РЕЛЯЦИОННОЕ ОПИСАНИЕ ЭЛЕКТРОСЛАБЫХ ВЗАИМОДЕЙСТВИЙ

В рамках развитой в нашей группе бинарной предгеометрии предлагается описание электрослабых взаимодействий элементарных частиц. Это осуществляется на основе бинарной системы комплексных отношенийранга (4,4). Показано, что в данной теории описание связанных и несвязанных состояний элементарныхчастиц осуществляется в различных геометриях, что уже отмечалось В. А. Фоком при открытии 0(4)-симметрии в задаче водородоподобных атомов.

RELATIONAL DESCRIPTION OF ELECTROWEAK INTERACTIONS

The binary pregeometry was used as a mathematical basis for the relational approach. The description ofelectroweak interactions of elementary particles is realized by binary systems of complex relations of rank (4,4).In this paper, we show that there are three variants for writing a basic 4 x 4-relation. In this cases, the basic4 x 4-relation is represented as a square of the SL(2,C) invariant. This invariant constructed from two 2-component spinors formed from elements of bound particles. One of these variants was used to describe theelectromagnetic interaction of two particles in the relational statistical theory of a hydrogen atom. Two othervariants are characterized by mixing in 2-component spinors of left and right components of particles in thebound state. These variants are proposed to be used to describe a simplified model of electroweak decay. Boundand unbound states of elementary particles were described in the framework of different geometries, which hadbeen mentioned by V. A. Fock for 0(4) symmetry in the hydrogen-like atom problem.