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2020, no. 1

SPACE-TIME STRUCTURE IN THE MICROCOSM AND THE PROPERTIES OF ELEMENTARY PARTICLES

Popov N.N.

The relations between the hidden symmetries of the six-dimensional pseudo-Euclidean space with signature (+ + + - - -) and the concerved quantum characteristics of elementary particles is established. The hidden symmetries are brought out by the various forms of representation of the pseudo-Euclidean space metric with the aid of spinors and hyperbolic complex numbers. Using the emerging hidden symmetry groups one can disclose such conserved quantum characteristics as spin, isospin, electric and baryon charges, hypercharge, color and flavor. One can also predict the exact number of such concerved quantum characteristics of quarks as color and flavor.

Keywords: pseudo-Euclidean space, hidden groups of metric motion, spinors, hyperbolic complex numbers, hyperbolic unitary operators.

UDC: 51-71, 515.173

DOI: 10.17238/issn2226-8812.2020.1.39-52

Please cite this article in English as:
Popov N.N. Space-time structure in the microcosm and the properties of elementary particles. Space, Time and Fundamental Interactions, 2020, no. 1, pp. 39-52.