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The research explores why the Rosenzweig–Porter model appears in classical systems of freely vibrating plates and proposes a testable hypothesis.

July 13, 2026Open Access

Why Rosenzweig–Porter? Evanescent Coupling and a Random Matrix Hypothesis for Intermediate Statistics in Freely Vibrating Plates

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The research explores why the Rosenzweig–Porter model appears in classical systems of freely vibrating plates and proposes a testable hypothesis.
Proposed a random matrix model incorporating evanescent-wave coupling for free boundary conditions.
Identified eight testable predictions related to the model.
Provided a measurement protocol and error-budget for experiments.
Established specific calculations needed to verify the hypothesis.
Predicted eigenvector fractal dimension D2 = 0.76 ± 0.15 as a falsifiable value.
Demonstrated full disk zero-coupling as a Poisson control for further comparisons.

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Random matrix theory explains spectral statistics in freely vibrating plates, suggesting new predictions and tests.

J. Arturo Ornelas Brand (2026) studied this question.

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