Graph kinematics of discrete physical objects: beyond space-time. I. General

Abstract

The necessity of an introduction of discrete physical objects in physics conception is analysed taking into consideration an optimum stage for postulating of some like objects in microworld as well as in macroworld including the new ``physical graph'' as a discrete microobject and carrying out its analogy with ``Kirchhoff's laws graph'' for an electric network as a prototype of discrete macroobject which correspond both to discrete sets of trees -- root trees (for microobjects) or skeleton trees (for macro networks). The transitions are found connecting the usual $S$-matrix theory with Feynman integrals and Feynman diagrams and the new physical graph kinematics formalism which uses the natural root trees basis for the treatment of the structure of an arbitrary complicated physical microobject with a specific ``graph microgeometry'' -- beyond space-time consideration. Accordingly to the QCD results the proton (nucleon) mass is determined in terms of the root trees number $T_{v=3D11}$=3D1842 which corresponds to v=3D11 physical graph vertices. It is supposed that by means of a double- and a triple-splitting of the root trees numbers could be estimated the masses of the various series of another microobjects.