Graph kinematics of discrete physical objects: beyond space-time. II. Microobjects structure in two-layer matrix approximation

Abstract

A concrete analysis of the general properties and numerical characteristics of different atomic and nuclear shell systems and subnuclear particles is carried out on the base of the solution scheme for an introduced in part I physical graph kinematics which give rise to the two-layer matrix representation of the structure of any discrete physical microobject within the self-consistent ``graph geometry''. It is given a Riemann's foundation of the discrete manifolds in the infinitesimal and a creation of the discrete quantity notion with an operation of ``count'' of ``homogeneous elements'' (instead of a ``measurement'' with a scale for the continuous quantity). For ``graph microgeometry'' such special consideration in the framework of Heisenberg's $S$-matrix particle formalism leads to the proper ``internal geometry'' with root trees basis provided for, in the first place, an estimation of all masses of topologically different subnuclear particles.