Artian Quark Source-Word Compiler, Baryon Unlock, and CKM Reference Framework
Abstract
Six Quark Masses, the Proton, and CKM Mixing from One Typed Finite Constructor Can one declared source grammar generate all six quark mass words, a color-singlet proton eigenvalue, and the charged-current mixing matrix without reading those observations back into the constructor? This paper gives an executable QTT answer. Its input is a typed quark label \[ f\longmapsto(S_f,r_f,Y_R(f),Q_f,\mathcal S_f), \] and its source compiler is \[ \boxed{ \ell_f=4(r_f+h_f)+\epsilon_f r_f+ {\rm sred}_4\!\left(\frac{3Y_R(f)}{2}\right){r_f\choose2}, \qquad m_f^{\mathcal S}=E_H e^{-\ell_f}\widehat{\mathcal T}_f\mathcal R_f^{\mathcal S}. } \] The resulting depth word is \[ \boxed{ (\ell_t,\ell_b,\ell_c,\ell_s,\ell_d,\ell_u)=(0,4,5,8,11,12). } \] The finite source class contains sixteen declared local metadata words for each typed quark. Representation gates leave one word per slot: \[ \boxed{ |\mathfrak W_Q|=16^6=16\,777\,216, \qquad \#\mathfrak W_Q^{\rm legal}=1. } \] This is a finite uniqueness certificate inside the declared MARIAM grammar, not a probability or a look-elsewhere significance. Observed quark masses are audit rows, not constructor inputs. The same frozen quark/QCD packet passes through the color determinant and finite spin-flavor endurance operator. It returns \[ \boxed{ M_p^{\rm QTT}=938.272093880868\ {\rm MeV}, \qquad M_n^{\rm QTT}=939.565424008635\ {\rm MeV}. } \] The proton residual is \(0.00474\) ppm of the mass. Version 5.2 makes the precision question explicit by separating three different comparisons: the historical formal pull, the Class-A pull after propagating the declared weak-scale ruler, and a scale-free ratio in which that ruler cancels. The absolute realization uses \[ \boxed{ E_H=(2\sqrt2\,G_F)^{-1/2}, \qquad M_p=E_HC_p, \qquad M_n=E_HC_n, } \] so the common ruler carries \[ \boxed{ u_r(E_H)=\frac12u_r(G_F)=2.55\times10^{-7}. } \] Its inherited covariance is rank one: \[ \boxed{ \Sigma_A^{(G_F)}= u_r(E_H)^2 \begin{pmatrix}M_p\\M_n\end{pmatrix} \begin{pmatrix}M_p&M_n\end{pmatrix}. } \] The four-row comparator ledger is therefore \[ \boxed{ \begin{aligned} z_p^{\rm formal}&=+15.348, &z_p^{A}&=+0.01860,\\ z_n^{\rm formal}&=+4.310, &z_n^{A}&=+0.00863,\\ z_{n-p}^{\rm formal}&=-6.269, &z_{n-p}^{A}&=-4.735. \end{aligned} } \] The formal proton row is retained rather than erased. The small absolute Class-A pulls do not make the theory more precise; they show that the absolute rows are currently limited by the declared dimensional anchor. The common ruler cancels from the sharper dimensionless test: \[ \boxed{ R_{np}^{\rm QTT}=\frac{M_n}{M_p} =1.00137841691787, \qquad z(R_{np})=-6.355\sigma. } \] This is the genuine current baryon precision stress exposed by v5.2. No proton-only, neutron-only, common, or isovector correction is introduced. A future atomic-mass-chain access theorem must be derived against the full metrology graph and frozen before its residuals are opened. The CKM precision packet is generated from typed finite-set cardinalities \[ \boxed{ (n_{12},u_{12},n_{23},a_{13},p_\delta,q_\delta,n_L) =(20,10,104,6,7,12,192), } \] which produce \[ \begin{aligned} s_{12}^{\rm prec}&=\sqrt2\sin\!\frac{\pi}{20} \left(1+\frac{1}{10\rho}\right),\\ s_{23}^{\rm prec}&=\sqrt2\sin\!\frac{\pi}{104},\\ s_{13}^{\rm prec}&=\frac38\left(1+\frac{1}{6\rho}\right) s_{12}^{\rm prec}s_{23}^{\rm prec},\\ \delta_{\rm prec}&=\frac{\pi}{3}+\frac{7}{12\rho}. \end{aligned} \] The frozen left-access profile has maximum published marginal pulls of \(0.30\sigma\), \(0.96\sigma\), and \(0.46\sigma\) against the PDG 2025, CKMfitter Summer 2025, and UTfit Summer 2025 rows. Public marginal intervals do not determine a joint covariance, so the paper does not fabricate a joint \(\chi^2\). A reader-facing axiom and concept load map identifies which QTT structures do work in each row. A1, A4, A5-X, A6, and A7 carry the active source and closure load; A2 supports the baryon endurance branch; A3 is explicitly inactive in this constructor; and A7U is retained only as a completion guardrail. The map also separates Artian geometry, MARIAM depth, Access Law, typed finite cardinality, Keystone class discipline, and the no-retune firewall. Scoped status Σ-QUARK-SIX-MASS-SOURCE-WORD-COMPILER-CLOSED Σ-QUARK-MARIAM-METADATA-UNIQUENESS-16^6-TO-1-CLOSED Σ-QUARK-COLOR-SINGLET-BARYON-SOURCE-UNLOCK-CLOSED Σ-QUARK-PROTON-PPM-READOUT-CLOSED Σ-BARYON-CLASS-A-ANCHOR-UNCERTAINTY-LEDGER-CLOSED Σ-NEUTRON-PROTON-RATIO-6P36-SIGMA-STRESS-VISIBLE Σ-ATOMIC-MASS-CHAIN-ACCESS-THEOREM-PENDING Σ-CKM-TYPED-CARDINALITY-PACKET-CLOSED Σ-CKM-PUBLIC-MARGINAL-PROFILE-CLOSED Σ-CKM-JOINT-COVARIANCE-FROM-MARGINALS-NONIDENTIFIABLE Σ-QUARK-SOURCE-ONLY-SI-CLOSURE-NOT-CLAIMED Related anchors Main book v10.01: 10.5281/zenodo.17527179 QTT DOI Map: quantumtraction.org/doi-map Charged-lepton family-rank reference theorem: 10.5281/zenodo.20698191 Neutrino family-rank reference theorem: 10.5281/zenodo.20571452 PMNS mixing reference framework: 10.5281/zenodo.20735493 CODATA 2022 review: 10.1103/RevModPhys.97.025002 The stable paper-family identifier is the concept DOI 10.5281/zenodo.20722978. Files Version 5.2 PDF paper, uploaded first as the default preview Version 5.2 reconstruction package ZIP containing the LaTeX source, machine certificates, numerical audit outputs, render audit, README, release notes, and SHA-256 manifest
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Neutrino Physics Research
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 July 2026
- Language
- EN
- Document type
- Preprint