On the nature of spin, inertia and gravity of a moving canonical particle

It is suggested that a moving canonical particle interacts with a vacuum regarded as a ”soft” cellular space. The interaction results into the emergence of elementary excitations of space – inertons – surrounding the particle. It is assumed that such a motion leads not only to the spatial oscillation of the particle along a path but to the oscillation of the particle centre-of-mass as well. This phenomenon culminating in the anisotropic pulsation of the particle is associated with the notion of spin. The particle-space interaction is treated as the origin of the matter waves which are identified with the particle inertia and inertons surrounding the moving particle are considered as carriers of its inert properties. Inertons are also identified with real carriers of the gravitational interaction and the range of the particle gravitational potential is evaluated by the inerton cloud amplitude Λ = λc/v0, where λ is the de Broglie wavelength, c and v0 are the velocity of light and the particle respectively. The nature of the phase transition that occurs in a quantum system when one should pass from the description based on the Schrödinger formalism to that of resting on the Dirac one is explained in detail.