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

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-25
DOI
https://doi.org/10.5281/zenodo.22956937
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Artian's Completed-Event Bell Reconstruction: Real Source Geometry, Access, and Durable Records

Attar Ali
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

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

Attar Ali
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
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Quantum Mechanics and Applications
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