Bell–CHSH experiments across photonic, atomic, NV-center, and superconducting platforms over four decades constitute the empirical evidence base for quantum nonlocality. The substantial heterogeneity across these reports — different platforms, entangled states, detection efficiencies, loophole-closing strategies, and noise models — is a feature of the experimental program's diversity rather than a limitation of any individual experiment. We report a meta-scientific audit of the Bell–CHSH literature 1972–2025 (N = 121 strict-scope papers, n = 30 reporting both S and σ; PRISMA-style methodology), focused on the metadata accompanying the reported quantities rather than on the experiments themselves. Two reporting-practice patterns are documented. (i) The type of within-study uncertainty σ_S is unspecified in 40% of σ-reporting papers — statistical-only, systematic-inclusive, or 95% confidence interval form is not stated — and cross-study variance of S exceeds within-study σ by approximately two orders of magnitude (I² = 99.7%; τ ≈ 0.28 on the S scale). The audit cannot disambiguate among the physical sources of this heterogeneity (genuine platform-specific variability), the metadata sources (σ-composition incommensurability across reports), or their interaction, precisely because the metadata required for disambiguation is not consistently reported. (ii) Among n = 8 σ-reporting papers also reporting a visibility V, the textbook scope-conditional relation S = 2√2 V is consistent with the reports in 4 cases where V is operationally identifiable as polarization-correlation interference fringe visibility (including one case requiring human reclassification of an automated regex extraction failure), and deviates by 0.23–0.50 in 4 cases where V designates a different physical observable (Hong–Ou–Mandel dip visibility, classical threshold value, or unspecified semantics). The symbol V in the Bell–CHSH literature therefore designates at least three operationally distinct physical quantities. We propose a minimum metadata-reporting guideline addressing SPAM-uncertainty decomposition between statistical fluctuation and systematic offset, V operational definition, measurement settings disclosure, state-geometry context, and raw count data availability. The guideline is adoptable without additional experimental work and would render the cross-platform Bell–CHSH literature amenable to standardized reproducibility-infrastructure audit. This is a documentation-practice contribution to the reproducibility ecosystem of quantum information experimental physics; it does not challenge quantum mechanics, any individual experimental result, or any specific group's reporting choices.
Bell–CHSH experiments across photonic, atomic, NV-center, and superconducting platforms over four decades constitute the empirical evidence base for quantum nonlocality. The substantial heterogeneity across these reports — different platforms, entangled states, detection efficiencies, loophole-closing strategies, and noise models — is a feature of the experimental program's diversity rather than a limitation of any individual experiment. We report a meta-scientific audit of the Bell–CHSH literature 1972–2025 (N = 121 strict-scope papers, n = 30 reporting both S and σ; PRISMA-style methodology), focused on the metadata accompanying the reported quantities rather than on the experiments themselves. Two reporting-practice patterns are documented. (i) The type of within-study uncertainty σ_S is unspecified in 40% of σ-reporting papers — statistical-only, systematic-inclusive, or 95% confidence interval form is not stated — and cross-study variance of S exceeds within-study σ by approximately two orders of magnitude (I² = 99.7%; τ ≈ 0.28 on the S scale). The audit cannot disambiguate among the physical sources of this heterogeneity (genuine platform-specific variability), the metadata sources (σ-composition incommensurability across reports), or their interaction, precisely because the metadata required for disambiguation is not consistently reported. (ii) Among n = 8 σ-reporting papers also reporting a visibility V, the textbook scope-conditional relation S = 2√2 V is consistent with the reports in 4 cases where V is operationally identifiable as polarization-correlation interference fringe visibility (including one case requiring human reclassification of an automated regex extraction failure), and deviates by 0.23–0.50 in 4 cases where V designates a different physical observable (Hong–Ou–Mandel dip visibility, classical threshold value, or unspecified semantics). The symbol V in the Bell–CHSH literature therefore designates at least three operationally distinct physical quantities. We propose a minimum metadata-reporting guideline addressing SPAM-uncertainty decomposition between statistical fluctuation and systematic offset, V operational definition, measurement settings disclosure, state-geometry context, and raw count data availability. The guideline is adoptable without additional experimental work and would render the cross-platform Bell–CHSH literature amenable to standardized reproducibility-infrastructure audit. This is a documentation-practice contribution to the reproducibility ecosystem of quantum information experimental physics; it does not challenge quantum mechanics, any individual experimental result, or any specific group's reporting choices.
Abstract Cross-platform comparison of superconducting quantum devices requires statistical care because heterogeneous architectures implement qualitatively different transport mechanisms, couple to distinct microscopic loss channels, and typically operate in different temperature regimes. We present a methodological case study showing how aggregation of data across platforms can mask qualitatively different within-architecture temperature dependencies when platform identity is confounded with operating temperature. To enable controlled comparison, we introduce two scaling parameters: a dimensionless normalized temperature T∗=kBT/(hf) and a resistance-like decoherence parameter A=(hf/eIc)(lnQ/2π). We develop a detailed physical argument for why the baseline value of A is expected to be architecture-dependent, focusing on the distinct roles of Cooper-pair tunneling in SIS junctions, Andreev bound states in SNS junctions, ferromagnetic layer effects in SIsFS devices, and confinement effects in nanowire junctions. Applying this framework to published data from five distinct junction architectures (Transmon SIS, conventional SIS, SIsFS, planar SNS, and nanowire SNS; N=23 points from five independent studies), we find that the pooled dataset exhibits a weak positive correlation between A and T∗ (r=0.085, p=0.70). However, when stratified by architecture, within-group correlations reveal qualitatively different temperature dependencies: SIsFS shows strong positive dependence (308.4±22.6Ω, p=0.047), planar SNS shows strong positive dependence (205.6±11.6Ω, p=0.036), while transmons show near-zero dependence (−7.2±17.3Ω, p=0.688). Two architectures show positive slopes that reach statistical significance despite small samples (n=3 each), though these results are sensitive to individual data points (see Appendix C). Analysis of variance confirms that architecture explains the dominant share of variance (ANOVA F4,18=670.7, p<0.0001; ICC ≈0.98). Decomposition of A reveals that the 1/Ic term accounts for the factor-of-6.6 variation across architectures (r=−0.94 with logIc), while the lnQ term varies by only 30\%. We argue that these observations are physically expected from architecture-specific transport and loss mechanisms, and we outline experimental designs with overlapping temperature sweeps that could disentangle temperature dependence from platform identity in future benchmarking efforts. All data, extraction uncertainties, and analysis code are provided in the appendices to ensure reproducibility.
This article develops an expanded critical–propositional analysis of Gregor Weihs, Thomas Jennewein, Christoph Simon, Harald Weinfurter, and Anton Zeilinger’s 1998 experiment, “Violation of Bell’s Inequality under Strict Einstein Locality Conditions,” in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Weihs et al. implemented a Bell-type experiment with polarization-entangled photons, spatially separated measurement stations, rapidly and independently selected analyzer settings, and independent time-tagged registration. The experiment was designed to impose strict spacelike separation between the relevant measurement processes and reported a CHSH value of approximately S = 2.73 ± 0.02, substantially exceeding the Bell-local bound S ≤ 2. The measurement stations were separated by approximately 400 m, whereas the relevant interval between local setting selection and detection was much shorter than the approximately 1.3 µs light-travel time between the stations (Weihs et al. 1998). The purpose of the present study is not to reinterpret the violation of Bell’s inequality as a direct experimental proof of the Theory of Objectivity. Such an inference would exceed what the experiment establishes. Instead, the article distinguishes three epistemic levels: empirical result, theoretical interpretation, and modal-ontological proposition. This distinction is fundamental because the TO presents its Absolute Truths as modal necessities, whereas Bell experiments are contingent empirical investi- gations conducted under explicit mathematical, physical, and statistical assumptions. Within this disciplined framework, the strongest dialogue between Weihs et al. and the TO is found in the Fifth Absolute Truth, according to which the logical existence of an element requires observation or frequency relation with at least two other elements, while “observation” does not mean human consciousness. The Bell experiment is intrinsically relational: the relevant quantity is constructed from joint statistics obtained at physically independent stations, and no human observer is required to produce local physical registration. A second important dialogue arises with the Seventh Absolute Truth and the TO concept of the transcendent element as knowledge or information produced in atomic relations and treated within the theory as equivalent to atomic radiation. The experiment presents a rigorous chain connecting radiation, polarization, interaction, registration, correlation, and recoverable information. Nevertheless, quantum mechanics supports the proposition that radiation can instantiate information-bearing degrees of freedom; this does not by itself demonstrate the stronger ontological identity between radiation and information proposed by the TO. The Fourth and Sixth Absolute Truths also enter the dialogue through physical boundaries, interfaces, experimental differentiation, composition, and antecedent prepa- ration. By contrast, the experiment does not directly test the First Absolute Truth concerning logical-mathematical Nothingness, the Third Absolute Truth concerning Infinity as a non-element, or the complete physical content of the Second Absolute Truth concerning a unique individuating field belonging to every existing element. The article further examines possible relations with the phenomenic elements of the TO, the EIE/EIR Inductive Effects, the Cosmogenic Theorem, the proposed cos- mological Eras, the Law of Logical Minimum, and the Alpha–Omega Test. Throughout the analysis, experimentally grounded relations are distinguished from analogical or heuristic extrapolations. A central conclusion is that Bell nonlocality should not be equated with con- trollable superluminal information transmission, nor should it be treated as automatic demonstration of any unique hidden ontology. Its importance for the TO lies in the empirical inadequacy of the relevant Bell-local class of models and in the consequent importance of relational structure. The paper therefore proposes a future operational program: the TO should derive a quantitative function, correction, threshold, probabil- ity distribution, or observable capable of differing from standard quantum mechanics. Only such a discriminating prediction can transform philosophical compatibility into an independent empirical test. Keywords: Theory of Objectivity; Bell inequality; Bell nonlocality; Einstein locality; quantum entanglement; CHSH inequality; modal ontology; relational ob- servation; information; radiation; Absolute Truths; EIE; EIR; Cosmogenic Theorem; quantum foundations; empirical testability.
Bell-CHSH experiments with polarization-entangled photons are routinely performed to certify nonlocal correlations. We show that the \emph{same} dichotomic coincidence data can also serve as a quantitative metrological certificate for estimating a physical polarization parameter. Focusing on a local birefringent retardance ϕ applied to one photon, we (i) express the classical Fisher information (FI) for ϕ entirely in terms of CHSH correlators Exy(ϕ), and (ii) derive an explicit lower bound on FI using only the observed CHSH data and the differential response S′(ϕ) of the Bell parameter. In the ideal two-qubit, unbiased-marginals regime, we further show a \emph{dual-use optimality}: the standard CHSH measurement settings simultaneously saturate the quantum Fisher information (QFI) for retardance estimation. We analyze robustness under depolarizing noise (visibility v) and outline a practical SPDC-based implementation requiring only standard polarization analysis. Our results provide an operational bridge between Bell nonlocality certification and precision metrology, while clarifying that large QFI and Bell nonlocality are not universally equivalent resources.
Bell-CHSH experiments with polarization-entangled photons are routinely performed to certify nonlocal correlations. We show that the \emph{same} dichotomic coincidence data can also serve as a quantitative metrological certificate for estimating a physical polarization parameter. Focusing on a local birefringent retardance ϕ applied to one photon, we (i) express the classical Fisher information (FI) for ϕ entirely in terms of CHSH correlators Exy(ϕ), and (ii) derive an explicit lower bound on FI using only the observed CHSH data and the differential response S′(ϕ) of the Bell parameter. In the ideal two-qubit, unbiased-marginals regime, we further show a \emph{dual-use optimality}: the standard CHSH measurement settings simultaneously saturate the quantum Fisher information (QFI) for retardance estimation. We analyze robustness under depolarizing noise (visibility v) and outline a practical SPDC-based implementation requiring only standard polarization analysis. Our results provide an operational bridge between Bell nonlocality certification and precision metrology, while clarifying that large QFI and Bell nonlocality are not universally equivalent resources.
Bell-CHSH measurements with polarization-entangled photons are commonly used as nonlocality witnesses. Here we show that the same coincidence data can also provide a quantitative metrological certificate for optical retardance sensing. For a local birefringent phase encoded on one photon, we derive the classical Fisher information directly from experimentally accessible CHSH correlators and obtain a lower bound expressed in terms of the measured correlations and the phase derivative of the CHSH parameter. In the unbiased-marginal two-qubit regime, the canonical CHSH analyzer settings are shown to be simultaneously Bell-optimal and Fisher-optimal, saturating the quantum Fisher information for retardance estimation in the ideal case. We further analyze reduced visibility, phase noise, analyzer misalignment, and finite coincidence counts, and construct conservative lower confidence bounds that can be evaluated without quantum-state tomography. The results also clarify that Bell violation and metrological usefulness are distinct resources: nonzero Fisher information can persist below the CHSH-violation threshold. The protocol therefore enables a standard Bell-test data set to provide both a nonlocality benchmark and a statistically controlled sensitivity certificate for quantum polarimetry.
Bell-test data are typically used to certify nonlocal correlations, while quantum metrology is concerned with the sensitivity of measurement statistics to unknown parameters. Here we connect these tasks at the level of experimentally accessible Bell statistics. Using standard moment-based Fisher-information inequalities, we derive lower bounds on the classical Fisher information directly from Bell scores and their parameter dependence, without requiring full state tomography. For CHSH measurements we establish a hierarchy between the information contained in the full outcome record, the set of individual correlators, and the compressed Bell parameter, thereby quantifying the metrological cost of data compression. In polarization-phase sensing, this hierarchy reveals a Bell-metrology tradeoff: the point of maximal CHSH violation need not maximize, and can even suppress, the Fisher information carried by the Bell score itself. We further derive finite-sample lower-confidence bounds from coincidence counts and analyze the effects of biased marginals, accidental coincidences, visibility loss, and multipair emission. The framework provides a practical route for extracting metrological guarantees from Bell-type experiments using only standard correlation measurements.