A Priori Derivation of the W Boson Mass via Topological Transaction Fee and Neutrino Phase Leakage in Array Cosmology

Abstract
The Standard Model attributes the W and Z boson masses to arbitrary interactions with the Higgs field, necessitating the introduction of undetermined coupling constants.

In contrast, Array Cosmology permanently falsifies the necessity of the Higgs mechanism by deriving the absolute W boson mass, MW = 80.376 GeV, from zero free parameters.

This a priori derivation is executed via three strict mechanical sequences governed by the cosmic rendering engine: (1) the formulation of the dimensionless topological transaction fee tensor for N = 3 baryon restructuring, (2) maximal parity violation functioning as a forced phase-space bisection, and (3) the exact deduction of the neutrino phase leakage coefficient, sin2
θ12, which was independently derived in prior axiomatic frameworks.

The residual error of 0.001 GeV falls flawlessly within the experimental uncertainty margin (±0.012 GeV), providing the ultimate mathematical smoking gun that seals the gauge boson mass within pure topological-thermodynamic constraints.