2026/03/11 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18952951
openalex publication_date 2026/03/11 · openalex created_date 2026/03/12 · openalex updated_date 2026/07/01
This paper introduces the Singularization Curve as a conceptual stability framework for analyzing the behavior of complex adaptive systems (CAS) under conditions of increasing structural compression and systemic tension. The work formalizes the Compression–Resonance–Tension Index (CRTI) as a macroscopic diagnostic indicator describing the relationship between three core system variables: Resonance (R) – adaptive diversity, openness, and systemic responsiveness Compression (C) – structural densification through hierarchy, standardization, and coordination mechanisms Tension (T) – internal and external stress acting on the system The resulting stability relation CRTI = (R)/(C + T) captures the balance between adaptive capacity and structural constraint. The paper proposes that systemic fragility in complex systems does not primarily emerge from a lack of order, but from over-compression, where increasing structural coordination gradually suppresses adaptive resonance. When compression and tension exceed the buffering capacity of resonance, systems enter a regime of singularization, characterized by declining adaptability and increasing collapse risk. To explore this dynamic, the paper introduces: a coupled dynamical system describing the interaction of resonance, compression, and tension the Singularization Curve, illustrating the transition from adaptive stability to structural overcompression a critical compression threshold and bifurcation interpretation a conceptual stability map applicable to multiple domains Illustrative reconstructions of digital platforms demonstrate how different governance architectures may follow distinct trajectories within the resonance–compression phase space. The framework is intentionally heuristic and cross-domain. Rather than providing a fully calibrated empirical model, it establishes a cybernetic language for diagnosing systemic fragility across domains such as digital platforms, organizations, financial systems, governance structures, and ecological networks. The CRTI framework therefore serves as a conceptual bridge between cybernetics, complexity theory, and network science, offering a systematic perspective on how optimization, centralization, and regulation may unintentionally push complex systems toward structural fragility. Keywords Für Zenodo empfehle ich 8–12 Keywords. Keywords Compression–Resonance–Tension Index CRTI Framework Complex Adaptive Systems Cybernetics Systemic Fragility Singularization Hypothesis Nonlinear Dynamics Resilience Theory Network Dynamics System Stability Complexity Science Digital Platform Dynamics