On the Electron Spin Origin and Related Symmetry Aspects

Main Article Content

Anatolij K Prykarpatski

Abstract

We present a novel discussion of the electron spin origin, its symmetry properties and related conservation laws from a mathematical physics point of view, having
put into the background the algebraic description of the corresponding physically observed representations. There is analyzed in detail, the spin structure and its crucial
dependence on the SU(2)− symmetry properties of the related representations of the basic Clifford algebra, generated by creation-annihilation operators on the Fock space
and the related chirality symmetry of the Pauli spin operators. Based on the conservation law of the spin projection on the electron momentum, a novel derivation of the
Dirac Hamiltonian operator, whose Lorentz invariance is naturally related to that of the fundamental Maxwell equations, whose quanta are carriers of interaction between
electrons.

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K Prykarpatski, A. (2026). On the Electron Spin Origin and Related Symmetry Aspects. Annals of Mathematics and Physics, 049–057. https://doi.org/10.17352/amp.000180
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Copyright (c) 2026 Prykarpatski AK. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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