Dave,
You have "rediscovered" the widely known phenomenon in electrodynamics which allows for relativistic charged electron or ion beams with minimal radial containment. Permanent magnets are now being used in some beam lines, even with 90 degree turns (with trim coils) From: David Roberson Sorry, I realize that my wording was flawed. I mean that the two particles are moving in parallel at the same velocity. Dave -----Original Message----- From: H Veeder David Roberson wrote: Once I made a calculation of the attraction between two charged particles that are moving together at a constant velocity relative to my frame of reference. I was pleasantly surprised to find that as the velocity of the two charges approached the speed of light, a perfect balance between the electric force and the magnetic force was achieved. This implied that there would be precisely zero electromagnetic force between the two and hence no acceleration either together or apart at the speed of light. This matches the special theory of relativity since at light speed the time dilation reaches infinity for the objects being viewed. Since their time was slowed down to zero, they should not be seen as accelerating towards or away from each other. Dave