Abstract
An algebraic approach to a description of electroweak and strong interactions is examined in the context of binary geometric physics based on the principles of the Fokker–Feynman direct interparticle interaction theories, the Kalutsa–Klein multidimensional geometrical models, and the theory of physical structures. It is demonstrated that in this approach, the electroweak and strong interactions of elementary particles through intermediate vector bosons are characterized by subtypes of the algebraic classification of complex 3×3 matrices suggested by A. Z. Petrov for the classification of the Einstein's spaces.
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Bolokhov, S.V., Vladimirov, Y.S. Algebra of Strong and Electroweak Interactions. Russian Physics Journal 47, 370–378 (2004). https://doi.org/10.1023/B:RUPJ.0000042766.07028.e7
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DOI: https://doi.org/10.1023/B:RUPJ.0000042766.07028.e7