Neutrino Mass Ordering as Weakly Projected Closure in ψ₀–OCM

This paper develops a quantitatively testable neutrino-sector reduction within ψ₀–OCM, interpreting neutrino mass ordering, PMNS structure, and weak cosmological transport as correlated expressions of weakly retained closure. Neutrinos are modeled as near-threshold stabilization modes generated by incomplete boundary-mediated redistribution closure, distinct from the compact PDS–1 stabilization associated with charged leptons. The framework derives a structurally preferred normal-ordering spectrum, a low total mass regime near Σmν ≈ 0.061 eV, and leading-order PMNS closure relations linking θ13 suppression, broad θ12/θ23 mixing, and weak-sector overlap geometry. It further develops benchmark predictions, uncertainty propagation, covariance/statistical testing structure, radiative-correction allowances, and explicit falsification criteria. The proposed realization is challenged by robust inverted ordering, a substantially elevated absolute neutrino mass scale, large PMNS residuals incompatible with weak-overlap geometry, strong sterile-sector requirements, or neutrinoless double-beta decay evidence implying a quasi-degenerate or high-scale Majorana spectrum.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-16
DOI
https://doi.org/10.5281/zenodo.20235737
Primary Topic
Neutrino Physics Research
Type
article
Field-Weighted Citation Impact
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article

Neutrino Mass Ordering as Weakly Projected Closure in ψ₀–OCM

John Francis Osborne
Zenodo (CERN European Organization for Nuclear Research)
Neutrino Physics Research
article

Neutrino Mass Ordering as Weakly Projected Closure in ψ₀–OCM

John Francis Osborne
article en

Abstract

This paper develops a quantitatively testable neutrino-sector reduction within ψ₀–OCM, interpreting neutrino mass ordering, PMNS structure, and weak cosmological transport as correlated expressions of weakly retained closure. Neutrinos are modeled as near-threshold stabilization modes generated by incomplete boundary-mediated redistribution closure, distinct from the compact PDS–1 stabilization associated with charged leptons. The framework derives a structurally preferred normal-ordering spectrum, a low total mass regime near Σmν ≈ 0.061 eV, and leading-order PMNS closure relations linking θ13 suppression, broad θ12/θ23 mixing, and weak-sector overlap geometry. It further develops benchmark predictions, uncertainty propagation, covariance/statistical testing structure, radiative-correction allowances, and explicit falsification criteria. The proposed realization is challenged by robust inverted ordering, a substantially elevated absolute neutrino mass scale, large PMNS residuals incompatible with weak-overlap geometry, strong sterile-sector requirements, or neutrinoless double-beta decay evidence implying a quasi-degenerate or high-scale Majorana spectrum.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 4%
Neutrino Physics Research
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Neutrino Mass Ordering as Weakly Projected Closure in ψ₀–OCM — John Francis Osborne · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS