Detecting complexity collapse in chaotic systems

Read full text
Authors: Hemanth kumar Jagdev
Cited by: 0

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.

Fields of Study & Subjects

Statistical Mechanics and Entropy Theoretical and Computational Physics Complex Systems and Time Series Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
2 January 2026
Language
EN