Difference between revisions of "Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams"
(Imported from text file) |
(Imported from text file) |
||
Line 20: | Line 20: | ||
[[Category:Scientific Paper|addition velocities electromagnetic interaction geometrical derivations using d minkowski diagrams]] | [[Category:Scientific Paper|addition velocities electromagnetic interaction geometrical derivations using d minkowski diagrams]] | ||
− | [[Category:Relativity]] | + | [[Category:Relativity|addition velocities electromagnetic interaction geometrical derivations using d minkowski diagrams]] |
Latest revision as of 19:15, 1 January 2017
Scientific Paper | |
---|---|
Title | Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams |
Read in full | Link to paper |
Author(s) | Calin Galeriu |
Keywords | classical electrodynamics, Minkowski space |
Published | 2003 |
Journal | Apeiron |
Volume | 10 |
Number | 1 |
No. of pages | 14 |
Pages | 1-14 |
Read the full paper here
Abstract
This article presents intuitive, geometrical derivations of the relativistic addition of velocities, and of the elec-tromagnetic interaction between two uniformly moving charged particles, based on 2 spatial + 1 temporal dimensional Minkowski diagrams. We calculate the relativistic addition of velocities by projecting the world-line of the particle on the spatio-temporal planes of the reference frames considered. We calculate the real component of the electromagnetic 4-force, in the proper reference frame of the source particle, from the Coulomb force generated by a charged particle at rest. We then obtain the imaginary component of the 4-force, in the same reference frame, from the requirement that the 4-force be orthogonal to the 4-velocity. The 4-force is then projected on a real 3 dimensional space to give the Lorentz force.