What question did this study set out to answer?

This research aims to prove structural theorems regarding neutrino characteristics in the octonionic flavor framework.

March 30, 2026Open Access

Parity Protection and Equatorial Spectral Rigidity in Octonionic Neutrino Structure

Key Points

This research aims to prove structural theorems regarding neutrino characteristics in the octonionic flavor framework.
Utilized a Z₂-parity argument to analyze the neutrino Yukawa columns.
Examined the spectral ratio at the equatorial point of the flavor sphere.
Derived predictions using a linear mass morphism.
Demonstrated that the neutrino Yukawa column vanishes in the even Fano channel, indicating rank ≤ 2.
Calculated the spectral ratio at the flavor sphere's equatorial point to be exactly 3+2√2.
Predicted a mass ratio Δm²₃₁/Δm²₂₁ of approximately 33.97, with ~1% agreement with NuFit 6.0.

Abstract

We prove two structural theorems within the octonionic flavor framework of 1. First, a Z₂-parity argument shows that the neutrino Yukawa column vanishes identically in the even Fano channel, guaranteeing rank ≤ 2 universally. Second, at the equatorial point of the flavor sphere, the spectral ratio equals exactly 3+2√2 = (1+√2)². Under the linear mass morphism, this predicts Δm²₃₁/Δm²₂₁ = 17+12√2 ≈ 33.97, in ~1% agreement with NuFit 6.0. A computable mass-phase curve links the CP phase to the mass ratio.

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M. Bakhtaoui

Université des Sciences et de la Technologie d'Oran Mohamed Boudiaf

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Parity Protection and Equatorial Spectral Rigidity in Octonionic Neutrino Structure

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Abstract

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