dorsal/arxiv
View SchemaGraph kinematics of discrete physical objects: beyond space-time. III. Heisenberg -- Dyson's two-layer physics approach
| Authors | V. E. Asribekov |
|---|---|
| Categories | |
| ArXiv ID | physics/0110026 |
| URL | https://arxiv.org/abs/physics/0110026 |
Abstract
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}$(\delta)$ 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}($\alpha$) (under layer); and some other concrete results of an analysis of structural peculiarities of DPO.
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"abstract": "In part III is realized the consistent development of Heisenberg--Dyson\u0027s\ntwo-layer matrix approximation to the graph formalism for postulating discrete\nphysical objects (DPO) introduced in parts I-II in the form of discrete sets of\ngraphs--skeleton ({\\bf SvT}) or root ({\\bf RvT}) $v$-trees, beyond common\nspace--time. It is noted that already in the late-1950s one made an attempt to\nformulate in physical theory the discontinuity as an element of some special\ndiagram technique. In the framework of pointed Heisenberg--Dyson\u0027s two-layer\nmatrix scheme, with an incidence {\\bf I} and a loop {\\bf CD}$(\\delta)$ graph\nmatrices, are got the following main results: (1) the many-``planes\u0027\u0027 {\\bf SvT}\nor {\\bf RvT} representation of any DPO in opposition to one-``plane\u0027\u0027 physical\nobjects in continuous physical models; (2) the superposition of different types\nof interaction for any microobject where {\\bf RvT} representation for\nshort-ranged interactions (weak, strong) is one-``plane\u0027\u0027 and for long-ranged\ninteractions (gravitational, electromagnetic) is many-``planes\u0027\u0027; (3) based on\nthe incidence matrix {\\bf I} (upper layer) ``graph geometry\u0027\u0027 of real DPO\ndescribes their peculiar many-``planes\u0027\u0027 inner structure beyond common\nspace--time; (4) the notion of interacting ``charge\u0027\u0027 can be extracted only\nfrom the symbolical quantities for the quasi-continuous field ``objects\u0027\u0027 by\nmeans of the loop matrix {\\bf CD}($\\alpha$) (under layer); and some other\nconcrete results of an analysis of structural peculiarities of DPO.",
"arxiv_id": "physics/0110026",
"authors": [
"V. E. Asribekov"
],
"categories": [
"physics.gen-ph"
],
"title": "Graph kinematics of discrete physical objects: beyond space-time. III. Heisenberg -- Dyson\u0027s two-layer physics approach",
"url": "https://arxiv.org/abs/physics/0110026"
},
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