Abstract
The paper indicates principles and fundamentals of binary pre-geometry in the framework of the relational paradigm based on the formalism of binary systems of complex relations of rank (4,4). Description of elementary particles (hadrons) in terms of the values of roots of the characteristic equation of complex 3×3-matrices has been proposed. The baryons are shown to be described by the subtype I solutions of algebraic classification, and the mesons by D and O ones (with identical roots), which justifies the conventional types of hadrons, the values of their electric charges. Algebraic formulae for their mass have been presented. The meson solutions form the basis of three nuclear structures of Mendeleev’s table.
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