arXiv subjects

V. E. Asribekov

Publications and source records attributed to V. E. Asribekov.

3 recordsLinked to original sources

arXiv2001

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

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.

physics.gen-ph↗

arXiv2001

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

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.

physics.gen-ph↗

arXiv2001

Graph kinematics of discrete physical objects: beyond space-time. III. Heisenberg -- Dyson's two-layer physics approach

In part III is realized the consistent development of Heisenberg--Dyson's two-layer matrix approximation to the graph formalism for postulating discrete physical objects (DPO) introduced in parts I-II in the form of discrete sets of graphs--skeleton ({\bf SvT}) or root ({\bf RvT}) $v$-trees, beyond common space--time. It is noted that already in the late-1950s one made an attempt to formulate in physical theory the discontinuity as an element of some special diagram technique. In the framework of pointed Heisenberg--Dyson's two-layer matrix scheme, with an incidence {\bf I} and a loop {\bf CD}$(δ)$ graph matrices, are got the following main results: (1) the many-``planes'' {\bf SvT} or {\bf RvT} representation of any DPO in opposition to one-``plane'' physical objects in continuous physical models; (2) the superposition of different types of interaction for any microobject where {\bf RvT} representation for short-ranged interactions (weak, strong) is one-``plane'' and for long-ranged interactions (gravitational, electromagnetic) is many-``planes''; (3) based on the incidence matrix {\bf I} (upper layer) ``graph geometry'' of real DPO describes their peculiar many-``planes'' inner structure beyond common space--time; (4) the notion of interacting ``charge'' can be extracted only from the symbolical quantities for the quasi-continuous field ``objects'' by means of the loop matrix {\bf CD}($α$) (under layer); and some other concrete results of an analysis of structural peculiarities of DPO.

physics.gen-ph↗