Article

Nonlinear Boundary Degeneracy and the Limits of Scalar Diagnostics

2026-03-16

Abstract excerpt

<title>Abstract</title> <p>Scalar order parameters are widely used to describe critical transitions in nonlinear systems, yet their structural validity is rarely stated explicitly. This paper identifies a sharp obstruction to scalar diagnostics that arises when regime boundaries are generated by interacting degeneracies. We show that if the reduced boundary ideal is non-principal, then the boundary-induced compar...

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Literature Corpus work: 1b817230-738a-514b-a8e8-247b3f69d14f
DOI: 10.21203/rs.3.rs-9114370/v1

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