Wave-Particle Interactions and the Lorentz Transform
|Title||Wave-Particle Interactions and the Lorentz Transform|
A moving particle, represented by its associated plane wave, is assumed to interact with a stationary target particle by the generation of Huygens' sources in the local media. These sources add along a continuum of cones whose apices are on the moving particle and, in combination, constitute a wave that converges on the target along a cone that is orthogonal to them. It is shown that the x' and t' coordinates of the Lorentz transform describe the motion on the orthogonal cone that corresponds with the motion of the particle as described by the x and t coordinates.