What question did this study set out to answer?

This research aims to explore the emergence of Gaussian Unitary Ensemble (GUE) statistics from quantum-inspired Hamiltonians and their relation to spectral stability.

April 25, 2026Open Access

Spectral Determinants, RG Flow, and GUE Universality (Physics Version)

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Authors

OGOleg Glushkov

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Implication

Randomized trial investigates spectral stability in quantum systems, indicating connections to the Riemann Hypothesis.

Key Points

This research aims to explore the emergence of Gaussian Unitary Ensemble (GUE) statistics from quantum-inspired Hamiltonians and their relation to spectral stability.
Utilized trace formulas to analyze spectral correlations
Applied renormalization group (RG) techniques to study fixed points
Reformulated the Riemann Hypothesis using spectral stability conditions
Demonstrated that GUE statistics are a unique stable fixed point of spectral correlation functions
Showed a connection between spectral stability and the Riemann Hypothesis through Fredholm determinants

Cite This Study

Oleg Glushkov (2026) studied this question.

synapsesocial.com/papers/69ec5b3d88ba6daa22dacda4 https://doi.org/10.5281/zenodo.19707908

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Spectral Determinants, RG Flow, and GUE Universality (Physics Version)

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Implication

Key Points

Cite This Study

Spectral Determinants, RG Flow, and GUE Universality (Physics Version)

Discussion

Member takes

Implication

Key Points

Cite This Study

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