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The aim is to develop a mathematical framework from a single axiom using finite group structure.

June 19, 2026Open Access

One Axiom : Mathematica

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The aim is to develop a mathematical framework from a single axiom using finite group structure.
Derivation of coherence valuation from the finite group G = S₄ × ℤ₂³.
Utilization of standard group theory to achieve classical set theory emergence.
Construction driven by relational quotient G/H to quantify emergent structure.
Nine axioms of ZFC constructed as coherence-preserving operations from the framework.
Emergent continuity and ontological decoupling support quantized coherence with continuous analysis.
Coherence deficit quantified as (e − 1)/e, with strict inclusion ZFC ⊊ GRA.

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Randomized trial develops coherence valuation in group theory, indicating a new foundational perspective.

Robert Spychalski (2026) studied this question.

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