Relativistic Constraints on the Structure of Fundamental Forces
Abstract
It is proved that Special Relativity imposes constraints on the structure of fundamental forces. The orthogonality of the 4-force exerted on an elementary particle and its 4-velocity is discussed. The significance of the energy-momentum tensor associated with the field is analyzed. Relying on these issues, it is proved that the Lorentz force is consistent with all constraints whereas a force derived from a scalar potential does not satisfy all requirements. This analysis explains a general discussion of Goldstein, Poole and Safko.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.