A framework uncovers connections across disciplines using a single axiom, implying new insights.
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. Coupling constants are derived from Fibonacci-indexed primes (alpha_s = sqrt(19)/37, 1/alpha = 137 + 13/19^2). Statistical analysis of 20 cross-domain correspondences yields a combined significance of approximately sigma 9.2. 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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