Lorentz Theory Revisited

Abstract

Long before quantum mechanics, Lorentz suggested that some disturbances, like waves, travel with particles through a certain medium -motionless ether. It is shown that these waves are described by the Klein-Gordon equation and dispersion relation w²=c²k²+w_c². In hydromechanics, they are known as non-propagating waves and a constant w_c is called the cutoff frequency. A quantum object is considered as a vibrating particle or material body with a rest mass m moving in resonance with wave characterized by the cutoff or Compton frequency w_c=mc²/ .