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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19071204 |
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| author | von Mallinckrodt, Bernd |
| author_facet | von Mallinckrodt, Bernd |
| contents | <p>This paper introduces the Compression–Resonance Thermodynamic Index (CRTI), a generalized diagnostic instrument for detecting and quantifying structural compression in complex adaptive systems. The central argument inverts the classical entropy paradigm: a significant and analytically distinguishable class of systemic collapse is driven not by disorder (entropy increase) but by excessive structural order — the progressive elimination of adaptive degrees of freedom, functional redundancy, and oscillatory capacity between exploratory and exploitative operational modes.</p> <p>The framework formalizes this process through three core constructs: (1) the Ontology of Oscillation, which defines effective oscillation energy as E = S · S_max², capturing the nonlinear relationship between realized and potential adaptive range; (2) Structural Compression Φ, measuring the reduction of a system's functional degrees of freedom relative to maximum feasible configuration; and (3) Adaptive Reorganization Capacity R, defined as the conditional entropy of reachable system states from the current configuration. CRTI is defined as the ratio R / Φ, with low values indicating approach to singularization — a state of maximal structural compression and minimal effective entropy production.</p> <p>The framework is positioned as a generalization of Ulanowicz's Ascendency–Overhead balance, extended beyond ecological flow networks to all complex adaptive systems. Formal relationships are established with Holling's adaptive cycle (panarchy), Prigogine's dissipative structures, Kauffman's edge-of-chaos hypothesis, Taleb's antifragility, Bar-Yam's multiscale complexity, Rosa's resonance theory, and Luhmann's systems theory. The Mallinckrodt Cycle is introduced as a life-history model providing finer diagnostic resolution within the compression phase of Holling's cycle.</p> <p>A four-state diagnostic cascade (Green / Yellow / Orange / Red) operationalizes the CRTI for applied system monitoring across ecological, organizational, and governance contexts. Three empirical validation pathways are outlined: retrospective analysis of Ecological Network Analysis data, organizational panel data survival analysis, and ensemble simulation via the companion FDT–CRTI framework using Fisher Information Matrix dynamics in stochastic generalized Lotka–Volterra systems.</p> <p>This preprint is part of the Mallinckrodt Framework series (Meta-Model of Singularization, V3.0).<br><br></p> <p>structural compression<br>adaptive capacity<br>CRTI<br>Compression-Resonance Thermodynamic Index<br>Mallinckrodt Cycle<br>singularization<br>complex adaptive systems<br>resilience theory<br>ascendency<br>overhead<br>Ulanowicz<br>panarchy<br>Holling adaptive cycle<br>dissipative structures<br>Prigogine<br>edge of chaos<br>Kauffman<br>antifragility<br>Taleb<br>multiscale complexity<br>Bar-Yam<br>non-equilibrium thermodynamics<br>information theory<br>Fisher information<br>early warning signals<br>systemic collapse<br>organizational resilience<br>ecological resilience<br>exploration exploitation<br>adaptive oscillation</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19071204 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Collapse through Compression: A Thermodynamic Framework for Systemic Instability in Complex Adaptive Systems von Mallinckrodt, Bernd <p>This paper introduces the Compression–Resonance Thermodynamic Index (CRTI), a generalized diagnostic instrument for detecting and quantifying structural compression in complex adaptive systems. The central argument inverts the classical entropy paradigm: a significant and analytically distinguishable class of systemic collapse is driven not by disorder (entropy increase) but by excessive structural order — the progressive elimination of adaptive degrees of freedom, functional redundancy, and oscillatory capacity between exploratory and exploitative operational modes.</p> <p>The framework formalizes this process through three core constructs: (1) the Ontology of Oscillation, which defines effective oscillation energy as E = S · S_max², capturing the nonlinear relationship between realized and potential adaptive range; (2) Structural Compression Φ, measuring the reduction of a system's functional degrees of freedom relative to maximum feasible configuration; and (3) Adaptive Reorganization Capacity R, defined as the conditional entropy of reachable system states from the current configuration. CRTI is defined as the ratio R / Φ, with low values indicating approach to singularization — a state of maximal structural compression and minimal effective entropy production.</p> <p>The framework is positioned as a generalization of Ulanowicz's Ascendency–Overhead balance, extended beyond ecological flow networks to all complex adaptive systems. Formal relationships are established with Holling's adaptive cycle (panarchy), Prigogine's dissipative structures, Kauffman's edge-of-chaos hypothesis, Taleb's antifragility, Bar-Yam's multiscale complexity, Rosa's resonance theory, and Luhmann's systems theory. The Mallinckrodt Cycle is introduced as a life-history model providing finer diagnostic resolution within the compression phase of Holling's cycle.</p> <p>A four-state diagnostic cascade (Green / Yellow / Orange / Red) operationalizes the CRTI for applied system monitoring across ecological, organizational, and governance contexts. Three empirical validation pathways are outlined: retrospective analysis of Ecological Network Analysis data, organizational panel data survival analysis, and ensemble simulation via the companion FDT–CRTI framework using Fisher Information Matrix dynamics in stochastic generalized Lotka–Volterra systems.</p> <p>This preprint is part of the Mallinckrodt Framework series (Meta-Model of Singularization, V3.0).<br><br></p> <p>structural compression<br>adaptive capacity<br>CRTI<br>Compression-Resonance Thermodynamic Index<br>Mallinckrodt Cycle<br>singularization<br>complex adaptive systems<br>resilience theory<br>ascendency<br>overhead<br>Ulanowicz<br>panarchy<br>Holling adaptive cycle<br>dissipative structures<br>Prigogine<br>edge of chaos<br>Kauffman<br>antifragility<br>Taleb<br>multiscale complexity<br>Bar-Yam<br>non-equilibrium thermodynamics<br>information theory<br>Fisher information<br>early warning signals<br>systemic collapse<br>organizational resilience<br>ecological resilience<br>exploration exploitation<br>adaptive oscillation</p> |
| title | Collapse through Compression: A Thermodynamic Framework for Systemic Instability in Complex Adaptive Systems |
| url | https://doi.org/10.5281/zenodo.19071204 |