Quantum Belinski-Khalatnikov-Lifshitz scenario

TL;DR

This paper develops a quantum model of the BKL scenario, demonstrating that quantum effects replace classical singularities with a bounce, ensuring finite expectation values and singularity-free evolution in quantum gravity.

Contribution

It introduces a quantum model of the BKL dynamics using affine coherent states, showing the replacement of classical singularities with a quantum bounce.

Findings

Quantum dynamics is regular with finite expectation values.

Classical singularity is replaced by a quantum bounce.

Quantum evolution remains unitary and free from singularities.

Abstract

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 is free from singularities.