WKB-type Approximation to Noncommutative Quantum Cosmology
E. Mena, O. Obregon, M. Sabido
TL;DR
This paper develops a WKB approximation method for noncommutative quantum cosmology, enabling analysis of universe evolution with noncommutative geometry effects incorporated into cosmological models.
Contribution
It introduces a straightforward algorithm to include noncommutativity in quantum cosmology and inflation models using a WKB approximation approach.
Findings
Derived the time evolution of noncommutative universe models.
Provided a method to incorporate noncommutativity into cosmological equations.
Demonstrated the applicability of the approach to various examples.
Abstract
In this work, we develop and apply the WKB approximation to several examples of noncommutative quantum cosmology, obtaining the time evolution of the noncommutative universe, this is done starting from a noncommutative quantum formulation of cosmology where the noncommutativity is introduced by a deformation on the minisuperspace variables. This procedure gives a straightforward algorithm to incorporate noncommutativity to cosmology and inflation.
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