非对称引力下μ介子衰变的非对易几何特征
Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity
摘要：
它示出了如何识别潜在的签名的非对易几何内的衰变谱的μ子在轨道附近的事件视界的微观史瓦西黑洞。这种可能性来自于对J. W.莫法特的非对称引力理论，首次发表于Phys. Rev. D 19，3554（1979），其中度规张量的反对称部分表明了整个流形中假设的非对易几何结构。它进一步表明，对于一个给定的符号约定，预测的签名抵消的曲率诱导的μ子稳定D预测的影响。Singh和N. Mobed in Phys.Rev.D79，024026（2009）.虽然目前还不清楚是否可以在大型强子对撞机（LHC）上很快找到非对易几何的证据，但这种方法至少为基于本文提出的想法的未来量子引力研究提供了一个有用的方向。
英文摘要：
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 J.W. 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 D. Singh and N. Mobed in Phys. Rev. D 79, 024026 (2009). While it is unclear whether evidence for noncommutative geometry may be found at the Large Hadron Collider (LHC) 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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