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.

中文翻译：

---

相对论旋转变换的评估

旋转变换描述了旋转框架中的相对论效应。有四种主要的运动学旋转变换：朗之万度量；改造后；富兰克林变换；和绝对洛伦兹变换的旋转形式。这四种变换展示了相对论效应和同时性框架的不同组合，并对相对论现象产生了不同的预测。在这里，将四个旋转变换的预测与最近具有足够分辨率以区分变换的光学数据进行比较。我们表明，旋转绝对洛伦兹变换与各种相对论光学和非光学旋转数据相匹配。这些包括长度收缩、定向时间膨胀、各向异性单向光速的实验观察，各向同性的双向光速，以及传统的萨格纳克效应。相比之下，其他三个变换与旋转坐标系相对论观测的全部范围不匹配。