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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Structural Correspondence between the Standard Model and Vacuum Geometry: SU (3) ×SU (2) ×U (1) from the Cuboctahedron

Authors: Kulkarni, Raghu;

Structural Correspondence between the Standard Model and Vacuum Geometry: SU (3) ×SU (2) ×U (1) from the Cuboctahedron

Abstract

The Standard Model is defined by its core gauge group SU(3) × SU(2) × U(1). We propose that this structure is not an arbitrary continuous symmetry, but cor- responds strictly to the localized face topology of a discrete, saturated vacuum lat- tice. Identifying the vacuum unit cell as the Cuboctahedron (the Voronoi cell of the Face-Centered Cubic lattice, K = 12), we map a direct structural correspondence between its boundary faces and the Standard Model forces. The 8 non-bipartite triangular faces induce geometric frustration, providing a topological basis for the 8 generators of the confining SU(3) sector. Conversely, the 6 bipartite square faces support continuous flux screening, perfectly hosting the electroweak SU(2) × U(1) sector. Applying this discrete geometry, we directly calculate the bare high-energy Weinberg angle as sin2 θW = 3/13.

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selected citations
These citations are derived from selected sources.
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!
0
Average
Average
Average
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