Paper: https://doi.org/10.5281/zenodo.19978109
One self-consistent fixed point Ω* on the E₈ lattice produces two projections: 𝒦 = log₂(4/3) (discrete structure) and π (spectral curvature) — dual faces of one geometric object. Quantum mechanics and general relativity are not reconciled — they are two aspects of the same lattice: QM is its dynamics (S†S=I, §24), GR emerges from its geometry (Sakharov, §28). From this single structure, 746 formulas across 23 domains follow with zero free parameters.
The derivation chain (every step derived, not postulated):
- Symmetry: E₈ lattice, kissing numbers K₁=2 through K₈=240 (Viazovska 2017)
- Lagrangian: Three-term action on E₈ including det(A)^{1/2} — already nonlinear
- Field equations: Einstein-Hilbert via two independent routes (Deser 1970 + Sakharov 1967)
- Gauge groups: E₈ → E₇ → E₆ → D₄ → SU(3)×SU(2)×U(1). D₄ uniquely selected by triality → Cl(1,3)
- Constants: α⁻¹=137 (0.026%), m_p/m_e=1836 (0.008%), complete CKM and PMNS, 5 SEMF coefficients (R²=0.972), 24 cosmo params, 85 DNA constants
- Predictions: r≈0.005 (CMB-S4), Σmν=0.168 eV (KATRIN), w₀=−1 exactly (Euclid)
Self-closure (why not numerology): 𝒦 generates E₈ → K-numbers fix N_fix=114 → N_fix×𝒦 reconstructs the lattice. Generator = dissipation. The loop closes. Numerology cannot close on itself, derive its own error bound, or predict that precision decreases monotonically from nuclear to economics. This does all three.
Core thesis: The same K-numbers that determine nuclear binding also determine DNA geometry, amino acid thermodynamics, the genetic code, and cosmological parameters. Not analogy — same derivation from the same fixed point.