One way to Lorentz's Transformations

TL;DR

This paper presents a simple, general derivation of Lorentz Transformations based on the Principle of Relativity and the velocity-dependent time dilation, aiming to make the derivation more accessible for educational purposes.

Contribution

It offers a concise and straightforward derivation of Lorentz Transformations that emphasizes simplicity and generality, suitable for textbooks and laymen.

Findings

Derivation based on the Principle of Relativity and time dilation.

Highlights the dependence of clock rates on velocity.

Simplifies understanding of Lorentz Transformations.

Abstract

There are many papers devoted to derivation of Lorentz Transformations (LT). Many people have pro posed alternative derivations. Their analysis allows looking at LT and their consequences from different standpoints. At the same time it is important to choose the simplest and general way of derivation of LT for textbooks, to make them more accessible to a wide circle of laymen interested in the elativistic physics and to leave the W.Voight's, J.Larmor's, G.Lorentz's, A.Einstein's and other derivations for the history. A short, clear and simple derivation of generalized LT based on the Principle of Relativity and unknown dependence of the clocks tick rate (time dilation) on their velocity is presented in this paper.