A7U Molecular Visibility Transport: From Certified Source Gap to Talbot-Lau Matter-Wave Shape and Row-Packet Execution

A7U Molecular Visibility Transport Version: 9.0 Concept DOI: 10.5281/zenodo.20796924 Author: Ali Attar Website: quantumtraction.org This release extends the A7U molecular visibility transport framework with a fixed-velocity harmonic-comb discriminator for Talbot-Lau matter-wave interferometry. The core point is that the A7U visibility floor is not transported into a single flat contrast number. At a fixed molecular velocity, the source word predicts a jagged arithmetic comb across fringe harmonics: \[ \tau(v_0)=\frac{hL}{d^2mv_0}, \qquad \Delta_n(v_0)=\|n^2\tau(v_0)\|_{\mathbb Z}. \] The corresponding Talbot-Lau chamber count is \[ N_{\Gamma,n}^{\rm TL}(v_0) = \begin{cases} \infty,&\Delta_n(v_0)=0,\\ \left\lceil\Delta_n(v_0)^{-1}\right\rceil,&\Delta_n(v_0)>0, \end{cases} \] and the saturated A7U source factor is \[ F_n^{\rm A7U}(v_0) = \left|1-\frac{2}{N_{\Gamma,n}^{\rm TL}(v_0)}\right|. \] At the public Pedalino/Arndt anchor used in the paper, \[ v_0=158\,{\rm m\,s^{-1}}, \qquad \tau(v_0)=0.820002378276129. \] The fixed-velocity comb through \(n=12\) is \[ \begin{array}{c|cccccccccccc} n&1&2&3&4&5&6&7&8&9&10&11&12\\ \hline N_{\Gamma,n}^{\rm TL} &6&4&3&9&3&3&6&3&3&4205&5&13\\ F_n^{\rm A7U} &0.667&0.500&0.333&0.778&0.333&0.333&0.667&0.333&0.333&0.9995&0.600&0.846 \end{array} \] The \(n=10\) near-unity value is not a fitted enhancement. It comes from the same printed Talbot rail: \[ 10^2\tau(v_0)=82.000237827613, \qquad \|10^2\tau(v_0)\|_{\mathbb Z} =2.37827612949\times10^{-4}. \] The release also keeps the v8.5 observation-packet discipline: a real observation requires a same-apparatus harmonic-resolved row with declared harmonic extraction, ordinary environmental/Talbot rows, velocity-bin kernels, covariance, nuisance-profile projection, and no post-data branch choice. Main status labels: A7U-FIXED-VELOCITY-HARMONIC-DISCRIMINATOR-DERIVED A7U-TALBOT-DENOMINATOR-RESONANCE-LAW-PRINTED A7U-MULTI-HARMONIC-IDENTIFIABILITY-THEOREM-CLOSED A7U-MULTI-HARMONIC-COMB-OBSERVATION-PENDING The observation label remains pending. The public Pedalino power-scan packet is not treated as a hidden harmonic-resolved covariance row, so v9.0 is a blind-test theorem and protocol, not a claimed public-data detection. Related QTT anchors: Main book concept DOI: 10.5281/zenodo.17527179 Source-completion framework: 10.5281/zenodo.20840233 Quantum Traction website: quantumtraction.org Included files: PDF paper, Version 9.0 LaTeX source v9.0 multi-harmonic executor Locked prediction CSV Required hidden-row schema CSV JSON machine certificate Render audit SHA-256 manifest Release package ZIP