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arxiv: gr-qc/0412089 · v3 · submitted 2004-12-19 · 🌀 gr-qc · hep-th

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Noncommutativity in quantum cosmology and the Hierarchy problem

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classification 🌀 gr-qc hep-th
keywords cosmologyhierarchynoncommutativityproblemquantumassumingcompactconstant
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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.

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