Special Theory for Superluminal Particle

TL;DR

This paper proposes an extended relativity theory classifying particles into three types based on their maximum velocities, aiming to explain superluminal neutrino observations and calculate their mass.

Contribution

It introduces a new extended relativity framework that includes superluminal particles, expanding the scope of traditional special relativity.

Findings

Classifies particles into three velocity-based categories.

Provides a theoretical basis for superluminal neutrinos.

Calculates muonic neutrinos mass using the extended theory.

Abstract

The OPERA collaboration reported evidence for muonic neutrinos travelling faster than light in vacuum. In this paper, an extended relativity theory is proposed. We think all particles can be divided into three kinds: The first kind of particle is its velocity in the range of $0\leq v < c$, e.g. electron, atom, molecule and so on ($c$ is light velocity, i.e., the limit velocity of the first kind of particle). The second kind of particle is its velocity in the range of $0\leq v < c_{m1}$, e.g. photon ($c_{m1}$ is the limit velocity of the second kind of particle). The third kind of particle is its velocity in the range of $c\leq v < c_{m2}$, e.g. tachyon, and muonic neutrinos ($c_{m2}$ is the limit velocity of the third kind of particle). The first kind of particle is described by the special relativity. With the extended relativity theory, we can describe the second and third kinds particles, and can analysis the OPERA experiment results and calculate the muonic neutrinos mass.