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Quantum-Gravity Stochastic Effects on the de Sitter Event Horizon.
Claudio Cremaschini1, Massimo Tessarotto1,2
1Research Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám.13, CZ-74601 Opava, Czech Republic.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
The stochastic nature of the cosmological constant is revealed through quantum gravity interactions. This leads to a de Sitter universe solution and calculations of Hawking temperature and event horizon radius.
Area of Science:
- Theoretical Physics
- Cosmology
- Quantum Gravity
Background:
- The cosmological constant's origin and behavior remain key questions in cosmology.
- Quantum gravity theories aim to unify gravity with quantum mechanics.
- Recent advancements in covariant theory of quantum gravity (CQG theory) offer new frameworks.
Purpose of the Study:
- To investigate the stochastic nature of the cosmological constant within CQG theory.
- To explore the consistency of this stochasticity with axiomatic quantum gravity formulations.
- To derive quantum-modified Einstein field equations and analyze their cosmological implications.
Main Methods:
- Analysis of non-linear quantum-vacuum Bohm interactions.
- Utilizing the hydrodynamic representation of CQG theory.
- Investigating indeterminacy properties of probability density functions.
- Deriving stochastic quantum-modified Einstein field equations.
Main Results:
- The stochastic character of the cosmological constant is demonstrated.
- A consistency is shown between stochasticity and axiomatic quantum gravity.
- A stochastic cosmological de Sitter solution for spacetime is obtained.
- Analytical calculations of stochastic averages for physical observables, including Hawking temperature and event horizon radius, are presented.
Conclusions:
- The study provides a novel perspective on the cosmological constant's stochastic nature.
- The findings support the validity of the hydrodynamic representation of CQG theory.
- The results have significant theoretical implications for cosmology and quantum field theories.
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