Homogeneous noncommutative quantum cosmology

Physics

Scientific paper

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Canonical Quantization, Noncommutative Geometry, Cosmology

Scientific paper

Using the Groenewold-Moyal product, the noncommutative Bianchi IX model is constructed by imposing commutation relations on the minisuperspace variables (Ω,β+,β-). A noncommutative “wormhole” solution to the corresponding Wheeler-DeWitt equation is constructed and its behavior at fixed Ω is analyzed.

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