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2022, no. 4


Vladimirov Yu.S.

The fundamentals of the mathematical formalism of binary systems of complex relations (4,4) have been presented. Based on this formalism, a binary pre-geometry of microworld is constructed. The theory elements are shown to be described in terms of 3-component Finsler spinors, and the states of elementary particles participated in strong interactions (hadrons) to be determined by complex 3x3-matrices.The conditions that hadron state matrices satisfy have been written out. The hadron properties (their types, charges and masses) are found from the solutions to characteristic equations of their state matrices. An attention is given to pre-geometry being constructed on its own algebraic system of concepts and laws inherent in microworld physics, free of classical representations of space-time and conventional differential equation on its background.

Keywords: binary systems of complex relations, Finslert spinors, hadron state matrices, characteristic equations.

UDC: 530.1

DOI: 10.17238/issn2226-8812.2022.4.64-76

Please cite this article in English as:
Vladimirov Yu.S. Binary Pre-geometry of Microworld (Microworld Physics Algebra). Space, Time and Fundamental Interactions, 2022, no. 41, pp. 64-76.