The Lorentz Transform
Keywords: Charge, Lorentz transformation
Considering that the forces between a moving charge and its target are developed as elementary forces at each point in both charge fields leads to the Lorentz Transform. The elementary forces propagate outwards in both fields at the speed of light relative to their centers. The derivation suggests that when a charge approaches a target, its surrogate, formed in the target's field by the sum of a set of these elementary forces, is observed, not the charge itself. The surrogate grows faster than the charge moves, thereby explaining the increase in the charge's momentum over its Newtonian value; the charge's mass doesn't change. The fast moving charge's time doesn't slow down ? it just seems to because the target senses the surrogate coming out of the field so it is sensed as it was at an earlier time.