Geometry of Sound v3.16

Geometry of Sound (GoS) is an empirical geometric model of particle masses, mixing matrices, cosmological parameters, and neutrino properties, built on the cascade of Platonic solids. In version v3.16 the model is fully closed: all structural parameters are derived from the cascade. Zero free parameters, zero fitted parameters. The following results are presented: — Derivation of the fine-structure constant: α⁻¹ = 137 + N_c²/(5·ΣV)— All 12 G-factors (structural, no empirical parameters)— CKM and PMNS mixing matrices from octahedron fold structure— CP phases: δ_CP = 232°, δ_CKM = arctan(24^(1/4))— N-quantization: three family rules (9/9 exact)— Merkaba dynamics: T_spin = 10π, resonance condition rot_speed = V_tet/V_dod— Gravity as a restatement of the mass formula (0.1% match for proton-proton)— Neutrino mass exponents via fold structure: S = {−2·3, −φ, +2}— Sterile neutrino prediction: S = 4 + 5 = 9, m ≈ 1.44 eV (reactor anomaly scale) The model is not a complete physical theory but an empirical geometric pattern requiring formalization through quantum field theory. All results are reproducible; scripts and data are provided in the package. This work is a continuation of GoS v19 (DOI: 10.5281/zenodo.22650356).