Fermions with spin 1/2 as global SO(3) vortices

Leonid Lantsman

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arXiv · 0709.3717

Fermions with spin 1/2 as global SO(3) vortices

Leonid Lantsman

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Abstract

In this paper we show that the nontrivial fundamental group $π_1 SO(3) ={\Bbb Z}_2$ for the group SO(3) of global proper rotations of a four-dimensional Euclidian space (when a spin structure is introduced preliminarily in that space) implies always fermions as global SO(3) vortices, while bosons can be reduced to trivial lines (contracted into a point) in the SO(3) group space.

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Leonid Lantsman. 2007-09-24. Fermions with spin 1/2 as global SO(3) vortices. https://arxiv.org/abs/0709.3717

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