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Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon

The stochastic character of the cosmological constant arising from the non-linear quantum-vacuum Bohm interaction in the framework of the manifestly-covariant theory of quantum gravity (CQG theory) is pointed out. This feature is shown to be consistent with the axiomatic formulation of quantum gravi...

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Autores principales: Cremaschini, Claudio, Tessarotto, Massimo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517232/
https://www.ncbi.nlm.nih.gov/pubmed/33286468
http://dx.doi.org/10.3390/e22060696
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author Cremaschini, Claudio
Tessarotto, Massimo
author_facet Cremaschini, Claudio
Tessarotto, Massimo
author_sort Cremaschini, Claudio
collection PubMed
description The stochastic character of the cosmological constant arising from the non-linear quantum-vacuum Bohm interaction in the framework of the manifestly-covariant theory of quantum gravity (CQG theory) is pointed out. This feature is shown to be consistent with the axiomatic formulation of quantum gravity based on the hydrodynamic representation of the same CQG theory developed recently. The conclusion follows by investigating the indeterminacy properties of the probability density function and its representation associated with the quantum gravity state, which corresponds to a hydrodynamic continuity equation that satisfies the unitarity principle. As a result, the corresponding form of stochastic quantum-modified Einstein field equations is obtained and shown to admit a stochastic cosmological de Sitter solution for the space-time metric tensor. The analytical calculation of the stochastic averages of relevant physical observables is obtained. These include in particular the radius of the de Sitter sphere fixing the location of the event horizon and the expression of the Hawking temperature associated with the related particle tunneling effect. Theoretical implications for cosmology and field theories are pointed out.
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spelling pubmed-75172322020-11-09 Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon Cremaschini, Claudio Tessarotto, Massimo Entropy (Basel) Article The stochastic character of the cosmological constant arising from the non-linear quantum-vacuum Bohm interaction in the framework of the manifestly-covariant theory of quantum gravity (CQG theory) is pointed out. This feature is shown to be consistent with the axiomatic formulation of quantum gravity based on the hydrodynamic representation of the same CQG theory developed recently. The conclusion follows by investigating the indeterminacy properties of the probability density function and its representation associated with the quantum gravity state, which corresponds to a hydrodynamic continuity equation that satisfies the unitarity principle. As a result, the corresponding form of stochastic quantum-modified Einstein field equations is obtained and shown to admit a stochastic cosmological de Sitter solution for the space-time metric tensor. The analytical calculation of the stochastic averages of relevant physical observables is obtained. These include in particular the radius of the de Sitter sphere fixing the location of the event horizon and the expression of the Hawking temperature associated with the related particle tunneling effect. Theoretical implications for cosmology and field theories are pointed out. MDPI 2020-06-22 /pmc/articles/PMC7517232/ /pubmed/33286468 http://dx.doi.org/10.3390/e22060696 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Cremaschini, Claudio
Tessarotto, Massimo
Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title_full Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title_fullStr Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title_full_unstemmed Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title_short Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
title_sort quantum-gravity stochastic effects on the de sitter event horizon
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517232/
https://www.ncbi.nlm.nih.gov/pubmed/33286468
http://dx.doi.org/10.3390/e22060696
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