2026/03/02 by Bernd von Mallinckrodt · 1 voice
paper · doi:10.5281/zenodo.18834479
openalex publication_date 2026/03/02 · openalex created_date 2026/03/03 · openalex updated_date 2026/07/01
Description CRTI 2.6 (Compression–Resilience Tension Index 2.6) introduces a formally decoupled and empirically operationalizable measurement protocol for analyzing rigidity–permeability dynamics in bounded adaptive systems. The model defines systemic tension as: Ti = (Ri)/(Φi + ε) where: R (Rigidity) represents constraint accumulation and structural closure, Φ (Permeability) represents integrative processing capacity and adaptive option generation, ε ensures numerical stability near Φ → 0. Unlike earlier conceptual formulations, CRTI 2.6 strictly derives all variables from externally observable interaction events (e.g., documented communications, formal escalation markers, structural constraints). The protocol explicitly separates subjective interpretation from measurement and introduces falsification criteria, robustness testing, and phase-transition diagnostics. Theoretical Background CRTI is situated within systems theory, cybernetics, and complexity science. It formalizes the rigidity–permeability trade-off observed in adaptive systems under compression stress. The framework is compatible with: Ashby’s Law of Requisite Variety Exploration–Exploitation trade-offs (March, 1991) Structural coupling and autopoietic systems (Luhmann) Phase-transition diagnostics in nonlinear dynamics CRTI does not assume collapse or dysfunction. Instead, it measures the relative balance between constraint density and integrative flexibility within a defined interaction domain. Evolution of the Framework CRTI 2.0 Introduced the scalar ratio formulation of rigidity versus permeability as a structural tension indicator. CRTI 2.1 Integrated bias-correction and information-theoretic considerations to stabilize measurement across heterogeneous datasets. CRTI 2.2 Extended the model into an anisotropic/matrix formulation to allow directional stability analysis across multiple structural pillars. CRTI 2.5 Refined nonlinear transition logic and incorporated slow–fast adaptive system interpretations. CRTI 2.6 (Current Version) Establishes a fully decoupled empirical protocol: Proxy-based operationalization of R and Φ Standardization and robustness testing procedures Discontinuity, hysteresis, and critical slowing down diagnostics Explicit falsifiability criteria Leave-one-out and noise sensitivity validation This version marks the transition from conceptual diagnostic tool to empirically testable micro-case framework. Methodological Contribution CRTI 2.6 contributes: A reproducible event-based coding protocol A composite rigidity index (constraint density, escalation, option suppression, formalization) A composite permeability index (content responsiveness, semantic novelty, option generation, integrative questioning, latency–depth coupling) A normalized tension trajectory suitable for time-series inspection A phase-classification cascade (semantic compression → responsibility decoupling → resonance muting) grounded in observable proxies The protocol is domain-agnostic and applicable to: Organizational dynamics Governance processes Institutional communication systems Negotiation sequences Regulatory interactions Micro-scale adaptive conflicts Falsification Criteria CRTI 2.6 is considered weakened if: Tension peaks occur without measurable constraint escalation Rigidity increases without observable reduction in integrative processing Outcomes show no correlation with measured tension dynamics This ensures methodological rigor and guards against post-hoc interpretive bias. Intended Use This release is intended for: Open Science dissemination Micro-case research design Applied systems diagnostics Empirical validation studies Cross-scale mechanism comparison CRTI 2.6 serves as a measurement protocol, not a normative framework. 🏷 15 Optimized Keywords (Zenodo + Google Scholar) Complex Adaptive Systems Systems Theory Cybernetics Rigidity–Permeability Trade-off Structural Compression Phase Transition Diagnostics Nonlinear Dynamics Micro-Case Analysis Organizational Dynamics Adaptive Governance Constraint Accumulation Information Processing Capacity Autopoiesis Exploration–Exploitation Balance Falsifiable System Metrics