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Noncommutativity in quantum cosmology and the Hierarchy problem

F. Darabi·A. Rezaei-Aghdam·A. R. Rastkar
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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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F. Darabi, A. Rezaei-Aghdam, A. R. Rastkar. 2005-05-04. Noncommutativity in quantum cosmology and the Hierarchy problem. https://doi.org/10.1016/j.physletb.2005.04.036

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