Comprehensive Experimental Validation of the PRISM Framework: From Riemann Zeros to Particle Masses

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Authors: T. McNeal
Cited by: 0

Abstract

We present a complete validation protocol for the PRISM framework (Prime Riemann Invariant Spectral Model), comprising 28 independent tests executed on IonQ quantum hardware via qBraid. The PRISM framework posits a direct correspondence between particle masses and the imaginary parts of nontrivial Riemann zeros (tₙ), scaled by geometric factors derived from the Heegner number 163. While phenomenological in origin, this mapping yields predictions of remarkable precision without parameter fitting. Key Results: 21 particle masses predicted with mean error 0.17% Weinberg angle sin²θW derived from Riemann zero ratios with 0.099% accuracy Neutrino mass ratio m₃/m₂ reproduced to 5.9 ppm via inverse formula mν ∝ 1/tₙ Analytical derivation of Landauer coefficient k = D·ln(2)/163 = 102.05 MeV/bit, eliminating one free parameter Zeta Clock discrimination achieving 100% detection at zeros versus 0% at random points Classification: 1 fundamental test (derived constant), 16 genuine predictive tests, 11 illustrative consistency tests, 0 tautological. Combined statistical significance: p < 10⁻³⁰.

Fields of Study & Subjects

Neutrino Physics Research Particle physics theoretical and experimental studies Nuclear physics research studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 January 2026
Language
ENC
Document type
Preprint