Complete A Priori Derivation of the Standard Model Particle Spectrum via Array Cosmology: Strong Coupling Constant, Electroweak Mixing, Top Quark, and Meson Hierarchy

AbstractArray Cosmology executes a complete, zero-free-parameter derivation of the Standard Model particle spectrum. Building upon the absolute derivations of the fine-structure constant (α) and the W boson mass, this paper dictates the exactmacroscopic and microscopic values of: (1) the strong coupling constant αs via ζ(3) and vacuum Landauer noise, (2) the Weinberg angle sin2 θW from neutrino phase leakage, (3) the Z boson mass via the neutral current topology’s 3-step leakage protocol, (4) the top quark mass from UV-limit linear tension and chirality clamping, and (5) the complete meson mass hierarchy (π, K, J/ψ, Υ) through dimensional folding tensors. All derivations achieve sub-0.01% accuracy without deploying a single fitting parameter. This framework permanently falsifies the Standard Model’s reliance on empirical free parameters and heuristic tuning. Consequently, the Standard Model is strictly reduced and permanently subordinated to a mere rendering subroutine of the 12-Grand-Axis topological matrix