OPERA superluminal neutrinos and Kinematics in Finsler spacetime

TL;DR

This paper proposes that Finslerian spacetime geometry can explain superluminal neutrinos observed in experiments, providing a new dispersion relation that aligns with multiple observational data sets while maintaining causality.

Contribution

It introduces a Finsler spacetime framework that allows superluminal particles with a linear energy-speed relation, consistent with experimental and astrophysical neutrino observations.

Findings

Superluminal speed depends linearly on energy per unit mass.

Finsler spacetime accommodates superluminal particles without violating causality.

Model aligns with OPERA, MINOS, Fermilab, and SN1987a neutrino data.

Abstract

The OPERA collaboration recently reported that muon neutrinos could be superluminal. More recently, Cohen and Glashow pointed that such superluminal neutrinos would be suppressed since they lose their energies rapidly via bremsstrahlung. In this Letter, we propose that Finslerian nature of spacetime could account for the superluminal phenomena of particles. The Finsler spacetime permits the existence of superluminal behavior of particles while the casuality still holds. A new dispersion relation is obtained in a class of Finsler spacetime. It is shown that the superluminal speed is linearly dependent on the energy per unit mass of the particle. We find that such a superluminal speed formula is consistent with data of OPERA, MINOS and Fermilab-1979 neutrino experiments as well as observations on neutrinos from SN1987a.