What question did this study set out to answer?

The aim is to present the Structural Coherence Index as a tool to detect coherent organization in complex systems near quantum criticality.

May 21, 2026Open Access

Structural Coherence Beyond Modularity: Residual Dynamics Near Quantum Criticality

Key Points

The aim is to present the Structural Coherence Index as a tool to detect coherent organization in complex systems near quantum criticality.
Developed the Structural Coherence Index (SCI) using graph representations of the two-dimensional Ising model.
Analyzed the effectiveness of SCI in distinguishing coherent structures from randomized fragmented networks.
Combined metrics of modularity, graph density, and component persistence for comprehensive assessment.
Demonstrated that modularity alone may lead to false-positive structural signals in fragmented networks.
SCI effectively identifies coherent critical organization, improving upon traditional methods.

Abstract

This work introduces the Structural Coherence Index (SCI), a new metric designed to distinguish coherent critical organization from stochastic fragmentation in complex systems. Using graph representations of the two-dimensional Ising model near criticality, we demonstrate that modularity alone may generate false-positive structural signals in randomized fragmented networks. SCI combines modularity, graph density, and largest connected component persistence to recover physically coherent structural regimes.

Structural Coherence Beyond Modularity: Residual Dynamics Near Quantum Criticality

Key Points

Abstract

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