This collection reveals five significant constants via a framework based on a single axiom, spanning multiple disciplines.
A ten-paper collection deriving the architecture of eight disciplines (mathematics, physics, chemistry, linguistics, biology, sociology, technology, spirituality) from a single axiom: the hypersphere. The framework identifies eight mathematical families in four FORM/FLUX pairs (Fibonacci/Lucas, Primes/Binary, Platonic solids/Sphere, Heegner numbers/j-invariant) as a closed generating set with 4x2 architecture. Five continuous constants are derived from zero free parameters: 1/alpha = 137 + 13/(361 + 8/(67 + 29/(1424 - 10/163))) at sigma 5.5e-9 (essentially exact), alpha_s via sqrt(19)/37 with circle shave at sigma 0.0007, Higgs vev = 248 - 2 + 80/361 at sigma 0.04, sin^2(theta_W) = 3/8 - 67/466 at sigma 0.08, and 1/alpha(M_Z) = 128 - 1/21 at sigma 0.042. All five sub-0.1 sigma. Statistical analysis of 20 cross-domain correspondences yields a combined significance of approximately sigma 12.8 (P ~ 10^-37). Domain-clustered worst case: 6.71 sigma. Accompanied by Python scripts for parametric sigma analysis and non-parametric Monte Carlo validation."
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Brian Christopher Giles (2026) studied this question.
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