Noncommutativity in quantum cosmology and the Hierarchy problem
arXiv:gr-qc/0412089 · doi:10.1016/j.physletb.2005.04.036
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.
7 pages; Title, abstract and text changed; references added; to appear in PLB