Geometry of Sound (GoS) v20 Dynamics — Extension of v19

This is the dynamics extension of the Geometry of Sound (GoS) model, continuing the empirical geometric model of fundamental particle masses (v19, DOI: 10.5281/zenodo.22650356). MAIN RESULTS: 1. N = 8 from dynamics: 7.9867 assemblies per Merkaba cycle yield N = 8, the Higgs hierarchy level. Direct derivation, not a postulate. 2. Unified Higgs system from one formula X = X_tree * (1 + A_breath^2 / k): - VEV = sqrt(2*pi) * m_P * alpha^8 * (1 + A^2/8) = 246.2205 GeV (exp. 246.22, 0.0002%) - m_H = m_P * alpha^8 * sqrt(phi) * (1 + A^2/1.5) = 125.2408 GeV (exp. 125.25, 0.0074%) - lambda = phi/(4pi) * (1 + A^2) = 0.129317 (exp. 0.129383, 0.051%) - Standard Model consistency: m_H = sqrt(2*lambda*VEV^2) holds to 0.025% 3. Six quarks from six antipodal pairs of icosahedron faces. 4. Z boson: sin^2(theta_W) = phi/7 = 0.231148 (exp. 0.231227, 0.03%). 5. W bosons on icosahedron vertices (5 of 6 pairs active). 6. alpha_s = 10 * alpha * phi = 0.118074 (0.06%). 7. Gravity: 1/r law confirmed through Merkaba synchronization. 8. Yang-Mills: Laplacian spectrum of dodecahedron is phi-organized, mass gap lambda_1 > 0 (physical analogy, not proof). HONEST LIMITATIONS:- Attempt to derive k as a function of Platonic sphere ratios NOT confirmed statistically (Z < 2sigma due to look-elsewhere effect).- Exact formula for gravitational constant G not found.- Strict SU(3) interpretation of 8 gluon paths requires QFT formalization.- Dynamical derivation of neutrinos (N=14) remains open. The model is empirical and requires QFT formalization for a complete theory. All results are reproducible through the included Python scripts. DISCLAIMER: This work is a continuation of GoS v19 (DOI: 10.5281/zenodo.22650356). It is an empirical geometric model, not a complete physical theory. All derivations require formalization via Quantum Field Theory. The author welcomes constructive criticism and collaboration.