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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18885918 |
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Table of Contents:
- <p>This research note introduces the Compression–Resonance–Tension Index (CRTI) as a diagnostic framework for analyzing stability and fragility in complex adaptive systems (CAS).</p> <p> </p> <p>Traditional interpretations of systemic collapse often attribute failure to rising entropy or disorder. In contrast, the Meta-Model of Singularization (V3.0) proposed here suggests that collapse may arise from structural over-order: a progressive compression of internal degrees of freedom that suppresses adaptive resonance with the environment.</p> <p> </p> <p>To formalize this mechanism, the study defines a dimensionless instability parameter:</p> <p> </p> <p>Psi = (C × DeltaF) / (R × E_ref)</p> <p> </p> <p>where</p> <p>C represents structural compression,</p> <p>R the adaptive resonance or relaxation capacity,</p> <p>DeltaF the accumulated system tension or stored free energy,</p> <p>and E_ref a reference energy scale.</p> <p> </p> <p>The framework interprets systemic collapse as the erosion of adaptive capacity within a nonlinear dynamical system. A minimal numerical simulation illustrates how increasing compression leads to resonance decay, tension accumulation, and eventual divergence of the instability parameter Psi. This behavior corresponds to phenomena known in complexity science, including critical slowing down, saddle-node bifurcations, and robust-yet-fragile dynamics.</p> <p> </p> <p>While the present model is conceptual and not yet empirically calibrated, it provides a mathematical lens for exploring how optimization pressure can transform apparently stable systems into fragile structures prone to abrupt collapse. Potential application domains include socio-technical networks, supply chains, ecological systems, and organizational dynamics.</p> <p> </p> <p> </p> <p> </p> <p> </p> <p>Keywords (optimiert für Scholar)</p> <p> </p> <p> </p> <p>Complex Adaptive Systems</p> <p>Singularization</p> <p>Compression Resonance Tension Index</p> <p>CRTI</p> <p>Nonlinear Dynamics</p> <p>Critical Transitions</p> <p>Robust Yet Fragile</p> <p>Systems Stability</p> <p>Systemic Risk</p> <p>Cybernetics</p> <p>Complex Systems Theory</p> <p>Adaptive Systems</p> <p>Tipping Points</p> <p>Resilience Dynamics</p> <p>Bifurcation Theory</p> <p>Critical Slowing Down</p> <p>Systems Modeling</p> <p>Socio-Technical Systems</p> <p>Network Fragility</p> <p>Dynamical Systems</p>