A Pole-Subtracted Limiting Absorption Principle for Clusters of High-Contrast Elastic Subwavelength Resonators

What the math gives to ML

The paper's transferable asset is an exact reduction of near-singular dynamics to a small effective matrix with a uniformly bounded remainder. Its radiation matrix is low-rank even when the resonant state space is large, separating strongly damped bright directions from weakly damped dark directions. This suggests a structured recurrent or state-space layer with full-dimensional restoring forces but factored damping, providing long memory without sacrificing control over unstable observable modes. The construction is sufficiently explicit for a direct stability and long-context experiment.