standard model from one iteration

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Authors: Karl Blair
Cited by: 0

Abstract

The Geometric Standard Model is a highly original, minimalist theoretical framework that derives the entire Standard Model of particle physics—complete with its gauge group SU(3)₍c₎ × SU(2)₍L₎ × U(1)₍Y₎, three generations of fermions, the Higgs mechanism with vev ≈ 246 GeV, realistic mass hierarchies, CKM and PMNS mixing angles, gauge couplings, and even a natural type-I seesaw for neutrino masses—from literally a single starting object: a non-zero Flower-of-Life hexagonal lattice seed. Using only the quadratic dynamical map z ↦ z² + c to filter bounded orbits, spontaneous symmetry breaking via a 6→3 chiral collapse, spherical closure on the icosahedron producing exactly 12 pentagonal defects (the geometric origin of the Higgs doublet and A₅ flavor symmetry), and golden-ratio (φ)-scaled distances to these defects for Yukawa couplings, the model generates all 19 Standard Model parameters plus neutrino masses with no external tuning. A full dynamical lattice simulation on the resulting survivor graph, including hybrid Monte-Carlo with fluctuating gauge fields and defect modes, reproduces experimental values to within 1% and predicts subtle beyond-SM signatures such as small Higgs γγ deviations and light axion-like particles, offering a geometrically unified, predictive ultraviolet completion of particle physics rooted entirely in one primordial non-zero point.

Fields of Study & Subjects

Particle physics theoretical and experimental studies Advanced Mathematical Theories and Applications Relativity and Gravitational Theory

Publication details

Journal / source
Figshare
Publication date
1 January 2026