Longitudinal light clock vs special relativity

TL;DR

This paper proposes an extension of the Doppler effect to space and time to ensure consistency with the Principle of Relativity, leading to the conclusion that bodies in inertial motion must undergo longitudinal dilation.

Contribution

It introduces a novel extension of the Doppler effect to space and time, resulting in a new understanding of length dilation in inertial motion.

Findings

Bodies in inertial motion must dilate along the direction of movement.

The analysis aligns the light clock behavior with the Principle of Relativity.

Extending the Doppler effect to space and time is necessary for consistency.

Abstract

In order to respect the Principle of Relativity, the analysis of the behavior of the longitudinal light clock reveals the necessity to extend the Doppler effect also to space and time. As a consequence, the bodies in inertial motion must dilate along the direction of their movement.