Quantum dynamics corresponding to chaotic BKL scenario

TL;DR

This paper applies integral quantization to the BKL cosmological model, showing quantum effects can smear singularities and amplify chaos, suggesting quantum gravity may resolve classical singularities.

Contribution

It introduces a covariant quantization approach to the BKL scenario, demonstrating singularity avoidance and chaos amplification at the quantum level.

Findings

Quantum smearing of the classical singularity.

Growth of quantum perturbations near the singularity.

Potential resolution of singularities in quantum gravity.

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.