https://doi.org/10.1140/epjc/s10052-023-11284-6
Regular Article - Theoretical Physics
Quantum dynamics corresponding to the chaotic BKL scenario
1
Institute of Physics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031, Lublin, Poland
2
Department of Fundamental Research, National Centre for Nuclear Research, Pasteura 7, 02-093, Warsaw, Poland
c
wlodzimierz.piechocki@ncbj.gov.pl
Received:
28
November
2022
Accepted:
30
January
2023
Published online:
15
February
2023
We quantize the solution to the Belinski– Khalatnikov–Lifshitz (BKL) scenario using the integral quantization method. Quantization smears the gravitational singularity, preventing 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 the respective 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 a quantum level, giving support to the expectation that quantum gravity has a good chance of being a regular theory.
© The Author(s) 2023
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3