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

Keywords
  • Parity (physics)
  • Neutrino
  • Yukawa potential
  • Rigidity (electromagnetism)
  • Spectral properties
  • Rank (graph theory)
  • Point (geometry)
  • Fano plane
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