SUPERLUMINAL NEUTRINOS FROM SPECIAL RELATIVITY WITH DE SITTER SPACETIME SYMMETRY

Abstract

We explore the recent OPERA experiment of superluminal neutrinos in the framework of special relativity with de Sitter spacetime 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 c, the photon velocity c photon and the phase velocity of a light wave in vacuum c wave = λν. Due to the null experiments of Michelson–Morley we have c = c wave . The parameter c photon is determined by the Noether charges corresponding to the spacetime symmetries of SR. In Einstein's special relativity (E-SR) we have c = c photon . In dS-SR, i.e. the special relativity with SO(4, 1) de Sitter spacetime symmetry, we have c photon > c. In this paper, the OPERA datum are examined in the framework of dS-SR. We show that OPERA anomaly is in agreement with the prediction of dS-SR with R≃1.95×1012 l.y. Based on the p-E 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.