A7U: Distributed Planck Bundles, Access-Relative Purity, and the Matter-Wave Visibility Bridge

Abstract

When a pure object is only pure for a closed access cut The completed distributed bundle closes one source budget: \[ \boxed{Q_w^{\mathrm{vis}}+Q_w^{\mathrm{hid}}=2\pi.} \] Version: 4.1 Concept DOI: 10.5281/zenodo.20097247 Author: Ali Attar, ORCID 0009-0008-9931-2691 Website: quantumtraction.org A7U treats the unobserved complement of a laboratory member as the unresolved visible share of the same completed address bundle, not as an adjustable external reservoir. A strict incomplete access cut is therefore mixed, while purity is recovered when access closes over the purification sector. The finite chamber source theorem remains \[ \boxed{ \delta_G(\Gamma)=\frac{2}{N_\Gamma}\left(1-\frac{1}{N_\Gamma}\right), \qquad N_\Gamma\in\mathbb N. } \] Version 4.1 closes the missing source-projector-camera typing. The physical first-harmonic coefficient is a sector sum before any modulus is taken: \[ \boxed{ C_n^{\mathrm{obs}}=(1-\eta)C_{n,u}+\eta C_{n,a}, \qquad V_n^{\mathrm{obs}}=\frac{|C_n^{\mathrm{obs}}|}{C_0^{\mathrm{obs}}}. } \] The projector interpretation is legal only when the source and apparatus are connected by a target-blind physical certificate, including \(W^\dagger M W=P_a\). On the independently certified equal-transmission, visibility-silent access branch, the camera gives \(V_n^{\mathrm{obs}}/V_{n,u}=1-\eta\). Without that certificate, an attenuation factor is not renamed as an Access-Law projector measurement. The public Pedalino matter-wave packet remains scientifically useful and is now classified without ambiguity: the nominal saturated A7U branch is a reproducible stressed diagnostic; the present packet is ineligible for a theory verdict because the full covariance and physical projector-camera certificate are absent; direct floor observation and an Access-Law \(\eta\) measurement remain pending. Closed: distributed-bundle ontology, incomplete-access mixedness, finite cut-gap theorem, two-sector reference spectrum, molecular transport framework, and generic sector-resolved Fourier camera. Pending: experiment-specific physical projector-camera certificate, eligible full-covariance execution, direct floor observation. Stable scientific anchors: Observation as Access A7U Molecular Visibility Transport Fourth-Face Talbot-Lau Preregistration Quantum Traction Theory: Main Book