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Related papers: The Page curve and baby universes

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We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional…

High Energy Physics - Theory · Physics 2020-04-22 Ahmed Almheiri , Raghu Mahajan , Juan Maldacena , Ying Zhao

We reformulate recent insights into black hole information in a manner emphasizing operationally-defined notions of entropy, Lorentz-signature descriptions, and asymptotically flat spacetimes. With the help of replica wormholes, we find…

High Energy Physics - Theory · Physics 2021-05-19 Donald Marolf , Henry Maxfield

We propose a simple procedure for evaluating the main thermodynamical attributes of a Schwarzschild's black hole: Bekenstein-Hawking entropy, Hawking's temperature and Bekenstein's quantization of the surface area. We make use of the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 V. Pankovic , M. Predojevic , P. Grujic

If the evaporation of a black hole formed from a pure state is unitary, the entanglement entropy of the Hawking radiation should follow the Page curve, increasing from zero until near the halfway point of the evaporation, and then…

High Energy Physics - Theory · Physics 2021-03-31 Hong Liu , Shreya Vardhan

The entanglement entropy of a black hole, and that of its Hawking radiation, are expected to follow the so-called Page curve: After an increase in line with Hawking's calculation, it is expected to decrease back to zero once the black hole…

Quantum Physics · Physics 2024-04-18 Jonas Glatthard

We compute the black hole entropy and the entanglement entropy of Hawking radiations due to photons during the evaporation of a 4d asymptotically flat Kerr black hole. The Page curve for the Kerr black hole is obtained in the original way…

High Energy Physics - Theory · Physics 2024-10-02 Jun Nian

In this work we suggest a simplified "quasi-classical" formalism of the Schwarzschild black hole thermodynamics. We define such small quantum system at Schwarzschild black hole horizon surface whose reduced Compton wavelength equals one…

General Physics · Physics 2020-09-22 Vladan Pankovic

The comparison of geometrical properties of black holes with classical thermodynamic variables reveals surprising parallels between the laws of black hole mechanics and the laws of thermodynamics. Since Hawking's discovery that black holes…

History and Philosophy of Physics · Physics 2019-03-18 Carina E. A. Prunkl , Christopher G. Timpson

We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the `entanglement membrane'.…

High Energy Physics - Theory · Physics 2024-03-07 Mike Blake , Anthony P. Thompson

We study the Page curve and the information paradox for the BTZ black hole coupled to two thermal baths by applying the island paradigm. We prove that as the island locates outside the event horizon, the entanglement entropy of Hawking…

High Energy Physics - Theory · Physics 2022-04-06 Ming-Hui Yu , Cheng-Yuan Lu , Xian-Hui Ge , Sang-Jin Sin

We study entanglement entropy of quantum fields in a (1+1)-dimensional model of dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction. Scalar matter is coupled to gravity, while the back-reaction…

High Energy Physics - Theory · Physics 2025-07-25 Stefan Đorđević , Voja Radovanović

We present a unitary phenomenological model for black hole evaporation based on the analogy of the laboratory process of spontaneous parametric down conversion (SPDC) when the black hole (pump) is allowed to deplete to zero mass. The model…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Paul M. Alsing

A reformulation of the calculation of the semi-classical energy-momentum tensor on a Schwarzschild background, the Bousso covariant entropy bound, and the ER=EPR conjecture of Maldacena and Susskind taken together suggest a scenario for the…

General Relativity and Quantum Cosmology · Physics 2014-06-17 James M. Bardeen

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

Between 1972 and 1975, Jacob Bekenstein proposed that black holes possess entropy proportional to their horizon area, and Stephen Hawking derived this relationship from semiclassical quantum field theory in curved spacetime, predicting…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Ricardo Bulcão Valente Ferrari , Samuel Bueno Soltau

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 usually stated that the information storing region associated with the Bekenstein-Hawking entropy is enclosed by a sphere of diameter equal twice the Schwarzschild radius. We point out that this cannot apply to a quantum black hole.…

High Energy Physics - Theory · Physics 2024-01-26 Abram Akal

This paper discusses the thermodynamics of a black hole with respect to Hawking radiation and the entropy. We look at a unified picture of black hole entropy and curvature and how this can lead to the usual black hole luminosity due to…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-17 C Sivaram , Kenath Arun

In a recent paper [1], we proposed that the quantum states of black hole responsible for the Bekenstein-Hawking entropy are given by Bell states of Fermi quanta in the interior of black hole. In this paper, we include the effect of…

High Energy Physics - Theory · Physics 2024-09-11 Chong-Sun Chu , Rong-Xin Miao

In this work, we develop an algebraic description of the Page transition, a key feature in black hole evaporation where the entropy of Hawking radiation follows a unitary Page curve instead of monotonically increasing. By applying concepts…

High Energy Physics - Theory · Physics 2026-01-19 Haocheng Zhong
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