Quasi-normal modes: The ``electrons'' of black holes as ``gravitational atoms''? Implications for the black hole information puzzle
type: Item
instance of: scholarly article
title: Quasi-normal modes: The ``electrons'' of black holes as ``gravitational atoms''? Implications for the black hole information puzzle
zbMATH Open document ID: 1433.83015
DOI: 10.1155/2015/867601
author: Christian Corda
published in: Advances in High Energy Physics
publication date: 2015-11-06T00:00:00Z
full work available at URL: https://arxiv.org/abs/1503.00565
review text: Summary: Some recent important results on black hole (BH) quantum physics concerning the \textit{BH effective state} and the natural correspondence between Hawking radiation and BH quasi-normal modes (QNMs) are reviewed, clarified, and refined. Such a correspondence permits one to naturally interpret QNMs as quantum levels in a semiclassical model. This is a model of BH somewhat similar to the historical semiclassical model of the structure of a hydrogen atom introduced by Bohr in 1913. In a certain sense, QNMs represent the ``electron'' which jumps from a level to another one and the absolute values of the QNMs frequencies, ``triggered'' by emissions (Hawking radiation) and absorption of particles, represent the energy ``shells'' of the ``gravitational hydrogen atom''. Important consequences on the BH information puzzle are discussed. In fact, it is shown that the time evolution of this ``Bohr-like BH model'' obeys a \textit{time dependent Schrödinger equation} which permits the final BH state to be a \textit{pure quantum} state instead of a mixed one. Thus, information comes out in BH evaporation in agreement with the assumption by 't Hooft that Schrödinger equations can be used universally for all dynamics in the universe. We also show that, in addition, our approach solves the entanglement problem connected with the information paradox.
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 81P45
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 35Q41
zbMATH DE Number: 6505182
Wikidata QID: Q59101949
MaRDI profile type: Publication
OpenAlex ID: W3104079379
arXiv ID: 1503.00565
cites work: Particle creation by black holes
cites work: Hawking Radiation As Tunneling
cites work: A secret tunnel through the horizon
cites work: Hawking radiation as tunnelling: theD-dimensional rotating case
cites work: ON HAWKING RADIATION AS TUNNELING WITH BACK-REACTION
cites work: Time dependent Schrödinger equation for black hole evaporation: No information loss
cites work: EFFECTIVE TEMPERATURE, HAWKING RADIATION AND QUASINORMAL MODES
cites work: Effective temperature for black holes
cites work: Effective state, Hawking radiation and quasi-normal modes for Kerr black holes
cites work: Hawking radiation-quasi-normal modes correspondence and effective states for nonextremal Reissner-Nordström black holes
cites work: Entropy is conserved in Hawking radiation as tunneling: a revisit of the black hole information loss paradox
cites work: Information conservation is fundamental: recovering the lost information in Hawking radiation
cites work: Physical Interpretation of the Spectrum of Black Hole Quasinormal Modes
cites work: DO SUBLEADING CORRECTIONS TO BEKENSTEIN–HAWKING ENTROPY HOLD THE KEY TO QUANTUM GRAVITY?
cites work: Q4514829
cites work: Q4453074
cites work: Dynamical origin of black-hole radiance
cites work: Bohr's Correspondence Principle and the Area Spectrum of Quantum Black Holes
cites work: Gravitation, the quantum and Bohr's correspondence principle.
cites work: The generalized uncertainty principle and black hole remnants
cites work: The scattering matrix approach for the quantum black hole: An overview.
cites work: Modern Quantum Mechanics
cites work: Gravitational Collapse and Black Hole Evolution: -- Do Holographic Black Holes Eventually "Anti-Evaporate"? --
cites work: Instabilities and anti-evaporation of Reissner-Nordström black holes in modified \(F(R)\) gravity
description: scientific article