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NONLOCAL SINGLE-PHOTON STEERING AND THE THEORY OF OBJECTIVITY

Vidamor Cabannas

Published Sep 5, 2026• 0 citations
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Abstract

This article develops an expanded critical-propositional analysis of Maria Fuwa, Shuntaro Takeda, Marcin Zwierz, Howard M. Wiseman, and Akira Furusawa’s 2015 experiment, “Experimental Proof of Nonlocal Wavefunction Collapse for a Single Particle Using Homodyne Measurements,” published in Nature Communications, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Fuwa et al. experimentally investigated Einstein-Podolsky-Rosen steering in a single-photon spatial-mode entangled state. A heralded photon was incident on a beam splitter and thereby represented by a coherent quantum state distributed between spatial modes assigned to Alice and Bob. Through phase-sensitive homodyne measurements with six settings on Alice’s side and full homodyne tomography on Bob’s side, the experiment violated a nonlinear EPR-steering inequality by 0.042 ± 0.006, approximately seven standard deviations, with Alice’s homodyne efficiency reaching 0.96 ± 0.01. The experiment thereby demonstrated single-photon EPR steering without the efficiency loophole used as an explanatory alternative, although the authors did not claim closure of the separation loophole (Fuwa et al. 2015). The present analysis adopts the modal discipline developed in the recent literature of the Theory of Objectivity and distinguishes three epistemological levels: (1) empirical confirmation of a physical phenomenon; (2) structural compatibility between that phenomenon and categories derived from the TO; and (3) theory-specific, discriminating empirical confirmation. This distinction is indispensable because the Seven Absolute Truths of the TO—VA1 through VA7—are presented within the theory as modal or logically necessary foundations rather than as empirical generalizations. Experiments therefore do not create their modal necessity. Rather, experiments may corroborate, constrain, challenge, or refine operational bridges connecting the modal structure of the TO with contingent physical phenomena. The article argues that the strongest structural convergences between Fuwa et al. and the TO concern VA2, the unique field or aura; VA4, boundary or interface; VA5, simultaneous or triangular observation; VA6, composition from preceding elements; and VA7, the transcendent informational element. Particular attention is given to the TO thesis that the transcendent element consists of knowledge or information produced in atomic relations and is equivalent to atomic radiation. The Fuwa experiment provides significant indirect support for the physical relevance of the relation among radiation, correlation, and information, but it does not establish an ontological identity between information and radiation in the specific sense proposed by the TO. The experiment is further interpreted in relation to the Phenomenic Table of the TO, especially light and electromagnetism; to the Inducing Effects EIE and EIR, cautiously associated with differentiation/distribution and convergence/integration; to the TO cosmogenic theorem; and, with substantially weaker evidential force, to its cosmological Eras. The analysis emphasizes that EPR steering must not be conflated with controllable faster-than-light signalling. Bob’s unconditioned local state does not provide him with a means of determining Alice’s measurement choice without an additional comparison of information. Consequently, any TO interpretation of nonlocality must remain compatible with the operational no-signalling structure of quantum mechanics unless it produces a new discriminating experiment. The central conclusion is therefore neither that Fuwa et al. prove the Theory of Objectivity nor that their result is irrelevant to it. Instead, their experiment provides strong empirical evidence for a class of physical phenomena—nonclassical relationality, single-particle mode entanglement, EPR steering, boundary-mediated differentiation, conditioned quantum determination, and the operational centrality of information—that can be articulated with several core categories of the TO. The article proposes a research program for transforming such structural compatibility into discriminating scientific tests through quantitative TO-specific predictions concerning information-radiation equivalence, boundary conditions, and EIE-EIR dynamics. Keywords: Theory of Objectivity; EPR steering; quantum nonlocality; single-photon entanglement; wavefunction collapse; homodyne detection; information; radiation; modal ontology; boundary; EIE; EIR; quantum foundations.

DOI
10.17605/osf.io/dfz8m

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This article develops an expanded critical–propositional analysis of Matteo Fadel, Tilman Zibold, Boris Décamps, and Philipp Treutlein’s 2018 experimental study, “Spatial Entanglement Patterns and Einstein-Podolsky-Rosen Steering in Bose-Einstein Conden- sates,” published in Science, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Fadel et al. investigated spatially distributed quantum correlations in a spin-squeezed Bose–Einstein condensate composed of approximately 590 rubidium-87 atoms. By preparing collective quantum correlations, releasing the condensate from confinement, allowing the atomic cloud to expand, resolving atomic populations spatially, and applying entanglement and Einstein–Podolsky–Rosen steering criteria, the experiment showed that spatially distinct regions of the many-body system could retain nonclassical correlations incompatible with separable descriptions (Fadel et al., 2018). The analysis is conducted under a strict distinction between the modal status at- tributed by the TO to its Seven Absolute Truths and the contingent status of experimental findings. Empirical evidence cannot by itself prove modal necessity. It may nevertheless provide operational bridges, exhibit structural compatibility, constrain interpretations, and corroborate empirical consequences derived from a modal framework. On this basis, the strongest dialogue between the Fadel experiment and the TO concerns the Fourth, Fifth, Sixth, and Seventh Absolute Truths: boundary and differentiation; relational existence and non-human observation; composition and emergence from prior elements and relations; and the production of information or knowledge through atomic relations. The Second Absolute Truth, according to which every existing element possesses its own proper and exclusive magnetic field that individuates it, enters a productive tension with the permutation symmetry and indistinguishability of bosonic atoms. The First and Third Absolute Truths remain largely outside the empirical scope of the experiment. The article also develops a propositional interpretation of the preparation–expansion sequence through the TO’s Inducing Effects. The correlated and organized condensate is compared, analogically, with an Internal/Recessive Inducing Effect (EIR), while spatial release and differentiation are compared with an External/Expansive Inducing Effect (EIE). The experimentally important feature is that expansion does not necessarily elimi- nate relational structure generated before differentiation. This observation is discussed in connection with the TO Cosmogonic Theorem and Cosmological Eras, while carefully distinguishing microphysical analogy from cosmological confirmation. The paper concludes that Fadel et al. provide significant indirect empirical– structural corroboration for several relational propositions compatible with the TO, without confirming the theory as a complete modal or cosmological system. The most scientifically productive path is the transformation of TO concepts of boundary, relation, field individuality, information, radiation, and relational persistence into quantitatively discriminating predictions. Keywords: Theory of Objectivity; Bose–Einstein condensate; quantum entanglement; Einstein–Podolsky–Rosen steering; spatial entanglement; relational ontology; information; atomic radiation; modal necessity; Inducing Effects; quantum foundations.
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 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.
This article develops an expanded critical-propositional analysis of S. L. N. Hermans et al.’s 2022 experimental study, “Qubit Teleportation between Non-Neighbouring Nodes in a Quantum Network,” published in Nature, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Hermans et al. realized quantum teleportation between stationary, non-neighbouring nodes of a three-node quantum network composed of solid-state spin qubits associated with nitrogen-vacancy centers in diamond. The experimental architecture involved remote entanglement generation on two elementary links, entanglement swapping at an intermediate node, preservation of previously generated quantum correlations through nuclear-spin quantum memories, Bell-state measurement at the sending node, classical communication, and conditional feed-forward at the receiving node. The experiment is examined here not as a direct confirmation of the complete ontology of the Theory of Objectivity but as an unusually rich operational domain in which several TO concepts may be confronted with controlled empirical phenomena. Particular attention is devoted to the Fourth, Fifth, Sixth, and Seventh Absolute Truths: boundary and interface; objective and non-anthropocentric observation; composition from previous elements and relations; and the transcendent element understood within TO as knowledge or information produced in atomic relations and considered equivalent to atomic radiation. The First Absolute Truth is also examined according to its specific formulation in TO: before the emergence of the Universe there was Nothing, although such Nothing was not absolute non-being but a logical, mathematical, and eternal essence. The article maintains a strict methodological distinction between modal necessity and empirical corroboration. If the Absolute Truths are claimed to possess modal necessity, no finite experiment can by itself establish that necessity. Experiments may instead test derived consequences, operational bridges, quantitative predictions, and physical interpretations of the axioms. In this sense, the three-node Alice-Bob-Charlie network displays a strong structural analogy with TO’s emphasis on relational and triangular observation. Nevertheless, compatibility is not equivalent to proof. Standard quantum mechanics predicts the experiment without requiring the complete modal ontology of TO. The analysis further proposes operational bridges through which TO could move from modal axioms toward experimentally distinguishable predictions. These include formalization of triadic relational conditions, information-memory relations, boundary- mediated composition, and the distinction between radiation as a physical carrier or mediator and information as a physically instantiated relational structure. The study also connects the experiment with TO’s phenomenic elements, Inducing Effects, the cosmogenic theorem, cosmological Eras, foundational works of Cabannas and Silva, recent TO publications, and supporting literature from quantum mechanics, relativity, cosmology, philosophy of physics, and scientific methodology. The principal conclusion is that Hermans et al. provide substantial indirect empirical support for relational, compositional, memory-based, and non-anthropocentric observational principles compatible with important sectors of TO. The experiment, however, neither establishes the modal necessity of the Seven Absolute Truths nor confirms the specific cosmological narrative of TO. Its strongest scientific value for TO lies in offering an advanced experimental platform from which operational and potentially falsifiable consequences may be developed. Keywords: Theory of Objectivity; quantum teleportation; quantum networks; entan- glement; information; quantum memory; modal necessity; objective observation; atomic relations; radiation; boundaries; Inducing Effects.
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.