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A Universal Three-Regime Instability Operator Across Complex Systems: EEG Seizure Precursors and Tokamak Plasma Transitions as Independent Testbeds (Helix–Light–Vortex / Spiral-Time Meta Framework)

Authors: Krüger, Marcel;

A Universal Three-Regime Instability Operator Across Complex Systems: EEG Seizure Precursors and Tokamak Plasma Transitions as Independent Testbeds (Helix–Light–Vortex / Spiral-Time Meta Framework)

Abstract

We formulate and apply a machine- and domain-independent instability operator ∆Φ designed to detect transitions between three generic dynamical regimes: (i) a stable baseline regime (isostasis), (ii) an adaptive metastable regime (allostasis / instability), and (iii) a critical collapse regime. The operator is constructed as a weighted aggregation of deviations along three independent axes: structural (S), informational (I), and coherence-related (C), with α+β+γ=1. We first summarize an independent, fully reproducible EEG validation on public PhysioNet data (including CHB–MIT Scalp EEG), where elevated ∆Φ excursions precede seizure onset and yield strong predictive performance in a windowed pipeline. We then show that the same operator admits a natural instantiation in magnetically confined tokamak plasmas (JET / DIII-D / ASDEX Upgrade) using standard diagnostics, and we provide operational mapping tables and expected ∆Φ(t) families for L–H transitions, ELM-like bursts, and major disruptions. Crucially, the operator definition is kept fixed across domains and is not retrained or reparameterized, enabling direct falsification through archival tests. This positions ∆Φ as a universal instability indicator for open, non-equilibrium systems rather than a domain-specific classifier.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green