Neutrino Mass Ordering from Soliton Topology
Description
Title: Neutrino Mass Ordering from Soliton Topology
Author: Alexander Novickis (alex.novickis@gmail.com)
The neutrino mass ordering — normal (m₁ < m₂ < m₃) versus inverted (m₃ < m₁ < m₂) — is one of the key open questions in particle physics. The topological soliton framework, developed in Paper IV, predicts normal ordering as a topological necessity: neutrinos are B = 1 Skyrmions in S³, organized in a 2+1 structure where the j = 1/2 doublet (ν₁, ν₂) is the ground state and ν₃ is a Grassmannian singlet excitation. This structure requires the doublet to be lighter than the singlet, enforcing m₃ > m₂ > m₁ — normal ordering. The predicted mass sum is Σ m_ν = 62 ± 5 meV, derived from a seesaw relation m_ν ~ c · m_e²/M_W with c = η² (the gauge-scalar overlap parameter). We compare this prediction quantitatively with JUNO (reactor neutrino oscillations, mass ordering by ~ 2028), DUNE (long-baseline oscillations with matter effects, ~ 2030), and cosmological constraints from Planck, DESI BAO, and future CMB-S4. The prediction is falsifiable: if JUNO finds inverted ordering (m₃ < m₁), or if cosmological surveys measure Σ m_ν < 57 meV or > 67 meV at high confidence, the current form of the soliton framework is excluded. This paper establishes the neutrino mass ordering as the most immediate experimental test of the topological soliton programme.
Keywords: physics, topology, solitons, neutrinos, mass ordering, JUNO, DUNE, cosmology
Series: Paper LII in the Hopf Soliton Programme
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