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REASONS FOR GRAVITATIONAL MASS AND THE PROBLEM OF QUANTUM GRAVITY

The problem of quantum gravity is considered from a radically new viewpoint based on a detailed mathematical analysis of what the constitution of physical space is, which has recently been carried 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, or cells, or superparticles) whose size is estimated as the value of around the Planck one. The next aspect used at the examination of the problem is submicroscopic mechanics developed by the author, which can easily be transformed to the conventional formalism of quantum mechanics. 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 the range = c=v from the particle where v and c are velocities of the particle and light, respectively, and is the de Broglie wavelength of the particle. Therefore, the particle’s inertons return the real sense to the wave -function as the eld 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 stated above has successfully been veried experimentally, though so far rather in microscopic and intermediate ranges.