The Weinberg Angle from Foam Geometry: sin²θ_W = 3/8 at the GUT Scale
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901074413092864 |
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| author | Martin, Luke |
| author_facet | Martin, Luke |
| contents | <p>The weak mixing angle sin²θ_W = 3/8 at the GUT scale is derived as an exact theorem from the mode dimension ratio of the face Laplacian of the truncated octahedron (Kelvin cell). The T₂g sector (dim=3) gives SU(3)_c, the T₁u sector (dim=3) gives SU(2)_L, and the A₁g sector (dim=1) gives U(1)_Y. The ratio sin²θ_W = 3/8 follows from the hypercharge assignments of these sectors. The 2-loop self-consistent GUT calculation using all foam-derived beta coefficients gives M_GUT = 1.50×10¹⁶ GeV, α_GUT = 1/46, and reproduces α_s(M_Z) = 0.1179 exactly from the GUT chain.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19063822 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Weinberg Angle from Foam Geometry: sin²θ_W = 3/8 at the GUT Scale Martin, Luke Weinberg angle weak mixing angle electroweak SU(2) U(1) GUT scale foam geometry gauge coupling unification Standard Model UFFT <p>The weak mixing angle sin²θ_W = 3/8 at the GUT scale is derived as an exact theorem from the mode dimension ratio of the face Laplacian of the truncated octahedron (Kelvin cell). The T₂g sector (dim=3) gives SU(3)_c, the T₁u sector (dim=3) gives SU(2)_L, and the A₁g sector (dim=1) gives U(1)_Y. The ratio sin²θ_W = 3/8 follows from the hypercharge assignments of these sectors. The 2-loop self-consistent GUT calculation using all foam-derived beta coefficients gives M_GUT = 1.50×10¹⁶ GeV, α_GUT = 1/46, and reproduces α_s(M_Z) = 0.1179 exactly from the GUT chain.</p> |
| title | The Weinberg Angle from Foam Geometry: sin²θ_W = 3/8 at the GUT Scale |
| topic | Weinberg angle weak mixing angle electroweak SU(2) U(1) GUT scale foam geometry gauge coupling unification Standard Model UFFT |
| url | https://doi.org/10.5281/zenodo.19063822 |