Derivation of the Special Theory of Relativity from Invariance of Action

TL;DR

This paper demonstrates that the principles of special relativity can be derived solely from the invariance of action under inertial frame transformations, establishing a foundational link between action invariance and relativistic physics.

Contribution

It provides a novel derivation of special relativity based on the invariance of action, reversing the usual approach that starts from Einstein's postulates.

Findings

Special relativity can be derived from action invariance.

Invariance of action under inertial transformations implies relativistic effects.

The approach offers a new foundational perspective on relativity.

Abstract

It is known that action is invariant in special relativity. The goal of this note is to show that the reverse statement is also correct, that special relativity follows from the postulate that action is invariant under the transformation from one inertial frame to another.