- A Derivation of Two Homogenous Maxwell Equations (2004) [Updated 1 decade ago]
- Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams (2003) [Updated 7 years ago]
- Radiation Reaction 4-Force: Orthogonal or Parallel to the 4-Velocity? (2003) [Updated 7 years ago]
- Time Symmetric Action-at-a-Distance Electrodynamics (2000) [Updated 7 years ago]
- A Geometrical Approach to Action-at-a-Distance Electrodynamics (2000) [Updated 7 years ago]

- A Derivation of Two Homogenous Maxwell Equations (2004) [Updated 1 decade ago]
We present a theoretical derivation of two homogenous Maxwell equations, based on Stokes theorem for Minkowski space tensors. A more general equation is also derived for the case of a eld-strength tensor which is not antisymmetric. (Communicated by V. Dvoeglazov. Received on Jan 22, 2004.)

- Addition of Velocities and Electromagnetic Interaction: Geometrical Derivations Using 3D Minkowski Diagrams (2003) [Updated 7 years ago]
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.

- Radiation Reaction 4-Force: Orthogonal or Parallel to the 4-Velocity? (2003) [Updated 7 years ago]
In this note we point to some problems related to the classical derivation of the radiation reaction 4-force, and, using Dirac's relativistic energy-momentum balance equation, we derive a new expression for this 4-force, parallel to the 4-velocity.

- Time Symmetric Action-at-a-Distance Electrodynamics (2000) [Updated 7 years ago]
- A Geometrical Approach to Action-at-a-Distance Electrodynamics (2000) [Updated 7 years ago]
This paper begins with a brief introduction to the trigonometry of the complex plane. We then present an intuitive, geometrical derivation of the relativistic addition of velocities, and of the electromagnetic interaction between two uniformly moving charged particles, based on 2 spatial + 1 temporal dimensional Minkowski diagrams [http://xxx.lanl.gov/abs/physics/0003008]. New physical insight is then obtained by a critical analysis of the concept of 'material point particle'. We argue that this concept is incompatible with the force laws of action-at-a-distance electrodynamics. By complementing our mod?l with other results, we are led to a straightforward derivation of the principles underlying the electromagnetic interaction between two uniformly moving charged particles. An extension of our theory to the case of particles in arbitrary motion shows that we have to modify the Maxwell equations of the

*microscopic*electromagnetic field, in order to accommodate a field-strength tensor which is no longer antisymmetric, Remarkably, the averaged*macroscopic*field still is described by an antisymmetric tensor. Future work will try to determine how our results are related to the tangential forces experimentally and theoretically studied by other authors [*Physics Essays 12 (1) p.153*].