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arXiv · 1501.02174

Smooth Quantum Dynamics of Mixmaster Universe

Hervé Bergeron·Ewa Czuchry·Jean Pierre Gazeau·Przemysław Małkiewicz·Włodzimierz Piechocki
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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.

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Hervé Bergeron, Ewa Czuchry, Jean Pierre Gazeau, Przemysław Małkiewicz, Włodzimierz Piechocki. 2015-01-09. Smooth Quantum Dynamics of Mixmaster Universe. https://doi.org/10.1103/physrevd.92.061302

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