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The black hole information paradox is a contradiction between fundamental principles which has puzzled physicists for over forty years. The crux of the problem lies in an assumption about the structure of entanglement across the event…

Popular Physics · Physics 2019-01-07 Ro Jefferson

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

We present the quantization of the electromagnetic field near the event horizon of a Schwarzschild black hole using Euclidean path integrals. Our result for the vacuum energy describes a black hole surrounded by a finite volume of photons…

High Energy Physics - Theory · Physics 2026-02-03 Victor H. Alencar

We study two disjoint universes in an entangled pure state. When only one universe contains gravity, the path integral for the $n^{\text{th}}$ R\'enyi entropy includes a wormhole between the $n$ copies of the gravitating universe, leading…

High Energy Physics - Theory · Physics 2022-09-28 Vijay Balasubramanian , Arjun Kar , Tomonori Ugajin

Information theory is increasingly invoked by physicists concerned with fundamental physics, including black hole physics. But to what extent is the application of information theory in those contexts legitimate? Using the case of black…

History and Philosophy of Physics · Physics 2017-09-21 Christian Wuthrich

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes…

High Energy Physics - Theory · Physics 2022-05-18 Cao H. Nam

Unitary evolution makes pure state on one Cauchy surface evolve to pure state on another Cauchy surface. Outgoing Hawking radiation is only subsystem on the late Cauchy surface. The requirement that Hawking radiation to be pure amounts to…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Wen-Cong Gan , Fu-Wen Shu

A semiclassical analysis shows that in the process of black hole formation and evaporation, an initial pure state will evolve to a mixed state, i.e., information will be lost. One way of avoiding this conclusion without invoking drastic…

General Relativity and Quantum Cosmology · Physics 2019-09-30 Robert M. Wald

The Black Hole enigma has produced many paradoxes. A consensus regarding the resolution of some conundrums such as the Naked Singularity Paradox and the Black Hole Lost Information Paradox (LIP) has still not been achieved. Black hole…

Astrophysics · Physics 2007-05-23 Mario Rabinowitz

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

It is usually thought that the efolds number of inflation must be bounded by its de Sitter entropy, otherwise we will have an information paradox. However, in light of the island rule for computing the entanglement entropy, we show that…

High Energy Physics - Theory · Physics 2023-06-21 Yun-Song Piao

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

Mathematical Physics · Physics 2011-11-10 Zeqian Chen

We explore a potential connection between the black hole information paradox and the double descent phenomenon in quantum machine learning. Information retrieval from Hawking radiation can be viewed through the lens of quantum linear…

Quantum Physics · Physics 2025-06-12 Jae-Weon Lee , Zae Young Kim

The back reactions of Hawking radiation allow nontrivial correlations between consecutive Hawking quanta, which gives a possible way of resolving the paradox of black hole information loss known as the hidden messenger method. In a recent…

General Relativity and Quantum Cosmology · Physics 2018-06-11 Xiao-Kan Guo , Qing-yu Cai

We show that Hawking black-hole evaporation saturates the Landauer Principle of information thermodynamics. Our result implies that information loss experienced by a black hole during Hawking evaporation takes place as efficiently as…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Marina Cortês , Andrew R Liddle

We study the Page curve in the four dimensional asymptotically flat eternal Garfinkle-Horowitz-Strominger dilaton black holes by applying the "quantum extremal surface" prescription. The results demonstrate that without island, the…

High Energy Physics - Theory · Physics 2022-03-25 Ming-Hui Yu , Xian-Hui Ge

We deal with the black hole information loss paradox by showing that the stimulated emission component of the black hole radiation contains information about the initial state of the system. The nonlocal behaviour that allows the recovery…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Mueller , Carlos O. Lousto

Treating Maxwell soft hair as a transition function that relates U(1) gauge fields living in the asymptotic region and near-horizon region, the U(1) gauge parameter $\phi$ naturally becomes a good label of those Maxwell soft hair degrees of…

High Energy Physics - Theory · Physics 2021-06-30 Peng Cheng , Yang An

I recall my 'matter-gravity entanglement hypothesis' and briefly review the evidence for it, based partly on its seeming ability to resolve a number of puzzles related to quantum black holes including the black hole information loss puzzle.…

Quantum Physics · Physics 2020-10-01 Bernard S. Kay

The black hole firewall conjecture is based on Page curve hypothesis, which claims that entanglement between black hole and Hawking radiation is almost maximum. The hypothesis is inspired by Lubkin-Lloyd-Pagels-Page theorem for degenerate…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Masahiro Hotta , Ayumu Sugita