Assessment of the relativistic rotational transformations

TL;DR

This paper compares four major relativistic rotational transformations against recent high-resolution optical data, finding that only the rotational absolute Lorentz transformation aligns with diverse experimental observations.

Contribution

It provides a comprehensive comparison of four rotational transformations and demonstrates that only the rotational absolute Lorentz transformation accurately predicts experimental relativistic effects in rotating frames.

Findings

Rotational absolute Lorentz transformation matches experimental data.

Other transformations do not fully align with observed relativistic phenomena.

The study supports the rotational absolute Lorentz transformation as the correct model.

Abstract

Rotational transformations describe relativistic effects in rotating frames. There are four major kinematic rotational transformations: the Langevin metric; Post transformation; Franklin transformation; and the rotational form of the absolute Lorentz transformation. The four transformations exhibit different combinations of relativistic effects and simultaneity frameworks, and generate different predictions for relativistic phenomena. Here, the predictions of the four rotational transformations are compared with recent optical data that has sufficient resolution to distinguish the transformations. We show that the rotational absolute Lorentz transformation matches diverse relativistic optical and non-optical rotational data. These include experimental observations of length contraction, directional time dilation, anisotropic one-way speed of light, isotropic two-way speed of light, and the conventional Sagnac effect. In contrast, the other three transformations do not match the full range of rotating-frame relativistic observations.