Lorentz transformation by mimicking the Lorentz transformation

TL;DR

This paper presents a novel derivation of Lorentz transformations by focusing on length distortion of moving objects without specifying contraction or dilation, using a summation approach within the same inertial frame.

Contribution

It introduces a new method to derive Lorentz transformations based solely on length summation and observer measurements, avoiding traditional assumptions.

Findings

Derivation of Lorentz transformations from length summation principles.

Shows that length distortion can be used to obtain spacetime coordinate transformations.

Provides an alternative perspective on special relativity foundations.

Abstract

We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations for the spacetime coordinates of the same event. This derivation is based on expressing the length of the moving rod as a sum of components with all the lengths involved in this summation being measured by the observers of the same inertial reference frame.