What question did this study set out to answer?

The study aims to evaluate the performance of the Cohesion Canon’s Φ operator across different versions and dynamical systems.

April 10, 2026Open Access

Empirical Evaluation of the Cohesion Canon v2.0–v3.2

Key Points

The study aims to evaluate the performance of the Cohesion Canon’s Φ operator across different versions and dynamical systems.
Tested three versions of the Φ operator: v2.0, v3.0, and v3.2.
Focused on various dynamical systems including wave systems and vortices.
Identified and corrected systematic weaknesses in spatial affinity stability.
Quantized vortex achieved 96.4% near unity under v3.0 to v3.2.
NLS soliton core reached Φ = 0.957 under v3.2.
All results reported transparently, including failures.

Abstract

This report documents the iterative empirical evaluation of the Cohesion Canon’s Φ operator acrossmultiple dynamical systems. Three versions of the operator are tested: v2.0 (ratio-based), v3.0(geometric mean of Balance, Affinity Stability, Continuance), and v3.2 (temporal affinity stability).The evaluation identifies a systematic weakness in spatial affinity stability for wave systems andcorrects it. Key results: the quantized vortex (System 7) achieves 96.4% near unity under v3.0–v3.2; the NLS soliton core achieves Φ = 0.957 under v3.2. All results are reported honestly,including failures. The framework is unverified by physical experiment and all conclusions areprovisional.

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Dexter Coen Gilbert

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Empirical Evaluation of the Cohesion Canon v2.0–v3.2

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