The existence of superluminal particles is consistent with the kinematics of Einstein's special theory of relativity

TL;DR

This paper demonstrates that the existence of superluminal particles does not contradict Einstein's special relativity within an axiomatic kinematic framework, suggesting such particles could theoretically exist without violating established physics.

Contribution

It provides a formal proof that superluminal particles are logically independent of special relativity's kinematic principles, expanding the theoretical possibilities.

Findings

Superluminal particles are consistent with special relativity's kinematics.

Logical independence between superluminal particles and Einstein's theory established.

Framework supports the theoretical existence of faster-than-light particles.

Abstract

Within an axiomatic framework of kinematics, we prove that the existence of faster than light particles is logically independent of Einstein's special theory of relativity. Consequently, it is consistent with the kinematics of special relativity that there might be faster than light particles.