Quantum dynamics corresponding to chaotic BKL scenario
arXiv:2204.11274 · doi:10.1140/epjc/s10052-023-11284-6
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.
arXiv comment22 pages, 2 figures, version accepted for publication in The European Physical Journal C
References in corpus (20)
- The mixmaster universe is chaotic
- The mixmaster universe: A chaotic Farey tale
- A Hamiltonian Formulation of the BKL Conjecture
- The Bianchi Ix (MIXMASTER) Cosmological Model is Not Integrable
- Smooth Quantum Dynamics of Mixmaster Universe
- Singularity avoidance in a quantum model of the Mixmaster universe
- Quantum Oppenheimer-Snyder model
- Hamiltonian General Relativity and the Belinskii, Khalatnikov, Lifshitz Conjecture
- On the cosmological singularity
- Quantum Belinski-Khalatnikov-Lifshitz scenario
- On the dynamics of the general Bianchi IX spacetime near the singularity
- Bianchi IX model: Reducing phase space
- Robustness of the quantum BKL scenario
- Ascribing quantum system to Schwarzschild spacetime with naked singularity
- Do spikes persist in a quantum treatment of spacetime singularities?
- Generic instability of the dynamics underlying the Belinski-Khalatnikov-Lifshitz scenario
- Curvature invariants for the Bianchi IX spacetime filled with tilted dust
- Hunting for gravitational quantum spikes
- Space-like Singularities of General Relativity: A Phantom menace?
- Semiclassical study of the Mixmaster model: the quantum Kasner map