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Article . 2026
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Preprint . 2026
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Article . 2026
License: CC BY
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Article . 2026
License: CC BY
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ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Derivation of the Weinberg Angle from the FCC Vacuum Lattice

descriptionPublicationkeyboard_double_arrow_right Preprint , Article 04 Jun 2026Publisher:Zenodo
Authors: Geesey, Corey J. H.;

doi: 10.5281/zenodo.20538432 , 10.5281/zenodo.20547625 , 10.5281/zenodo.20547624 , 10.5281/zenodo.20539261

Derivation of the Weinberg Angle from the FCC Vacuum Lattice

Abstract

A first-principles derivation of the Weinberg angle sin²θ_W = 1/φ³ from the group theory of the FCC vacuum lattice. The 12-dimensional edge representation decomposes as A₁ ⊕ E ⊕ T₁ ⊕ 2T₂ under the octahedral group. The Coxeter projection of the cuboctahedron fixes the ratio of the electromagnetic (A₁) and weak (E) subspace norms, giving a geometric prediction within 2% of the measured value.

Keywords

Weinberg, Coxeter group, Golden ratio, Weinberg angle, Fcc, Weak mixing

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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