Leptonic CP is Majorana, not Dirac: A Pre-registered Neutrino-Sector Prediction Set

Abstract

A dated, single-chain bet on the neutrino sector: four linked, falsifiable predictions that stand or fall together, pre-registered before the next round of long-baseline and 0νββ data. (P1) Leptonic Dirac CP is conserved — the leptonic Jarlskog invariant J_ℓ = 0 and δ_CP ∈ {0, π}, because the framework's PMNS mixing is a real error-correcting frame transport (a rotation, which cannot generate an oscillation CP phase). (P2) CP violation is instead Majorana, carried by a discrete oriented-boundary sign pointer ωK_R1 (eigenvalues {0, ±√3}, diagonal in the mass basis), so it shows up in neutrinoless double-beta decay and leptogenesis, not in oscillations. (P3) Normal ordering with a fixed spectrum — a neutrino Koide circulant fixes the mass ratios and the atmospheric splitting sets the scale, giving m ≈ (0.79, 8.72, 50.2) meV and Σm_ν ≈ 60 meV; the same construction predicts a near-maximal second-octant atmospheric angle θ23 ≈ 45.9–46.0°, not the high-octant ~49° central value. (P4) The effective Majorana mass is m_ββ ≈ 1.8 meV (or 3.1 meV for the opposite global orientation), inside a phase envelope [0.7, 4.2] meV — far below current (KamLAND-Zen) and next-generation (LEGEND-1000/nEXO, ~9–21 meV) reach, so the framework expects no 0νββ signal in the coming round. The set is consistent with all present data (NuFit-6.0 allows normal ordering with CP conservation within 1σ) and is falsified by any of: a high-significance nonzero long-baseline Dirac δ_CP in normal ordering; a 0νββ detection with m_ββ ≳ 10 meV; an established inverted ordering; or Σm_ν ≫ 60 meV. Explicit tier: a conditional prediction resting on the leading-order real frame-transport and discrete-sign Majorana reading, not a locked result.

Keywords

How to cite

Elliman, D. (2026). Leptonic CP is Majorana, not Dirac: A Pre-registered Neutrino-Sector Prediction Set. Neuro-Symbolic Ltd technical report. https://neusym.ai/papers/leptonic_cp_neutrino_prediction

@techreport{elliman2026leptoniccpneutrinoprediction,
  author      = {Elliman, David},
  title       = {Leptonic CP is Majorana, not Dirac: A Pre-registered Neutrino-Sector Prediction Set},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  url         = {https://neusym.ai/papers/leptonic_cp_neutrino_prediction}
}