Materials & Energypreprint2026-08-22

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

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Abstract

A matter-wave visibility floor becomes physics only when a frozen source certificate produces a surviving experimental shape. The paper inserts the A7U source factor into the ordinary Talbot-Lau transport rather than replacing environmental decoherence: \[ B_n^{\rm QTT}(v) = B_n^{\rm QM/env}(v)F_n^{\rm A7U}(v), \qquad F_n^{\rm A7U}(v)=\left|1-\frac{2}{N_{\Gamma,n}^{\rm TL}(v)}\right|. \] Version 10.1 executes this factor inside the public Pedalino complex first-harmonic mass/velocity kernel. The ordinary public kernel gives chi-square 44.539 for 31 nominal degrees of freedom; the saturated A7U branch gives 70.439 under the same diagonal-error treatment and the same one-contrast profiling rule. The nominal branch is therefore a reproducible stressed diagnostic. Version 10.1 also closes the projector-harmonic type boundary. The A7U factor above is a source-conditioned harmonic transport coefficient. The Access-Law quantity eta = Tr(rho M) is the state weight of a bounded central projector. Their exact bridge is the sector-resolved Fourier camera \[ C_n^{\rm obs}=(1-\eta)C_{n,u}+\eta C_{n,a}. \] A single visibility does not identify eta generically. The simple rule Vobs/Vu = 1 - eta is exact only after a physical intertwiner, equal DC throughput, zero aligned-sector analyzed harmonic, independent ordinary camera, and full covariance are certified before the target row is opened. The public Pedalino archive does not contain those objects, so it remains a camera diagnostic and carries no Access-Law eta verdict. That result is not a sigma exclusion. The fixed curves are nonnested, and the public archive does not contain the full observation covariance or the target-blind physical calibration tangent packet required by the separately sealed Fourth-Face activation theorem. The lawful status is: Nominal public branch: stressed diagnostic.Theory verdict: ineligible.Blind A7U observation: pending. The release also closes the multi-operating-point rank-lift theorem. With a target-blind ordinary tangent matrix \(U_{\rm phys}\), full covariance \(\Sigma\), and frozen A7U shape \(g\), define \[ P_{\rm cal} = I-U_{\rm phys} \left(U_{\rm phys}^{T}\Sigma^{-1}U_{\rm phys}\right)^{+} U_{\rm phys}^{T}\Sigma^{-1}. \] The A7U shape is identifiable exactly when \[ P_{\rm cal}g\ne0 \quad\Longleftrightarrow\quad g\notin{\rm col}(U_{\rm phys}). \] This converts the present ambiguity into a finite experimental requirement: predeclare multiple operating points, freeze the physical calibration tangent space and full covariance before target-data access, and require calibrated sensitivity of at least five. Missing activation objects block favorable and adverse verdicts equally; a packet that passes before unblinding cannot be withdrawn after a qualified null. Concept DOI: 10.5281/zenodo.20796924 Fourth-Face test: 10.5281/zenodo.22010227 Main book: 10.5281/zenodo.17527179 Website: quantumtraction.org

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View paper (DOI)Open access versionOpenAlexZenodo (CERN European Organization for Nuclear Research)Published 2026-08-22

Authors: Attar Ali