2026/03/05 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18875379
openalex publication_date 2026/03/05 · openalex created_date 2026/03/06 · openalex updated_date 2026/07/01
This research monograph introduces the Singularization Framework, a theoretical model for diagnosing structural fragility in complex adaptive systems (CAS). While traditional explanations of systemic collapse often emphasize external shocks, entropy growth, or chaotic dynamics, this framework proposes an alternative hypothesis: many systems fail due to structural over-compression, a condition in which optimization processes progressively reduce diversity, decentralization, and feedback permeability. Within this perspective, systemic collapse emerges from a process described here as singularization. Singularization refers to the concentration of decision authority, information flows, and resource allocation into increasingly narrow structures. Although this concentration may initially increase efficiency, it simultaneously reduces adaptive capacity and resilience. The framework integrates three conceptual components. First, the Mallinckrodt Cycle models the lifecycle of complex systems as an oscillation between phases of expansion, optimization, structural compression, and eventual collapse. Second, the Compression–Resonance–Tension Index (CRTI) is introduced as a diagnostic metric for systemic fragility: CRTI = (C * T) / (R + epsilon) where C represents structural compression (centralization and loss of diversity), R represents resonance (the ability of the system to integrate feedback from its environment), and T represents accumulated systemic tension. Increasing compression and tension combined with decreasing resonance drive the index toward critical instability. Third, the framework proposes the concept of Strategic Reserve as a design principle for resilient systems. Strategic reserves include structural redundancy, cognitive diversity, and decentralized knowledge networks. Although these features may appear inefficient in stable periods, they act as buffers that preserve adaptive capacity and prevent structural singularization. The Singularization Framework connects ideas from cybernetics, network science, resilience theory, and complexity research. By combining structural network metrics, semantic entropy indicators, and nonlinear time-series signals, the model outlines potential pathways for empirical operationalization across multiple domains, including financial systems, organizations, technological infrastructures, and geopolitical systems. Rather than presenting deterministic predictions, the framework offers a diagnostic perspective for identifying structural fragility before collapse occurs. The monograph is intended as an open theoretical contribution designed to stimulate interdisciplinary discussion and further empirical investigation in the study of complex systems. Keywords (für Zenodo) complex systems complex adaptive systems system fragility cybernetics network science resilience system collapse structural compression CRTI Singularization Framework