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

A7U molecular interferometry as an arithmetic visibility test Version: 8.01 Concept DOI: 10.5281/zenodo.20796924 Author: Ali Attar Website: quantumtraction.org This paper develops the A7U molecular visibility transport framework in Quantum Traction Theory (QTT). The source-side A7U gap is \[ N_\Gamma\in\mathbb N,\qquad \delta_G(\Gamma) = \frac{2}{N_\Gamma}\left(1-\frac1{N_\Gamma}\right), \] but a source gap is not automatically an observed molecular-interferometry floor. It must pass through a declared laboratory access map, ordinary decoherence, apparatus contrast, binning, and covariance. Version 8.01 retains the v8 row-packet execution gate and adds the A7U Artian Commensurability Reading of the Talbot--Lau rail. With \[ \tau(v)=\frac{L}{L_T(v)}=\frac{hL}{d^2mv}, \] the already-derived chamber count is read as the finite equal-share completion of the residual Talbot turn: \[ \Delta_n^{\rm TL}(v)=\left\|n^2\tau(v)\right\|_{\mathbb Z}, \qquad N_{\Gamma,n}^{\rm TL}(v)= \left\lceil\frac1{\Delta_n^{\rm TL}(v)}\right\rceil. \] Exact commensurability, \[ n^2\tau(v)\in\mathbb Z, \] is the closed access row for that harmonic and gives no same-harmonic A7U floor. Away from exact closure, \[ \delta_{G,n}^{\rm TL}(v) = \frac{2}{N_{\Gamma,n}^{\rm TL}(v)} \left(1-\frac1{N_{\Gamma,n}^{\rm TL}(v)}\right). \] In the saturated \(\kappa_n=1\) branch, the visibility factor collapses to the existence-fraction identity \[ F_n^{\rm A7U}(v) = \sqrt{1-2\delta_{G,n}^{\rm TL}(v)} = \left|1-\frac2{N_{\Gamma,n}^{\rm TL}(v)}\right|. \] For the Pedalino/Arndt sodium-cluster anchor \[ m=171.283763350052\,{\rm kDa},\quad v_0=158\,{\rm m\,s^{-1}},\quad d=133\,{\rm nm},\quad L=0.98375\,{\rm m}, \] the arithmetic rail gives \[ \tau(v_0)=0.820002378276129. \] The printed multi-harmonic comb is \[ \begin{array}{c|c|c|c} n & \Delta_n(v_0) & N_{\Gamma,n}^{\rm TL} & F_n^{\rm A7U}(\kappa=1)\\ \hline 1 & 0.179997621724 & 6 & 0.666666666667\\ 2 & 0.280009513105 & 4 & 0.500000000000\\ 3 & 0.380021404485 & 3 & 0.333333333333\\ 4 & 0.120038052418 & 9 & 0.777777777778\\ 5 & 0.499940543097 & 3 & 0.333333333333 \end{array} \] This is a source arithmetic forecast, not a claimed floor observation. The row-packet execution theorem remains the observation firewall: \[ \mathcal G_{\rm adm} = G_{\rm field}G_{\rm bin}G_{\rm cov}G_{\rm branch}G_\kappa G_{\rm firewall}, \] and \[ \mathcal E_{\rm A7U}^{\rm TL} : (\mathfrak D_{\rm row}^{\rm TL},\mathbf s_\star,\Sigma_\perp) \mapsto (\mathcal R_{\rm sens},z_\parallel,\hat a,\chi^2_{\rm A7U}, \chi^2_{\rm null},\Delta\chi^2,p_{\rm A7U},p_{\rm null},\mathcal V_{\rm row}). \] The public Pedalino packet remains a power-scan packet, not a blind velocity-bin row with the required hidden residual and covariance objects. Therefore the floor observation remains pending. Main status labels: A7U-TALBOT-LAU-VELOCITY-OPERATOR-CLOSED A7U-TALBOT-LAU-PHASE-DEFECT-RAIL-CLOSED A7U-TALBOT-LAU-BINNED-ACCESS-COVARIANCE-CLOSED A7U-PEDALINO-PUBLIC-PACKET-NUMERICALLY-POPULATED A7U-TALBOT-LAU-BLIND-SENSITIVITY-FORECAST-CLOSED A7U-TALBOT-LAU-BLIND-PROTOCOL-PACKET-CLOSED A7U-TALBOT-LAU-ROW-PACKET-EXECUTION-GATE-CLOSED A7U-ARTIAN-COMMENSURABILITY-READING-CLOSED A7U-EXISTENCE-FRACTION-KAPPA-ONE-COROLLARY-CLOSED A7U-MULTI-HARMONIC-COMB-PREDICTION-OPENED A7U-FLOOR-OBSERVATION-PENDING Version 8.01 also states a guardrail: a cosine-mismatch expression such as \[ 1-\cos(2\pi\kappa_n) \] is not admitted as a source constructor here. The Talbot phase distance is already used to build \(N_{\Gamma,n}^{\rm TL}\), and a second periodic factor would double-count the same closure defect unless a separate A6/A7 theorem derives it. Included files: PDF paper, Version 8.01 LaTeX source v8 row-packet executor required row-packet schema locked primary prediction CSV synthetic exact and null self-test rows execution JSON outputs execution certificate v8.01 arithmetic-comb verifier and JSON certificate render audit SHA-256 manifest Related QTT anchors: Main book: Quantum Traction Theory: Main Book v10.01 A7U source paper: 10.5281/zenodo.20097247