Noncommutativity in quantum cosmology and the Hierarchy problem
F. Darabi, A. Rezaei-Aghdam, A. R. Rastkar
TL;DR
This paper explores how noncommutative quantum cosmology in a 5D Kaluza-Klein model can provide a potential solution to the Hierarchy problem by analyzing the Wheeler-DeWitt equation with noncommutative variables.
Contribution
It introduces a novel approach by incorporating noncommutativity into the mini-superspace of a 5D cosmological model to address the Hierarchy problem.
Findings
Noncommutativity affects the Wheeler-DeWitt equation solutions.
Potential resolution of the Hierarchy problem within quantum cosmology.
New insights into extra dimension dynamics in noncommutative settings.
Abstract
We study the quantum cosmology of an empty (4+1)-dimensional Kaluza-Klein cosmology with a negative cosmological constant and a FRW type metric with two scale factors, one for 4-D universe and the other for one compact extra dimension. By assuming the noncommutativity in the corresponding mini-superspace we suggest a solution for the Hierarchy problem, at the level of Wheeler-DeWitt equation.
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