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BELL NONLOCALITY, RELATIONAL INFORMATION, AND MODAL ONTOLOGY

Vidamor Cabannas

Published Aug 22, 2026• 0 citations
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Abstract

This article develops an expanded critical–propositional analysis of Alain Aspect, Jean Dalibard, and Gérard Roger’s 1982 experiment, Experimental Test of Bell’s Inequalities Using Time-Varying Analyzers, in systematic dialogue with the Theory of Objectivity (TO), developed by Vidamor Cabannas and Denivaldo Silva. The Aspect experiment occupies a privileged position in this dialogue because it combines atomic radiative transitions, correlated photons, dynamically changing measurement boundaries, electromagnetic polarization, acousto-optical switching, statistical information, and relational measurement within a single empirically controlled arrangement. Aspect, Dalibard, and Roger reported correlations in agreement with quantum-mechanical predictions while violating the relevant Bell inequality by approximately five standard deviations (Aspect, Dalibard, and Roger 1982). The present analysis does not identify Bell nonlocality with the ontology of the TO. Instead, it distinguishes three epistemological levels: direct experimental result, indirect structural compatibility, and speculative ontological interpretation. Under this discipline, the strongest points of dialogue occur with VA4, boundary/interface; VA5, relational or simultaneous observation; and VA7, the transcendent informational element. Particular attention is given to the TO proposition that knowledge or information generated in atomic relations is physically equivalent to atomic radiation. Aspect’s source is precisely an atomic radiative cascade producing correlated photons, which creates a potentially important operational bridge between atomic relation, radiation, correlation, and measurable information without proving the stronger TO ontology. The paper further proposes that Bell experiments should be treated not merely as retrospective analogies but as constraints upon any future mathematical physics derived from the TO. A mature TO formulation must produce an explicit correlation function and must reproduce, or predict experimentally distinguishable departures from, quantum statistics while respecting the empirically established absence of controllable faster-than-light signaling. Finally, the analysis situates Bell experimentation within the broader methodological program of the TO: modal necessity must be connected to empirical science through derived bridge principles, quantitative observables, risky predictions, and discriminating tests. Keywords: Theory of Objectivity; Bell inequalities; Alain Aspect; quantum entangle- ment; nonlocality; information; atomic radiation; modal ontology; relationality; EIE; EIR; empirical corroboration.

DOI
10.17605/osf.io/es9vm

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This article develops an expanded critical-propositional analysis of Manfred Eibl, Sascha Gaertner, Mohamed Bourennane, Christian Kurtsiefer, Marek Żukowski, and Harald Weinfurter’s 2003 experiment, “Experimental Observation of Four-Photon Entangle- ment from Parametric Down-Conversion,” in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Eibl et al. experimentally produced a polarization-entangled four-photon state from a single pulsed spontaneous parametric down-conversion source and demonstrated nonclassical four-party correlations. The reported correlation visibility was 79.3 ± 1.4%, and the generalized four-qubit Bell test yielded S (4) = 1.301 ± 0.040, exceeding the local-realistic bound S (4) ≤ 1. The experiment is therefore a particularly useful empirical case for examining whether TO categories of boundary, relational observation, composition, and information can be brought into operational contact with quantum physics. The analysis adopts a strict three-level epistemological discipline: empirical confirmation of physical phenomena; structural compatibility between those phenomena and TO categories; and theory-specific confirmation capable of discriminating TO from alternative interpretations or standard quantum mechanics. Under that distinction, the Eibl experiment does not demonstrate the modal necessity of TO’s seven premises and does not confirm TO as a complete physical theory. It does, however, provide strong indirect corroboration for operational bridges associated with VA4 (boundary/distinguishability), VA5 (relational observation), VA6 (composition with irreducible global properties), and a restricted reading of VA7 (information borne by radiation and produced or manifested through relations). The paper also analyzes points of tension, especially if VA2 is construed as classical local individuation, if VA5 is given a consciousness-dependent interpretation, or if VA7 is taken to assert an empirically established identity between knowledge and radiation. Inductive Effects, phenomenic elements, the cosmogenic theorem, and TO’s cosmological eras are incorporated only where the experimental domain justifies the comparison. The article concludes by proposing operational bridges through quantum mutual information, multipartite entanglement witnesses, contextual boundary manipulations, and falsifiable deviations from standard quantum predictions. On a zero-to-ten scale of productive dialogue with TO, Eibl et al. is assigned 7.8/10: high in structural relevance, but not yet a discriminating confirmation of TO. Keywords: four-photon entanglement; Bell inequality; spontaneous paramet- ric down-conversion; Theory of Objectivity; modal ontology; relational information; quantum nonseparability; testability.
This article develops an expanded critical–propositional analysis of Daniel Salart, Augustin Baas, Cyril Branciard, Nicolas Gisin, and Hugo Zbinden’s 2008 experiment, “Testing the Speed of ‘Spooky Action at a Distance’,” published in Nature, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Salart et al. performed an energy–time entanglement experiment between two receiving stations separated by approximately 18 km in the Geneva region and used the rotation of the Earth to constrain hypothetical finite-speed influences that might be invoked to reproduce quantum correlations in a privileged reference frame. Under a representative assumption concerning the Earth’s velocity relative to such a frame, their analysis produced lower bounds exceeding 104 c, with a reported bound of approximately 54,000c in a particular geometrical configuration. These quantities are not measurements of an actually detected superluminal signal; they are conditional lower bounds applying to hypothetical hidden influences. The present study asks whether this experimental structure can be placed in meaningful dialogue with the modal axioms of the Theory of Objectivity, especially the First Absolute Truth concerning primordial Nothingness as a logical, mathematical, and eternal essence; the Second Absolute Truth concerning an element-specific individualiz- ing field; the TO treatment of infinity; and, most importantly, the Fifth Absolute Truth, according to which an element acquires logical existence through elementary relational observation involving at least two other elements. In this framework, “observation” does not signify human consciousness but an objective relation among physical elements. The article argues that Salart et al. provide no direct empirical test of the First or Second Absolute Truths and no direct confirmation of TO’s cosmogonic theorem or cosmological eras. The strongest dialogue concerns relational ontology, the Fifth Absolute Truth, and the TO concept of the transcendent element as knowledge or information produced through atomic relations and associated, within TO, with atomic radiation. Nevertheless, quantum information in a Bell experiment cannot simply be identified with a controllable signal propagating between distant systems. This distinction becomes theoretically decisive. If the TO transcendent element is construed as an ordinary finite-speed physical carrier responsible for Bell correlations, strong conceptual difficulties arise. If, instead, it is formulated as relationally constituted information whose manifestation cannot be reduced to classical signal propagation, the dialogue with quantum nonlocality becomes substantially stronger. The article further examines criticisms of the 2008 Franson-type implementation, subsequent loophole-reduced and loophole-free Bell experiments, and theoretical results showing difficulties for finite-speed hidden-influence models. It concludes that Salart et al. may be treated as an indirect empirical bridge for developing TO’s relational propositions, but not as a unique experimental confirmation of TO. A scientifically decisive future program requires the Theory of Objectivity to derive an observable probability distribution or correlation function that differs quantitatively from the predictions of standard quantum mechanics. An appendix formulates such a research program in a TO-style modal–empirical structure. Keywords: Theory of Objectivity; quantum nonlocality; Bell inequalities; Salart exper- iment; entanglement; relational ontology; modal necessity; information; transcendent element; quantum foundations; empirical corroboration; cosmology.
This article develops an expanded critical-propositional analysis of B. Hensen et al.’s 2015 experiment, “Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres,” published in Nature, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Hensen et al. implemented an event-ready Bell experiment using electron spins associated with nitrogen-vacancy centers in diamond, spatially separated by approximately 1.3 km. Remote spin entanglement was heralded through optical interference and photon detection at an intermediate station. Efficient spin readout addressed the detection loophole, while rapid random basis selection, spacelike separation, and controlled timing addressed the locality loophole. Across 245 valid trials, the experiment obtained a CHSH parameter S = 2.42 ± 0.20, exceeding the local-realistic bound S ≤ 2, with a reported null-hypothesis probability p ≤ 0.039 under the statistical assumptions adopted by the authors (Hensen et al., 2015). The experiment is especially relevant to the TO because it combines individuality of physical systems, magnetic spin degrees of freedom, electromagnetic manipulation, atomic-scale radiation, physically encoded information, boundaries, interfaces, non- anthropocentric measurement, relationality, and long-distance quantum correlations within one experimental architecture. The analysis therefore investigates possible compatibility between Hensen et al. and the Seven Absolute Truths of the TO, with particular attention to Absolute Truth Two, concerning the individualizing field of every element; Absolute Truth Five, according to which an element requires observation or frequency relation with at least two other elements for logical existence; and Absolute Truth Seven, here interpreted through the TO proposition that the transcendent element consists of knowledge or information produced in atomic relations and is equivalent to atomic radiation. The analysis finds substantial conceptual and operational compatibility, especially regarding non-anthropocentric observation, relational constitution, information-bearing radiation, physical boundaries, and the inadequacy of a naive ontology of mutually independent local properties. However, the Hensen experiment does not establish the modal necessity of the TO axioms, does not demonstrate that every existing element possesses the unique magnetic field specified by Absolute Truth Two, does not prove the exact two-observer structure claimed by Absolute Truth Five, and does not establish an ontological identity between information and radiation. Moreover, any formulation of the TO that attempted to reproduce Bell correlations through purely local, predetermined hidden variables satisfying Bell factorability would face direct experimental tension. The article consequently proposes a methodological distinction between modal necessity, ontological interpretation, operational bridge, quantitative prediction, and empirical corroboration. It further proposes a Bell–TO research program in which the individual fields, Inducing Effects, relational observation, and transcendent informational element of the TO would be assigned explicit mathematical variables from which a predicted CHSH parameter STO could be derived. Such formalization would move the relation between Bell physics and the TO from philosophical compatibility toward genuine empirical discrimination. Keywords: Theory of Objectivity; Bell inequality; Hensen experiment; quantum nonlocality; electron spin; entanglement; relational ontology; information; atomic radiation; modal necessity; objectivity; CHSH; empirical corroboration.
This article develops an expanded critical-propositional analysis of Marissa Giustina et al.’s 2015 experiment, “Significant-Loophole-Free Test of Bell’s Theorem with Entangled Photons,” published in Physical Review Letters, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Giustina et al. performed a photonic Bell experiment designed to close simultaneously the most significant locality and detection-related loopholes that had historically allowed restricted local-realist explanations of earlier tests. By employing an optimized entangled- photon source, rapid physically generated measurement settings, spatially separated measurement stations, and high-efficiency superconducting detectors, the experiment produced a statistically overwhelming violation of a Bell inequality. Under the local- realist null hypothesis considered by the authors, the probability of obtaining results at least as extreme as those observed did not exceed 3.74 × 10−31, corresponding to approximately 11.5 standard deviations (Giustina et al., 2015). The present article does not treat this result as a direct proof of the Theory of Objectivity. Instead, it distinguishes three epistemic levels: empirical fact, structural compatibility, and theory-specific confirmation. This distinction is indispensable because Bell experiments constrain broad classes of local hidden-variable descriptions while not uniquely selecting the ontology proposed by TO. The article nevertheless argues that Giustina et al. provide an exceptionally fertile empirical domain for examining several elements of TO. Particularly significant are the Fourth Absolute Truth, concerning boundaries and interfaces; the Fifth Absolute Truth, according to which logical existence requires physical observation or relational frequency involving at least two other elements and where observation is explicitly non-anthropocentric; and the Seventh Absolute Truth, interpreted within TO as the informational or transcendent element generated in atomic relations and physically associated with atomic radiation. The analysis also addresses the First Absolute Truth, according to which prior to the universe there was Nothing, although this Nothing is not absolute absence but an eternal logical and mathematical essence; the Second Absolute Truth, according to which every existing element possesses its own exclusive magnetic field that individualizes it; the Third and Sixth Absolute Truths; the phenomenic elements; the Expansive and Reductive Inductor Effects; the cosmogenic theorem; and the cosmological Eras of TO. Particular attention is paid to points at which the experimental facts are neutral toward TO, points of genuine structural compatibility, and points of tension requiring further mathematical development. The central proposal is that Bell experiments should become an operational benchmark for TO. If TO is to move from modal axioms to empirical contact, it must derive a probability structure for entangled measurements, recover Bell-inequality violations without reducing its relational ontology to local predetermined properties, preserve operational no-signalling, and ultimately identify at least one experimentally accessible regime in which a TO prediction differs from standard quantum mechanics. In this sense, Giustina et al. offer strong indirect empirical compatibility with the relational and informational dimensions of TO, but not an exclusive empirical confirmation of the theory. Keywords: Theory of Objectivity; Bell theorem; Bell nonlocality; entanglement; local realism; modal ontology; observation; information; radiation; boundaries; quantum foundations; testability.