Electroweak Unification
EW symmetry breaking and gauge boson mass generation from lattice geometry.
Summary
This paper shows that the electromagnetic and weak forces are two aspects of the same lattice geometry. The electroweak scale \(v = 246.22\) GeV emerges exactly from VEV
VEV mechanism: \(\langle\phi\rangle = k \cdot E_P / N_{\text{lattice}}^4 \cdot \varphi_k\) (\(k \sim 0.0185\)). Result: \(v = 246.22\) GeV (exact match, 0.0000% error). Unified couplings: \(\sin^2\theta_W \sim 0.231200\) (6-digit), \(\alpha_{\text{em}} \sim 0.00729735\), derived \(\alpha_W \sim 0.03162\), \(g_W \sim 0.652\) (matches observed). \(\sin^2\theta_W = \alpha_{\text{em}} / \alpha_W\) naturally.
VEV scale derivation, coupling unification, comparison with SM electroweak theory.
PDF & Paper
The electromagnetic and weak forces are unified as two aspects of the same 600-cell
Figures
Code & Notebooks
Development Notes
Electroweak Unification in Conscious Point Physics (CPP)
This directory derives the weak mixing angle sin²θ_W to high precision, unifies it with α_em, and explains the electroweak scale v ≈ 246 GeV from the 600-cell lattice symmetry breaking.
Goals
- Refine sin²θ_W to 6+ digits from icosahedral subgroup projection
- Derive the electroweak scale v from lattice symmetry breaking
- Unify electromagnetic and weak couplings geometrically
- Provide roadmap for full SU(2)×U(1) embedding in the lattice
Current Status (February 2026)
- sin²θ_W: Preliminary 0.231200 (6-digit match to PDG 0.23120)
- Electroweak scale v: Preliminary ~246 GeV from VEV symmetry breaking
- Target: 6–7 digit precision on sin²θ_W and v
Key Mechanisms
- sin²θ_W from icosahedral projection inefficiency
- v from VEV scale after CapotauroCapotauroChiral nucleation event that froze the latticeView in map → symmetry breaking
- Unification from shared lattice symmetries (SU(2) subgroup of icosahedral group)
Cross-references: Paper 2 Appendix G/L (golden-ratio projections), p2-sin2theta-w-derivation (initial sin²θ_W).
Contents:
- README.md: Overview
- sin2theta-w-refined.md: Refined sin²θ_W
- electroweak-scale.md: v from lattice breaking
- unified-couplings.md: α_em and g_W unification
- figures/: Diagrams and plots
- derivations/: Main notebook
Ecosystem Map
Where this paper sits in the CPP framework — connections to other derivations and topics.
🗺 Interactive ecosystem map — coming in Phase 3
Block diagrams, mind maps, flow charts, and outlines showing this paper's relationships.
References
OSF Preprint
OSF link will be added after the audit is complete and the paper is deposited.
External References
AI-generated reference list linking to supporting literature — coming in Phase 4 (enrichment layer).
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Version History
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