| _version_ | 1866901390316535808 |
|---|---|
| author | Li, Ge |
| author_facet | Li, Ge |
| contents | <p>We prove a topological selection theorem: on a compact embedded surface Σ ⊂ M³ with normal-bundle Euler class T_m = e(NΣ) = 1, the only spin representation of Spin(2) ≅ U(1) admitting a consistent spinor wavefunction is the charge-1 fundamental representation, corresponding to spin j = ½. Higher-spin representations require T_m ≥ 3 and are inaccessible from the T_m = 1 sector.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20075722 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topological Selection of Spin-½: Spin(2) Representations from Möbius Normal Bundle Holonomy Li, Ge <p>We prove a topological selection theorem: on a compact embedded surface Σ ⊂ M³ with normal-bundle Euler class T_m = e(NΣ) = 1, the only spin representation of Spin(2) ≅ U(1) admitting a consistent spinor wavefunction is the charge-1 fundamental representation, corresponding to spin j = ½. Higher-spin representations require T_m ≥ 3 and are inaccessible from the T_m = 1 sector.</p> |
| title | Topological Selection of Spin-½: Spin(2) Representations from Möbius Normal Bundle Holonomy |
| url | https://doi.org/10.5281/zenodo.20075722 |