An investigation of Lorentz transformation

TL;DR

This paper introduces a straightforward derivation of the Lorentz transformation using special relativity axioms and physical intuition, clarifying its core principles and making it accessible for students.

Contribution

It presents a new, simple method for deriving Lorentz transformation based on fundamental axioms and physical insights, enhancing understanding of special relativity.

Findings

Derivation of Lorentz transformation from basic principles

Clarification of the role of presumptions in LT

A simple method suitable for educational purposes

Abstract

A new method of derivation of Lorentz Transformation (LT) is given based on both axioms of special relativity (SR) and physical intuitions. The essence of the transformation is established and the crucial role played by the presumptions is presented for clarification. I consider the most general form of transformations between two sets of events in two inertial reference frames and use the most basic properties expected from such a transformation together with the principle of the constancy of the velocity of light to derive LT. The method is very simple, succinct and useful for students trying a better understanding of the subject.