Neutrino KATRIN Prediction

We report that the ratio of the third to second neutrino mass eigenvalues, derived from oscillation data, satisfies m3/m2 = φ(φ+2) to within 0.08%, where φ = (1+√5)/2 is the golden ratio. The exponent φ+2 = φ2+1 is precisely the fundamental golden ratio identity. This relation, combined with m2/m1 = φφ, predicts absolute neutrino masses: m1 = 3.98 meV, m2 = 8.68 meV, m3 = 49.49 meV, giving Σmi = 62.2 meV (consistent with cosmological bounds) and mβ = 9.33 meV. These predictions are derived from zero free parameters within the Generative Quasiperiodic Framework (GQG) and are published prior to the final KATRIN measurement. Falsification criterion: m3/m2 ≠ φ(φ+2) beyond 10%.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-11
DOI
https://doi.org/10.5281/zenodo.18959703
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
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article

Neutrino KATRIN Prediction

Maxime Simeon Rerich
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Neutrino KATRIN Prediction

Maxime Simeon Rerich
article en

Abstract

We report that the ratio of the third to second neutrino mass eigenvalues, derived from oscillation data, satisfies m3/m2 = φ(φ+2) to within 0.08%, where φ = (1+√5)/2 is the golden ratio. The exponent φ+2 = φ2+1 is precisely the fundamental golden ratio identity. This relation, combined with m2/m1 = φφ, predicts absolute neutrino masses: m1 = 3.98 meV, m2 = 8.68 meV, m3 = 49.49 meV, giving Σmi = 62.2 meV (consistent with cosmological bounds) and mβ = 9.33 meV. These predictions are derived from zero free parameters within the Generative Quasiperiodic Framework (GQG) and are published prior to the final KATRIN measurement. Falsification criterion: m3/m2 ≠ φ(φ+2) beyond 10%.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 26%
Advanced Mathematical Theories and Applications
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