Invariant random matrix ensembles possess direct physical interpretations in quantum chaos and disordered systems
Invariant random matrix ensembles are widely established in physics to model spectral fluctuations and universality in quantum chaos and disordered systems.
The retrieved papers provide robust theoretical and review-based evidence demonstrating that invariant random matrix ensembles describe level statistics, spectral properties, and critical behavior in quantum chaos and disordered physical systems.
Zakrzewski J. Quantum Chaos and Level Dynamics.. 2023. https://doi.org/10.3390/e25030491
Paper [4] reviews the application of level dynamics to quantally chaotic systems, illustrating physical interpretations of random matrix universality.
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Jiricek S, Hopjan M, Kravtsov V, Altshuler B, Vidmar L. Universal relation between spectral and wavefunction properties at criticality.. 2026. https://doi.org/10.1073/pnas.2518027123
Paper [5] connects spectral statistics of random banded matrices and Anderson models to quantum chaos, linking spectral properties to physical wavefunction delocalization.
Setiawan S. Primacohedron: A p-Adic String & Random-Matrix Framework for Emergent Spacetime, and a Proposal towards solving Riemann Hypothesis. 2025. https://doi.org/10.20944/preprints202511.1726.v1
Paper [9] links Gaussian Unitary Ensemble random matrix statistics and p-adic string resonances to physical emergent spacetime frameworks and arithmetic quantum chaos.
Setiawan S. Primacohedron: A p-Adic String and Random-Matrix Framework for Emergent Spacetime. 2025. https://doi.org/10.20944/preprints202510.2090.v1
Paper [11] utilizes random-matrix frameworks alongside p-adic strings to model physical spacetime emergence and quantum chaos phenomena.
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