Jackson's paradox and its resolution by the four-dimensional geometric quantities

2006/08/04 by Tomislav Ivezic, Ivezic, Tomislav
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.physics/0608054

10 pages

arxiv created 2006/08/04 · arxiv updated 2009/12/01

Abstract

In this paper it is shown that the real cause of Jackson's paradox is the use of three-dimensional (3D) quantities, e.g., E, % B, F, L, T, their transformations and equations with them. The principle of relativity is naturally satisfied and there is no paradox when the physical reality is attributed to the 4D geometric quantities, e.g., to the 4D torque N (bivector) or, equivalently, to the 4D torques N_s and N_t (1-vectors), which together contain the same physical information as the bivector N.

Related

• Torque or no torque?! The resolution of the paradox using 4D geometric quantities with the explanation of the Trouton-Noble experiment
• Generalized Principle of Limiting 4-Dimensional Symmetry. Solution of the "Two-Spaceship Paradox"
• Space-time trigonometry and formalization of the "Twin Paradox" for uniform and accelerated motions
• Four paradoxes about the special theory of relativity
• Resolution of the Mansuripur Paradox