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Open AccessFeature PaperArticle

Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon

1
Research Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám.13, CZ-74601 Opava, Czech Republic
2
Department of Mathematics and Geosciences, University of Trieste, Via Valerio 12, 34127 Trieste, Italy
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(6), 696; https://doi.org/10.3390/e22060696
Received: 2 June 2020 / Revised: 19 June 2020 / Accepted: 20 June 2020 / Published: 22 June 2020
(This article belongs to the Special Issue Stochastic and Hydrodynamic Approaches to Quantum Mechanics)
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. View Full-Text
Keywords: covariant quantum gravity; cosmological constant; de Sitter space-time; event horizon; stochastic effects; Hawking temperature covariant quantum gravity; cosmological constant; de Sitter space-time; event horizon; stochastic effects; Hawking temperature
MDPI and ACS Style

Cremaschini, C.; Tessarotto, M. Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon. Entropy 2020, 22, 696.

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