2026/03/05 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18873732
openalex publication_date 2026/03/05 · openalex created_date 2026/03/06 · openalex updated_date 2026/07/15
This research addendum introduces a dynamical systems formulation of the Meta-Model of Singularization (V3.0) and extends the Compression–Resonance–Tension Index (CRTI) and the Mallinckrodt Cycle with a minimal nonlinear model. The central hypothesis of the framework is that complex adaptive systems often fail not because of insufficient order, but due to absolutized structural order (compression) that suppresses environmental feedback. When environmental resonance declines under increasing compression, systems may generate endogenous conflict dynamics that temporarily compensate for the loss of external signals. This mechanism produces a metastable regime referred to as the False Plateau, in which the adaptive tension index T = (Re + Rc) / Phi appears stable despite a progressive decoupling of the system from its environment. The proposed dynamical model introduces four interacting state variables: structural compression (Phi), environmental resonance (Re), conflict-based resonance (Rc), and strategic reserves (S). During the False Plateau phase, Rc increases as Re declines, creating the illusion of systemic vitality while strategic reserves are gradually depleted. Once reserves fall below a critical threshold, the system loses the capacity to maintain structural compression, resulting in a nonlinear regime shift and rapid systemic collapse. The model therefore interprets singularization as an energetic debt process, where temporary stability is financed by the consumption of internal reserves. By formalizing these mechanisms within a dynamical systems framework, the paper provides a quantitative perspective on late-stage fragility in highly optimized socio-technical and organizational systems. Keywords (für Zenodo) complex adaptive systems; systemic risk; nonlinear dynamics; critical transitions; systemic collapse; resilience; singularization; CRTI; Mallinckrodt Cycle; organizational fragility