What question did this study set out to answer?

The aim is to reinterpret instability in phase systems, positioning it as a product of coherence constraints rather than dynamic effects.

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April 27, 2026Open Access

Coherence Constraints and the Structural Nature of Instability in Phase Systems

Key Points

The aim is to reinterpret instability in phase systems, positioning it as a product of coherence constraints rather than dynamic effects.
Reanalyzed prior results on spectral-edge rigidity.
Developed a framework distinguishing between observable quantities and governing conditions.
Introduced a structural perspective on stability relating to phase alignment.
Instability is identified as a coherence constraint rather than a dynamic effect.
Differentiated between observable quantities and governing conditions affecting phase systems.
Support for a higher-level perspective that enhances understanding of stability mechanisms.

Abstract

This work proposes a structural reinterpretation of instability in phase systems. Building on previous results on spectral-edge rigidity, instability is reframed as the manifestation of a coherence constraint rather than a dynamically generated effect. The framework distinguishes between observable quantities (such as oscillatory phase sums) and governing conditions (coherence), suggesting that stability depends on the existence of admissible phase alignment. This work complements prior technical results and introduces a higher-level structural perspective. Related to previous work on spectral-edge rigidity: https://doi.org/10.5281/zenodo.19729058

Coherence Constraints and the Structural Nature of Instability in Phase Systems

Key Points

Abstract

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