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We study the relative entropy of highly excited quantum states. First, we sample states from the Wishart ensemble and develop a large-N diagrammatic technique for the relative entropy. The solution is exactly expressed in terms of…

High Energy Physics - Theory · Physics 2021-04-28 Jonah Kudler-Flam

We use the Holevo information in a two-dimensional conformal field theory (CFT) with a large central charge $c$ to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual…

High Energy Physics - Theory · Physics 2019-01-02 Wu-zhong Guo , Feng-Li Lin , Jiaju Zhang

We calculate the intrinsic entropy of a Schwarzschild black hole in an asymptotically antide Sitter space. The statistical calculation of the entropy is based on a model for particle structure that leads to confinement. The constituents of…

General Relativity and Quantum Cosmology · Physics 2019-07-15 Moorad Alexanian

We consider the entropy of a black hole which has zero area horizon. The microstates appear as monopole solutions of the effective theory on the corresponding brane configurations.The resulting entropy formula coincides with the one…

High Energy Physics - Theory · Physics 2009-10-31 Takao Suyama

The entropy of a black hole can be obtained by counting states in loop quantum gravity. The dominant term depends on the Immirzi parameter involved in the quantization and is proportional to the area of the horizon, while there is a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ghosh , P. Mitra

This is an expanded version of the short report [Phys. Rev. Lett. 126, 171603 (2021)], where the relative entropy was used to distinguish random states drawn from the Wishart ensemble as well as black hole microstates. In this work, we…

High Energy Physics - Theory · Physics 2022-02-08 Jonah Kudler-Flam , Vladimir Narovlansky , Shinsei Ryu

The properties of the thermal radiation are discussed by using the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity. There is no burst at the last stage of the emission of a Schwarzshild…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Li Xiang

Extending our previous work, we study the relative entropy between the reduced density matrices obtained from globally excited states in conformal field theories of arbitrary dimensions. We find a general formula in the small subsystem size…

High Energy Physics - Theory · Physics 2017-03-08 Gábor Sárosi , Tomonori Ugajin

Although all popular approaches to quantum gravity are able to recover the Bekenstein-Hawking entropy-area law in the thermodynamic limit, there are significant differences in their descriptions of the microstates and in the application of…

High Energy Physics - Theory · Physics 2010-02-19 Cenalo Vaz , L. C. R. Wijewardhana

The aim of this work is to study the role of relative entropy in the thermodynamics of black holes and cosmological horizons. We adapt some recent results on the relative entropy of coherent excitations of the vacuum, to find the variation…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Edoardo D'Angelo

The BTZ stationary black hole solution is considered and its mass and angular momentum are calculated by means of Noether theorem. In particular, relative conserved quantities with respect to a suitably fixed background are discussed.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 L. Fatibene , M. Ferraris , M. Francaviglia , M. Raiteri

Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we…

General Relativity and Quantum Cosmology · Physics 2022-05-27 Li-Hua Wang , Meng-Sen Ma

Black hole entropy is identified with the counting of the dynamical degrees of freedom of trapped gravitational modes continually sourced by the Hawking-Unruh process. In the context of linear perturbations of Schwarzschild spacetime the…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Seth Major , Daniel Rodriguez , Thomas Takis

We argue that the statistical entropy relevant for the thermal interactions of a black hole with its surroundings is (the logarithm of) the number of quantum microstates of the hole which are distinguishable from the hole's exterior, and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlo Rovelli

Several results of black holes thermodynamics can be considered as firmly founded and formulated in a very general manner. From this starting point we analyse in which way these results may give us the opportunity to gain a better…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. P. Badiali

The entropy of a quantum-statistical system which is classically approximated by a general stationary eternal black hole is studied by means of a microcanonical functional integral. This approach opens the possibility of including…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erik A. Martinez

The quasi-local notion of an isolated horizon is employed to study the entropy of black holes without any particular symmetry in loop quantum gravity. The idea of characterizing the shape of a horizon by a sequence of local areas is…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Shupeng Song , Haida Li , Yongge Ma , Cong Zhang

In systems with a large degeneracy of states such as black holes, one expects that the average value of probe correlation functions will be well approximated by the thermal ensemble. To understand how correlation functions in individual…

High Energy Physics - Theory · Physics 2008-11-26 Vijay Balasubramanian , Bartlomiej Czech , Veronika Hubeny , Klaus Larjo , Mukund Rangamani , Joan Simon

This study investigates the implications of adopting fractional entropy in the area law framework and demonstrates its natural alignment with an isothermal description of black hole composition. We discuss the Zeroth law compatibility of…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Manosh T. Manoharan , N. Shaji

Black hole entropy is derived from a sum over boundary states. The boundary states are labeled by energy and momentum surface densities, and parametrized by the boundary metric. The sum over state labels is expressed as a functional…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown
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