On Decompositions of Lorentz Transformations and their Physical Interpretations

TL;DR

This paper investigates alternative decompositions of Lorentz transformations using different synchronization conventions, emphasizing a universal synchronization approach that extends beyond the involved inertial frames.

Contribution

It introduces a novel decomposition method of Lorentz transformations based on a universal synchronization convention, differing from previous frame-specific approaches.

Findings

Proposes a universal synchronization framework for Lorentz transformations.

Develops alternative decomposition methods with different synchronization assumptions.

Highlights implications for physical interpretations of Lorentz transformations.

Abstract

In a recent article [1] we have explored alternative decompositions of the Lorentz transformation by adopting the synchronization convention of the target frame at the end and alternately at the outset. In this note we develop the decomposition by assuming a correct universal synchronization that may be outside the two inertial frames that are involved.