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Phys. Rev. D 78, 064041 (2008) [7 pages]

Homogeneous noncommutative quantum cosmology

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Marco Maceda*, Alfredo Macías, and Luis O. Pimentel
Depto. de Fsica, Universidad Autnoma Metropolitana-Iztapalapa, A.P. 55-534, C.P. 09340, Mexico D.F.

Received 12 May 2008; published 15 September 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.064041
DOI:
10.1103/PhysRevD.78.064041
PACS:
04.60.Ds, 02.40.Gh, 98.80.−k

*mmac@xanum.uam.mx

amac@xanum.uam.mx

lopr@xanum.uam.mx