Submitted:
31 December 2025
Posted:
31 December 2025
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Abstract
We present the electroweak sector of Geometric Design (codename GD-313) in a form suitablefor referee audit. The framework selects the 3–13 vacuum Gr(3, 16) via a bounded integer corridordefined by two publicly tabulated anchors. On the dynamical side, we specify an explicit embeddingof SU(2)L °ø U(1)Y into the U(16) structure compatible with the (3, 13) split and computethe induced one-loop coupling ratio from the Grassmannian coset sector. Under clearly statedassumptions (background-field gauge and cancellation of the universal prefactor in the ratio), theindex computation yields sin2 θW = 3/13 at the declared matching convention. We provide anauditable appendices package: embedding generators, index computation, and a reproducibility checklist.
Keywords:
electroweak embedding
; weak mixing angle
; Weinberg angle
; sin2 θW
; coupling ratio
; gauge coupling
; relations
; electroweak sector
; standard model parameters
; geometric unification
; induced coupling
; symmetry embedding
; beyond the standard model
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
