

The fact that canonical quantum gravity does not possess a fundamental notion of time implies that the theory is unitary in a trivial sense. At the fundamental level, this trivial unitarity leaves no room for a black-hole information loss.…

General Relativity and Quantum Cosmology · Physics 2012-05-04 H. Nikolic

In both classical and quantum world, information cannot appear or disappear. This fundamental principle, however, is questioned for a black hole, by the acclaimed "information loss paradox". Based on the conservation laws of energy, charge,…

General Relativity and Quantum Cosmology · Physics 2013-08-13 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

We propose a resolution to the black-hole information-loss paradox: in one formulation of physical theory, information is preserved and macroscopic causality is violated; in another, causality is preserved and pure states evolve to mixed…

High Energy Physics - Theory · Physics 2007-05-23 Mark Srednicki

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

The aim of this work is to present the black hole information problem and discuss the assumptions and hypotheses necessary for its formulation. As the problem arises in the framework of semiclassical gravity, we first review the necessary…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Thiago T. Bergamaschi

We resolve black hole information paradox within semiclassical gravity, in a manner that does not depend on details of unknown quantum gravity. Our crucial insight is that outgoing Hawking particles are physical only far from the black hole…

High Energy Physics - Theory · Physics 2024-09-27 Hrvoje Nikolic

The complete evaporation of black holes, as a natural endpoint of Hawking radiation, gives rise to the black hole information paradox, which fundamentally challenges the principles of unitarity and information conservation in quantum…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Zhilong Liu , Wentao Liu , Zehua Tian , Jieci Wang

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 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

We analyze Hawking evaporation of the Callen-Giddings-Harvey-Strominger (CGHS) black holes from a quantum geometry perspective and show that information is not lost, primarily because the quantum space-time is sufficiently larger than the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Abhay Ashtekar , Victor Taveras , Madhavan Varadarajan
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