Special Theory of Super Relativity and a Possibility to Exceed the Speed of Light

TL;DR

The paper proposes a modification to special relativity to allow superluminal signal propagation, but experimental data on muon mass measurements contradict this possibility, challenging the theory's validity.

Contribution

It introduces a modified relativistic framework incorporating superluminal velocities and discusses its implications and experimental tests.

Findings

Modified kinematics and Lorentz transformations are developed.

Experimental muon mass measurements conflict with superluminal signal assumptions.

Abstract

Modification of special theory of relativity is proposed to describe the propagation of signals with superluminal velocity. Modified kinematics and Lorentz transformations of Maxwell's equations are described. A possible experiment on measuring the speed of light for verification of the theory is discussed. It is shown that replacing the maximum speed in special theory of relativity by the neutrino superluminal velocity measured by the OPERA collaboration leads to lower value of the muon mass reconstructed from the muon decay products with the modified relativistic kinematics. This value is in strong conflict with the precise muon mass measurements that excludes introducing the superluminal velocity of signals into special theory of relativity.