Quantum dynamics corresponding to chaotic BKL scenario
- URL: http://arxiv.org/abs/2204.11274v3
- Date: Tue, 31 Jan 2023 07:38:30 GMT
- Title: Quantum dynamics corresponding to chaotic BKL scenario
- Authors: Andrzej G\'o\'zd\'z, Aleksandra P\c{e}drak, and W{\l}odzimierz
Piechocki
- Abstract summary: Quantization smears the gravitational singularity avoiding its localization in the configuration space.
Results suggest that the generic singularity of general relativity can be avoided at quantum level.
- Score: 62.997667081978825
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We quantize the solution to the Belinski-Khalatnikov-Lifshitz (BKL) scenario
using the integral quantization method. Quantization smears the gravitational
singularity avoiding its localization in the configuration space. The latter is
defined in terms of spatial and temporal coordinates, which are treated on the
same footing that enables respecting covariance of general relativity. The
relative quantum perturbations grow as the system evolves towards the
gravitational singularity. The quantum randomness amplifies the deterministic
classical chaos of the BKL scenario. Additionally, our results suggest that the
generic singularity of general relativity can be avoided at quantum level
giving support to the expectation that quantum gravity has good chance to be a
regular theory.
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