Artian LIA Neutrino Family-Rank Reference Theorem

Artian LIA Neutrino Family-Rank Reference Theorem Version: 1.2 Concept DOI: 10.5281/zenodo.20571452 Version DOI: 10.5281/zenodo.20571453 Author: Ali Attar Website: quantumtraction.org Corpus category: Particle physics, HVP, color confinement, collider tests, flavor, and chirality Artian LIA Neutrino Family-Rank Reference Theorem presents a source-first, observation-last framework for the neutrino mass-squared ratio, the minimal neutral spectrum, and the non-gravitational Artian-ruler corridor in Quantum Traction Theory (QTT). The central source theorem is the neutral family-rank rail rho_nu = 2*pi*cos(pi/8) with the minimal active-branch spectrum (m1,m2,m3) = m_Delta*(0, 1, rho_nu)/sqrt(rho_nu^2 - 1). Therefore the QTT source prediction is Delta m31^2 / Delta m21^2 = rho_nu^2 = 4*pi^2*cos^2(pi/8) = 33.69693720145647... This upload separates the green source ratio from the audit-level absolute source-scale problem. Observed oscillation gaps, cosmological mass sums, beta-endpoint bounds, neutrinoless-double-beta limits, PMNS fits, CODATA Planck units, and measured G are not allowed to write the source theorem. They enter only as laboratory readout rows after the QTT source rail has been declared. The paper also prints the non-gravitational Artian-ruler bridge m_Delta*E_* = (2*pi)^5*v_Q^2, ell_A^(nu) = hbar*c*m_Delta / ((2*pi)^5*v_Q^2), G_A^(nu) = hbar*c^5*(m_Delta/((2*pi)^5*v_Q^2))^2. Version 1.2 is structured as a reusable QTT framework: it includes a constructor-domain firewall, a finite neutral legal class, a source-access-laboratory functor, a machine replication manifest, locked audit gates, and explicit falsifiers. The theorem is designed so that future measurements by JUNO, DUNE, Hyper-K, DESI, Euclid, CMB-S4, KATRIN, and neutrinoless-double-beta searches can be compared without retuning the source rail. Status: source ratio closed; minimal neutral spectrum closed; non-gravitational Artian-ruler formula closed; numerical SI-ruler and G-audit rows remain observation-last unless the absolute scale m_Delta is derived independently from a non-oscillation QTT source rail. Core labels: Sigma-NEUTRINO-FAMILY-RANK-REFERENCE-THEOREM; Sigma-NEUTRINO-RATIO-SOURCE-CLOSED; Sigma-NEUTRINO-MINIMAL-NEUTRAL-SPECTRUM-CLOSED; Sigma-NON-G-ARTIAN-RULER-CORRIDOR-AUDIT. Use of AI assistance: AI assistance was used for editorial structuring, independent algebraic organization, formatting, and language polishing. The scientific content, source claims, equations, audit boundaries, and final responsibility remain with the author. Main status labels: GREEN: Σ-OPEN-ZENODO-RECORD-PUBLISHED GREEN: Σ-CONCEPT-DOI-STABLE-CITATION GREEN: Σ-VERSION-DOI-RECONSTRUCTION-AVAILABLE SCOPE: Σ-CLAIM-STATUS-DEFINED-IN-PAPER Audit and claim scope: Concept DOI is the stable citation target for this research family. Version DOI and Zenodo record ID identify this exact public release for reconstruction. This description is a record-level guide; the paper itself controls theorem status, assumptions, and falsifiers. Related QTT anchors: Main book concept DOI: 10.5281/zenodo.17527179 Corpus Tree row: quantumtraction.org/doi-map/#record-20571453 Blog Map row: quantumtraction.org/blog-map/#corpus-record-20571453 Observatory: quantumtraction.org/observatory/ Derivation Atlas: quantumtraction.org/derivation-atlas/ Lexicon: quantumtraction.org/lexicon/ Related QTT DOI (references): 10.5281/zenodo.17527179 Related QTT DOI (references): 10.5281/zenodo.19960813 Related QTT DOI (cites): 10.5281/zenodo.20698191 Related QTT DOI (cites): 10.5281/zenodo.19979594 Related QTT DOI (cites): 10.5281/zenodo.20051961 Related QTT DOI (cites): 10.5281/zenodo.20053461 Related QTT DOI (hasPart): 10.5281/zenodo.20045140 Related QTT DOI (cites): 10.5281/zenodo.20042421 Included files: qtt_neutrino_family_rank_reference_theorem_v1_2.pdf qtt_neutrino_family_rank_reference_theorem_v1_2.tex

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