https://doi.org/10.1140/epjc/s10052-019-6571-4
Regular Article - Theoretical Physics
Quantum Belinski–Khalatnikov–Lifshitz 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, Hoża 69, 00-681, Warsaw, Poland
* e-mail: wlodzimierz.piechocki@ncbj.gov.pl
Received:
17
November
2018
Accepted:
2
January
2019
Published online:
21
January
2019
We present the quantum model of the asymptotic dynamics underlying the Belinski–Khalatnikov–Lifshitz (BKL) scenario. The symmetry of the physical phase space enables making use of the affine coherent states quantization. Our results show that quantum dynamics is regular in the sense that during quantum evolution the expectation values of all considered observables are finite. The classical singularity of the BKL scenario is replaced by the quantum bounce that presents a unitary evolution of considered gravitational system. Our results suggest that quantum general relativity has a good chance to be free from singularities.
© The Author(s), 2019
