Noncommutativity in quantum cosmology and the Hierarchy problem
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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.
7 pages; Title, abstract and text changed; references added; to appear in PLB
7 pages; Title, abstract and text changed; references added; to appear in PLB