A Regime Audit of General Relativity under the Ψ-Gate - Defining (R) Recurrence and (S) Structure, Declaring Validity Regimes, and Preventing Semantic Overflow

This paper presents a KOGNETIK regime audit of General Relativity (GR) as a precedent case for post-law scientific admissibility under recurrence. The audit introduces no new physics and does not attempt to improve, reinterpret, or replace GR. Instead, it formalizes the structural conditions under which claims made using GR remain admissible when the theory is repeatedly applied across time, contexts, and discursive environments. The paper explicitly defines (i) an admissibility model for GR claims, (ii) a structure object SGR as an equivalence class of generative rule objects under declared invariances, (iii) a recurrence operator RGR as repeatable application of fixed operational test protocols, and (iv) a Rule–State Separation (RSSA) gate distinguishing state-claims from rule-claims. Based on these declarations, the paper derives a regime map separating licensed use, declared approximation, formal undefinedness, and inadmissible semantic overflow. The contribution is disciplinary rather than physical. The audit establishes a reproducible procedure for preventing outcome success, approximation behavior, or rhetorical interpretation from silently redefining theory scope under long-horizon reuse. General Relativity is used as a canonical stress test, but the resulting GR-Gate Procedure is theory-agnostic and transferable to any scientific framework reused under recurrence. This work does not claim new truths about the universe. It restores structural discipline to how scientific claims are bounded, classified, and extended. --- Intellectual Property & ContactKOGNETIK is a trademark of Serkan Elbasan (Germany). The KOGNETIK Research Series is released under the Creative Commons Attribution 4. 0 International License (CC BY 4. 0). All scientific works within the series are open for citation and derivative research under proper attribution. For partnerships, translations, or applied development inquiries: ✉️ research@kognetik. de · 🌐 https: //www. kognetik. de 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 is a transformation rule, not a content or level. Domain-independent operator: Valid across biological, cognitive, artificial, social, industrial, and geophysical systems. Non-ascriptive, empirically testable: Ψ compares systems by observable structure and recurrence. Higher-order phenomena as specifications: Learning, adaptation, consciousness, governance, and identity are structured regimes of Ψ.