Quantum Belinski-Khalatnikov-Lifshitz scenario

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.

33 pages, 4 figures, version accepted for publication in European Physical Journal C. arXiv admin note: substantial text overlap with arXiv:1705.04023

References in corpus (3)

• On the cosmological singularity
• On the dynamics of the general Bianchi IX spacetime near the singularity
• Internal clock formulation of quantum mechanics

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• Curvature invariants for the Bianchi IX spacetime filled with tilted dust
• Hamiltonian formulation of dust cloud collapse
• Hunting for gravitational quantum spikes
• Quantum Kasner transition in a locally rotationally symmetric Bianchi II universe
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• Semiclassical study of the Mixmaster model: the quantum Kasner map