Lorentz Electrodynamics, Matter/Antimatter Cosmology and Astroparticle   Physics
  It is shown that the noncommutative Lorentz metric satisfies so-called nonpropagating waves. The long-range forces are obtained as a description of these wave motions. It leads to the natural introduction of the field values (group velocity and intensity of de Broglie waves) into Maxwell's equations and antimatter into Newtonian mechanics. One of the early predictions of the wave theory was existence of antiparticles (modes with the negative group velocity). They are attracted by ordinary matter, but repulse ordinary matter and each other gravitationally. The interaction between the two types of matter might lead to the expansion of the universe and maintain the energy reservoir for cosmic sources of intense radiation. 
Anatoly Blanovsky