Summary
We show that spin is properly described in terms of two inequivalent classes of fiber bundles with structure groupSO(3). One class accommodates only integer spin particles, while the second class includes both bosons and fermions. Thus, in particular, the usual double covering of tangent spaces and the universal covering groupSU(2) play no necessary role in the description of spinors.
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Ross, D.K. SO(3) fiber bundles and spinors. Nuov Cim B 106, 1017–1022 (1991). https://doi.org/10.1007/BF02728345
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DOI: https://doi.org/10.1007/BF02728345