View source for Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams

{{Infobox paper
| title = Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_664.pdf Link to paper]
| author = [[Calin Galeriu]]
| keywords = [[classical electrodynamics]], [[Minkowski space]]
| published = 2003
| journal = [[Apeiron]]
| volume = [[10]]
| number = [[1]]
| num_pages = 14
| pages = 1-14
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_664.pdf 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.

[[Category:Scientific Paper|addition velocities electromagnetic interaction geometrical derivations using d minkowski diagrams]]

[[Category:Relativity]]