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Noncommutativity in quantum cosmology and the Hierarchy problem
General Relativity and Quantum Cosmology · Submitted 19 Dec 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | contribution 0.74 | 0.70 | 0.03 | asserted 0.87 |
| s1 | By assuming the noncommutativity in the corresponding mini-superspace we suggest a solution for the Hierarchy problem, at the level of Wheeler-DeWitt equation. | contribution 0.59 | 0.82 | 0.87 | hedged possibility 0.98 |
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Original 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.
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How the literature uses it
4 arXiv papers cite this in 7 sentences
Papers citing it · 6 sentences without a confident label
Uses its method or tool 1 paper
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The recipe used by us to build noncommutativity into the FRW (flat) cosmological model was based in the approach of reference [ref] (see also [ref] ).
Can noncommutative effects account for the present speed up of the cosmic expansion? · Conclusion · 0.99
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