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
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- Dilaton Cosmology, Noncommutativity and Generalized Uncertainty Principle
- A noncommutative approach to the cosmological constant problem
- Late time acceleration in a deformed phase space model of dilaton cosmology
- Noncommutativity, generalized uncertainty principle and FRW cosmology
- Can noncommutative effects account for the present speed up of the cosmic expansion?
- Deformed Phase Space Kaluza-Klein cosmology and late time acceleration
- Quantum noncommutative multidimensional cosmology
- On the Entropy of Deformed Phase Space Black Hole and the Cosmological Constant
- Stabilization of internal space in noncommutative multidimensional cosmology
- Could LIV/noncommutativity alleviate the cosmological constant problem
- Noncommutativity and Humanity -- Julius Wess and his Legacy