Smooth Quantum Dynamics of Mixmaster Universe

TL;DR

This paper develops a quantum model of the Mixmaster universe using affine coherent states, resolving classical singularities and revealing stable quantum states with implications for early universe cosmology.

Contribution

It introduces a novel quantum approach combining affine coherent states and adiabatic approximation to analyze the Mixmaster universe.

Findings

Classical singularity is resolved by a repulsive potential.

Quantum oscillations produce a radiation energy density term.

Lowest energy eigenstates are dynamically stable.

Abstract

We present a quantum version of the vacuum Bianchi IX model by implementing affine coherent state quantization combined with a Born-Oppenheimer-like adiabatic approximation. The analytical treatment is carried out on both quantum and semiclassical levels. The resolution of the classical singularity occurs by means of a repulsive potential generated by our quantization procedure. The quantization of the oscillatory degrees of freedom produces a radiation energy density term in the semiclassical constraint equation. The Friedmann-like lowest energy eigenstates of the system are found to be dynamically stable.