Fourth-Face Talbot-Lau Completed-Event Preregistration: An Activation-Gated Blind Test of A7U Matter-Wave Transport

Abstract

Can a finite Talbot chamber produce a nonconstant visibility shape after the ordinary interferometer kernel is frozen? \[ \boxed{ \begin{aligned} H_0:&\ \mathbf y_\perp=0,\\ H_{\mathrm{A7U}}:&\ \mathbf y_\perp=P_{\mathrm{prof}}\mathbf g^{\mathrm{phys}},\\ g_r^{\mathrm{phys}}=&\ \log\left|\frac{\int_{\Delta v_r}W_r(v)B_1^{\mathrm{QM/env}}(v)F_1^{\mathrm{A7U}}(v)\,dv}{\int_{\Delta v_r}W_r(v)B_1^{\mathrm{QM/env}}(v)\,dv}\right|,\\ &\ \frac{\partial\mathbf g^{\mathrm{phys}}}{\partial\mathbf y}=0. \end{aligned}} \] Companion experiment: Test B: controlled configuration transport. Both v2.0 papers define their terminology independently and cross-link their title pages and headers. For experimentalists new to QTT. The opening guide starts from counts, Fourier visibility, the de Broglie wavelength and the ordinary Talbot kernel. It defines the extra source multiplier, the apparatus-specific coupling, the covariance and every qualification needed for a test. The five UEL coordinates are translated into conventional Planck units; no prior knowledge of the book is required. Executable joint-ensemble prediction. The fixed-mass formula is the monochromatic specialization. The physical prediction now integrates the source factor over each calibrated joint mass-velocity node inside the ordinary complex kernel. Both prediction and actual analysis inputs are bound to the full reviewed pre-data manifest. The source law and historical decision thresholds are unchanged. The current reconstruction preserves directory paths and includes regression tests for missing evidence, substituted covariance or tangents, and mass averaging. A design separation of five standard deviations is not an observed five-sigma discovery. Physical activation and observations remain pending. Version: 2.0 State: Stage-0 sealed; physical target activation pending; observation pending Concept DOI: 10.5281/zenodo.22010227 Author: Ali Attar, ORCID 0009-0008-9931-2691 This preregistration asks for a seven-bin, first-harmonic matter-wave shape, not a constant loss of fringe contrast. The source branch is fixed before observation, but the final laboratory prediction is legal only after the ordinary complex Talbot kernel, event weights, operating point, calibration uncertainty object, physics-generated tangent basis, covariance, extraction operator, and the apparatus proof of kappa = 1 are independently frozen. The finite source law is \[ \Delta_n(v)=\left\|n^2\frac{hL}{d^2mv}\right\|_{\mathbb Z},\qquad N_{\Gamma,n}=\left\lceil\Delta_n^{-1}\right\rceil,\qquad F_n^{\mathrm{A7U}}=\sqrt{1-2\kappa_n\frac{2}{N_{\Gamma,n}}\left(1-\frac{1}{N_{\Gamma,n}}\right)}. \] The release seals a high-precision source-only feasibility vector, but proves why that vector cannot be substituted for the physical instrument prediction. Complex Talbot coefficients must be combined inside each velocity-bin integral before taking their modulus. This is the central wrong-falsification firewall: source-only forecast ≠ physical instrument prediction ≠ observation. A central Access-Law interpretation requires the additional prospectively frozen certificate \[ W^\dagger M W=P_a, \qquad C_n^{\mathrm{obs}}=(1-\eta)C_{n,u}+\eta C_{n,a}, \qquad \frac{\partial(W,M,C_{n,u},C_{n,a})}{\partial\mathbf y}=0. \] Without it, the test still adjudicates the activated A7U Talbot-Lau branch, but the lawful projector label is INELIGIBLE_NO_ACCESS_LAW_ETA_VERDICT. This prevents both wrong falsification and false promotion without weakening the sealed test. The calibration-orthogonality gate is \[ U_{\mathrm{phys}}=[\mathbf 1,\partial_{\theta_1}\log|\bar B_1^0|,\ldots],\qquad R_{\mathrm{sens}}^{\mathrm{cal}}= \sqrt{(P_{\mathrm{phys}}\mathbf g^{\mathrm{phys}})^T (P_{\mathrm{phys}}\Sigma P_{\mathrm{phys}}^T)^+ (P_{\mathrm{phys}}\mathbf g^{\mathrm{phys}})}\ge5. \] If the apparatus or data packet does not pass every activation gate, the deterministic result is TARGET-NOT-ACTIVATED or INELIGIBLE_NO_THEORY_VERDICT. The source-only forecast is 96.51% linear in velocity, so a generic constant-only nuisance model is not sufficient; the activated mass, phase, velocity-width, grating, and separation derivatives must be projected explicitly. These pre-data gates cannot be altered after a null. A qualified null therefore remains a real scoped falsifier. The public Pedalino sodium-nanoparticle archive establishes that the high-mass Talbot-Lau platform is real and experimentally mature, but it does not contain the complete velocity-resolved visibility, covariance, ordinary-kernel, and path-provenance packet required for a retrospective execution. Its published ordinary theory curves share a fitted global contrast factor of 0.78, so a constant additional suppression is not separately identifiable. This is therefore a prospective sealed test, not an observation claim. Stable scientific anchors: A7U Molecular Visibility Transport A7U source framework Quantum Traction Theory: Main Book Pedalino et al., Nature experiment Public experimental archive QTT Observatory · DOI map The five UEL faces and the scope of these experiments \[ \boxed{\begin{aligned} E_* &=m_Ac^2=\hbar\omega_A\\ &=\rho_A^{(4)}(4\pi\ell_A^4) =\frac{\hbar c}{2\pi\ell_A}Q_A,\qquad Q_A=2\pi. \end{aligned}} \] Here the fourth-density has units of energy per fourth-power length, not ordinary energy per spatial volume. With the declared endpoint identification with conventional Planck coordinates and hbar = c = G = 1, the identity becomes \[ 1=1=1=\frac{1}{4\pi}(4\pi)=\frac{1}{2\pi}(2\pi). \] This is a unit translation. The laboratory tests the specified A7U harmonic consequence, not direct Planck four-volume metrology and not all five faces separately. The reference construction is linked through the fifth-face paper and completed-event capacity theorem. Two records for every qualified outcome The primary preregistered result is retained unchanged. A supplementary record preserves every unexplained residual, its covariance, controls and replication status. For a fixed whitened target of length R, the directional statistic z and orthogonal residual Q-perp obey \[ \boxed{\begin{aligned} \chi_0^2 &=z^2+Q_\perp,\\ \chi_{\rm QTT}^2 &=(z-R)^2+Q_\perp,\\ \chi_0^2-\chi_{\rm QTT}^2 &=2Rz-R^2. \end{aligned}} \] A full match, an adequately powered null and an unexpected third shape have different scientific meanings. A third shape can reject both specified models and still justify investigation. Partial agreement with a predicted feature is recorded with its chronology and multiplicity; it does not erase a failed full prediction. New explanations require fresh held-out validation. The same qualification rules apply to favorable and unfavorable outcomes. Current experimental status. Apparatus activation and observations remain pending. In particular, this release supplies no certified physical realization of the saturated path coupling. The sensitivity and event-count examples are clearly marked planning illustrations, not observed significances. Book and terminology anchors. Main book v10.01: pp. 246-248 (phase), 253 (capacity), 262-264 (completion), 1248 (fifth UEL coordinate), 1251 (distributed bundles). These are source dependencies, not independent evidence. Lexicon; Two Universes. Included: current PDF; LaTeX reconstruction; illustrated experimental guide; historical protocol seals and execution tools; supplementary reporting template and synthetic tests; numerical and render checks; SHA-256 manifest. The main PDF is the intended default preview.