Vacuum Crystallography: The Standard Model as Topological Defects in a Harmonic Lattice

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Authors: Nicholas hicks, SOLOS Institute
Cited by: 0

Abstract

Derives the complete Standard Model from discrete vacuum geometry using the Schwarz Primitive minimal surface. Leptons emerge as perfect screw dislocations (integer Burgers vectors), quarks as partial dislocations (fractional charge 2/3, 1/3), and gluons from crystallographic fault plane orientations. Explicitly calculates 8-color gluon structure from cubic symmetry via singlet projection (reduces 10→8). Predicts Normal Hierarchy neutrino masses with Δm²₂₁ ≈ 7.42×10⁻⁵ eV² using damped Golden Ratio scaling m_k ≈ m₀/φ^(k-1), achieving Σm_ν ~ 0.06 eV. Mixing angles derive geometrically (θ₁₂ ≈ 31.7°, within 3-5% observed). Confinement emerges from stacking fault energy σ ~ 1 GeV/fm. Falsifiable via DUNE (neutrino hierarchy), Hyper-K (mixing angles), UHECR (Lorentz violations), and cluster merger dynamics. Keywords: Standard Model, topological defects, Schwarz surface, gluon color charge, neutrino masses, Normal Hierarchy, golden ratio, confinement, stacking faults, minimal surface, Burgers vector, crystallographic defects

Fields of Study & Subjects

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

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 January 2026
Document type
Preprint