Noncommutativity in quantum cosmology and the Hierarchy problem

Details Noncommutativity in quantum cosmology and the Hierarchy problem Noncommutativity in quantum cosmology and the Hierarchy problem

2004-12-19

arxiv.org/abs/gr-qc/0412089v3

Phys.Lett.B615:141-145,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages; Title, abstract and text changed; references added; to appear in PLB

Scientific paper

10.1016/j.physletb.2005.04.036

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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