G₂ - Structure ≠ Outcome - Judgment on Outcome-Based Claims of Structural Admissibility

This paper adjudicates the boundary case in which structural admissibility is inferred from outcome behavior or state-level performance. It establishes that observed success, stability, or convergence cannot serve as substitutes for structural justification under recurrence. Within the Ψ framework, structural admissibility pertains exclusively to the properties of structure S and cannot be derived from outcome metrics. The paper formalizes outcome–structure substitution as a category collapse and excludes such decision types from admissibility. No temporal, empirical, or system-level claims are made. --- Intellectual Property & Licensing The KOGNETIK Research Series is released under the Creative Commons Attribution–NonCommercial 4.0 International License (CC BY-NC 4.0). All scientific works within the series may be cited, shared, and adapted for non-commercial research purposes with proper attribution. Commercial use—including consulting, advisory services, integration into commercial platforms, monetized training, certification, or system-level deployment—is not permitted under this license and requires a separate written agreement. Full license text:https://creativecommons.org/licenses/by-nc/4.0/ For licensing, partnerships, translations, or applied development inquiries:research@kognetik.dehttps://www.kognetik.de ORCID: https://orcid.org/0009-0000-8544-4847 Kognetik Series Information KOGNETIK — Minimal Operator Definition of Reflexivity (Ψ = ∂S/∂R) Reflexivity as structural rate-of-change:Ψ = ∂S/∂R measures structural drift under recurrence. Process, not state:Reflexivity specifies a transformation rule rather than a content or level. Domain-independent operator:Applicable across biological, cognitive, artificial, social, industrial, and geophysical systems. Non-ascriptive and empirically testable:Ψ enables comparative analysis of systems via observable structure and recurrence. Higher-order phenomena as specifications:Learning, adaptation, consciousness, governance, and identity are structured regimes of Ψ.