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Smooth Bounce in Affine Quantization of Bianchi I | | Herve Bergeron
; Andrea Dapor
; Jean-Pierre Gazeau
; Przemyslaw Malkiewicz
; | | Date: |
30 Jan 2015 | | Abstract: | We present the affine coherent state quantization of the Bianchi I model. As
in our previous paper on quantum theory of Friedmann models, we employ a
variable associated with a perfect fluid to play a role of clock. Then we
deparameterize the model. A distinctive feature, absent in isotropic models, is
an extra non-holonomic constraint, which survives the deparameterization and
constrains the range of physical variables. The appearance of the constraint
reflects the ’amplification’ of singularity due to anisotropy. The quantization
smoothes the extra constraint and allows quantum contracting trajectories to be
smoothly transformed into expanding ones. Making use of affine coherent state
we develop a semiclassical description. Figures are included to illustrate our
result. | | Source: | arXiv, 1501.7718 | | Services: | Forum | Review | PDF | Favorites | |
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