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In this paper, time-independent Hamiltonian systems are investigated via a Lie-group/algebra formalism. The (unknown) solution linked with the Hamiltonian is considered to be a Lie-group transformation of the initial data, where the group…

Mathematical Physics · Physics 2020-08-10 Sébastien Bertrand

From black hole perturbation theory, quasi-normal modes (QNMs) in spherically symmetric AdS black hole spacetimes are usually studied with the Horowitz and Hubeny methods [1] by imposing the Dirichlet or vanishing energy flux boundary…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Chun-Hung Chen , Hing-Tong Cho , Alan S. Cornell

Black hole firewall paradox is an inconsistency between four postulates in black hole physics: (1) the unitary evolution in quantum systems, (2) application of the semi-classical field theory in low curvature backgrounds, (3) statistical…

High Energy Physics - Theory · Physics 2024-01-29 Kamal Hajian

The information paradox in the quantum evolution of black holes is studied within the framework of the AdS/CFT correspondence. The unitarity of the CFT strongly suggests that all information about an initial state that forms a black hole is…

High Energy Physics - Theory · Physics 2016-08-25 D. A. Lowe , L. Thorlacius

In this paper we argue that a firewall is simply a manifestation of an inconsistent truncation of non-perturbative effects that unitarize the semiclassical black hole. Namely, we show that a naive truncation of quantum corrections to the…

High Energy Physics - Theory · Physics 2016-12-21 Cristiano Germani , Debajyoti Sarkar

't Hooft's derivation of quantum from classical physics is analyzed by means of the classical path integral of Gozzi et al.. It is shown how the key element of this procedure - the loss of information constraint - can be implemented by…

Quantum Physics · Physics 2007-05-23 M. Blasone , P. Jizba , H. Kleinert

Considering the role of black hole singularity in quantum evolution, a resolution to the firewall paradox is presented. It is emphasized that if an observer has the singularity as a part of his spacetime, then the semi-classical evolution…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Furkan Semih Dündar , Kamal Hajian

This talk is about results obtained by Kirill Melnikov and myself pertaining to the canonical quantization of a massless scalar field in the presence of a Schwarzschild black hole. After a brief summary of what we did and how we reproduce…

High Energy Physics - Theory · Physics 2007-05-23 Marvin Weinstein

In his original derivation, Hawking showed that a Schwarzschild black hole is unstable at quantum level and it evolves to a final thermal mixed state violating unitarity. There are some attempts to solve this information paradox based on a…

High Energy Physics - Theory · Physics 2018-05-14 Ali Akil , Oscar Dahlsten , Leonardo Modesto

In this paper we elaborate a hybrid classical-quantum framework which allows one to model and solve heat and mass transfer problems occurring in electric contacts. We utilize special functions and Harrow-Hassidim-Lloyd (HHL) quantum…

Quantum Physics · Physics 2022-05-06 Merey M. Sarsengeldin

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 develop a Hamiltonian formalism which can be used to discuss the physics of a massless scalar field in a gravitational background of a Schwarzschild black hole. Using this formalism we show that the time evolution of the system is…

High Energy Physics - Theory · Physics 2009-11-07 Kirill Melnikov , Marvin Weinstein

We propose to work on the Euclidean black hole solution with a corner rather than with the prevalent conical singularity. As a result, we find that the Wald formula for black hole entropy can be readily obtained for generic $F(R_{abcd})$…

High Energy Physics - Theory · Physics 2026-04-13 Gerui Chen , Wei Guo , Xin Lan , Hongbao Zhang , Wei Zhang

We study the quantum dynamics of a probe scalar field in the background of a black hole in AAdS spacetime in the Hamiltonian formulation of general relativity in the maximal slicing gauge. The black hole solution in this gauge is expressed…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

In this article, we reexamine the derivation of the dynamical equations of the Ashtekar-Olmedo-Singh black hole model in order to determine whether it is possible to construct a Hamiltonian formalism where the parameters that regulate the…

General Relativity and Quantum Cosmology · Physics 2021-07-23 Alejandro García-Quismondo , Guillermo A. Mena Marugán

A Hamiltonian framework is introduced to encompass non-rotating (but possibly charged) black holes that are ``isolated'' near future time-like infinity or for a finite time interval. The underlying space-times need not admit a stationary…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Ashtekar , A. Corichi , K. Krasnov

We elaborate on the anholonomic frame deformation method, AFDM, for constructing exact solutions with quasiperiodic structure in modified gravity theories, MGTs, and general relativity, GR. Such solutions are described by generic…

General Physics · Physics 2018-05-29 Laurenţiu Bubuianu , Sergiu I. Vacaru

We investigate what it means to apply the solution, proposed to the firewall paradox by Harlow and Hayden, to the famous quantum paradoxes of Sch\"odinger's Cat and Wigner's Friend if ones views these as posing a thermodynamic decoding…

General Physics · Physics 2015-02-17 Karl-Georg Schlesinger

We elaborate on the Ashtekar's formalism for spherically symmetric midisuperspaces and, for loop quantization, propound a new quantization scheme which yields a graph-preserving Hamiltonian constraint operator and by which one can impose…

General Relativity and Quantum Cosmology · Physics 2013-01-28 Dah-Wei Chiou , Wei-Tou Ni , Alf Tang

For a real massless scalar field in general relativity with a negative cosmological constant, we uncover a large class of spherically symmetric initial conditions that are close to AdS, but whose numerical evolution does not result in black…

High Energy Physics - Theory · Physics 2014-08-14 Venkat Balasubramanian , Alex Buchel , Stephen R. Green , Luis Lehner , Steven L. Liebling