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

TL;DR

This paper investigates superluminal neutrinos observed in the OPERA experiment within a modified special relativity framework incorporating de Sitter space-time symmetry, proposing that neutrino velocities can exceed the speed of light without violating fundamental principles.

Contribution

It introduces a de Sitter special relativity model explaining superluminal neutrinos and challenges the standard Cherenkov-like radiation argument for superluminal particles.

Findings

OPERA neutrino anomaly aligns with dS-SR predictions

In dS-SR, photon speed exceeds c, allowing superluminal neutrinos

Cherenkov-like radiation is forbidden in dS-SR framework

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 $c$, the photon velocity $c_{photon}$ and the phase velocity of a light wave in vacuum $c_{wave}=\lambda\nu$. 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 space-time 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 space-time symmetry, we have $c_{photon}>c$. 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 $R\simeq 1.95\times 10^{12}l.y.$ 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.