G₃ - Drift Claim without Defined Recurrence - Judgment on Structural Drift Assertions Absent a Recurrence Operator

This paper defines the boundary case in which decisions assert structural drift, change, or adaptation without declaring a recurrence operator under which such claims can be evaluated. Within the Ψ framework, structural change is meaningful only relative to recurrence. The paper demonstrates that drift claims lacking an explicit recurrence definition are formally undefined and therefore inadmissible. The judgment isolates this error as a formal, not empirical, violation and establishes recurrence declaration as a prerequisite for any claim of structural change. --- 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.