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Superluminal Neutrinos from Special Relativity with de Sitter Space-time Symmetry

General Physics 2012-06-18 v4 High Energy Physics - Phenomenology

Abstract

We explore the recent OPERA experiment of superluminal neutrinos in the framework of Special Relativity with de Sitter space-time symmetry (dS-SR). According to Einstein a photon is treated as a massless particle in the framework of Special Relativity. In Special Relativity (SR) we have the universal parameter cc, the photon velocity cphotonc_{photon} and the phase velocity of a light wave in vacuum cwave=λνc_{wave}=\lambda\nu. Due to the null experiments of Michelson-Morley we have c=cwavec=c_{wave}. The parameter cphotonc_{photon} is determined by the Noether charges corresponding to the space-time symmetries of SR. In Einstein's Special Relativity (E-SR) we have c=cphotonc=c_{photon}. In dS-SR, i.e. the Special Relativity with SO(4,1) de Sitter space-time symmetry, we have cphoton>cc_{photon}>c. In this paper, the OPERA datum are examined in the framework of dS-SR. We show that OPREA anomaly is in agreement with the prediction of dS-SR with R1.95×1012l.y.R\simeq 1.95\times 10^{12}l.y. Based on the pp-EE relation of dS-SR, we also prove that the Cohen and Glashow's argument of possible superluminal neutrino's Cherenkov-like radiation is forbidden. We conclude that OPERA and ICARUS results are consistent and they are explained in the dS-SR framework.

Keywords

Cite

@article{arxiv.1111.4532,
  title  = {Superluminal Neutrinos from Special Relativity with de Sitter Space-time Symmetry},
  author = {Mu-Lin Yan and Neng-Chao Xiao and Wei Huang and Sen Hu},
  journal= {arXiv preprint arXiv:1111.4532},
  year   = {2012}
}

Comments

14 pages, 2 figures