Neutrino Ladder and Mixing Geometry: Derivation of Masses from Geometric Phase Suppression
Abstract
We extend the Operator-Derived Dimension (ODD) framework to the neutrino sector. Unlike charged fermions which occupy low-phase ladder rungs (n < 10), neutrinos are identified as deep-ladder modes (n ≈ 18) that lack gauge couplings.By applying the universal ODD mass formula m = Manchore−nπ/2 to these high-phase states, we naturally reproduce the observed milli-eV neutrino mass scale from the electroweak anchor (173 GeV) without fine-tuning. We further show that the PMNS mixing matrix arises from the geometric overlap of these adjacent ladder states.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Neutrino Physics Research
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 15 February 2026
- Language
- EN
- Document type
- Preprint