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

When a pure object is only pure for a closed access cut For every declared finite chamber whose completed boundary-capacity slots are counted before observation, QTT fixes a nonzero modular gap: \[ q_{\min}(\Gamma)=\frac{2\pi}{N_\Gamma},\qquad \epsilon_{\min}(\Gamma)=\frac{1}{N_\Gamma},\qquad \delta_G(\Gamma)=\frac{2}{N_\Gamma}\left(1-\frac{1}{N_\Gamma}\right). \] The integer NΓ is not a fitted visibility offset, decoherence rate, hidden reservoir, or contrast normalization. It counts completed A5-A6-A7 boundary-capacity slots in the declared chamber. Scientific result: a QTT zero-fit source-explanatory victory for the finite A7U chamber gap. Purification, reduced density matrices, Fourier cameras, and environmental decoherence retain standard ownership. The same-universe modular bundle and finite completed-address spectrum are QTT-native and have no textbook counterpart in this source ontology. The universal all-chamber reference spectrum and physical projector-to-camera transfer remain separate empirical gates. Existing matter-wave visibility alone does not identify the central projector weight. Version 5.01 retains the no-gap counterfamily, single-block non-identifiability theorem, stressed Pedalino diagnostic, and open floor-observation verdict.