Synchrony parameter dependent transformation equations and some of their particular values - Kinematics

TL;DR

This paper demonstrates that alternative relativity theories based on different clock synchronization methods can be derived from standard Lorentz-Einstein transformations, supporting the idea that synchronization choices do not alter empirical predictions.

Contribution

It shows how varied synchronization procedures can be incorporated into Lorentz transformations, providing a unified framework for different relativity theories.

Findings

Alternative synchronization procedures lead to equivalent transformations.

The approach supports the view that synchronization choices do not affect empirical predictions.

The method requires only understanding of Lorentz-Einstein transformations.

Abstract

We show that alternative relativity theories that are essentially based on varied distant clock synchronization procedures can be recovered by using the standard Lorentz-Einstein transformations for the space-time coordinates of the same event. Through this approach we offer modest support for the Rizzi et al. stating that: "Once correctly and explicitly phrased, the principles of special relativity theory allow for a wide range of theories that differ from the standard Einstein's theory only for the difference in the chosen synchronization procedure, but are wholly equivalent to special relativity theory in predicting empirical facts." Our approach requires of the reader no more then a correct understanding of the physics behind the Lorentz-Einstein transformations equations which we use.