A good understanding of the actual mechanism for the attraction between an electron and positron is necessary for the
effective study of electron - positron phenomenon such as annihilation and pair production. This "action at a distance"
force has mathematical descriptions, but the underlying phenomenon is really not well understood. Our intuitive
understanding of how force is delivered through the action of an impulse comes from our everyday experience and is
described by Newton's Laws. If we extend this classical mechanical line of reasoning to these more mysterious forces, it
leads to the derivation of a high velocity version of F = ma. The basis of this model is Newton's notion that gravity
could be attributed to multiple impacts of invisible bodies. In this model it is assumed that such an acceleration field is
made up of tiny bodies that travel at the speed of light and that these bodies deliver energy to accelerated particles by
elastic collisions. The result is a mathematical model comparable to relativistic equations. This similarity leads to the
conclusion that it is reasonable to rearrange and interpret the relativistic equations as a velocity dependent force. There
is no reason to change the classical definition of mass, momentum and energy for the physics that has heretofore been
described by relativity.
Randy T. Dorn,
"The high velocity version of classical mechanics", Proc. SPIE 8121, The Nature of Light: What are Photons? IV, 812107 (28 September 2011); doi: 10.1117/12.892928; https://doi.org/10.1117/12.892928