The Operator Manifold Formalism. I

1998/12/20 by G. Ter-Kazarian, G. T. Ter-Kazarian, Ter-Kazarian, G. T.
Engineering · Physics and Astronomy · #Advanced Numerical Analysis Techniques #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9812181

LaTex, 30 pages

arxiv created 1998/12/20 · arxiv updated 2009/11/30

Abstract

The suggested operator manifold formalism enables to develop an approach to the unification of the geometry and the field theory. We also elaborate the formalism of operator multimanifold yielding the multiworld geometry involving the spacetime continuum and internal worlds, where the subquarks are defined implying the Confinement and Gauge principles. This formalism in Part II (hep-th/9812182) is used to develop further the microscopic approach to some key problems of particle physics.

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