Motion of a Relativistic Particle and the Vacuum

A vacuum medium model is advanced. The motion of a relativistic particle in view of its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum named "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\ν and Mv₀ = h/ particle along the trajectory, i.e. the interval at which the velocity of the particle is periodically altered fromv_0$ to 0 and then from 0 to $v_0$; transition to wave mechanics where $\λ$ manifests itself as the de Broglie wavelength and $\ν$ is the distinctive frequency of the "particle-wave". A prerequisite for the wave solution to be Lorentz-invariant is treated. A hypothesis for a plausible hydrodynamic description of the relativistic particle motion is covered.