Out-of-Domain Stress Test for Temporal Braid Group Privilege Escalation Detection

TL;DR

This paper demonstrates that a mathematical measure used in a companion study can be applied to astrophysical data, validating its broader utility beyond cloud security contexts.

Contribution

It extends the application of the Burau-Lyapunov exponent to solar magnetic fields, showing its effectiveness in a completely different physical system.

Findings

The exponent discriminates eruptive from confined solar magnetic fields.

The pipeline works without parameter tuning on astrophysical data.

Supports the general applicability of the mathematical measure.

Abstract

In a companion paper, we prove that the Burau-Lyapunov exponent LE discriminates focused from dispersed privilege escalation ratchets in cloud IAM graphs, and that no abelian statistic can replicate this discrimination. To strengthen this claim beyond its synthetic validation corpus, we apply the identical pipeline, with zero parameter retuning, to solar coronal magnetic fields: a physical system with no connection to cloud identity and access management, whose binary eruptive/confined outcome is independently established by decades of astrophysical observation.