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February 14, 2026Open Access

Spectral Isomorphism between Renormalization Flow in Non-Autonomous Quadratic Maps and Riemann Zeros

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Authors

LWliang wang

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Overview

This work demonstrates a dynamic model correlating Riemann zeros with a non-autonomous system, implying a new path for quantum chaos analysis.

Key Points

  • The aim is to identify a deterministic dynamic operator that captures the Riemann zeta function's global behavior.
  • Developed a model using a Non-autonomous Logistic Map
  • Applied a renormalization flow to adjust control parameters
  • Utilized massive parallel computation to generate eigenmodes
  • Conducted phase unwrapping analysis to study dynamic system behavior
  • Found a linear isomorphism between the cumulative phase of the dynamic system and Riemann zeros
  • Achieved a correlation coefficient of R^2 > 0.997
  • Identified a linear scaling deviation of approximately 4%
  • Uncovered coherent fluctuations suggesting high-order perturbative terms in the Hamiltonian

Cite This Study

liang wang (2026) studied this question.

synapsesocial.com/papers/699011602ccff479cfe580b0https://doi.org/10.5281/zenodo.18618087
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