2026/02/24 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18762353
openalex publication_date 2026/02/24 · openalex created_date 2026/02/25 · openalex updated_date 2026/07/01
This document provides the consolidated entry architecture for the Mallinckrodt Framework (Version 3.0, 2026). The framework defines a formal diagnostic model for analyzing adaptive capacity and structural rigidity in open adaptive systems. It integrates information-theoretic efficiency measures with structural dimensionality reduction to construct a bounded state variable for systemic stability assessment. The core quantities are: Resonance (R): normalized mutual information between coupled system layers Structural Compression (Φ): reduction of effective system dimensionality Adaptive Capacity Index (T): bounded joint measure of resonance and effective variance The document includes: Conceptual architecture and scope definition Formal mathematical definitions and boundedness proofs Order parameter interpretation Empirical validation protocol with reproducibility checklist Explicit boundary conditions excluding closed mechanical synchronization The framework is applicable exclusively to open adaptive systems with measurable environmental coupling. It does not model closed equilibrium systems. This publication serves as a structured entry point for the 2026 Mallinckrodt publication series and provides a citable reference for subsequent applied and theoretical extensions. Version: 3.0 (Consolidated) Date: February 2026 Complex Adaptive Systems Information Theory Mutual Information Effective Dimensionality Phase Transition Dynamics Early Warning Signals Structural Rigidity Systemic Risk Analysis Nonlinear Systems Resilience Modeling