Mathematical configuration of real physical space

Abstract

Real physical space, as a purely mathematical structure formed according to the rules of set theory, topology, and fractal geometry, was proposed by Michel Bounias (1943–2003) and the author. It emerges as a mathematical lattice of primary topological balls, which was named a tessellattice, and the size of a cell/ball in the tessellattice is comparative with the Planck length, 10^-35 m. Discrete fractal properties of the tessellattice allow the prediction of scales at which submicroscopic to cosmic structures should occur. This approach allows the development of a submicroscopic concept of physics, which describes Nature at a much deeper level than offered by the quantum-mechanical formalism developed at the atom scale, 10^-10 m. In addition, the approach makes it possible to define such fundamental physical notions as mass and charge from first submicroscopic principles, and this actually means that fundamental mathematics lays down the basic concepts of physics.