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arxiv: 1501.02174 · v1 · pith:BHJ3NIQWnew · submitted 2015-01-09 · 🌀 gr-qc

Smooth Quantum Dynamics of Mixmaster Universe

classification 🌀 gr-qc
keywords quantizationquantumenergysemiclassicaladiabaticaffineanalyticalapproximation
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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.

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