Abstract

The problem of quantum gravity is treated from a radically new viewpoint based on a detailed mathematical analysis of what the constitution of physical space is, which has been curried out by Michel Bounias and the author. The approach allows the introduction of the notion of mass as a local deformation of space regarded as a tessellation lattice of founding elements, topological balls, whose size is estimated as the Planck one. The interaction of a moving particle-like deformation with the surrounding lattice of space involves a fractal decomposition process that supports the existence and properties of previously postulated inerton clouds as associated to particles. The cloud of inertons surrounding the particle spreads out to a range ??/c=? from the particle where ? and c are velocities of the particle and light, respectively, and ? is the de Broglie wavelength of the particle. Thus the particle's inertons return the real sense to the wave ?-function as the field of inertia of the moving particle. Since inertons transfer fragments of the particle mass, they play also the role of carriers of gravitational properties of the particle. The submicroscopic concept has been verified experimentally, though so far in microscopic and intermediate ranges.