Thomas rotation and Mocanu paradox -- not at all paradoxical

TL;DR

The paper explains how Thomas rotation resolves the Mocanu paradox, demonstrating that the apparent conflict with the reciprocity principle in relativistic velocity addition is naturally resolved within special relativity.

Contribution

It clarifies that the resolution of the Mocanu paradox via Thomas rotation aligns naturally with the fundamental principles of special relativity.

Findings

Thomas rotation resolves the Mocanu paradox

The paradox is consistent with special relativity principles

Non-commutativity of velocity addition is explained

Abstract

Non-commutativity of the Einstein velocity addition, in case of non-collinear velocities, seemingly gives rise to a conflict with reciprocity principle. However, Thomas rotation comes at a rescue and the paradox is avoided. It is shown that such a resolution of the so called Mocanu paradox is completely natural from the point of view of basic premises of special relativity.