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Inflationary aspects of Quantum Mixmaster Universe | | Herve Bergeron
; Ewa Czuchry
; Jean-Pierre Gazeau
; Przemyslaw Malkiewicz
; | | Date: |
18 Nov 2015 | | Abstract: | Following our previous paper, Bergeron et al, Smooth quantum dynamics of the
mixmaster universe Phys. Rev. D 92, 061302(R) (2015), concerning the
quantization of the vacuum Bianchi IX model and the Born-Huang-Oppenheimer
framework, we present a further analysis of the dynamical properties of the
model. We apply the harmonic approximation of the anisotropy potential in order
to obtain manageable dynamical equations. We study the quantum anisotropic
oscillations during the bouncing phase of the universe. Neglecting the
backreaction from transitions between quantum anisotropy states we obtain
analytical results. In particular, we identify a parameter which is associated
with dynamical properties of the quantum model and describes a sort of phase
transition. Once the parameter exceeds its critical value, the
Born-Huang-Oppenheimer approximation breaks down. The application of the
present result to a realistic model of the Universe indicates that the
parameter indeed exceeds its critical value and that there should have taken
place a huge production of anisotropy at the bounce. This in turn must have led
to a sustained phase of accelerated expansion, an inflationary-like phase.
However, the quantitative inclusion of backreaction is postponed until a
follow-up paper based on the vibronic approach. | | Source: | arXiv, 1511.5790 | | Services: | Forum | Review | PDF | Favorites | |
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