Mixmaster Chaoticity as Semiclassical Limit of the Canonical Quantum Dynamics

Abstract

Within a cosmological framework, we provide a Hamiltonian analysis of the Mixmaster Universe dynamics on the base of a standard Arnowitt-Deser-Misner approach, showing how the chaotic behavior characterizing the evolution of the system near the cosmological singularity can be obtained as the semiclassical limit of the canonical quantization of the model in the same dynamical representation. The relation between this intrinsic chaotic behavior and the indeterministic quantum dynamics is inferred through the coincidence between the microcanonical probability distribution and the semiclassical quantum one.

9 pages, 1 figure

References in corpus (2)

• On the Covariance of the Mixmaster Chaoticity
• Covariant Formulation of the Invariant Measure for the Mixmaster Dynamics

Cited by in corpus (2)

• Classical and Quantum Features of the Mixmaster Singularity
• Inhomogeneous Quantum Mixmaster: from Classical toward Quantum Mechanics