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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Singh, D., Mobed, N. & Ouimet, PP. Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity. Found Phys 40, 1789–1799 (2010). https://doi.org/10.1007/s10701-010-9487-2
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DOI: https://doi.org/10.1007/s10701-010-9487-2