The Coherence Axioms

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Four axioms, at a glance

These plain-language introductions outline the progression from emergence to feedback. The full specification contains the formal definitions, assumptions, and derivations.

Axiom I · Ψ₀ — Minimal Emergent Coherent Excitation

How does coherent structure begin? This axiom examines the emergence of a non-null configuration above a defined baseline, and the conditions under which it can count as a minimal starting point.

Axiom II · Ψ₁ — Coherent Differentiation

How does structure become more differentiated? Internal strain drives structural expansion. This axiom describes differentiation while retaining the constraints that make the configuration coherent.

Axiom III · Ψ₂ — Constraint Stabilization and Boundary Formation

What holds a differentiated structure together? Stabilizing constraints establish boundaries and limit divergence, defining the conditions under which a configuration can remain coherent.

Axiom IV · Ψ₃ — Interaction, Coupling, and Feedback Regulation

How does coherence respond to interaction? Coupling and feedback connect changes within a structure to its constraints, supporting ongoing regulation rather than a single pass-or-fail judgment.

Based on SC-AXIOM-000001. These previews are explanatory summaries, not substitutes for the canonical definitions. Structural Coherence is descriptive; it does not establish empirical validation, moral prescriptions, or institutional authority.

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