Special Theory of Relativity without special assumptions and tachyonic motion

TL;DR

This paper derives the most general spacetime transformations in special relativity using minimal assumptions and discusses implications for tachyonic motion.

Contribution

It presents a derivation of special relativity transformations based only on linearity and light speed constancy, without additional assumptions.

Findings

Derived the general form of spacetime transformations from minimal assumptions

Connected the transformations to tachyonic motion

Highlighted the foundational nature of assumptions in special relativity

Abstract

The most general form of transformations of spacetime coordinates in Special Theory of Relativity based solely on physical assumptions are described. Only the linearity of spacetime transformations and the constancy of the speed of light are used as assumptions. The application to tachyonic motion is indicated.