Parity Protection and Equatorial Spectral Rigidity in Octonionic Neutrino Structure
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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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Topics
Keywords
- Parity (physics)
- Neutrino
- Yukawa potential
- Rigidity (electromagnetism)
- Spectral properties
- Rank (graph theory)
- Point (geometry)
- Fano plane
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