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Paper 32B: CHSH Evaluation of the Alice/Bob Timing Continua Real-Valued Correlators, Corridor Gating, and Window Dependence

Sarnowski, Michael

Published Dec 12, 2025• 0 citations
Publisher

Abstract

Paper 32B analyzes the public Weihs Alice/Bob archive with a focus on separating timing diagnostics from setting-resolved Bell-test statistics. The bluesine data are used as a timing-acceptance lane, showing a finite timing continuum with a central peak near zero offset, shoulders near plus or minus 10 nanoseconds, and a flat far-offset baseline. As the coincidence half-window widens from 3 to 5 to 7 nanoseconds, total coincidences increase while aggregate parity decreases, showing the expected throughput-versus-contrast tradeoff. The paper keeps this timing analysis separate from Bell-sector claims because bluesine does not provide a recoverable settings timeline. For the CHSH benchmark, the paper uses the longdist32 Coincidence Evaluation report, which includes setting-resolved correlators. The reported value is S = 2.702 plus or minus 0.078, which is well above the classical bound of 2 and below the Tsirelson bound of about 2.828. Raw longdist32 timetag scans are used only as timing and ingestion sanity checks, not as an independent reconstruction of CHSH. The result is a reproducible audit framework that separates timing-continuum validation, report-based CHSH benchmarking, and future raw-event reconstruction. The paper does not claim a new Bell bound, a proof of Holosphere theory, or evidence for superdeterminism; it establishes a disciplined baseline for later setting-resolved and theory-specific tests.

DOI
10.5281/zenodo.17907103

Related papers

Paper 32A: Timing Continua Meet Symmetry Selection From Weihs Peak–Shoulder–Cutoff to a T4–Math Selector on S2

Sarnowski, Michael

Paper 32A audits finite timing-continuum structure in the public Weihs Alice/Bob archive and explains why the coincidence-counting rule matters. Using the bluesine series, the paper reconstructs timing profiles for coincidence half-windows of 3, 5, and 7 nanoseconds. The profiles show a central timing peak near zero offset, shoulders near plus or minus 10 nanoseconds, and a flat far-offset baseline. A central result is that one-to-one matching and all-pairs matching require different statistics. Under one-to-one matching, each event is used at most once, so window parity remains a meaningful summary. Under all-pairs matching, the central bin can grow combinatorially because many Alice events can pair with many Bob events inside the same window. In that case, parity at zero offset can become misleading. The paper therefore replaces parity-at-zero with a full-profile shape statistic: a baseline plus three fixed spikes at zero and plus or minus 10 nanoseconds. The paper also presents a declared calibration model on S2 using a rail-squared target density. Because the selector equation explicitly relaxes toward this target, convergence is treated as a contractivity and calibration-stability check, not as an independent derivation of the target from the Weihs data. This paper does not claim a complete Bell-test analysis or a direct physical identification of Weihs events with the S2 selector. Its contribution is narrower: it establishes timing-profile governance, kernel-dependent statistic selection, and a reproducible calibration scaffold for future setting-resolved and null-model tests.

•Dec 5, 2025•0 citations

Paper 31B: Setting-Resolved Timing as a Discriminator for Corridor-Gated Coherence Applying the Paper 31 activation protocol to fast-switching Bell-test raw data

Michael Sarnowski

Paper 31B applies the Paper 31 activation protocol to a fast-switching, setting-explicit Bell-test dataset to test a discriminative corridor-gating claim: whether coincidence timing structure depends on setting compatibility itself, not only on detector identity or coincidence-window logic. Using NIST 2015 run3 raw server streams with explicit RNG-setting pulses and SYNC markers, we reconstruct per-trial settings, align Alice/Bob timebases via SYNC, and trialize the readout so each trial contributes at most one click per side (earliest click in a declared post-SYNC gate). We then compute setting-resolved coincidence curves C(τ∣A=a,B=b)C(\tau\mid A=a,B=b)C(τ∣A=a,B=b) for the four setting cells and the aggregates CORR(00+11) and ANTI(01+10), reporting audit-grade KPIs (τ\*\tau^\*τ\*, peak, τ50\tau_{50}τ50 bounds, knee width) under declared windows and scan ranges. On this dataset and scan domain, CORR and ANTI do not exhibit a decision-grade, policy-stable shape difference in timing-knee structure; the discriminator yields a constrained null at the stated resolution. The contribution is a governed, reproducible discriminator pipeline with concrete artifacts (curve CSVs, KPI table, manifest) that can be applied unchanged to other fast-switching datasets.

•Dec 26, 2025•0 citations

Bell Timing Audit: Code and Derived Data

Maximilian Ralph Peter von Liechtenstein

Public photon Bell-test records retain timing structure that is lost in aggregate statistics. This paper tests whether that structure survives quantitative response controls in three experimental archives. In the Weihs data, a rectangular contrast of four channel-pair timing centroids tests whether accepted signal delays can be written as a sum of local channel contributions. For longdist1, the contrast is 1.405 ns and 1.515 ns in disjoint chronological halves, with pointwise 95% block intervals [1.018, 1.791] ns and [1.193, 1.836] ns. Both survive the enumerated centroid scan under the specified 20-block inference at an 8-ns coincidence half-width and remain positive under clock, background, and gate checks. A flexible empirical timing model, however, transfers between chronological halves after clock-drift calibration. In the Christensen archive, the suppressed setting-pair channel is strongly enriched in coincidence tails, but a cross-fitted signal–accidental model predicts 714.6 of 730 counts beyond 300 ns; the residual is 15.4 counts with interval [−54.6, 85.3]. NIST timing-offset records exhibit a terminal-mask excess accompanied by an Alice-side singles-rate change and compatible with a separately calibrated local-setting mixture. The evidence separates reproducible structure, failure of an additive accepted-centroid model, and effects accommodated by explicit response controls. Finite coincidence selection and known switching-related populations prevent the centroid contrast alone from establishing intrinsic polarization–time coupling or a failure of quantum theory. Statistical scope. The analyses are exploratory. Coarser clustering weakens scan-adjusted significance: with ten blocks per half, the highlighted Weihs contrast has adjusted approximate p values of 0.087 and 0.014. The residual is specific to the accepted-centroid model and does not establish a discrepancy beyond all independently calibrated temporal-response models. Files and reproducibility. Bell_manuscript.pdf is the self-contained, 13-page preprint dated 30 October 2026. Bell_Reanalysis_Source.zip contains the editable LaTeX manuscript, numerical figure code, reconstruction and analysis scripts, derived records, source manifests and hashes, full comparison tables, calibration and sensitivity results, and reproduction instructions. The NIST analysis uses 60 prescribed samples of 500,000 trials, rather than complete runs. The full upstream Christensen archive and Weihs time-tag files are retrieved by the supplied fetchers and are not bundled. A clean internal rerun reproduced the checked numerical outputs exactly; external independent reproduction is not claimed. Publication status and assistance. This research preprint has not been peer reviewed. AI tools assisted programming, analysis, and manuscript preparation; responsibility for the work remains with the author. License scope. The manuscript and original figures are licensed under Creative Commons Attribution 4.0 International. Original analysis code is licensed under MIT. Third-party source data and derived excerpts retain applicable source terms and attribution; this deposit does not relicense upstream material.

•Jun 17, 2026•0 citations

Denominator-Audit Robustness Analysis for Bell/CHSH Statistics: A Reconciliation Study of Strict vs Standard Protocols

hui wang

We present a denominator-audit framework for Bell/CHSH statistics to disentangle mechanism effects from protocol-bookkeeping effects under a shared data context. The protocol compares strict and standard definitions in parallel and separates evaluation into an engineering gate (computability and basic data sufficiency) and a thesis gate (claim-level preregistered criteria). On the same NIST completeblind event stream, binary CHSH yields S_strict=2.336276 (window 0.0) and S_standard=2.839387 (window 15.0), i.e., Delta=+0.503111 from pairing-rule change alone. Bootstrap (n=2000) gives CI95_strict=[2.295151, 2.378669] and CI95_standard=[2.820420, 2.857413]; because 2sqrt(2)=2.828427 lies inside the standard CI, we do not claim Tsirelson violation. A simulated fallback run also shows that S_standard does not necessarily exceed S_strict, reinforcing protocol sensitivity. We report a method-level, boundary-aware conclusion: Bell/CHSH claims should be interpreted through protocol definitions, uncertainty intervals, and retained negative results, rather than peak statistics alone. Figures may be added in a subsequent version; current evidence is provided via tables and machine-readable result files.

•Apr 25, 2026•0 citations

How Clean Are Bell-Test Data? Classical Routes to S > 2, the Synchronisation Question, and an Auditability Standard

Dmitrii Stanislavovich Losinets, Viacheslav Agafurov

The reported violations of Bell inequalities are routinely read as an experimental refutation of local realism. This preprint asks how firmly the record supports that reading. We catalogue the classical routes by which a strictly local apparatus can report |S| > 2 - from outcome-dependent loss and coincidence-window selection (demonstrated in hardware) to synchronisation, electronics-level click shifts and analysis-parameter selection - and show that below the Eberhard efficiency the exact quantum correlation curve certifies nothing, being reproduced exactly by a known local detection model. We then define the first family-level synchronisation audit (plateau membership, bias index, sub-bound fraction), validate it on synthetic data with known ground truth, and execute it under preregistered protocols on three public archives. The raw Innsbruck record passes: across the full longdist series, every standard-configuration violation is a property of the raw data, not of the calibration. On the Delft event-ready data, a 50,000-member heralding-acceptance family answers the standing postselection critique: the violation is generic, not an acceptance choice. On the NIST 2015 record, an outsider reconstruction of the certified pipeline recovers the Bell geometry and gate optima but stalls at undisclosed cleaning parameters - a documented limit of third-party reproducibility. The programme distils into seven cleanliness criteria (C1–C7) for any dataset and eight provenance requirements (M1–M8) for future experiments. All figures and numbers are reproducible from the supplementary scripts (deterministic, fixed seeds, minutes on a laptop); raw data are fetched from the official public archives.

•Jul 8, 2026•0 citations

Centrality, Noncentral Selection, and the Scope of Bell–CHSH:

Emmerson, Parker

Bell--CHSH is frequently paraphrased as ``local realism is impossible'' after experimentalviolations of CHSH. The theorem is correct, but the paraphrase hides a structural assumption:\emph{selection centrality} (fair sampling), i.e.\ that the detected sample is not asetting- and hidden-variable--dependent reweighting of the hidden prior.We give a precise measure-theoretic separation between (i) the \emph{central} sector, where$E_{\mathrm{obs}}=E_{\mathrm{full}}$ and CHSH$\le 2$ holds under measurement independence and locality,and (ii) the \emph{noncentral} sector, where the observed correlations are computed under areweighted measure $d\nu_{a,b}=w(a,b,\lambda)\,d\rho$.We prove a sharp CHSH inflation bound\[S_{\mathrm{obs}}\le 2+4\delta,\qquad\delta:=\sup_{a,b}\int |w(a,b,\lambda)-1|\,\rho(d\lambda),\]so reproducing Tsirelson's $2\sqrt2$ by strictly local measurement-independent models via selectionrequires $\delta\ge (2\sqrt2-2)/4\approx0.2071$.We provide (A) a canonical Radon--Nikod\'ym construction (piecewise constants on sign regions plusa small positive remainder), (B) an explicit local factorized detection-loophole construction thatreproduces arbitrary finite correlation tables, and (C) an implementable optics protocol to estimateor upper-bound $\delta$ from time-tag data via window dithering, threshold and spectral sweeps, andauxiliary-tag binning.This paper critiques not the validity of Bell's theorem, but the common overstatement of what CHSHviolations imply without an explicit, quantitative centrality audit.

•Jan 1, 2025•0 citations
Paper 32B analyzes the public Weihs Alice/Bob archive with a focus on separating timing diagnostics from setting-resolved Bell-test statistics. The bluesine data are used as a timing-acceptance lane, showing a finite timing continuum with a central peak near zero offset, shoulders near plus or minus 10 nanoseconds, and a flat far-offset baseline. As the coincidence half-window widens from 3 to 5 to 7 nanoseconds, total coincidences increase while aggregate parity decreases, showing the expected throughput-versus-contrast tradeoff. The paper keeps this timing analysis separate from Bell-sector claims because bluesine does not provide a recoverable settings timeline. For the CHSH benchmark, the paper uses the longdist32 Coincidence Evaluation report, which includes setting-resolved correlators. The reported value is S = 2.702 plus or minus 0.078, which is well above the classical bound of 2 and below the Tsirelson bound of about 2.828. Raw longdist32 timetag scans are used only as timing and ingestion sanity checks, not as an independent reconstruction of CHSH. The result is a reproducible audit framework that separates timing-continuum validation, report-based CHSH benchmarking, and future raw-event reconstruction. The paper does not claim a new Bell bound, a proof of Holosphere theory, or evidence for superdeterminism; it establishes a disciplined baseline for later setting-resolved and theory-specific tests.
Paper 32A audits finite timing-continuum structure in the public Weihs Alice/Bob archive and explains why the coincidence-counting rule matters. Using the bluesine series, the paper reconstructs timing profiles for coincidence half-windows of 3, 5, and 7 nanoseconds. The profiles show a central timing peak near zero offset, shoulders near plus or minus 10 nanoseconds, and a flat far-offset baseline. A central result is that one-to-one matching and all-pairs matching require different statistics. Under one-to-one matching, each event is used at most once, so window parity remains a meaningful summary. Under all-pairs matching, the central bin can grow combinatorially because many Alice events can pair with many Bob events inside the same window. In that case, parity at zero offset can become misleading. The paper therefore replaces parity-at-zero with a full-profile shape statistic: a baseline plus three fixed spikes at zero and plus or minus 10 nanoseconds. The paper also presents a declared calibration model on S2 using a rail-squared target density. Because the selector equation explicitly relaxes toward this target, convergence is treated as a contractivity and calibration-stability check, not as an independent derivation of the target from the Weihs data. This paper does not claim a complete Bell-test analysis or a direct physical identification of Weihs events with the S2 selector. Its contribution is narrower: it establishes timing-profile governance, kernel-dependent statistic selection, and a reproducible calibration scaffold for future setting-resolved and null-model tests.
Paper 31B applies the Paper 31 activation protocol to a fast-switching, setting-explicit Bell-test dataset to test a discriminative corridor-gating claim: whether coincidence timing structure depends on setting compatibility itself, not only on detector identity or coincidence-window logic. Using NIST 2015 run3 raw server streams with explicit RNG-setting pulses and SYNC markers, we reconstruct per-trial settings, align Alice/Bob timebases via SYNC, and trialize the readout so each trial contributes at most one click per side (earliest click in a declared post-SYNC gate). We then compute setting-resolved coincidence curves C(τ∣A=a,B=b)C(\tau\mid A=a,B=b)C(τ∣A=a,B=b) for the four setting cells and the aggregates CORR(00+11) and ANTI(01+10), reporting audit-grade KPIs (τ\*\tau^\*τ\*, peak, τ50\tau_{50}τ50 bounds, knee width) under declared windows and scan ranges. On this dataset and scan domain, CORR and ANTI do not exhibit a decision-grade, policy-stable shape difference in timing-knee structure; the discriminator yields a constrained null at the stated resolution. The contribution is a governed, reproducible discriminator pipeline with concrete artifacts (curve CSVs, KPI table, manifest) that can be applied unchanged to other fast-switching datasets.
Public photon Bell-test records retain timing structure that is lost in aggregate statistics. This paper tests whether that structure survives quantitative response controls in three experimental archives. In the Weihs data, a rectangular contrast of four channel-pair timing centroids tests whether accepted signal delays can be written as a sum of local channel contributions. For longdist1, the contrast is 1.405 ns and 1.515 ns in disjoint chronological halves, with pointwise 95% block intervals [1.018, 1.791] ns and [1.193, 1.836] ns. Both survive the enumerated centroid scan under the specified 20-block inference at an 8-ns coincidence half-width and remain positive under clock, background, and gate checks. A flexible empirical timing model, however, transfers between chronological halves after clock-drift calibration. In the Christensen archive, the suppressed setting-pair channel is strongly enriched in coincidence tails, but a cross-fitted signal–accidental model predicts 714.6 of 730 counts beyond 300 ns; the residual is 15.4 counts with interval [−54.6, 85.3]. NIST timing-offset records exhibit a terminal-mask excess accompanied by an Alice-side singles-rate change and compatible with a separately calibrated local-setting mixture. The evidence separates reproducible structure, failure of an additive accepted-centroid model, and effects accommodated by explicit response controls. Finite coincidence selection and known switching-related populations prevent the centroid contrast alone from establishing intrinsic polarization–time coupling or a failure of quantum theory. Statistical scope. The analyses are exploratory. Coarser clustering weakens scan-adjusted significance: with ten blocks per half, the highlighted Weihs contrast has adjusted approximate p values of 0.087 and 0.014. The residual is specific to the accepted-centroid model and does not establish a discrepancy beyond all independently calibrated temporal-response models. Files and reproducibility. Bell_manuscript.pdf is the self-contained, 13-page preprint dated 30 October 2026. Bell_Reanalysis_Source.zip contains the editable LaTeX manuscript, numerical figure code, reconstruction and analysis scripts, derived records, source manifests and hashes, full comparison tables, calibration and sensitivity results, and reproduction instructions. The NIST analysis uses 60 prescribed samples of 500,000 trials, rather than complete runs. The full upstream Christensen archive and Weihs time-tag files are retrieved by the supplied fetchers and are not bundled. A clean internal rerun reproduced the checked numerical outputs exactly; external independent reproduction is not claimed. Publication status and assistance. This research preprint has not been peer reviewed. AI tools assisted programming, analysis, and manuscript preparation; responsibility for the work remains with the author. License scope. The manuscript and original figures are licensed under Creative Commons Attribution 4.0 International. Original analysis code is licensed under MIT. Third-party source data and derived excerpts retain applicable source terms and attribution; this deposit does not relicense upstream material.
We present a denominator-audit framework for Bell/CHSH statistics to disentangle mechanism effects from protocol-bookkeeping effects under a shared data context. The protocol compares strict and standard definitions in parallel and separates evaluation into an engineering gate (computability and basic data sufficiency) and a thesis gate (claim-level preregistered criteria). On the same NIST completeblind event stream, binary CHSH yields S_strict=2.336276 (window 0.0) and S_standard=2.839387 (window 15.0), i.e., Delta=+0.503111 from pairing-rule change alone. Bootstrap (n=2000) gives CI95_strict=[2.295151, 2.378669] and CI95_standard=[2.820420, 2.857413]; because 2sqrt(2)=2.828427 lies inside the standard CI, we do not claim Tsirelson violation. A simulated fallback run also shows that S_standard does not necessarily exceed S_strict, reinforcing protocol sensitivity. We report a method-level, boundary-aware conclusion: Bell/CHSH claims should be interpreted through protocol definitions, uncertainty intervals, and retained negative results, rather than peak statistics alone. Figures may be added in a subsequent version; current evidence is provided via tables and machine-readable result files.
The reported violations of Bell inequalities are routinely read as an experimental refutation of local realism. This preprint asks how firmly the record supports that reading. We catalogue the classical routes by which a strictly local apparatus can report |S| > 2 - from outcome-dependent loss and coincidence-window selection (demonstrated in hardware) to synchronisation, electronics-level click shifts and analysis-parameter selection - and show that below the Eberhard efficiency the exact quantum correlation curve certifies nothing, being reproduced exactly by a known local detection model. We then define the first family-level synchronisation audit (plateau membership, bias index, sub-bound fraction), validate it on synthetic data with known ground truth, and execute it under preregistered protocols on three public archives. The raw Innsbruck record passes: across the full longdist series, every standard-configuration violation is a property of the raw data, not of the calibration. On the Delft event-ready data, a 50,000-member heralding-acceptance family answers the standing postselection critique: the violation is generic, not an acceptance choice. On the NIST 2015 record, an outsider reconstruction of the certified pipeline recovers the Bell geometry and gate optima but stalls at undisclosed cleaning parameters - a documented limit of third-party reproducibility. The programme distils into seven cleanliness criteria (C1–C7) for any dataset and eight provenance requirements (M1–M8) for future experiments. All figures and numbers are reproducible from the supplementary scripts (deterministic, fixed seeds, minutes on a laptop); raw data are fetched from the official public archives.
Bell--CHSH is frequently paraphrased as ``local realism is impossible'' after experimentalviolations of CHSH. The theorem is correct, but the paraphrase hides a structural assumption:\emph{selection centrality} (fair sampling), i.e.\ that the detected sample is not asetting- and hidden-variable--dependent reweighting of the hidden prior.We give a precise measure-theoretic separation between (i) the \emph{central} sector, whereEobs=EfullE_{\mathrm{obs}}=E_{\mathrm{full}}Eobs​=Efull​ and CHSH≤2\le 2≤2 holds under measurement independence and locality,and (ii) the \emph{noncentral} sector, where the observed correlations are computed under areweighted measure dνa,b=w(a,b,λ) dρd\nu_{a,b}=w(a,b,\lambda)\,d\rhodνa,b​=w(a,b,λ)dρ.We prove a sharp CHSH inflation boundSobs≤2+4δ,δ:=sup⁡a,b∫∣w(a,b,λ)−1∣ ρ(dλ),S_{\mathrm{obs}}\le 2+4\delta,\qquad\delta:=\sup_{a,b}\int |w(a,b,\lambda)-1|\,\rho(d\lambda),Sobs​≤2+4δ,δ:=supa,b​∫∣w(a,b,λ)−1∣ρ(dλ),so reproducing Tsirelson's 222\sqrt222​ by strictly local measurement-independent models via selectionrequires δ≥(22−2)/4≈0.2071\delta\ge (2\sqrt2-2)/4\approx0.2071δ≥(22​−2)/4≈0.2071.We provide (A) a canonical Radon--Nikod\'ym construction (piecewise constants on sign regions plusa small positive remainder), (B) an explicit local factorized detection-loophole construction thatreproduces arbitrary finite correlation tables, and (C) an implementable optics protocol to estimateor upper-bound δ\deltaδ from time-tag data via window dithering, threshold and spectral sweeps, andauxiliary-tag binning.This paper critiques not the validity of Bell's theorem, but the common overstatement of what CHSHviolations imply without an explicit, quantitative centrality audit.