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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

There has been recent speculation that the tunneling paradigm for Hawking radiation could -- after quantum-gravitational effects have suitably been incorporated -- provide a means for resolving the (black hole) information loss paradox. A…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. J. M. Medved , Elias C. Vagenas

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

We compute the mutual information of two Hawking particles emitted consecutively by an evaporating black hole. Following Page, we find that the mutual information is of order exp(-S) where S is the entropy of the black hole. We speculate on…

High Energy Physics - Theory · Physics 2013-10-30 Norihiro Iizuka , Daniel Kabat

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

When two objects have gravitational interaction between them, they are no longer independent of each other. In fact, there exists gravitational correlation between these two objects. Inspired by E. Verlinde's paper, we first calculate the…

High Energy Physics - Theory · Physics 2016-09-22 Dongshan He , Qing-yu Cai

In this paper, we analyze whether quantum correlations between successive steps of evaporation can open any way to resolve the black hole information paradox. Recently a celebrated result in literature shows that `small' correction to…

High Energy Physics - Theory · Physics 2014-12-18 Avik Roy , Moinul Hossain Rahat , Mishkat Al Alvi , Md. Abdul Matin

Black holes emit thermal radiation (Hawking effect). If after black-hole evaporation nothing else were left, an arbitrary initial state would evolve into a thermal state (`information-loss problem'). Here it is argued that the whole…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Claus Kiefer

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

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 investigate the meaning of the entropy carried away by Hawking radiations from a black hole. We propose that the entropy for a black hole measures the uncertainty of the information about the black hole forming matter's precollapsed…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Baocheng Zhang , Qing-yu Cai , Ming-sheng Zhan , Li You

The Bekenstein-Hawking equation states that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, this equation leads to an inconsistency among the…

High Energy Physics - Theory · Physics 2025-04-04 Koji Azuma , Sathyawageeswar Subramanian , Go Kato

This study investigates the evaporation process of a Schwarzschild black hole, incorporating quantum corrections arising from conformal anomaly and vacuum polarization. We demonstrate that these corrections significantly alter the Hawking…

High Energy Physics - Theory · Physics 2026-05-26 Moslem Shafiee , Ahmad Sheykhi

We provide further evidence that information is preserved during black hole evaporation and may be recoverable, provided quantum gravitational effects resolve the singularity. We demonstrate that due to quantum gravity effects, black holes…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Meysam Motaharfar , Parampreet Singh

We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Sajad Aghapour , Kamal Hajian

We show that, in order to preserve the equivalence principle until late times in unitarily evaporating black holes, the thermodynamic entropy of a black hole must be primarily entropy of entanglement across the event horizon. For such black…

Quantum Physics · Physics 2013-03-07 Samuel L. Braunstein , Stefano Pirandola , Karol Życzkowski

The conservation of information of evaporating black holes is a very natural consequence of unitarity which is the fundamental symmetry of quantum mechanics. In order to study the conservation of information, we need to understand the…

High Energy Physics - Theory · Physics 2022-09-02 Jeong-Myeong Bae , Dong Jin Lee , Dong-han Yeom , Heeseung Zoe

We compute the entropy of the Hawking radiation for an evaporating black hole, in 1+1 dimensions and in 3+1 dimensions. We investigate the validity of the semiclassical approximation for the evaporation process. It appears that there might…

High Energy Physics - Theory · Physics 2008-02-03 Samir D. Mathur

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

We consider black-hole evaporation from a hidden-variables perspective. It is suggested that Hawking information loss, associated with the transition from a pure to a mixed quantum state, is compensated for by the creation of deviations…

High Energy Physics - Theory · Physics 2007-05-23 Antony Valentini