From One Axiom to Fourteen Constants: The Complete Geometric Derivation

Starting from a single axiom — one wave on a strip with Z₃ topology — fourteen independently measured physical constants are derived through pure geometry. The tight frame identity for three equally-spaced vectors yields a universal cross-coupling of 1/6. The observer's measured displacement δ = 2.00° from the anti-gravity node produces: the fine structure constant as α = 6·sin²(δ) (0.14% error), the Weinberg angle from cos²(62°)/cos²(6°) (0.03%), the baryonic fraction from (2/9)·cos²(62°) (0.04%), the strong coupling from 6·sin²(4δ) (1.4%), and the weak coupling from α/sin²θ_W (0.17%). The gravitational constant follows from α_G = √3·α¹⁸, where 18 = |Z₃ × Z₃ × Z₂| is the order of the two-body symmetry group…