Extending Special Relativity to Superluminal Motion

TL;DR

This paper proposes an extension of special relativity to include superluminal particles, introducing new equations to describe particles with velocities exceeding the speed of light, based on experimental observations of superluminal group velocities.

Contribution

It extends special relativity by formulating new kinematic and dynamic equations for particles moving faster than light, incorporating experimental findings of superluminal group velocities.

Findings

Experimental evidence of superluminal group velocities in electromagnetic waves.

Proposal of a new framework for describing particles with velocities between c and c_m.

Introduction of equations for superluminal particles beyond traditional relativity.

Abstract

Experiments done with single photon in the early 1990's produced a surprising result: that single photon pass through a photon tunnel barrier with a group velocity faster than the vacuum speed of light. Recently, a series of experiments revealed that electromagnetic wave was able to travel at a group velocity faster than $c$. These phenomena have been observed in dispersive media. We think all particles can be divided into three kinds in nature: The first kind of particle is its velocity in the range of $0\leq v < c$, e.g. electron, atom and so on. The second kind of particle is its velocity in the range of $0\leq v < c_{m}$, e.g. photon. The third kind of particle is its velocity in the range of $c\leq v < c_{m}$ ($c_{m}$ is the maximum velocity in universe), e.g. tachyon. The first kind of particle is described by the special relativity. In this paper, we give some new kinematic and dynamic equations to describe the second and third kinds particles.