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We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

Pure states in quantum field theory can be represented by many-fingered block-time wave functions, which treat time on an equal footing with space and make the notions of "time evolution" and "state at a given time" fundamentally…

General Relativity and Quantum Cosmology · Physics 2010-01-15 H. Nikolic

A general formalism for understanding the thermodynamics of horizons in spherically symmetric spacetimes is developed. The formalism reproduces known results in the case of black hole spacetimes. But its power lies in being able to handle…

General Relativity and Quantum Cosmology · Physics 2010-11-19 T. Padmanabhan

We show it is possible for the information paradox in black hole evaporation to be resolved classically. Using standard junction conditions, we attach the general closed spherically symmetric dust metric to a spacetime satisfying all…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frank J. Tipler , Jessica Graber , Matthew McGinley , Joshua Nichols-Barrer , Christopher Staecker

We propose here that the well-known black hole paradoxes such as the information loss and teleological nature of the event horizon are restricted to a particular idealized case, which is the homogeneous dust collapse model. In this case,…

High Energy Physics - Theory · Physics 2016-02-25 Pankaj S. Joshi , Ramesh Narayan

In this paper, we numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability. This non-local and integrable Hamiltonian is constructed by…

High Energy Physics - Theory · Physics 2025-08-28 Masataka Matsumoto , Shuta Nakajima , Masahiro Nozaki , Ryosuke Yoshii

Ordinary quantum mechanics is formulated on the basis of the existence of an ideal classical clock external to the system under study. This is clearly an idealization. As emphasized originally by Salecker and Wigner and more recently by…

High Energy Physics - Theory · Physics 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

The black hole information paradox arises from an apparent conflict between the Hawking black hole radiation and the fact that time evolution in quantum mechanics is unitary. The trouble is that while the former suggests that information of…

General Relativity and Quantum Cosmology · Physics 2016-06-07 E. Okon , D. Sudarsky

The introduction of a relational time in quantum gravity naturally implies that pure quantum states evolve into mixed quantum states. We show, using a recently proposed concrete implementation, that the rate at which pure states naturally…

High Energy Physics - Theory · Physics 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

This study aims to reconcile quantum theory with the universality of the speed of light in vacuum and its implications on relativity through an information-theoretic approach. We introduce the concepts of a holographic sphere and…

General Physics · Physics 2022-12-06 Szymon Łukaszyk

In order to resolve the measurement problem of Quantum Mechanics, non-unitary time evolution has been derived from the unitarity of standard quantum formalism. New wave functions of free and non-free quantum systems follow from Schroedinger…

Quantum Physics · Physics 2007-05-23 Pradip Kumar Chatterjee

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Bojowald

Pseudo-density matrices are a generalisation of quantum states and do not obey monogamy of quantum correlations. Could this be the solution to the paradox of information loss during the evaporation of a black hole? In this paper we discuss…

General Relativity and Quantum Cosmology · Physics 2020-04-02 C. Marletto , V. Vedral , S. Virzì , E. Rebufello , A. Avella , F. Piacentini , M. Gramegna , I. Degiovanni , M. Genovese

Continuity across the shock wave of two regions in the metric during the formation of a black hole can be relaxed in order to achieve information preservation. A Planck scale sized spacetime discontinuity leads to unitarity (a constant…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Michael R. R. Good

We generally consider that entropy and temperature of a spherically symmetric black hole are corrected by quantum effect. We calculate interior entropy variation of massless scalar field and compare it with corrected Bekenstein-Hawking…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Ming Zhang

The black hole information paradox and the black hole entropy are currently extensively researched. The consensus about the solution of the information paradox is not yet reached, and it is not yet clear what can we learn about quantum…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Ovidiu Cristinel Stoica

Quantum mechanics for matter fields moving in an evaporating black hole spacetime is formulated in fully four-dimensional form according to the principles of generalized quantum theory. The resulting quantum theory cannot be expressed in a…

General Relativity and Quantum Cosmology · Physics 2008-02-03 James B. Hartle

Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many- body systems. In the classical case, chaos is a…

Statistical Mechanics · Physics 2019-06-26 Yuri D. Lensky , Xiao-Liang Qi

When it comes to performing thought experiments with black holes, Einstein-Bohr like discussions have to be re-opened. For instance one can ask what happens to the quantum state of a black hole when the wave function of a single ingoing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. 't Hooft

Thermal behavior in subsystems of closed quantum systems is commonly attributed to dynamical chaos, quantum ergodicity, canonical typicality, or the eigenstate thermalization hypothesis, suggesting a fundamentally statistical origin of…

Quantum Physics · Physics 2026-04-13 Uttam Singh , Nicolas J. Cerf