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ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY NC ND
Data sources: Datacite
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Collapse Index (CI): A Domain-Agnostic Mathematical Framework for Interpreting Stellar Instability and Supernova Collapse

Authors: Kwon, Alex;

Collapse Index (CI): A Domain-Agnostic Mathematical Framework for Interpreting Stellar Instability and Supernova Collapse

Abstract

This preprint introduces Collapse Index (CI): A Domain-Agnostic Mathematical Framework for Interpreting Stellar Instability and Supernova Collapse. The work demonstrates that the Collapse Index (CI), a bounded, lightweight instability metric originally developed for AI brittleness analysis, can quantify collapse structure across a synthetic Type II supernova lifecycle. Using a 600,000-row synthetic dataset generated with CI’s domain-agnostic perturbation engine, the study evaluates six canonical phases of stellar evolution: hydrostatic equilibrium, late-stage instability accumulation, catastrophic core collapse, shock rebound turbulence, plateau stabilization, and remnant cooling. CI successfully recovers the characteristic collapse arc (baseline → drift → critical spike → rebound → plateau → new equilibrium) without astrophysical tuning or domain-specific modeling. The framework is presented as a non-operational, conceptual tool for retrospective analysis only. CI is not a physical model and provides no predictive, detection, or early-warning capability. All astrophysical interpretation must be performed by accredited experts using archived datasets or simulations. Project page: https://collapseindex.org Licensed under CC BY-NC-ND 4.0.

Keywords

recursive instability, reproducible evaluation, collapse index, astrophysics, complex systems collapse, dynamical systems, substrate-independent dynamics, high-energy astrophysical phenomena, bounded metric, supernova collapse, nonlinear dynamics, machine learning, core-collapse supernova, scenario generator, AI brittleness, collapse dynamics, time-series analysis, equilibrium drift, instability metric, stellar instability, synthetic dataset, data modeling

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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
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