Singularization Framework: Structural Compression, Resonance Collapse, and Adaptive Capacity in Complex Systems

2026/03/16 by Bernd von Mallinckrodt · 1 voice
Computer Science · Environmental Science · Physics and Astronomy · #Chaos, Complexity, and Education #Complex Systems and Dynamics #Ecosystem dynamics and resilience

paper · doi:10.5281/zenodo.19046970

openalex publication_date 2026/03/16 · openalex created_date 2026/03/17 · openalex updated_date 2026/07/01

Abstract

This paper introduces the Singularization Framework, a conceptual model proposing that collapse in complex adaptive systems is driven primarily by endogenous structural compression and the progressive loss of adaptive resonance, rather than by external shocks alone. The framework presents four core contributions: (1) Structural Compression — defined as the progressive reduction of a system's navigable configuration space through accumulating institutional and structural constraints. (2) Adaptive Resonance — the system's capacity to maintain oscillatory adaptability across its configuration space, distinct from resilience as a reactive measure. (3) The Mallinckrodt Cycle — a five-phase lifecycle model (Expansion, Integration, Compression, Brittleness, Collapse/Singularization) extending Holling's adaptive cycle by disaggregating the conservation phase into diagnostically distinct sub-phases. (4) The Compression–Resonance–Tension Index (CRTI) — a three-dimensional early-warning diagnostic targeting Phase III (Compression), prior to the bifurcation point detected by existing indicators. The framework is positioned against Holling's Panarchy, Scheffer's critical transitions theory, Taleb's antifragility, Kauffman's NK models, Truong et al.'s entropy collapse (arXiv:2512.12381), and Gosme's sociotechnical phase transition model (arXiv:2512.09352). Version 2 — Full conceptual paper. Version 1 (positioning paper): 10.5281/zenodo.19046702 complex adaptive systemsstructural compressionadaptive resonanceresonance collapsesingularizationMallinckrodt CycleCRTIcollapse dynamicsconfiguration spacetipping pointsearly warning signalsresilience theorypanarchycritical transitionsentropy collapsephase transitionbrittlenessantifragilityNK modelscomplexity science

Discussions

• If collapse in complex systems is not primarily caused by external shocks but by structural compression and the loss of adaptive resonance, then most current risk models may be looking in the wrong pl [bsky, 3 points, 0 comments]

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