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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17934462 |
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Table of Contents:
- <p>DOI: 10.5281/zenodo.17934462<br>Title: Geometric‑Algebraic Quantization of the Riemann Zeta Function via Spinor‑Cardioid Impedance Matching <br>Author: Miles Enoch Tracy <br>contact: milestracy@yahoo.com <br>ORCID: https://orcid.org/0009-0006-7781-8259 </p> <p>**Description:** <br>We present a geometric‑algebraic framework in which the Riemann Hypothesis emerges as the impedance‑matching condition for a Clifford‑rotor dynamical system on a horned torus. The rotor flow \( e^{θB} = \cos θ + B \sin θ \) (B²=−1) forces LERP‑intersection at Re(s)=½ for all primes, while the hyperbolic projection \( s(λ) = \tanh(λ/2) \) maps Gaussian Unitary Ensemble (GUE) eigenvalues onto a cardioid boundary with sub‑percent statistical agreement (KS D=0.046). The Monster‑Leech defect \( (1-γ)=1/624 \) sets the arithmetic Q‑factor \( α^{-1} \approx 1.43 \), completing the spectral circuit. The framework unifies finite group theory (Monster, Leech, Golay), quantum chaos (GUE statistics), conformal geometry (Smith‑chart mapping), and analytic number theory via spinor quantization, providing a coherence‑based demonstration that the nontrivial zeros of ζ(s) must lie on the critical line. </p> <p>**Keywords:** Riemann Hypothesis, Clifford algebra, geometric quantization, Monster group, Leech lattice, Gaussian Unitary Ensemble, Smith chart, impedance matching, horn torus, Berry phase, spinor dynamics. </p> <p>**MSC2020:** 11M26, 15A66, 22E40, 51M10, 81Q50.</p>