Lorentz transformation directly from the invariance of the speed of light via the addition law of parallel speeds

TL;DR

This paper demonstrates deriving Lorentz transformations directly from the invariance of light speed and the addition law of parallel speeds, providing a straightforward conceptual approach.

Contribution

It introduces a novel derivation of Lorentz transformations based solely on the invariance principle and speed addition law, simplifying the conceptual understanding.

Findings

Lorentz transformations can be derived from speed invariance and addition law.

The approach offers a direct and intuitive derivation method.

Supports the foundational role of light speed invariance in relativity.

Abstract

We show that starting with the addition law of parallel speeds derived as a consequence of the invariance of the speed of light, the Lorentz transformations for the space-time coordinates can be derived.