2012/01/06 by Zhe Chang, Xin Li, Chang, Zhe +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Causal structure #Classical mechanics #FOS: Physical sciences #General Physics (physics.gen-ph) #Geometry #High Energy Physics - Phenomenology (hep-ph) #Mathematics #Physics #Quantum mechanics #Spacetime #Symmetry (geometry) #Theoretical physics #hep-ph #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1201.1368
19 pages, 5 figures
arxiv created 2012/01/06 · openalex publication_date 2012/01/06 · arxiv updated 2012/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The superluminal behaviors of neutrinos were reported by the OPERA collaboration recently. It was also noticed by Cohen and Glashow that, in standard quantum field theory, the superluminal neutrinos would lose their energy via the Cherenkov-like process rapidly. Finslerian special relativity may provide a framework to cooperate with the OPERA neutrino superluminality without Cherenkov-like process. We present clearly the symmetry, causal structure and superluminality in Finsler spacetime. The principle of relativity and the causal law are preserved. The energy and momentum are well defined and conserved in Finslerian special relativity. The Cherenkov-like process is proved to be forbidden kinematically and the superluminal neutrinos would not lose energy in their distant propagations from CERN to the Gran Sasso Laboratory. The energy dependence of neutrino superluminality is studied based on the reported data of the OPERA collaboration as well as other groups.