Structural Integrity (D9) as a Scale-Invariant Organizational Principle: Empirical Evidence from 9 Domains and Implications for Systems Research

This paper presents the formalization and empirical validation of Structural Integrity (D9), a universal attractor-based principle identified within the Fractal System Model (FSM) framework. Through a transdisciplinary pattern-mining synthesis of 23 independent studies (1980–2025) across 9 domains—including plasma physics, genomic adaptation, network science, and social resilience—this research identifies a consistent, scale-invariant adaptation pattern. When system metrics are normalized, a convergent 7.8–8.3% acceleration in adaptive processes is observed, pointing to a fundamental organizational mechanism defined by the attractor constant k=0.15. Key highlights of this version (v12): Mathematical Formalization: Definition of the D9 metric as a function of coherence and structural redundancy. Universal Scaling: Evidence of a convergent adaptation rate across disparate biological, physical, and technical systems. Operational Utility: Implications for AI Safety, AGI alignment, and the management of "unmanageable" emergence in complex environments. Open Science Contribution: Part of the Wardemann Protocol for Fourth-Order Cybernetics and Human-AI Co-creation. This study serves as the empirical backbone for the LoopGuard algorithm and the State Function S(t), providing a quantitative basis for systemic stewardship in the age of advanced artificial intelligence.