A Scenario for a Singularity-free Generic Cosmological Solution

Abstract

We develop a scenario for the emergence of a non-singular generic cosmological solution based on the a WKB characterization of one of the two anisotropy degrees of freedom. We investigate the dynamics of the so-called inhomogeneous mixmaster in the "corner" configuration and inferring that one of the two anisotropic variables becomes small enough to explore the uncertainty principle. Then, we apply a standard WKB approximation to the dynamics of the Universe which has macroscopic volume, one macroscopic anisotropy and one microscopic quantum degree of freedom. Our study demonstrates the possibility that the Universe acquires a non-singular classical behavior, retaining the quantum degree of freedom as a small oscillating ripple on a stationary Universe. The role of the so-called "fragmentation process" is also taken into account in outlining the generality of such a behavior in independent local space regions.

arXiv comment7 pages, 1 figure

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Cited by in corpus (5)

• WKB Approaches to Restore Time in Quantum Cosmology: Predictions and Shortcomings
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• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• The role of spatial curvature in constraining the Universe anisotropies across a Big Bounce
• Quantum Isotropic Universe in RQM Analogy: the Cosmological Horizon