Detecting complexity collapse in chaotic systems

Standard predictive models often fail to detect catastrophic phase transitions in non-linear systems because they focus on amplitude (magnitude of error) rather than dynamics (structure of information). We present the Jagdev Z-Constraint Framework, a 5-dimensional complexity analysis tool that detects the "Critical Slowing Down" preceding system failure. We demonstrate the universality of this framework across three scales of reality: * Cardiology: Predicting Sudden Cardiac Death via precursors in electromechanical coupling. * Materials: Detecting micro-fractures in rotating machinery before vibration amplitudes spike. * Nuclear Fusion: Identifying plasma disruptions in Tokamak simulations via entropy locking. Our results confirm a universal law: System health is characterized by High-Dimensional Chaos, while failure is characterized by a collapse into Low-Dimensional Order.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-02
DOI
https://doi.org/10.5281/zenodo.18124946
Primary Topic
Statistical Mechanics and Entropy
Type
article
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article

Detecting complexity collapse in chaotic systems

Hemanth kumar Jagdev
Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
article

Detecting complexity collapse in chaotic systems

Hemanth kumar Jagdev
article en

Abstract

Standard predictive models often fail to detect catastrophic phase transitions in non-linear systems because they focus on amplitude (magnitude of error) rather than dynamics (structure of information). We present the Jagdev Z-Constraint Framework, a 5-dimensional complexity analysis tool that detects the "Critical Slowing Down" preceding system failure. We demonstrate the universality of this framework across three scales of reality: * Cardiology: Predicting Sudden Cardiac Death via precursors in electromechanical coupling. * Materials: Detecting micro-fractures in rotating machinery before vibration amplitudes spike. * Nuclear Fusion: Identifying plasma disruptions in Tokamak simulations via entropy locking. Our results confirm a universal law: System health is characterized by High-Dimensional Chaos, while failure is characterized by a collapse into Low-Dimensional Order.

Zenodo (CERN European Organization for Nuclear Research)
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Statistical Mechanics and Entropy
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