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Completed-Event Transport: A Reproducible Record-Deletion Benchmark on Trapped-Ion Data

Attar Ali

Published Sep 25, 2026• 0 citations
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Abstract

Testing how retained measurement records determine prediction performance \[\boxed{p(y,r\mid C)=\frac12\langle y|E_r(C)|y\rangle,\qquad \mathcal R_S-\mathcal R_R=\mathbb E[(q_R-q_S)^2]\ge0.}\] How much predictive information survives when earlier detector records are hidden? This two-platform empirical paper connects qualified completed-event transport to explicit joint probabilities, fixed information-deletion rules and measured prediction performance. In the superconducting recurrence archive, retaining four earlier measurements raises fifth-outcome prediction accuracy from 73.2183% to 82.2774%, across all 495 settings and 19.8 million archived trials. The gain over the latest reading alone is 2.4895 percentage points. No outcome probabilities, noise rates, gate angles or contrast normalizations are fitted. All seven record selections, unsupported histories and adverse settings are retained, and confidence calibration is evaluated separately from accuracy. The complete trapped-ion benchmark is preserved: 32,000 tree records from 6,400 hardware shots, five strengths, seven masks and 30 nested comparisons. Its primary calibration p=0.0862 and complementary p=0.0189 are both reported. The two experiments' sampling units and uncertainties are not pooled. The paper is written for scientists new to Quantum Traction Theory. A boxed fourth-face energy-capacity identity explains the proposed source picture; the additional transport, composition and sampling premises needed to construct detector predictions are stated. The archives test the resulting record instruments, not the factor 4 pi or a fundamental length directly. The displayed joint law describes the ion preparation-inference task; a sequential branch law handles recurrence, with the same prediction-loss identity. The matched ordinary quantum instruments have identical probabilities and the same zero outcome-fit burden. These are retrospective, reproducible source-to-record benchmarks, not a claim of experimental separation. A calibration-first follow-up specifies how an independently source-selected apparatus input could add predictive content. The reconstruction ZIP includes editable source, all derived probabilities and scores, checksum-pinned data acquisition, independent score checks and a complete two-platform replay. The PDF is the primary reading copy. Experimental archives: Feng and colleagues and Liu, Tornow, Kessler and Barkai. Source dependencies: Completed-Event Transport, Completed-Event Four-Capacity and Physical Contact Selection. Corpus navigation: DOI Map.

DOI
10.5281/zenodo.22962169

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Fields and Waves from Completed Events: A QTT Source-to-Observation Reconstruction

Attar Ali

How finite source updates become interference, field equations and detector records \[ \boxed{\begin{gathered} s_{n+1}=U_A s_n,\qquad U_A^T U_A=I,\\ p_y(n)=\|K_{y,R}U_A^n s_0\|^2,\\ \sum_y K_{y,R}^T K_{y,R}=I. \end{gathered}} \] Localized completed-event transport reaches the receiver The source exponential now has a derived map into the local two-tick phase history. In the qualified free-source and local-history receiver class: \[ \begin{gathered} \delta\Phi_R(N)=B_R D_A U_A^N\delta s,\\ D_AU_A^N=L_A^N D_A,\\ \operatorname{supp}(D_A\delta s)\subseteq A,\\ d_{\rm addr}(A,R)>N\\ \Longrightarrow\quad \delta\Phi_R(N)=0,\\ p_y^+(N)=p_y^-(N). \end{gathered} \] Here D_A is derived from the inherited recurrence, L_A is its radius-one history update, and B_R reads a declared address window. The complete instrument includes missed events. The paper supplies an exact one-rail example with probabilities one and zero inside the preparation region, and a leakage bound for imperfect localization. It also proves the infinite multidimensional compact-band obstruction and retains the nonlocal canonical-receiver counterexample. This is a scoped causal readout theorem, not universal interacting-field microcausality or a new experimental signal. \[ \operatorname{TV}(p_R^+,p_R^-)\le \min\{1,2\kappa_{R,N}\epsilon_{R,N}\}. \] The preparation leakage and finite response norm must be independently fixed; they cannot be fitted to absorb detector results. All inherited scientific content remains, with 2,161 further deterministic checks and 16 adversarial mutations in a third reproducibility module. The QTT construction written explicitly The admitted free-source law can be written directly as counted real-phase evolution followed by physical receiver access: \[ \begin{gathered} \Phi_R(N\widetilde t_A)=C_R\mathcal U_A(N)s_0,\\ \mathcal U_A(N)=\exp[-2NJ\arcsin\sqrt{Q_A}],\\ Q_A=Q\oplus Q,\qquad 0\le Q\le I,\\ Q=(-\Delta_A/4)|_{\mathcal H_{A6}},\\ J^2=-I,\quad J^T=-J,\quad[J,Q_A]=0,\\ N\in\mathbb N_0. \end{gathered} \] The paper proves exact equivalence to its inherited finite block propagator at every nonnegative integer source tick, including both spectral endpoints. Q is the address operator restricted to the A6-admitted band; its direct sum acts on both real dial components. The receiver and completed-event source retain their physical qualification conditions. The construction is exact in the stated coherent massless free-packet sector, not an assertion that every interacting field has this free law. QTT constructs wave and field behaviour from a finite source: real phase dials, admitted updates and completed receiver records. The paper carries that source through an exact two-path interference calculation, normalized sequential instruments and a quantitative detector-error bound. A smooth continuum field is not an additional starting substance in this construction. When does a field image contain enough information? A projected field has an autonomous linear update exactly when the source information it omits cannot feed back into view: \[ \begin{gathered} C_RU_A=V_RC_R\\ \Longleftrightarrow\\ U_A\ker C_R\subseteq\ker C_R. \end{gathered} \] Two worked sources have the same present retained image and opposite future output ports. The paper then constructs finite electromagnetic Gauss, Faraday and work balances, connects the inherited exact wave propagator to its smooth limit, and gives an A2 gravitational source reading. The reconstruction states its source metric, transport, instrument and count-completion premises explicitly. It distinguishes finite addresses from finitely many possible phase states, and physical source selection from mathematical representation. The ideal matched quantum calculation also requires no outcome fitting. The reconstruction archive includes full source, the scientific illustration, the inherited numerical tables and 1,109 deterministic checks with 15 mutation checks, plus 664 additional explicit-construction checks and 10 mutations. These are reproducible mathematical fixtures, not new experimental observations. The fixed finite-wave residual retains its separate laboratory-access and sensitivity requirements. Stable paper DOI · Wave Dynamics · Completed-Event Transport · Main Book · Corpus Tree

•Oct 20, 2026•0 citations

Artian's Completed-Event Bell Reconstruction: Real Source Geometry, Access, and Durable Records

Attar Ali

From a finite event record to Bell correlations and their loss under recording A pair is prepared together, read at two separated instruments, and allowed to leave a material record. This paper builds the correlation law from a real source geometry in Artian's Quantum Traction Theory. Its source-to-access equation is \[\boxed{p_K(r,s\mid\mathbf a,\mathbf b)=\frac{C\!\left[(\Pi_r(\mathbf a)\otimes\Pi_s(\mathbf b)\otimes I)K\Omega\right]}{C(K\Omega)}}\] Here C is an additive, basis-invariant event capacity, Omega is the normalized orientation-neutral two-channel source, K is a specified record contact, and the projectors select the two instrument outputs. A real quarter-turn and a qualified shared-reference composition generate the readout algebra. Capacity symmetry fixes its quadratic weight. A separately stated capacity-to-frequency condition connects that weight to laboratory counts. The correlation follows before the Bell comparison For a phase-compensated record contact with overlap g between its two normalized record profiles, the construction gives \[E_K(\mathbf a,\mathbf b)=-a_zb_z-g(a_xb_x+a_yb_y),\qquad 0\leq g\leq1.\] The intact-source limit is E = -a dot b. The same calculation yields the fixed-setting and optimized Bell responses: \[\boxed{S_{45}=\sqrt{2}(1+g),\qquad S_{\mathrm{opt}}=2\sqrt{1+g^2}.}\] Fresh independent record contacts multiply their overlaps. The paper derives the repeated-contact law, a capacity-based overlap calibration, uncertainty bounds, and a protocol that separates calibration from the Bell observations being judged. A source-first account with an explicit dependency map A1 supplies event-time labels and the clock-angle correspondence; A4 supplies the real dial; A5-X supplies completed-event support, with its inherited A6/A7 conditions. The two-channel preparation, balanced composition, capacity symmetry, frequency bridge, and record coupling are printed separately. Each theorem states exactly which conditions it uses. The Access uncertainty commutator is treated as a distinct inherited algebraic premise, rather than inferred from Bell correlations. When a receiver follows the source Version 2.0 constructs a matched receiver rather than assigning its transformation by name. Preserving every probability of the stated bilinear contact forces its transport to be the conjugate of the source transport, up to an overall phase: \[\boxed{|r^{\mathrm T}V^{\mathrm T}Us|^2=|r^{\mathrm T}s|^2\ \text{for all }r,s\quad\Longrightarrow\quad V=e^{i\alpha}\overline U.}\] A finite set of basis and sum probes certifies this relation. A robust extension converts imperfect probe probabilities into an operator-error bound. Finite clock and shift operations then produce the comparison loop \[\boxed{\mathcal L=M+\omega(I-M),\qquad \omega=e^{2\pi i/d}.}\] The matched sector cancels the comparison phase while the unmatched sector retains it. This is a joint comparison law; each local readout can remain incompatible. The paper identifies the binary loop's ambiguity, provides additional probes that distinguish it, and transfers the Bell correlations into a complete detector record when the original carrier is consumed. One contact, two observable roles A specified marker contact supplies both the Bell record overlap and a resolved weak-measurement instrument: \[\begin{aligned}\gamma&=\sin\theta,\\K_0&=\operatorname{diag}(\cos(\theta/2),\sin(\theta/2)),\\K_1&=\operatorname{diag}(\sin(\theta/2),\cos(\theta/2)).\end{aligned}\] An independent replay executes this instrument on all 40,032 tree records in the public Feng and colleagues archive, reproducing every stored decoder success/failure score. The main five-setting batch contains 32,000 records; the complete archive has six settings. The reproduced job-cluster residual probabilities are p = 0.0188753 and p = 0.0442603, respectively. These diagnose modest tension with the ideal instrument under the stated retrospective covariance. The matched QTT and quantum representations make the same archival predictions, so this replay is not a significance test between them. The package preserves the complete source-first Bell construction and adds finite receiver certificates, physical transport-error bounds, a common-contact derivation, five vector figures, a twelve-item achievements ledger, and offline reproducibility materials. The next operational question is precise: which independently qualified physical contact fixes both the record overlap and the receiver comparison response? Dependencies: QTT Main Book; finite address-capacity counting; real source histories and composition; A1-CHSH spinor character; Observation as Access.

•Sep 25, 2026•2 citations

QTT Physical Contact Selection and Predictive Transfer Theorem

Attar Ali

From independently qualified work to one interaction and several observations \[\boxed{L\ker B=\{0\}.}\] When does a device's independently specified work already determine its interaction? In a finite affine constructor, the answer is exact: every unresolved calibration direction must disappear from the observable interaction. The paper proves necessity and sufficiency, constructs a dual certificate, and counts the additional linear probes needed when selection fails. The QTT source-to-contact construction connects geometry, supported work, mode participation and the actual electrode waveform to a single coupling. That same coupling predicts one-excitation transfer, two-excitation redistribution, phase response and parity controls. A finite future-memory theorem identifies what must remain in the retained packet so that later operations cannot reveal something the model discarded. For independently specified insertion magnitudes, the cross-occupation prediction is \[P_{11}=\cos^2(F\Theta),\qquad F^2=f_{2,a}^2+f_{2,b}^2.\] For symmetric-slot modes, the corresponding frequency ratio obeys \[\boxed{\left(\frac{\Omega_2}{2\Omega_1}\right)^2=1-\frac{1}{2K_a}-\frac{1}{2K_b}.}\] Version 2.0 adds complete feasible-set selection, a harmonic three-dimensional drive, unequal-capacity transfer, and the full preparation-to-detector calculation. A cross-Kerr counterexample shows why a perfect one-excitation calibration alone cannot settle the two-excitation prediction. The package contains the manuscript, proofs, executable checks, synthetic examples and a reproducible audit of the public Hou trapped-ion tables. The selection and transfer results are proved within their stated finite classes. The canonical realization shares laboratory probabilities with matched microscopic quantum mechanics; finite-slot discrimination requires independently qualified physical capacities and instruments. The archive is a retrospective eligibility audit. The separate prospective test commits the measurement design before a laboratory supplies its physical capsule. Companion: Artian's Physical Contact Transfer Test. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.

•Sep 26, 2026•6 citations

Artian's Physical Contact Transfer Test

Attar Ali

A preregistered one- and two-excitation trapped-ion benchmark \[\boxed{p_\eta(\mathbf y\mid u)=\operatorname{Tr}[\mathcal I_{y_m,\eta}^{u_m}\circ\cdots\circ\mathcal I_{y_1,\eta}^{u_1}(\rho_\eta)].}\] One interaction, selected before the data, must predict several observations. This prospective trapped-ion protocol fixes one- and two-excitation time scans, relative-phase scans and an even-curvature null control. It uses 18 contexts, 62 complete raw-count coordinates and 900,000 initiated validation attempts. The same independently constructed contact supplies the time-transfer predictions \[p_{10\to01}=\sin^2\Theta,\qquad p_{11\to11}=\cos^2(F\Theta).\] Preparation, detector response, physical insertion class and uncertainty are frozen in a separately timestamped laboratory capsule before acquisition. No validation-fitted exchange frequency, capacity, phase origin or contrast is allowed. Failed attempts and null outcomes remain in the count denominators. A sensitivity gate prevents an unresponsive detector from passing. The finite-sample analysis has separate rejection, equivalence, inconclusive and ineligible decisions. Its total conditional false-rejection budget is 5.7330314376 × 10−7, numerically the conventional two-sided five-sigma tail. This is a design threshold, not a reported discovery. Successful equivalence requires every probability coordinate to meet a five-percentage-point tolerance. Design-stage preregistration. This deposit fixes the test today. Independent apparatus qualification, a public or verifiably escrowed Stage B capsule and new validation observations remain required. The canonical branch is shared with matched microscopic QM; a finite-slot comparison tests only the independently selected physical models. The package includes the protocol, frozen design, count analyzer, synthetic verification, deliberately incomplete laboratory templates and exact checksums. Companion: QTT Physical Contact Selection and Predictive Transfer Theorem. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.

•Sep 26, 2026•1 citation

Quantum Measurement under AASC

Amos Jay Maley Maley

Physical Sources, Finite Detectors, Persistent Records, and Actual Events This paper develops a unified account of quantum measurement under the Admissibility and Standing Constraint (AASC) framework, connecting constructed physical sources, quantum instruments, material amplification, finite record retention, event probabilities, and the actuality of measurement outcomes. The paper distinguishes three separate objects: a complete quantum instrument containing all outcome operations, including unresolved and failed outcomes; a material record carried by a physical system whose acquisition and retention can be analyzed; an actual history describing which occurrences belong to one original experimental run. A complete instrument and a persistent material record can be constructed without assuming that linear quantum dynamics alone selects one globally definite original-run history. Conversely, the admission of an actual event does not by itself determine its probability law or conditional quantum state. The physical construction contains two complementary measurement targets: a regulated interacting gauge–Higgs–fermion source with its full source Hamiltonian retained during finite receiver pulses; an explicitly parameterized six-mode cosine circuit with source and pump interfaces, losses, distinguishable outputs, a two-polarization intrinsic-spin receiver, and a finite energy-resolving thermal amplifier. The material-registration chain includes source-code loading, driven conversion, output registration, pump-displacement removal, transfer to an intrinsic material spin, finite Gibbs-collision amplification, endpoint reading, and quiet record retention. Electronic display labels, material flags, missed counts, dark displays, blanks, and unreadable outcomes remain distinct and are retained in the joint error ledger. The paper establishes: informative bounded receivers on an interacting quantum source; finite-pulse calibration with the complete source Hamiltonian retained; a complete monitored detector model; finite preparation and amplification bounds; coherent composition of instruments and records; adaptive record composition; local-instrument compatibility; calibrated affine probability uniqueness; sharp coherent calibration limits; sequential probability laws and compatible conditional states; explicit actual-history requirements. A finite Fourier residual certificate bounds the complete monitored detector instrument over its full \(35.587\ \mathrm{ms}\) interval by \(0.063241\) in restricted diamond norm. Exact interval arithmetic gives seeded amplifier endpoint fidelity greater than \(0.9999235242\) after 1,024 finite collisions, together with an explicit conditional survival bound for a subsequent \(100\ \mathrm{ms}\) quiet hold. The probability analysis shows that positivity, density-operator dependence, affinity under classical mixtures, and calibration fix the trace probability rule for the declared readout. Approximate sector calibration alone permits coherent deviations of order the square root of the calibration error; stronger linear bounds require additional structure. The paper’s central measurement-theoretic conclusion is deliberately separated from its successful detector construction. A complete instrument admits an exclusive-history completion, but linear quantum dynamics alone does not select one such history. Source-specific preparation, reader analysis, and a bounded counting-law completion supply the additional physical input required to select an actual history. The resulting framework substantially develops the material and probabilistic parts of quantum measurement while isolating apparatus errors, actual-history law, and event-selection assumptions as explicit obligations. The work does not claim to solve every interpretation of the measurement problem, derive a universal collapse law, establish unrestricted detector accuracy, or identify a finite calibration certificate with an experimental calibration. Principal contributions A unified source-to-detector account of quantum measurement. Constructed interacting quantum sources with finite receivers. Six-mode cosine-circuit detector realization. Material registration and finite amplification chain. Two-polarization intrinsic-spin receiver. Finite thermal collision and endpoint-reading model. Full-duration restricted diamond-norm detector bound. Interval-certified amplifier fidelity. Conditional quiet-hold survival bound. Retention of blanks, wrong, unreadable, and missed outcomes. Calibrated affine probability uniqueness. Sequential instruments and compatible conditional states. Explicit separation of complete instruments, material records, and actual histories. Source-specific conditions for actual-event selection. Complete physical error and assumption ledger.

•Sep 10, 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
Testing how retained measurement records determine prediction performance [\boxed{p(y,r\mid C)=\frac12\langle y|E_r(C)|y\rangle,\qquad \mathcal R_S-\mathcal R_R=\mathbb E[(q_R-q_S)^2]\ge0.}] How much predictive information survives when earlier detector records are hidden? This two-platform empirical paper connects qualified completed-event transport to explicit joint probabilities, fixed information-deletion rules and measured prediction performance. In the superconducting recurrence archive, retaining four earlier measurements raises fifth-outcome prediction accuracy from 73.2183% to 82.2774%, across all 495 settings and 19.8 million archived trials. The gain over the latest reading alone is 2.4895 percentage points. No outcome probabilities, noise rates, gate angles or contrast normalizations are fitted. All seven record selections, unsupported histories and adverse settings are retained, and confidence calibration is evaluated separately from accuracy. The complete trapped-ion benchmark is preserved: 32,000 tree records from 6,400 hardware shots, five strengths, seven masks and 30 nested comparisons. Its primary calibration p=0.0862 and complementary p=0.0189 are both reported. The two experiments' sampling units and uncertainties are not pooled. The paper is written for scientists new to Quantum Traction Theory. A boxed fourth-face energy-capacity identity explains the proposed source picture; the additional transport, composition and sampling premises needed to construct detector predictions are stated. The archives test the resulting record instruments, not the factor 4 pi or a fundamental length directly. The displayed joint law describes the ion preparation-inference task; a sequential branch law handles recurrence, with the same prediction-loss identity. The matched ordinary quantum instruments have identical probabilities and the same zero outcome-fit burden. These are retrospective, reproducible source-to-record benchmarks, not a claim of experimental separation. A calibration-first follow-up specifies how an independently source-selected apparatus input could add predictive content. The reconstruction ZIP includes editable source, all derived probabilities and scores, checksum-pinned data acquisition, independent score checks and a complete two-platform replay. The PDF is the primary reading copy. Experimental archives: Feng and colleagues and Liu, Tornow, Kessler and Barkai. Source dependencies: Completed-Event Transport, Completed-Event Four-Capacity and Physical Contact Selection. Corpus navigation: DOI Map.
How finite source updates become interference, field equations and detector records sn+1=UAsn,UATUA=I,py(n)=∥Ky,RUAns0∥2,∑yKy,RTKy,R=I. \boxed{\begin{gathered} s_{n+1}=U_A s_n,\qquad U_A^T U_A=I,\\ p_y(n)=\|K_{y,R}U_A^n s_0\|^2,\\ \sum_y K_{y,R}^T K_{y,R}=I. \end{gathered}} sn+1​=UA​sn​,UAT​UA​=I,py​(n)=∥Ky,R​UAn​s0​∥2,y∑​Ky,RT​Ky,R​=I.​​ Localized completed-event transport reaches the receiver The source exponential now has a derived map into the local two-tick phase history. In the qualified free-source and local-history receiver class: δΦR(N)=BRDAUANδs,DAUAN=LANDA,supp⁡(DAδs)⊆A,daddr(A,R)>N⟹δΦR(N)=0,py+(N)=py−(N). \begin{gathered} \delta\Phi_R(N)=B_R D_A U_A^N\delta s,\\ D_AU_A^N=L_A^N D_A,\\ \operatorname{supp}(D_A\delta s)\subseteq A,\\ d_{\rm addr}(A,R)>N\\ \Longrightarrow\quad \delta\Phi_R(N)=0,\\ p_y^+(N)=p_y^-(N). \end{gathered} δΦR​(N)=BR​DA​UAN​δs,DA​UAN​=LAN​DA​,supp(DA​δs)⊆A,daddr​(A,R)>N⟹δΦR​(N)=0,py+​(N)=py−​(N).​ Here D_A is derived from the inherited recurrence, L_A is its radius-one history update, and B_R reads a declared address window. The complete instrument includes missed events. The paper supplies an exact one-rail example with probabilities one and zero inside the preparation region, and a leakage bound for imperfect localization. It also proves the infinite multidimensional compact-band obstruction and retains the nonlocal canonical-receiver counterexample. This is a scoped causal readout theorem, not universal interacting-field microcausality or a new experimental signal. TV⁡(pR+,pR−)≤min⁡{1,2κR,NϵR,N}. \operatorname{TV}(p_R^+,p_R^-)\le \min\{1,2\kappa_{R,N}\epsilon_{R,N}\}. TV(pR+​,pR−​)≤min{1,2κR,N​ϵR,N​}. The preparation leakage and finite response norm must be independently fixed; they cannot be fitted to absorb detector results. All inherited scientific content remains, with 2,161 further deterministic checks and 16 adversarial mutations in a third reproducibility module. The QTT construction written explicitly The admitted free-source law can be written directly as counted real-phase evolution followed by physical receiver access: ΦR(Nt~A)=CRUA(N)s0,UA(N)=exp⁡[−2NJarcsin⁡QA],QA=Q⊕Q,0≤Q≤I,Q=(−ΔA/4)∣HA6,J2=−I,JT=−J,[J,QA]=0,N∈N0. \begin{gathered} \Phi_R(N\widetilde t_A)=C_R\mathcal U_A(N)s_0,\\ \mathcal U_A(N)=\exp[-2NJ\arcsin\sqrt{Q_A}],\\ Q_A=Q\oplus Q,\qquad 0\le Q\le I,\\ Q=(-\Delta_A/4)|_{\mathcal H_{A6}},\\ J^2=-I,\quad J^T=-J,\quad[J,Q_A]=0,\\ N\in\mathbb N_0. \end{gathered} ΦR​(NtA​)=CR​UA​(N)s0​,UA​(N)=exp[−2NJarcsinQA​​],QA​=Q⊕Q,0≤Q≤I,Q=(−ΔA​/4)∣HA6​​,J2=−I,JT=−J,[J,QA​]=0,N∈N0​.​ The paper proves exact equivalence to its inherited finite block propagator at every nonnegative integer source tick, including both spectral endpoints. Q is the address operator restricted to the A6-admitted band; its direct sum acts on both real dial components. The receiver and completed-event source retain their physical qualification conditions. The construction is exact in the stated coherent massless free-packet sector, not an assertion that every interacting field has this free law. QTT constructs wave and field behaviour from a finite source: real phase dials, admitted updates and completed receiver records. The paper carries that source through an exact two-path interference calculation, normalized sequential instruments and a quantitative detector-error bound. A smooth continuum field is not an additional starting substance in this construction. When does a field image contain enough information? A projected field has an autonomous linear update exactly when the source information it omits cannot feed back into view: CRUA=VRCR⟺UAker⁡CR⊆ker⁡CR. \begin{gathered} C_RU_A=V_RC_R\\ \Longleftrightarrow\\ U_A\ker C_R\subseteq\ker C_R. \end{gathered} CR​UA​=VR​CR​⟺UA​kerCR​⊆kerCR​.​ Two worked sources have the same present retained image and opposite future output ports. The paper then constructs finite electromagnetic Gauss, Faraday and work balances, connects the inherited exact wave propagator to its smooth limit, and gives an A2 gravitational source reading. The reconstruction states its source metric, transport, instrument and count-completion premises explicitly. It distinguishes finite addresses from finitely many possible phase states, and physical source selection from mathematical representation. The ideal matched quantum calculation also requires no outcome fitting. The reconstruction archive includes full source, the scientific illustration, the inherited numerical tables and 1,109 deterministic checks with 15 mutation checks, plus 664 additional explicit-construction checks and 10 mutations. These are reproducible mathematical fixtures, not new experimental observations. The fixed finite-wave residual retains its separate laboratory-access and sensitivity requirements. Stable paper DOI · Wave Dynamics · Completed-Event Transport · Main Book · Corpus Tree
From a finite event record to Bell correlations and their loss under recording A pair is prepared together, read at two separated instruments, and allowed to leave a material record. This paper builds the correlation law from a real source geometry in Artian's Quantum Traction Theory. Its source-to-access equation is pK(r,s∣a,b)=C ⁣[(Πr(a)⊗Πs(b)⊗I)KΩ]C(KΩ)\boxed{p_K(r,s\mid\mathbf a,\mathbf b)=\frac{C\!\left[(\Pi_r(\mathbf a)\otimes\Pi_s(\mathbf b)\otimes I)K\Omega\right]}{C(K\Omega)}}pK​(r,s∣a,b)=C(KΩ)C[(Πr​(a)⊗Πs​(b)⊗I)KΩ]​​ Here C is an additive, basis-invariant event capacity, Omega is the normalized orientation-neutral two-channel source, K is a specified record contact, and the projectors select the two instrument outputs. A real quarter-turn and a qualified shared-reference composition generate the readout algebra. Capacity symmetry fixes its quadratic weight. A separately stated capacity-to-frequency condition connects that weight to laboratory counts. The correlation follows before the Bell comparison For a phase-compensated record contact with overlap g between its two normalized record profiles, the construction gives EK(a,b)=−azbz−g(axbx+ayby),0≤g≤1.E_K(\mathbf a,\mathbf b)=-a_zb_z-g(a_xb_x+a_yb_y),\qquad 0\leq g\leq1.EK​(a,b)=−az​bz​−g(ax​bx​+ay​by​),0≤g≤1. The intact-source limit is E = -a dot b. The same calculation yields the fixed-setting and optimized Bell responses: S45=2(1+g),Sopt=21+g2.\boxed{S_{45}=\sqrt{2}(1+g),\qquad S_{\mathrm{opt}}=2\sqrt{1+g^2}.}S45​=2​(1+g),Sopt​=21+g2​.​ Fresh independent record contacts multiply their overlaps. The paper derives the repeated-contact law, a capacity-based overlap calibration, uncertainty bounds, and a protocol that separates calibration from the Bell observations being judged. A source-first account with an explicit dependency map A1 supplies event-time labels and the clock-angle correspondence; A4 supplies the real dial; A5-X supplies completed-event support, with its inherited A6/A7 conditions. The two-channel preparation, balanced composition, capacity symmetry, frequency bridge, and record coupling are printed separately. Each theorem states exactly which conditions it uses. The Access uncertainty commutator is treated as a distinct inherited algebraic premise, rather than inferred from Bell correlations. When a receiver follows the source Version 2.0 constructs a matched receiver rather than assigning its transformation by name. Preserving every probability of the stated bilinear contact forces its transport to be the conjugate of the source transport, up to an overall phase: ∣rTVTUs∣2=∣rTs∣2 for all r,s⟹V=eiαU‾.\boxed{|r^{\mathrm T}V^{\mathrm T}Us|^2=|r^{\mathrm T}s|^2\ \text{for all }r,s\quad\Longrightarrow\quad V=e^{i\alpha}\overline U.}∣rTVTUs∣2=∣rTs∣2 for all r,s⟹V=eiαU.​ A finite set of basis and sum probes certifies this relation. A robust extension converts imperfect probe probabilities into an operator-error bound. Finite clock and shift operations then produce the comparison loop L=M+ω(I−M),ω=e2πi/d.\boxed{\mathcal L=M+\omega(I-M),\qquad \omega=e^{2\pi i/d}.}L=M+ω(I−M),ω=e2πi/d.​ The matched sector cancels the comparison phase while the unmatched sector retains it. This is a joint comparison law; each local readout can remain incompatible. The paper identifies the binary loop's ambiguity, provides additional probes that distinguish it, and transfers the Bell correlations into a complete detector record when the original carrier is consumed. One contact, two observable roles A specified marker contact supplies both the Bell record overlap and a resolved weak-measurement instrument: γ=sin⁡θ,K0=diag⁡(cos⁡(θ/2),sin⁡(θ/2)),K1=diag⁡(sin⁡(θ/2),cos⁡(θ/2)).\begin{aligned}\gamma&=\sin\theta,\\K_0&=\operatorname{diag}(\cos(\theta/2),\sin(\theta/2)),\\K_1&=\operatorname{diag}(\sin(\theta/2),\cos(\theta/2)).\end{aligned}γK0​K1​​=sinθ,=diag(cos(θ/2),sin(θ/2)),=diag(sin(θ/2),cos(θ/2)).​ An independent replay executes this instrument on all 40,032 tree records in the public Feng and colleagues archive, reproducing every stored decoder success/failure score. The main five-setting batch contains 32,000 records; the complete archive has six settings. The reproduced job-cluster residual probabilities are p = 0.0188753 and p = 0.0442603, respectively. These diagnose modest tension with the ideal instrument under the stated retrospective covariance. The matched QTT and quantum representations make the same archival predictions, so this replay is not a significance test between them. The package preserves the complete source-first Bell construction and adds finite receiver certificates, physical transport-error bounds, a common-contact derivation, five vector figures, a twelve-item achievements ledger, and offline reproducibility materials. The next operational question is precise: which independently qualified physical contact fixes both the record overlap and the receiver comparison response? Dependencies: QTT Main Book; finite address-capacity counting; real source histories and composition; A1-CHSH spinor character; Observation as Access.
From independently qualified work to one interaction and several observations Lker⁡B={0}.\boxed{L\ker B=\{0\}.}LkerB={0}.​ When does a device's independently specified work already determine its interaction? In a finite affine constructor, the answer is exact: every unresolved calibration direction must disappear from the observable interaction. The paper proves necessity and sufficiency, constructs a dual certificate, and counts the additional linear probes needed when selection fails. The QTT source-to-contact construction connects geometry, supported work, mode participation and the actual electrode waveform to a single coupling. That same coupling predicts one-excitation transfer, two-excitation redistribution, phase response and parity controls. A finite future-memory theorem identifies what must remain in the retained packet so that later operations cannot reveal something the model discarded. For independently specified insertion magnitudes, the cross-occupation prediction is P11=cos⁡2(FΘ),F2=f2,a2+f2,b2.P_{11}=\cos^2(F\Theta),\qquad F^2=f_{2,a}^2+f_{2,b}^2.P11​=cos2(FΘ),F2=f2,a2​+f2,b2​. For symmetric-slot modes, the corresponding frequency ratio obeys (Ω22Ω1)2=1−12Ka−12Kb.\boxed{\left(\frac{\Omega_2}{2\Omega_1}\right)^2=1-\frac{1}{2K_a}-\frac{1}{2K_b}.}(2Ω1​Ω2​​)2=1−2Ka​1​−2Kb​1​.​ Version 2.0 adds complete feasible-set selection, a harmonic three-dimensional drive, unequal-capacity transfer, and the full preparation-to-detector calculation. A cross-Kerr counterexample shows why a perfect one-excitation calibration alone cannot settle the two-excitation prediction. The package contains the manuscript, proofs, executable checks, synthetic examples and a reproducible audit of the public Hou trapped-ion tables. The selection and transfer results are proved within their stated finite classes. The canonical realization shares laboratory probabilities with matched microscopic quantum mechanics; finite-slot discrimination requires independently qualified physical capacities and instruments. The archive is a retrospective eligibility audit. The separate prospective test commits the measurement design before a laboratory supplies its physical capsule. Companion: Artian's Physical Contact Transfer Test. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.
A preregistered one- and two-excitation trapped-ion benchmark pη(y∣u)=Tr⁡[Iym,ηum∘⋯∘Iy1,ηu1(ρη)].\boxed{p_\eta(\mathbf y\mid u)=\operatorname{Tr}[\mathcal I_{y_m,\eta}^{u_m}\circ\cdots\circ\mathcal I_{y_1,\eta}^{u_1}(\rho_\eta)].}pη​(y∣u)=Tr[Iym​,ηum​​∘⋯∘Iy1​,ηu1​​(ρη​)].​ One interaction, selected before the data, must predict several observations. This prospective trapped-ion protocol fixes one- and two-excitation time scans, relative-phase scans and an even-curvature null control. It uses 18 contexts, 62 complete raw-count coordinates and 900,000 initiated validation attempts. The same independently constructed contact supplies the time-transfer predictions p10→01=sin⁡2Θ,p11→11=cos⁡2(FΘ).p_{10\to01}=\sin^2\Theta,\qquad p_{11\to11}=\cos^2(F\Theta).p10→01​=sin2Θ,p11→11​=cos2(FΘ). Preparation, detector response, physical insertion class and uncertainty are frozen in a separately timestamped laboratory capsule before acquisition. No validation-fitted exchange frequency, capacity, phase origin or contrast is allowed. Failed attempts and null outcomes remain in the count denominators. A sensitivity gate prevents an unresponsive detector from passing. The finite-sample analysis has separate rejection, equivalence, inconclusive and ineligible decisions. Its total conditional false-rejection budget is 5.7330314376 × 10−7, numerically the conventional two-sided five-sigma tail. This is a design threshold, not a reported discovery. Successful equivalence requires every probability coordinate to meet a five-percentage-point tolerance. Design-stage preregistration. This deposit fixes the test today. Independent apparatus qualification, a public or verifiably escrowed Stage B capsule and new validation observations remain required. The canonical branch is shared with matched microscopic QM; a finite-slot comparison tests only the independently selected physical models. The package includes the protocol, frozen design, count analyzer, synthetic verification, deliberately incomplete laboratory templates and exact checksums. Companion: QTT Physical Contact Selection and Predictive Transfer Theorem. Source dependencies: Completed-Event Transport and Quantum Coherence; QTT Main Book. Independent experimental context: Hou et al., Nature Physics (2024). Browse the corpus. The main PDF is the preview; the ZIP contains the full reconstruction package.
Physical Sources, Finite Detectors, Persistent Records, and Actual Events This paper develops a unified account of quantum measurement under the Admissibility and Standing Constraint (AASC) framework, connecting constructed physical sources, quantum instruments, material amplification, finite record retention, event probabilities, and the actuality of measurement outcomes. The paper distinguishes three separate objects: a complete quantum instrument containing all outcome operations, including unresolved and failed outcomes; a material record carried by a physical system whose acquisition and retention can be analyzed; an actual history describing which occurrences belong to one original experimental run. A complete instrument and a persistent material record can be constructed without assuming that linear quantum dynamics alone selects one globally definite original-run history. Conversely, the admission of an actual event does not by itself determine its probability law or conditional quantum state. The physical construction contains two complementary measurement targets: a regulated interacting gauge–Higgs–fermion source with its full source Hamiltonian retained during finite receiver pulses; an explicitly parameterized six-mode cosine circuit with source and pump interfaces, losses, distinguishable outputs, a two-polarization intrinsic-spin receiver, and a finite energy-resolving thermal amplifier. The material-registration chain includes source-code loading, driven conversion, output registration, pump-displacement removal, transfer to an intrinsic material spin, finite Gibbs-collision amplification, endpoint reading, and quiet record retention. Electronic display labels, material flags, missed counts, dark displays, blanks, and unreadable outcomes remain distinct and are retained in the joint error ledger. The paper establishes: informative bounded receivers on an interacting quantum source; finite-pulse calibration with the complete source Hamiltonian retained; a complete monitored detector model; finite preparation and amplification bounds; coherent composition of instruments and records; adaptive record composition; local-instrument compatibility; calibrated affine probability uniqueness; sharp coherent calibration limits; sequential probability laws and compatible conditional states; explicit actual-history requirements. A finite Fourier residual certificate bounds the complete monitored detector instrument over its full 35.587 ms35.587\ \mathrm{ms}35.587 ms interval by 0.0632410.0632410.063241 in restricted diamond norm. Exact interval arithmetic gives seeded amplifier endpoint fidelity greater than 0.99992352420.99992352420.9999235242 after 1,024 finite collisions, together with an explicit conditional survival bound for a subsequent 100 ms100\ \mathrm{ms}100 ms quiet hold. The probability analysis shows that positivity, density-operator dependence, affinity under classical mixtures, and calibration fix the trace probability rule for the declared readout. Approximate sector calibration alone permits coherent deviations of order the square root of the calibration error; stronger linear bounds require additional structure. The paper’s central measurement-theoretic conclusion is deliberately separated from its successful detector construction. A complete instrument admits an exclusive-history completion, but linear quantum dynamics alone does not select one such history. Source-specific preparation, reader analysis, and a bounded counting-law completion supply the additional physical input required to select an actual history. The resulting framework substantially develops the material and probabilistic parts of quantum measurement while isolating apparatus errors, actual-history law, and event-selection assumptions as explicit obligations. The work does not claim to solve every interpretation of the measurement problem, derive a universal collapse law, establish unrestricted detector accuracy, or identify a finite calibration certificate with an experimental calibration. Principal contributions A unified source-to-detector account of quantum measurement. Constructed interacting quantum sources with finite receivers. Six-mode cosine-circuit detector realization. Material registration and finite amplification chain. Two-polarization intrinsic-spin receiver. Finite thermal collision and endpoint-reading model. Full-duration restricted diamond-norm detector bound. Interval-certified amplifier fidelity. Conditional quiet-hold survival bound. Retention of blanks, wrong, unreadable, and missed outcomes. Calibrated affine probability uniqueness. Sequential instruments and compatible conditional states. Explicit separation of complete instruments, material records, and actual histories. Source-specific conditions for actual-event selection. Complete physical error and assumption ledger.
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.