What does this research mean for the field?

A unified framework can derive the architecture of eight disciplines from a single axiom, the hypersphere, demonstrating significant cross-domain correspondences. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

To explore the connection of eight disciplines derived from a single axiom, the hypersphere.

February 19, 2026Open Access

SOLACOR: The Generating Set of Reality -- A Cross-Domain Framework from One Axiom to Eight Disciplines

Key Points

To explore the connection of eight disciplines derived from a single axiom, the hypersphere.
Developed a ten-paper collection outlining eight disciplines.
Identified eight mathematical families in four FORM/FLUX pairs.
Derived coupling constants from Fibonacci-indexed primes.
Performed statistical analysis of 20 cross-domain correspondences.
Established a closed generating set with 4x2 architecture.
Achieved a combined significance of approximately sigma 9.2.
Provided Python scripts for sigma analysis and Monte Carlo validation.

Abstract

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 (alphaₛ = sqrt (19) /37, 1/alpha = 137 + 13/19²). 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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