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On the Concept of Spin

I. B. Pestov
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Abstract

It is substantiated that spin is a notion associated with the group of internal symmetry that is tightly connected with the geometrical structure of spacetime. The wave equation for the description of the particles with spin one half is proposed. On this ground it is shown that the spin of electron is exhibited through the quantum number and accordingly the Dirac equation describes properties of particles with the projection of spin equal plus or minus one half. On contrary, we put forward the conjecture that the spin of the quark cannot be considered as a quantum number, but only as an origin of a non-abelian gauge field. It is a deep reason for understanding quark-lepton symmetry and such important phenomena as quark confinement.

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I. B. Pestov. 2001-12-19. On the Concept of Spin. https://arxiv.org/abs/hep-th/0112172

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