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A7U Molecular Visibility Transport: Closed Source Floor, Access Transport, and Existing-Data Consistency Rows

Attar Ali

Published Jun 22, 2026• 3 citations
Publisher

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

DOI
10.5281/zenodo.20796924

Related papers

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

Attar Ali

Can a finite Talbot chamber produce a nonconstant visibility shape after the ordinary interferometer kernel is frozen? \[ \boxed{ \begin{aligned} H_0:&\ \mathbf y_\perp=0,\\ H_{\mathrm{A7U}}:&\ \mathbf y_\perp=P_{\mathrm{prof}}\mathbf g^{\mathrm{phys}},\\ g_r^{\mathrm{phys}}=&\ \log\left|\frac{\int_{\Delta v_r}W_r(v)B_1^{\mathrm{QM/env}}(v)F_1^{\mathrm{A7U}}(v)\,dv}{\int_{\Delta v_r}W_r(v)B_1^{\mathrm{QM/env}}(v)\,dv}\right|,\\ &\ \frac{\partial\mathbf g^{\mathrm{phys}}}{\partial\mathbf y}=0. \end{aligned}} \] Version: 1.2 State: Stage-0 sealed; physical target activation pending; observation pending Concept DOI: 10.5281/zenodo.22010227 Author: Ali Attar, ORCID 0009-0008-9931-2691 Version note: v1.2 is an append-only source-projector-camera scope upgrade. The historical v1.0.1 branch, source equations, seven-bin vector, thresholds, PDF hash, and protocol-seal hash remain preserved. The v1.1 calibration-orthogonality gate also remains unchanged. The new outer wrapper separates the sealed A7U source-harmonic verdict from any stronger interpretation as a measurement of the central Access-Law projector weight. 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

•Aug 19, 2026•3 citations

Two-Configuration Talbot-Lau Feature-Transport Preregistration: A Blind Test of the A7U Completed-Event Migration Law

Attar Ali

Can an integer completed-event fingerprint move between independently calibrated matter-wave configurations exactly as the frozen transport law requires? \[ \boxed{ \begin{gathered} v_B=\Lambda_{AB}v_A,\qquad \Lambda_{AB}=\frac{L_Bd_A^2\mathcal B_A}{L_Ad_B^2\mathcal B_B},\\ N_{\Gamma,n}^{(B)}(\Lambda_{AB}v)=N_{\Gamma,n}^{(A)}(v),\qquad F_n^{(B)}(\Lambda_{AB}v)=F_n^{(A)}(v). \end{gathered}} \] 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: 1.1 State: Source transport theorem closed; Stage-0 test sealed; configuration pair and physical target not activated; observation pending Concept DOI: 10.5281/zenodo.22282943 Author: Ali Attar, ORCID 0009-0008-9931-2691 This is the separate Test B companion to the single-configuration Fourth-Face Talbot-Lau preregistration. Test A remains unchanged. Test B asks a harder question: if a completed-event visibility fingerprint is real, does the entire integer structure move to the new velocity coordinates fixed by a controlled change of source mass, grating separation, or grating period? The registered source branch is n = 1 with kappaA = kappaB = 1. It contains zero target-fitted QTT parameters. Each of fourteen physical target components is built by inserting the frozen A7U factor inside the independently calibrated complex Talbot/environment kernel before taking the modulus. A source-only curve may never substitute for that physical prediction. The experiment must pass two pre-data design gates: \[ R_0\ge5,\qquad R_{\rm move}\ge5. \] The first requires at least five-sigma projected separation from the ordinary null. The second requires at least five-sigma projected separation from a frozen competitor in which the same source-shaped feature stays at the old laboratory velocity coordinates. The configuration pair is selected deterministically from a complete candidate ledger using calibration-only inputs. Arbitrary post-data polynomial nuisances, fitted amplitudes, branch changes, and pair shopping are forbidden. The sealed fork is ordinary null versus transported A7U target versus non-migrating source-shaped competitor. Every activation field defaults false. An unactivated, underpowered, incorrectly mapped, or incompletely calibrated run returns INELIGIBLE_NO_THEORY_VERDICT; once every gate passes, a null remains a real scoped falsifier. A first primary match is only GREEN-TRANSPORT-CANDIDATE. Hard green requires the same frozen result in a sequestered holdout or a preregistered third configuration or species. This test directly adjudicates the A7U completed-event migration law. A stronger interpretation as a measurement of the Access-Law projector weight requires the additional frozen camera identities W†MW = Pa and Cobs = (1 - eta)Cu + eta Ca in both configurations. Without that certificate, the A7U verdict remains valid and the Access-Law eta verdict remains ineligible. The Pedalino sodium-nanoparticle experiment establishes the relevant platform class with more than 7,000 atoms, masses above 170,000 Da, and a three-grating optical Talbot-Lau interferometer. Its public archive does not execute this prospectively frozen two-configuration test. The published quantum and classical contrast curves also share one fitted global factor of 0.78, so that archive cannot identify a constant extra sector by itself. QTT is a speculative new theory. This record publishes a parameter-free prospective discriminator, full schemas, blind audit, adversarial mutation tests, protocol seal, and reconstruction source. It reports no observation and makes no claim of direct metrology of the completed-event four-volume. Scientific anchors: Single-configuration Fourth-Face Talbot-Lau Test A A7U Molecular Visibility Transport A7U source framework Quantum Traction Theory: Main Book Pedalino et al., Nature experiment Public experimental archive QTT Observatory · DOI map

•Sep 3, 2026•1 citation

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

Attar Ali

A7U: Distributed Planck Bundles, Access-Relative Purity, and the Matter-Wave Visibility Bridge Version: 2.02Master concept DOI: 10.5281/zenodo.20097247Current deposited version DOI: 10.5281/zenodo.20793911Author: Ali AttarWebsite: quantumtraction.org This paper gives the v2.02 upgrade of A7U, the Quantum Traction Theory (QTT) same-universe completion reading of Axiom A7. Canonical A7 says that each active world-cell address \(w\) closes a \(2\pi\) modular budget. A7U says that the complement of a laboratory member is not an exile outside reality and not an adjustable hidden reservoir. It is the unresolved visible modular share of the other co-members of the same completed \(w\)-bundle. The core statement is: \[ \text{no absolute purity under incomplete access;} \qquad \text{relational purity is allowed when access closes over }w . \] The complete distributed bundle is pure; an incomplete external access cut sees a projection. Version 2.02 adds the reference-spectrum layer explicitly. The paper now distinguishes three objects that were too easy to merge: the completed distributed bundle, the access projector, and the chamber reference spectrum \(\omega_{S,w}^{\rm A7U}\). Once that spectrum is locked by the source ledger, the access floor is a finite optimization problem. What remains pending is the universal source theorem that prints the correct spectrum for every matter-wave chamber from A1--A7 without importing the observed visibility. The v2.02 reference-spectrum object is: \[ \omega_{S,w}^{\rm A7U} = \frac{\mathcal R_{S,w}^{\rm A7U}} {\operatorname{Tr}(\mathcal R_{S,w}^{\rm A7U})}, \qquad \mathcal R_{S,w}^{\rm A7U} = M_{O,S,w}\, \mathcal C_{A7}(w)\, \mathcal K_{A6}(w)\, \mathcal A_{A5}(w)\, M_{O,S,w}. \] Here \(\mathcal A_{A5}\), \(\mathcal K_{A6}\), and \(\mathcal C_{A7}\) denote, respectively, the finite address co-membership, capacity-throughput, and modular closure matrices of the chamber. They are constructor-side objects, not fitted visibility residuals. Locked-spectrum floor theorem: \[ \delta_{\omega}^{\rm A7U}(s) = 1- \max_{\rho\in\mathcal C_{\omega}(s)} \operatorname{Tr}(\rho^2), \] where \[ \mathcal C_{\omega}(s) = \left\{ \rho\ge0,\ \operatorname{Tr}\rho=1,\ \rho\in\mathcal A_{\rm acc}(S,w,O),\ D(\rho\|\omega)=s \right\}. \] Thus, once \(\omega\), \(s\), and the access-admissible chamber are printed from the source ledger, the access floor is a finite optimization problem. No-smuggling firewall: \[ \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial V_j^{\rm obs}} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial A_b} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial \lambda_{\rm CSL}} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial \gamma_{\rm env}} =0. \] Experiments may read the spectrum through visibility. They may not write the spectrum by leaving an adjustable row inside the constructor. v2.02 master equation: \[ \begin{gathered} Q_w^{\rm bundle} = \sum_{k\in\mathcal B(w)}Q_{k,w}^{\rm vis} = 2\pi, \\[0.35em] \omega_{S,w}^{\rm A7U} = \frac{ M_{O,S,w}\mathcal C_{A7}(w)\mathcal K_{A6}(w) \mathcal A_{A5}(w)M_{O,S,w} }{ \operatorname{Tr}\!\left[ M_{O,S,w}\mathcal C_{A7}(w)\mathcal K_{A6}(w) \mathcal A_{A5}(w)M_{O,S,w} \right] }, \\[0.35em] \rho^{(O)}_{S|w} = \frac{M_{O,S,w}\rho_{\mathcal B(w)}M_{O,S,w}} {\operatorname{Tr}(M_{O,S,w}\rho_{\mathcal B(w)})}, \qquad \eta_{O,S,w} = \operatorname{Tr}(\rho M_{O,S,w}), \\[0.35em] \delta_{\rm access}^{\rm A7U}(\omega) = 1- \max_{\rho\in\mathcal C_{\omega}(s)} \operatorname{Tr}(\rho^2), \\[0.35em] V_{\rm path} \le \sqrt{1-2\delta_{\rm path}^{\rm A7U}}, \qquad s_j = \log V_j^{\rm obs} - \log V_j^{\rm QM} - \left\langle \log V^{\rm obs} - \log V^{\rm QM} \right\rangle_b . \end{gathered} \] Plainly: the completed \(w\)-bundle is pure; the incomplete access projection is generally mixed; a matter-wave experiment can test only the identifiable shape left after ordinary apparatus contrast is removed. Main status labels: A7U-INCOMPLETE-ACCESS-MIXEDNESS-CLOSED A7U-NO-GAP-OBSTRUCTION-CLOSED A7U-MM-REFERENCE-FLOOR-CONDITIONAL-CLOSED A7U-RS-GRAMMAR-CLOSED A7U-LOCKED-SPECTRUM-FLOOR-CLOSED A7U-PATH-QUBIT-VISIBILITY-BRIDGE-CLOSED A7U-MATTER-WAVE-CORPUS-CONSTRAINT-ONLY A7U-G-REFERENCE-SPECTRUM-PENDING The paper is intentionally conservative about matter-wave data. Existing public Arndt/Pedalino matter-wave data are treated as valuable constraints and controls, not as a green A7U floor measurement. A future green matter-wave result requires a source-printed nonconstant A7U shape, independent apparatus contrast handling, and a blind comparison against calibrated residuals. Included files: PDF paper, Version 2.02 LaTeX source

•Jun 22, 2026•0 citations

Artian's Completed-Record Fan-Out and Timing-Access Reference Framework

Attar Ali

A timing signature is not physics until its reference operator survives a representation audit. \[ \boxed{ \mathcal C_V^\star=F_R^2, \qquad \mathcal U_T^\star=1-F_R^2, \qquad \mathcal C_V^\star+\mathcal U_T^\star=1 } \] This framework separates three objects that must not be merged: a completed historical event, the record support still accessible to a laboratory, and a separately calibrated timing observable. Standard quantum theory closes the optimized coherent-recovery envelope. QTT adds a distinct, falsifiable timing complement only after a physical intertwining certificate proves that the laboratory record operator and the central timing projector are the same physical object in two representations. A public 11,009-trace test of explanatory burden Version 1.4 executes the complete usable public archive associated with Gosling et al., Probing the memory of a superconducting qubit environment. Every trace is split chronologically into training, a discarded guard interval, and held-out testing. The ordinary one-TLS Solomon camera learns two rates per trace, while the memoryless comparator learns one. \[ \boxed{ \operatorname{median}\!\left( \frac{\mathrm{RMSE}_{0}-\mathrm{RMSE}_{\rm TLS}} {\mathrm{RMSE}_{0}} \right)=0.36015, \qquad P(\mathrm{TLS\ wins})=\frac{10{,}169}{11{,}009}=0.92370 } \] The fitted TLS camera is therefore a successful held-out effective model. Its resolved trajectory is not a parameter-free derivation: the values of \(\Gamma_q\) and \(\Gamma_{qt}\) are learned from each target-bearing trace's training segment. Version 1.4 makes that distinction machine-auditable through the target-fit burden vector \[ \boxed{ \mathbf B_M=(N_c,N_d,N_w,N_n,N_u,N_h), \qquad \mathbf B_M\ne\mathbf0 \Longrightarrow \text{the fitted output is not derived parameter-free.} } \] The QTT result A public QTT source statement from 12 November 2025, before the Gosling preprint, already required complete reset to erase distributed record support beyond the visible carrier. That statement contains no Gosling-fitted rate, hidden-mode count, target window, or trajectory coefficient. The resulting comparative verdict is \[ \boxed{ \texttt{QTT-ZERO-FIT-SOURCE-EXPLANATORY-VICTORY} \;/\; \texttt{TRAJECTORY-VERDICT-OPEN}. } \] This is a scientific victory at the source/ontology layer, not a claim that QTT has already predicted the same resolved qubit trajectory. The stronger same-observable verdict remains locked because the public archive does not independently provide the residual record fidelity \(F_{\rm res}\), leakage diagnostic \(D\), timing complement \(\mathcal U_T\), or physical intertwiner \(W\). The paper prints the exact next experiment that would close or falsify that bridge. Reproducibility 11,009 row-level held-out results are included. The 840 traces favoring or tying the memoryless camera are retained. No false significance is assigned to correlated sweep windows. All three official archive objects pass their published MD5 checks. The release verifier passes 30/30 scientific and provenance checks. Three adversarial reviews cover observable equality, leakage and selection, chronology, and claim scope. Version: 1.4 Concept DOI: 10.5281/zenodo.21902886 Author: Ali Attar Website: quantumtraction.org Reader anchors Completed-record timing blind test Dynamic-circuit record-timing extension Observation as Access Quantum Traction Theory: Main Book Gosling public data archive The PDF is the default preview. The reconstruction archive contains the LaTeX source, row-level CSV, public-data integrity receipt, chronology certificate, fit-burden certificate, analysis scripts, exact source checks, adversarial and render audits, metadata, and checksum manifest.

•Aug 12, 2026•2 citations

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

Attar Ali

A7U is a parameter-free extension of Quantum Traction Theory's bundled-existence axiom A7. Canonical A7 says each active world-cell address closes a fixed 2π modular budget and carries a complete Planck bundle. A7U removes the last hidden-sector ambiguity: the complement of any local visible particle is not an arbitrary unseen substance, but the visible modular share of the other A5-entangled co-members of the same w-bundle. The full distributed bundle is exactly pure; every strict laboratory subsystem is exactly mixed. The headline theorem is the no-pure-particle theorem: a laboratory can prepare states with arbitrarily high operational purity in an accessible subspace, but no single elementary particle is ever the complete pure object. Exact purity belongs only to the full distributed Planck bundle. This gives QTT a parameter-free replacement for collapse-model rates, environmental spectral-density knobs, pointer-basis selection rules, ultraviolet regulators, zero-point counterterms, and arbitrary geometry-noise amplitudes. Space fluctuations are reframed as zero-sum modular-share reshuffling across w-co-members. In the ordinary local-readout sector these fluctuations are capacity-bounded, local-marginal preserving, and unable to deliver free energy, but they appear as vacuum stress fluctuations, Casimir boundary shifts, residual purity floors, and low-redshift cosmological drift anisotropies. Engineered w-address information transfer, if discovered, is treated as a future frontier sector rather than a falsifier of distributed existence. The paper provides: (i) the formal axiom A7U.1–A7U.5; (ii) the no-pure-particle theorem; (iii) a reduction-to-A7 theorem ensuring corpus-loyal extension of every prior QTT result; (iv) a correlation-safe Shapley modular-share formula; (v) two conjectures on the variational floor (uniform positive, closed form), with the closed-form floor identified as the load-bearing target for the next paper; (vi) capacity-correct space/vacuum/Casimir fluctuation bounds; (vii) a six-step falsifier ladder with the headline empirical edge "no exact pure particle, ever"; and (viii) a published-data test target identified in the Arndt-group Talbot–Lau matter-wave interferometry corpus. The empirical falsifier: any certified ontic-pure laboratory single-particle state falsifies A7U. Current best certified single-system purities are O(0.999), well above the regime where A7U predicts a residual floor.

•May 9, 2026•19 citations

Observation as Access: A Quantum Traction Theory Dissolution of the Measurement Problem

Attar Ali

When does a laboratory record belong to the source, and when does it belong to the measurement camera? Stable concept DOI: 10.5281/zenodo.20114403 The paper's native algebra starts from a completed-address access law, not from a fitted collapse rate: \[ [\hat X,\hat P]=J\hbar(I-\hat M_w),\qquad \eta=\operatorname{Tr}(\rho\hat M_w),\qquad \Delta X\,\Delta P\geq\frac{\hbar}{2}(1-\eta). \] Observation is exact source-observer address co-location. Measurement is that event plus a calibrated pointer and a durable redundant record. Conditional Lüders projection is recovered as the laboratory description of the completed record; no stochastic collapse force, localization length, observer trigger, or target-fitted measurement coefficient is introduced. Version 11.0 closes the operational object behind the Access Law. A coherent-survival kernel and a positive unital address-centralization map construct a lawful central effect: \[ A_w(\mathfrak L) =I-Z_w\!\left[K_{\rm coh}(\mathfrak L)^\dagger K_{\rm coh}(\mathfrak L)\right], \qquad 0\preceq A_w\preceq I, \qquad \eta=\operatorname{Tr}(\rho A_w). \] For a complete physical instrument, the same independently constructed effect family carries an exact information identity, a thermodynamic work ceiling, and the registered uncertainty floor: \[ i_A=\frac1N I(K{:}Q),\qquad 0\le i_A\le\frac1N\sum_j h_2(\eta_j)\le h_2(\bar\eta), \] \[ w_E\le\bar w_R+\int_{s_R-i_A}^{s_R}T(s)\,ds, \qquad \Delta X_j\,\Delta P_j\ge\frac{\hbar}{2}(1-\eta_j). \] The theorem also proves \(i_A\neq\eta\) in general. An observed work gain cannot be inverted into a convenient QTT operator. The kernel, centralization map, complete instrument, and physical label transport must be frozen before either target is opened. When \(A_w^2=A_w=A_w^\dagger\), the original Central-Projector Representation Theorem is recovered exactly; no sharp result is retired. Retrospective receipt: 8,407/8,407 deterministic checks pass. Published information-thermodynamic work data and an independent finite-chain reconstruction confirm the standard state-plus-access work architecture. They do not by themselves test the QTT commutator. Prospective discriminator: the QTT-exclusive common-effect cross-lock is frozen in the Same-Central-Effect Work-Quadrature Loop Preregistration. It reads the work quadrature and coherent loop from one hardware module with no target feedback. Scientific result: a QTT zero-fit source-explanatory victory for the measurement ontology and common access object. The standard information-theory components retain their standard ownership; the completed-address source law, central effect constructor, and same-effect cross-lock are QTT-native. Version 11.0: 58 pages; named effect-level theorem; exact sharp-projector recovery; scalar-inversion no-go; retrospective access-work audit; prospective same-effect test bridge; three adversarial reviews passed.

•Sep 2, 2026•0 citations
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
Can a finite Talbot chamber produce a nonconstant visibility shape after the ordinary interferometer kernel is frozen? H0: y⊥=0,HA7U: y⊥=Pprofgphys,grphys= log⁡∣∫ΔvrWr(v)B1QM/env(v)F1A7U(v) dv∫ΔvrWr(v)B1QM/env(v) dv∣, ∂gphys∂y=0. \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}} H0​:HA7U​:grphys​=​ y⊥​=0, y⊥​=Pprof​gphys, log​∫Δvr​​Wr​(v)B1QM/env​(v)dv∫Δvr​​Wr​(v)B1QM/env​(v)F1A7U​(v)dv​​, ∂y∂gphys​=0.​​ Version: 1.2 State: Stage-0 sealed; physical target activation pending; observation pending Concept DOI: 10.5281/zenodo.22010227 Author: Ali Attar, ORCID 0009-0008-9931-2691 Version note: v1.2 is an append-only source-projector-camera scope upgrade. The historical v1.0.1 branch, source equations, seven-bin vector, thresholds, PDF hash, and protocol-seal hash remain preserved. The v1.1 calibration-orthogonality gate also remains unchanged. The new outer wrapper separates the sealed A7U source-harmonic verdict from any stronger interpretation as a measurement of the central Access-Law projector weight. 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 Δn(v)=∥n2hLd2mv∥Z,NΓ,n=⌈Δn−1⌉,FnA7U=1−2κn2NΓ,n(1−1NΓ,n). \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)}. Δn​(v)=​n2d2mvhL​​Z​,NΓ,n​=⌈Δn−1​⌉,FnA7U​=1−2κn​NΓ,n​2​(1−NΓ,n​1​)​. 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†MW=Pa,Cnobs=(1−η)Cn,u+ηCn,a,∂(W,M,Cn,u,Cn,a)∂y=0. 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. W†MW=Pa​,Cnobs​=(1−η)Cn,u​+ηCn,a​,∂y∂(W,M,Cn,u​,Cn,a​)​=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 Uphys=[1,∂θ1log⁡∣Bˉ10∣,…],Rsenscal=(Pphysgphys)T(PphysΣPphysT)+(Pphysgphys)≥5. 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. Uphys​=[1,∂θ1​​log∣Bˉ10​∣,…],Rsenscal​=(Pphys​gphys)T(Pphys​ΣPphysT​)+(Pphys​gphys)​≥5. 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
Can an integer completed-event fingerprint move between independently calibrated matter-wave configurations exactly as the frozen transport law requires? vB=ΛABvA,ΛAB=LBdA2BALAdB2BB,NΓ,n(B)(ΛABv)=NΓ,n(A)(v),Fn(B)(ΛABv)=Fn(A)(v). \boxed{ \begin{gathered} v_B=\Lambda_{AB}v_A,\qquad \Lambda_{AB}=\frac{L_Bd_A^2\mathcal B_A}{L_Ad_B^2\mathcal B_B},\\ N_{\Gamma,n}^{(B)}(\Lambda_{AB}v)=N_{\Gamma,n}^{(A)}(v),\qquad F_n^{(B)}(\Lambda_{AB}v)=F_n^{(A)}(v). \end{gathered}} vB​=ΛAB​vA​,ΛAB​=LA​dB2​BB​LB​dA2​BA​​,NΓ,n(B)​(ΛAB​v)=NΓ,n(A)​(v),Fn(B)​(ΛAB​v)=Fn(A)​(v).​​ 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: 1.1 State: Source transport theorem closed; Stage-0 test sealed; configuration pair and physical target not activated; observation pending Concept DOI: 10.5281/zenodo.22282943 Author: Ali Attar, ORCID 0009-0008-9931-2691 This is the separate Test B companion to the single-configuration Fourth-Face Talbot-Lau preregistration. Test A remains unchanged. Test B asks a harder question: if a completed-event visibility fingerprint is real, does the entire integer structure move to the new velocity coordinates fixed by a controlled change of source mass, grating separation, or grating period? The registered source branch is n = 1 with kappaA = kappaB = 1. It contains zero target-fitted QTT parameters. Each of fourteen physical target components is built by inserting the frozen A7U factor inside the independently calibrated complex Talbot/environment kernel before taking the modulus. A source-only curve may never substitute for that physical prediction. The experiment must pass two pre-data design gates: R0≥5,Rmove≥5. R_0\ge5,\qquad R_{\rm move}\ge5. R0​≥5,Rmove​≥5. The first requires at least five-sigma projected separation from the ordinary null. The second requires at least five-sigma projected separation from a frozen competitor in which the same source-shaped feature stays at the old laboratory velocity coordinates. The configuration pair is selected deterministically from a complete candidate ledger using calibration-only inputs. Arbitrary post-data polynomial nuisances, fitted amplitudes, branch changes, and pair shopping are forbidden. The sealed fork is ordinary null versus transported A7U target versus non-migrating source-shaped competitor. Every activation field defaults false. An unactivated, underpowered, incorrectly mapped, or incompletely calibrated run returns INELIGIBLE_NO_THEORY_VERDICT; once every gate passes, a null remains a real scoped falsifier. A first primary match is only GREEN-TRANSPORT-CANDIDATE. Hard green requires the same frozen result in a sequestered holdout or a preregistered third configuration or species. This test directly adjudicates the A7U completed-event migration law. A stronger interpretation as a measurement of the Access-Law projector weight requires the additional frozen camera identities W†MW = Pa and Cobs = (1 - eta)Cu + eta Ca in both configurations. Without that certificate, the A7U verdict remains valid and the Access-Law eta verdict remains ineligible. The Pedalino sodium-nanoparticle experiment establishes the relevant platform class with more than 7,000 atoms, masses above 170,000 Da, and a three-grating optical Talbot-Lau interferometer. Its public archive does not execute this prospectively frozen two-configuration test. The published quantum and classical contrast curves also share one fitted global factor of 0.78, so that archive cannot identify a constant extra sector by itself. QTT is a speculative new theory. This record publishes a parameter-free prospective discriminator, full schemas, blind audit, adversarial mutation tests, protocol seal, and reconstruction source. It reports no observation and makes no claim of direct metrology of the completed-event four-volume. Scientific anchors: Single-configuration Fourth-Face Talbot-Lau Test A A7U Molecular Visibility Transport A7U source framework Quantum Traction Theory: Main Book Pedalino et al., Nature experiment Public experimental archive QTT Observatory · DOI map
A7U: Distributed Planck Bundles, Access-Relative Purity, and the Matter-Wave Visibility Bridge Version: 2.02Master concept DOI: 10.5281/zenodo.20097247Current deposited version DOI: 10.5281/zenodo.20793911Author: Ali AttarWebsite: quantumtraction.org This paper gives the v2.02 upgrade of A7U, the Quantum Traction Theory (QTT) same-universe completion reading of Axiom A7. Canonical A7 says that each active world-cell address www closes a 2π2\pi2π modular budget. A7U says that the complement of a laboratory member is not an exile outside reality and not an adjustable hidden reservoir. It is the unresolved visible modular share of the other co-members of the same completed www-bundle. The core statement is: no absolute purity under incomplete access;relational purity is allowed when access closes over w. \text{no absolute purity under incomplete access;} \qquad \text{relational purity is allowed when access closes over }w . no absolute purity under incomplete access;relational purity is allowed when access closes over w. The complete distributed bundle is pure; an incomplete external access cut sees a projection. Version 2.02 adds the reference-spectrum layer explicitly. The paper now distinguishes three objects that were too easy to merge: the completed distributed bundle, the access projector, and the chamber reference spectrum ωS,wA7U\omega_{S,w}^{\rm A7U}ωS,wA7U​. Once that spectrum is locked by the source ledger, the access floor is a finite optimization problem. What remains pending is the universal source theorem that prints the correct spectrum for every matter-wave chamber from A1--A7 without importing the observed visibility. The v2.02 reference-spectrum object is: ωS,wA7U=RS,wA7UTr⁡(RS,wA7U),RS,wA7U=MO,S,w CA7(w) KA6(w) AA5(w) MO,S,w. \omega_{S,w}^{\rm A7U} = \frac{\mathcal R_{S,w}^{\rm A7U}} {\operatorname{Tr}(\mathcal R_{S,w}^{\rm A7U})}, \qquad \mathcal R_{S,w}^{\rm A7U} = M_{O,S,w}\, \mathcal C_{A7}(w)\, \mathcal K_{A6}(w)\, \mathcal A_{A5}(w)\, M_{O,S,w}. ωS,wA7U​=Tr(RS,wA7U​)RS,wA7U​​,RS,wA7U​=MO,S,w​CA7​(w)KA6​(w)AA5​(w)MO,S,w​. Here AA5\mathcal A_{A5}AA5​, KA6\mathcal K_{A6}KA6​, and CA7\mathcal C_{A7}CA7​ denote, respectively, the finite address co-membership, capacity-throughput, and modular closure matrices of the chamber. They are constructor-side objects, not fitted visibility residuals. Locked-spectrum floor theorem: δωA7U(s)=1−max⁡ρ∈Cω(s)Tr⁡(ρ2), \delta_{\omega}^{\rm A7U}(s) = 1- \max_{\rho\in\mathcal C_{\omega}(s)} \operatorname{Tr}(\rho^2), δωA7U​(s)=1−maxρ∈Cω​(s)​Tr(ρ2), where Cω(s)={ρ≥0, Tr⁡ρ=1, ρ∈Aacc(S,w,O), D(ρ∥ω)=s}. \mathcal C_{\omega}(s) = \left\{ \rho\ge0,\ \operatorname{Tr}\rho=1,\ \rho\in\mathcal A_{\rm acc}(S,w,O),\ D(\rho\|\omega)=s \right\}. Cω​(s)={ρ≥0, Trρ=1, ρ∈Aacc​(S,w,O), D(ρ∥ω)=s}. Thus, once ω\omegaω, sss, and the access-admissible chamber are printed from the source ledger, the access floor is a finite optimization problem. No-smuggling firewall: ∂ωS,wA7U∂Vjobs=∂ωS,wA7U∂Ab=∂ωS,wA7U∂λCSL=∂ωS,wA7U∂γenv=0. \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial V_j^{\rm obs}} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial A_b} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial \lambda_{\rm CSL}} = \frac{\partial\omega_{S,w}^{\rm A7U}}{\partial \gamma_{\rm env}} =0. ∂Vjobs​∂ωS,wA7U​​=∂Ab​∂ωS,wA7U​​=∂λCSL​∂ωS,wA7U​​=∂γenv​∂ωS,wA7U​​=0. Experiments may read the spectrum through visibility. They may not write the spectrum by leaving an adjustable row inside the constructor. v2.02 master equation: Qwbundle=∑k∈B(w)Qk,wvis=2π,ωS,wA7U=MO,S,wCA7(w)KA6(w)AA5(w)MO,S,wTr⁡ ⁣[MO,S,wCA7(w)KA6(w)AA5(w)MO,S,w],ρS∣w(O)=MO,S,wρB(w)MO,S,wTr⁡(MO,S,wρB(w)),ηO,S,w=Tr⁡(ρMO,S,w),δaccessA7U(ω)=1−max⁡ρ∈Cω(s)Tr⁡(ρ2),Vpath≤1−2δpathA7U,sj=log⁡Vjobs−log⁡VjQM−⟨log⁡Vobs−log⁡VQM⟩b. \begin{gathered} Q_w^{\rm bundle} = \sum_{k\in\mathcal B(w)}Q_{k,w}^{\rm vis} = 2\pi, \\[0.35em] \omega_{S,w}^{\rm A7U} = \frac{ M_{O,S,w}\mathcal C_{A7}(w)\mathcal K_{A6}(w) \mathcal A_{A5}(w)M_{O,S,w} }{ \operatorname{Tr}\!\left[ M_{O,S,w}\mathcal C_{A7}(w)\mathcal K_{A6}(w) \mathcal A_{A5}(w)M_{O,S,w} \right] }, \\[0.35em] \rho^{(O)}_{S|w} = \frac{M_{O,S,w}\rho_{\mathcal B(w)}M_{O,S,w}} {\operatorname{Tr}(M_{O,S,w}\rho_{\mathcal B(w)})}, \qquad \eta_{O,S,w} = \operatorname{Tr}(\rho M_{O,S,w}), \\[0.35em] \delta_{\rm access}^{\rm A7U}(\omega) = 1- \max_{\rho\in\mathcal C_{\omega}(s)} \operatorname{Tr}(\rho^2), \\[0.35em] V_{\rm path} \le \sqrt{1-2\delta_{\rm path}^{\rm A7U}}, \qquad s_j = \log V_j^{\rm obs} - \log V_j^{\rm QM} - \left\langle \log V^{\rm obs} - \log V^{\rm QM} \right\rangle_b . \end{gathered} Qwbundle​=k∈B(w)∑​Qk,wvis​=2π,ωS,wA7U​=Tr[MO,S,w​CA7​(w)KA6​(w)AA5​(w)MO,S,w​]MO,S,w​CA7​(w)KA6​(w)AA5​(w)MO,S,w​​,ρS∣w(O)​=Tr(MO,S,w​ρB(w)​)MO,S,w​ρB(w)​MO,S,w​​,ηO,S,w​=Tr(ρMO,S,w​),δaccessA7U​(ω)=1−ρ∈Cω​(s)max​Tr(ρ2),Vpath​≤1−2δpathA7U​​,sj​=logVjobs​−logVjQM​−⟨logVobs−logVQM⟩b​.​ Plainly: the completed www-bundle is pure; the incomplete access projection is generally mixed; a matter-wave experiment can test only the identifiable shape left after ordinary apparatus contrast is removed. Main status labels: A7U-INCOMPLETE-ACCESS-MIXEDNESS-CLOSED A7U-NO-GAP-OBSTRUCTION-CLOSED A7U-MM-REFERENCE-FLOOR-CONDITIONAL-CLOSED A7U-RS-GRAMMAR-CLOSED A7U-LOCKED-SPECTRUM-FLOOR-CLOSED A7U-PATH-QUBIT-VISIBILITY-BRIDGE-CLOSED A7U-MATTER-WAVE-CORPUS-CONSTRAINT-ONLY A7U-G-REFERENCE-SPECTRUM-PENDING The paper is intentionally conservative about matter-wave data. Existing public Arndt/Pedalino matter-wave data are treated as valuable constraints and controls, not as a green A7U floor measurement. A future green matter-wave result requires a source-printed nonconstant A7U shape, independent apparatus contrast handling, and a blind comparison against calibrated residuals. Included files: PDF paper, Version 2.02 LaTeX source
A timing signature is not physics until its reference operator survives a representation audit. CV⋆=FR2,UT⋆=1−FR2,CV⋆+UT⋆=1 \boxed{ \mathcal C_V^\star=F_R^2, \qquad \mathcal U_T^\star=1-F_R^2, \qquad \mathcal C_V^\star+\mathcal U_T^\star=1 } CV⋆​=FR2​,UT⋆​=1−FR2​,CV⋆​+UT⋆​=1​ This framework separates three objects that must not be merged: a completed historical event, the record support still accessible to a laboratory, and a separately calibrated timing observable. Standard quantum theory closes the optimized coherent-recovery envelope. QTT adds a distinct, falsifiable timing complement only after a physical intertwining certificate proves that the laboratory record operator and the central timing projector are the same physical object in two representations. A public 11,009-trace test of explanatory burden Version 1.4 executes the complete usable public archive associated with Gosling et al., Probing the memory of a superconducting qubit environment. Every trace is split chronologically into training, a discarded guard interval, and held-out testing. The ordinary one-TLS Solomon camera learns two rates per trace, while the memoryless comparator learns one. median⁡ ⁣(RMSE0−RMSETLSRMSE0)=0.36015,P(TLS wins)=10,16911,009=0.92370 \boxed{ \operatorname{median}\!\left( \frac{\mathrm{RMSE}_{0}-\mathrm{RMSE}_{\rm TLS}} {\mathrm{RMSE}_{0}} \right)=0.36015, \qquad P(\mathrm{TLS\ wins})=\frac{10{,}169}{11{,}009}=0.92370 } median(RMSE0​RMSE0​−RMSETLS​​)=0.36015,P(TLS wins)=11,00910,169​=0.92370​ The fitted TLS camera is therefore a successful held-out effective model. Its resolved trajectory is not a parameter-free derivation: the values of Γq\Gamma_qΓq​ and Γqt\Gamma_{qt}Γqt​ are learned from each target-bearing trace's training segment. Version 1.4 makes that distinction machine-auditable through the target-fit burden vector BM=(Nc,Nd,Nw,Nn,Nu,Nh),BM≠0⟹the fitted output is not derived parameter-free. \boxed{ \mathbf B_M=(N_c,N_d,N_w,N_n,N_u,N_h), \qquad \mathbf B_M\ne\mathbf0 \Longrightarrow \text{the fitted output is not derived parameter-free.} } BM​=(Nc​,Nd​,Nw​,Nn​,Nu​,Nh​),BM​=0⟹the fitted output is not derived parameter-free.​ The QTT result A public QTT source statement from 12 November 2025, before the Gosling preprint, already required complete reset to erase distributed record support beyond the visible carrier. That statement contains no Gosling-fitted rate, hidden-mode count, target window, or trajectory coefficient. The resulting comparative verdict is QTT-ZERO-FIT-SOURCE-EXPLANATORY-VICTORY  /  TRAJECTORY-VERDICT-OPEN. \boxed{ \texttt{QTT-ZERO-FIT-SOURCE-EXPLANATORY-VICTORY} \;/\; \texttt{TRAJECTORY-VERDICT-OPEN}. } QTT-ZERO-FIT-SOURCE-EXPLANATORY-VICTORY/TRAJECTORY-VERDICT-OPEN.​ This is a scientific victory at the source/ontology layer, not a claim that QTT has already predicted the same resolved qubit trajectory. The stronger same-observable verdict remains locked because the public archive does not independently provide the residual record fidelity FresF_{\rm res}Fres​, leakage diagnostic DDD, timing complement UT\mathcal U_TUT​, or physical intertwiner WWW. The paper prints the exact next experiment that would close or falsify that bridge. Reproducibility 11,009 row-level held-out results are included. The 840 traces favoring or tying the memoryless camera are retained. No false significance is assigned to correlated sweep windows. All three official archive objects pass their published MD5 checks. The release verifier passes 30/30 scientific and provenance checks. Three adversarial reviews cover observable equality, leakage and selection, chronology, and claim scope. Version: 1.4 Concept DOI: 10.5281/zenodo.21902886 Author: Ali Attar Website: quantumtraction.org Reader anchors Completed-record timing blind test Dynamic-circuit record-timing extension Observation as Access Quantum Traction Theory: Main Book Gosling public data archive The PDF is the default preview. The reconstruction archive contains the LaTeX source, row-level CSV, public-data integrity receipt, chronology certificate, fit-burden certificate, analysis scripts, exact source checks, adversarial and render audits, metadata, and checksum manifest.
A7U is a parameter-free extension of Quantum Traction Theory's bundled-existence axiom A7. Canonical A7 says each active world-cell address closes a fixed 2π modular budget and carries a complete Planck bundle. A7U removes the last hidden-sector ambiguity: the complement of any local visible particle is not an arbitrary unseen substance, but the visible modular share of the other A5-entangled co-members of the same w-bundle. The full distributed bundle is exactly pure; every strict laboratory subsystem is exactly mixed. The headline theorem is the no-pure-particle theorem: a laboratory can prepare states with arbitrarily high operational purity in an accessible subspace, but no single elementary particle is ever the complete pure object. Exact purity belongs only to the full distributed Planck bundle. This gives QTT a parameter-free replacement for collapse-model rates, environmental spectral-density knobs, pointer-basis selection rules, ultraviolet regulators, zero-point counterterms, and arbitrary geometry-noise amplitudes. Space fluctuations are reframed as zero-sum modular-share reshuffling across w-co-members. In the ordinary local-readout sector these fluctuations are capacity-bounded, local-marginal preserving, and unable to deliver free energy, but they appear as vacuum stress fluctuations, Casimir boundary shifts, residual purity floors, and low-redshift cosmological drift anisotropies. Engineered w-address information transfer, if discovered, is treated as a future frontier sector rather than a falsifier of distributed existence. The paper provides: (i) the formal axiom A7U.1–A7U.5; (ii) the no-pure-particle theorem; (iii) a reduction-to-A7 theorem ensuring corpus-loyal extension of every prior QTT result; (iv) a correlation-safe Shapley modular-share formula; (v) two conjectures on the variational floor (uniform positive, closed form), with the closed-form floor identified as the load-bearing target for the next paper; (vi) capacity-correct space/vacuum/Casimir fluctuation bounds; (vii) a six-step falsifier ladder with the headline empirical edge "no exact pure particle, ever"; and (viii) a published-data test target identified in the Arndt-group Talbot–Lau matter-wave interferometry corpus. The empirical falsifier: any certified ontic-pure laboratory single-particle state falsifies A7U. Current best certified single-system purities are O(0.999), well above the regime where A7U predicts a residual floor.
When does a laboratory record belong to the source, and when does it belong to the measurement camera? Stable concept DOI: 10.5281/zenodo.20114403 The paper's native algebra starts from a completed-address access law, not from a fitted collapse rate: [X^,P^]=Jℏ(I−M^w),η=Tr⁡(ρM^w),ΔX ΔP≥ℏ2(1−η). [\hat X,\hat P]=J\hbar(I-\hat M_w),\qquad \eta=\operatorname{Tr}(\rho\hat M_w),\qquad \Delta X\,\Delta P\geq\frac{\hbar}{2}(1-\eta). [X^,P^]=Jℏ(I−M^w​),η=Tr(ρM^w​),ΔXΔP≥2ℏ​(1−η). Observation is exact source-observer address co-location. Measurement is that event plus a calibrated pointer and a durable redundant record. Conditional Lüders projection is recovered as the laboratory description of the completed record; no stochastic collapse force, localization length, observer trigger, or target-fitted measurement coefficient is introduced. Version 11.0 closes the operational object behind the Access Law. A coherent-survival kernel and a positive unital address-centralization map construct a lawful central effect: Aw(L)=I−Zw ⁣[Kcoh(L)†Kcoh(L)],0⪯Aw⪯I,η=Tr⁡(ρAw). A_w(\mathfrak L) =I-Z_w\!\left[K_{\rm coh}(\mathfrak L)^\dagger K_{\rm coh}(\mathfrak L)\right], \qquad 0\preceq A_w\preceq I, \qquad \eta=\operatorname{Tr}(\rho A_w). Aw​(L)=I−Zw​[Kcoh​(L)†Kcoh​(L)],0⪯Aw​⪯I,η=Tr(ρAw​). For a complete physical instrument, the same independently constructed effect family carries an exact information identity, a thermodynamic work ceiling, and the registered uncertainty floor: iA=1NI(K:Q),0≤iA≤1N∑jh2(ηj)≤h2(ηˉ), i_A=\frac1N I(K{:}Q),\qquad 0\le i_A\le\frac1N\sum_j h_2(\eta_j)\le h_2(\bar\eta), iA​=N1​I(K:Q),0≤iA​≤N1​∑j​h2​(ηj​)≤h2​(ηˉ​), wE≤wˉR+∫sR−iAsRT(s) ds,ΔXj ΔPj≥ℏ2(1−ηj). w_E\le\bar w_R+\int_{s_R-i_A}^{s_R}T(s)\,ds, \qquad \Delta X_j\,\Delta P_j\ge\frac{\hbar}{2}(1-\eta_j). wE​≤wˉR​+∫sR​−iA​sR​​T(s)ds,ΔXj​ΔPj​≥2ℏ​(1−ηj​). The theorem also proves iA≠ηi_A\neq\etaiA​=η in general. An observed work gain cannot be inverted into a convenient QTT operator. The kernel, centralization map, complete instrument, and physical label transport must be frozen before either target is opened. When Aw2=Aw=Aw†A_w^2=A_w=A_w^\daggerAw2​=Aw​=Aw†​, the original Central-Projector Representation Theorem is recovered exactly; no sharp result is retired. Retrospective receipt: 8,407/8,407 deterministic checks pass. Published information-thermodynamic work data and an independent finite-chain reconstruction confirm the standard state-plus-access work architecture. They do not by themselves test the QTT commutator. Prospective discriminator: the QTT-exclusive common-effect cross-lock is frozen in the Same-Central-Effect Work-Quadrature Loop Preregistration. It reads the work quadrature and coherent loop from one hardware module with no target feedback. Scientific result: a QTT zero-fit source-explanatory victory for the measurement ontology and common access object. The standard information-theory components retain their standard ownership; the completed-address source law, central effect constructor, and same-effect cross-lock are QTT-native. Version 11.0: 58 pages; named effect-level theorem; exact sharp-projector recovery; scalar-inversion no-go; retrospective access-work audit; prospective same-effect test bridge; three adversarial reviews passed.