Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon

@article{49390,
   author = {Cremaschini, Claudio and Tessarotto, Massimo},
   article_number = {6},
   doi = {http://dx.doi.org/10.3390/e22060696},
   keywords = {covariant quantum gravity; cosmological constant; de Sitter space-time; event horizon; stochastic effects; Hawking temperature},
   language = {eng},
   issn = {1099-4300},
   journal = {Entropy},
   title = {Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon},
   url = {https://www.mdpi.com/1099-4300/22/6/696},
   volume = {22},
   year = {2020}
}

TY  - JOUR
ID  - 49390
AU  - Cremaschini, Claudio - Tessarotto, Massimo
PY  - 2020
TI  - Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon
JF  - Entropy
VL  - 22
IS  - 6
SP  - "696-1"-"696-22"
EP  - "696-1"-"696-22"
SN  - 10994300
KW  - covariant quantum gravity
KW  - cosmological constant
KW  - de Sitter space-time
KW  - event horizon
KW  - stochastic effects
KW  - Hawking temperature
UR  - https://www.mdpi.com/1099-4300/22/6/696
N2  - 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.
ER  - 

CREMASCHINI, Claudio a Massimo TESSAROTTO. Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon. \textit{Entropy}. 2020, roč.~22, č.~6, s.~''696-1''-''696-22'', 22 s. ISSN~1099-4300. Dostupné z: https://dx.doi.org/10.3390/e22060696.