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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

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

The black hole information paradox is one of the most important issues in theoretical physics. We review some recent progress using string theory in understanding the nature of black hole microstates. For all cases where these microstates…

High Energy Physics - Theory · Physics 2008-10-27 Samir D. Mathur

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

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 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

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

Thirty years ago, John Preskill concluded "that the information loss paradox may well presage a revolution in fundamental physics" and mused that "Conceivably, the puzzle of black hole evaporation portends a scientific revolution as…

Quantum Physics · Physics 2022-07-20 Stephen Boughn

There still exist many confusions about the black hole information paradox and its resolution. We first give a precise formulation of the paradox, in four steps A-D. Then we examine several proposals for resolving the paradox. We note that…

High Energy Physics - Theory · Physics 2011-08-05 Samir D. Mathur

The black hole information paradox is really a combination of two problems: the causality paradox and the entanglement problem. The causality paradox arises because in the semiclassical approximation infalling matter gets causally trapped…

High Energy Physics - Theory · Physics 2017-03-10 Samir D. Mathur

Hawking's black hole information puzzle highlights the incompatibility between our present understanding of gravity and quantum physics. However, Hawking's prediction of black-hole evaporation is at a semiclassical level. One therefore…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod

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

The black hole information paradox is the result of contradiction between Hawking's semi-classical argument, which dictates that the quantum coherence should be lost during the black hole evaporation and the fundamental principles of…

High Energy Physics - Theory · Physics 2007-05-23 Doyeol Ahn

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 is resolved in string theory by a radical change in the picture of the hole: black hole microstates are horizon sized quantum gravity objects called `fuzzballs' instead of vacuum regions with a central…

High Energy Physics - Theory · Physics 2019-01-01 Samir D. Mathur

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 black hole information paradox is the incompatibility of quantum mechanics with the semi-classical picture of Hawking radiation. Hawking radiation appears thermal and eventually leads to the complete disappearance of a black hole.…

High Energy Physics - Theory · Physics 2021-08-13 Malcolm J. Perry

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

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
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