Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity |
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Authors: | Dinesh Singh Nader Mobed and Pierre-Philippe Ouimet |
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Institution: | 1.Department of Physics,University of Regina,Regina,Canada |
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Abstract: | It is shown how to identify potential signatures of noncommutative geometry within the decay spectrum of a muon in orbit near
the event horizon of a microscopic Schwarzschild black hole. This possibility follows from a re-interpretation of Moffat’s
nonsymmetric theory of gravity, first published in Phys. Rev. D 19:3554, 1979, where the antisymmetric part of the metric tensor manifests the hypothesized noncommutative geometric structure throughout
the manifold. It is further shown that for a given sign convention, the predicted signatures counteract the effects of curvature-induced
muon stabilization predicted by Singh and Mobed in Phys. Rev. D 79:024026, 2009. While it is unclear whether evidence for noncommutative geometry may become observable anytime soon, this approach at least
provides a useful direction for future quantum gravity research based on the ideas presented here. |
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