Rotational relativity theory
type: Item
instance of: scholarly article
title: Rotational relativity theory
zbMATH Open document ID: 0594.53050
DOI: 10.1007/BF00669716
published in: International Journal of Theoretical Physics
publication date: 1986-01-01T00:00:00Z
review text: In a recent paper [Lett. Nuovo Cim. 41, 551-558 (1984)] the author presented his ''rotational relativity theory'', which is based on the constancy of the spin of the photon (in an analogous way as the special theory of relativity is based on the constancy of the speed of light). The underlying mathematical structure of this theory is the manifold \({\mathbb{R}}\times S^ 3\) equipped with the metric \(d\tau^ 2=dt^ 2- \gamma^{-2}(d\theta_ 1^ 2+d\theta_ 2^ 2+d\theta^ 2_ 3).\) Here the constant \(\gamma\) ''is not a universal constant but is characteristic to every particle in nature and is the maximum angular velocity the particle can have'' (quoted from the text); the one-forms \(d\theta_ i\) are not exact (!) and may be expressed using Euler angles \(\phi\), \(\vartheta\), \(\psi\) on \(S^ 3\cong SU(2)\) by \[ d\theta_ 1=\sin \vartheta \quad \sin \psi d\phi +\cos \psi d\vartheta,\quad d\theta_ 2=\sin \vartheta \quad \cos \psi d\phi -\sin \psi d\vartheta,\quad d\theta_ 3=\cos \vartheta d\phi +d\psi. \] The paper discusses the transformations, which leave the above mentioned metric invariant, and deals with some predictions of the new theory to experiments. The reviewer has to confess that the physical content of the theory remains somewhat mysterious to him.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83A05
zbMATH DE Number: 3955934
zbMATH Keywords: rotational relativity
zbMATH Keywords: constancy of the spin of the photon
author: Moshe Carmeli
reviewed by: Volker Perlick
MaRDI profile type: Publication
cites work: Q4493063
cites work: Q4135782
description: scientific article; zbMATH DE number 3955934