Motion of a Relativistic Particle and the Vacuum
Abstract
A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations of the particle path in Euclidean space are derived. The motion is marked by the relations basic for quantum mechanics: $E=h\nu$ and $Mv = h/ \lambda$ (here, $\lambda$ is the amplitude of spatial oscillations of the particle along the trajectory, i.e., the interval at which the velocity of the particle is periodically altered from $v$ to 0 and then from 0 to $v$; $\nu$ is the frequency of these oscillations). Analysis is performed on the transition to wave mechanics where $\lambda$ manifests itself as the de Broglie wavelength and $\nu$ is the distinctive frequency of the "particlewave". A prerequisite for the wave solution to be Lorentzinvariant is treated. A hypothesis for a plausible hydrodynamic description of the relativistic particle motion is covered.
 Publication:

arXiv eprints
 Pub Date:
 March 1999
 arXiv:
 arXiv:quantph/9903077
 Bibcode:
 1999quant.ph..3077K
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 19 pages, LaTeX 2e, 2 figures (PostScript files)