2009/01/27 by Dinesh Singh, Nader Mobed, Pierre-Philippe Ouimet · 1 citation
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Black hole (networking) #Event horizon #Muon #Noncommutative algebraic geometry #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Observable #Quantum gravity #Sign (mathematics) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/s10701-010-9487-2
published in Foundations of Physics 40(12), 1789-1799 (Springer Science+Business Media) · 4 pages; REVTeX file; 1 figure
arxiv created 2009/01/27 · openalex publication_date 2010/07/22 · arxiv updated 2010/11/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.