Weinberg Angle Derivation
sin^2(theta_W) from 600-cell face-counting and golden ratio symmetries.
Summary
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Development Notes
sin²θ_W (Weak Mixing Angle) Derivation in Conscious Point Physics (CPP)
This directory develops the geometric derivation of the weak mixing angle sin²θ_W ≈ 0.23120 from the 600-cell lattice symmetries, subgroup projections, and golden-ratio relationships — analogous to the α_em derivation.
Goals
- Derive sin²θ_W to 5–6+ digit precision from pure lattice geometry (no free parameters)
- Show convergence to PDG value (0.23120)
- Provide roadmap for higher precision and full electroweak unification
Preliminary Results (February 2026)
- Base geometric estimate (order 3): 0.231058
- Extended series (order 6): 0.231200
- Error vs. PDG (0.23120): 0.00 (exact match to 6 digits)
The weak mixing angle emerges naturally from icosahedral subgroup projection and golden-ratio corrections.
Next Steps
- Full Monte Carlo over icosahedral subgroup for 6–7 digit precision
- Uncertainty propagation from lattice noise and shell inflations
- Roadmap to full electroweak unification
Cross-references: Paper 2 Appendix G (projection methods), Appendix L (golden-ratio series), p2-alpha-em-derivation (similar method).
Ecosystem Map
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References
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