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PreprintCC BYZenodo (CERN European Organization for Nuclear Research)

Artian LIA Neutrino Family-Rank Reference Theorem

  1. 1Independent Researcher, Colombes, France

Abstract

One frozen mass-gap direction, one external scale anchor, and a complete minimal neutrino spectrum The neutral-family constructor is written as a finite source compiler: (Dν,Gν,𝒜νrank) ⟶ ρν=2πcos (π/8) ⟶ (m1,m2,m3) =mΔ ( 0,1/(√(ρν2−1)), ρν/(√(ρν2−1)) ). Its scale-free face is (Δ m312)/(Δ m212) =ρν2 =33.69693720145647. Official NuFIT 6.1 joint-profile execution gives Δχ2=0.187708 and 0.387921 after profiling only the common mass scale. Using the JUNO reactor solar gap once gives Δ m312,QTT|A =(2.5272703±0.0404363)×10−3 eV2, (m1,m2,m3) =(0,8.660254,50.271963) meV, ∑ mν=58.932217 meV. The same branch supplies a non-gravitational Artian ruler: ℓA(ν) =(ℏ c)/(2π)5v2 √((ρ2−1)Δ m212). The framework keeps source geometry and laboratory scale transport distinct: Mνlab=Zν Mνsrc, (Δ m312,lab)/(Δ m212,lab) =(Δ m312,src)/(Δ m212,src) =ρ2. Thus the ratio and one-anchor population are joint-profile compatible, while the raw identity-transport source normalization is separately stressed at Δχ2≃22.4--22.5. No transport coefficient is selected from that residual. Stable anchors: paper concept DOI; QTT Main Book v10.01; Derivation Atlas.

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BibTeX
@misc{ali2026artian,
  title = {{Artian LIA Neutrino Family-Rank Reference Theorem}},
  author = {Attar Ali},
  howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2026},
  month = jun,
  doi = {10.5281/zenodo.20571452},
  url = {https://doi.org/10.5281/zenodo.20571452},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - Artian LIA Neutrino Family-Rank Reference Theorem
AU  - Attar Ali
PY  - 2026
DA  - 2026/06/06
PB  - Zenodo (CERN European Organization for Nuclear Research)
DO  - 10.5281/zenodo.20571452
UR  - https://doi.org/10.5281/zenodo.20571452
AB  - One frozen mass-gap direction, one external scale anchor, and a complete minimal neutrino spectrum The neutral-family constructor is written as a finite source compiler: (D_ν,G_ν,𝒜_ν^rank) ⟶ ρ_ν=2πcos (π/8) ⟶ (m_1,m_2,m_3) =m_Δ ( 0,1/(√(ρ_ν^2−1)), ρ_ν/(√(ρ_ν^2−1)) ). Its scale-free face is (Δ m_31^2)/(Δ m_21^2) =ρ_ν^2 =33.69693720145647. Official NuFIT 6.1 joint-profile execution gives Δχ^2=0.187708 and 0.387921 after profiling only the common mass scale. Using the JUNO reactor solar gap once gives Δ m_31^2,QTT|A =(2.5272703±0.0404363)×10^−3 eV^2, (m_1,m_2,m_3) =(0,8.660254,50.271963) meV, ∑ m_ν=58.932217 meV. The same branch supplies a non-gravitational Artian ruler: ℓ_A^(ν) =(ℏ c)/(2π)^5v^2 √((ρ^2−1)Δ m_21^2). The framework keeps source geometry and laboratory scale transport distinct: M_ν^lab=Z_ν M_ν^src, (Δ m_31^2,lab)/(Δ m_21^2,lab) =(Δ m_31^2,src)/(Δ m_21^2,src) =ρ^2. Thus the ratio and one-anchor population are joint-profile compatible, while the raw identity-transport source normalization is separately stressed at Δχ^2≃22.4--22.5. No transport coefficient is selected from that residual. Stable anchors: paper concept DOI; QTT Main Book v10.01; Derivation Atlas.
ER  -