Limitations, Scope, and Proper Use of the Law of Coherent Organization

This section clarifies the scope, limitations, and responsible interpretation of the Law of Coherent Organization (L_\mathrm{CO}). While the framework provides a rigorous, falsifiable account of why persistent, adaptive systems occupy a bounded oscillatory regime between rigidity and chaos, it is explicitly non-prescriptive. Illustrative examples drawn from biology, cognition, and social systems are intended to demonstrate conceptual generality rather than to propose clinical, technical, or organizational interventions. The Law is theoretically robust within nonlinear dynamical systems theory; however, its empirical application requires careful identification of the relevant global control parameters and appropriate observables in real-world systems, which may be complex, indirect, or context-dependent. Misidentification of these parameters can lead to incorrect diagnosis or overextension of the framework. Finally, the section addresses the counterintuitive implication that increasing complexity, drive, or control beyond the coherent regime degrades function. The Law should therefore be understood primarily as a diagnostic and explanatory principle that identifies conditions for sustained coherence and failure, rather than as an operational manual for system manipulation.