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Communication Dans Un Congrès Année : 2009

Bianchi IX in the GUP approach

Résumé

The Bianchi IX cosmological model (through Bianchi I and II) is analyzed in the framework of a generalized uncertainty principle. In particular, the anisotropies of the Universe are described by a deformed Heisenberg algebra. Three main results are in order. (i) The Universe can not isotropize because of the deformed Kasner dynamics. (ii) The triangular allowed domain is asymptotically stationary with respect to the particle (Universe) and its bounces against the walls are not interrupted by the deformed effects. (iii) No reflection law can be in obtained since the Bianchi II model is no longer analytically integrable.

Dates et versions

hal-00374151 , version 1 (08-04-2009)

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Marco Valerio Battisti, Giovanni Montani. Bianchi IX in the GUP approach. the 3rd Stueckelberg Workshop on Relativistic Field Theories, Jul 2008, Pescara, Italy. ⟨hal-00374151⟩
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