The Mixmaster Universe in a generalized uncertainty principle framework

Understand

The Bianchi IX cosmological model is analyzed in a generalized uncertainty principle framework.

• The Arnowitt-Deser-Misner reduction of the dynamics is performed and a time-coordinate, namely the volume of the Universe, naturally arises.
• Such a variable is treated in the ordinary way while the anisotropies (the physical degrees of freedom) are described by a deformed Heisenberg algebra.
• The analysis of the model (passing through Bianchi I and II) is performed at classical level by studying the modifications induced on the symplectic geometry by the deformed algebra.