2005/05/02 by Tomislav Ivezić, Tomislav Ivezic, Ivezic, Tomislav
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Radioactive Decay and Measurement Techniques #Relativity and Gravitational Theory #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.physics/0505013
23 pages
arxiv created 2005/05/02 · openalex publication_date 2005/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we have resolved the apparent paradox of different mechanical equations for force and torque governing the motion of a charged particle in different inertial frames. The same paradox arises in all usual ``explanations'' of the Trouton-Noble experiment. It is shown that the real cause of the paradoxes is - the use of three dimensional (3D) quantities, e.g., E, B, F, L, % N, their transformations and equations with them. Instead of using 3D quantities we deal with 4D geometric quantities, their Lorentz transformations and equations with them. In such treatment the paradoxes do not appear. The explanation with 4D geometric quantities% is in a complete agreement with the principle of relativity and with the Trouton-Noble experiment.