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DELAYED-CHOICE ENTANGLEMENT SWAPPING AND THE RELATIONAL STRUCTURE OF PHYSICAL INFORMATION

Vidamor Cabannas

Published Sep 21, 2026• 0 citations
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Abstract

This article develops an expanded critical-propositional analysis of Xiao-song Ma, Stefan Zotter, Johannes Kofler, Rupert Ursin, Thomas Jennewein, Časlav Brukner, and Anton Zeilinger’s 2012 experiment, “Experimental Delayed-Choice Entanglement Swapping,” published in Nature Physics 8: 479–484, DOI 10.1038/nphys2294, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Ma et al. experimentally realized Asher Peres’s delayed-choice entanglement- swapping proposal by producing two entangled photon pairs and temporally delaying a randomly selected measurement on two of the photons until after the other two photons had already been detected. Victor’s later measurement could be configured either as a Bell-state measurement or as a separable-state measurement. Conditional sorting of the earlier records of Alice and Bob then yielded subensembles exhibiting either quantum entanglement or separable correlations. The experiment employed approximately 7 m optical paths for photons measured by Alice and Bob and approximately 104 m fiber delays for the photons sent to Victor. Victor’s measurement occurred about 485 ns after Alice’s and Bob’s detections, while his choice occurred between approximately 14 and 313 ns after those detections. The Bell-state configuration produced a reported fidelity of FBSM = 0.681 ± 0.034 and an entanglement-witness value of WBSM = −0.181 ± 0.034, whereas the separable-state configuration yielded a fidelity of FSSM = 0.421 ± 0.029 and a witness value of WSSM = 0.078 ± 0.029 (Ma et al. 2012). The article examines these results in relation to the Seven Absolute Truths of TO, with particular emphasis on the Fifth Absolute Truth, according to which an element requires relational observation or inclusion within the frequency of at least two other elements in order to possess logical existence. In TO, observation is not reducible to human consciousness; it is an objective relation among physical elements. The Ma experiment does not prove this universal modal proposition, but it offers an unusually relevant empirical domain in which physically meaningful classifications are dependent on multipartite relations rather than on isolated local records. The Fourth and Sixth Absolute Truths are likewise examined in relation to physical boundaries, interfaces, composition, and redistribution of entanglement. The Second Absolute Truth generates a productive tension with quantum indistinguishability, because TO attributes to every element its own exclusive field of individuation, whereas quantum optical interference presupposes operational indistinguishability among identical photons. Special attention is given to the TO concept of the transcendent element as knowledge or information generated in atomic relations and equivalent, within TO, to atomic radiation. Ma et al.’s experiment directly establishes an operational nexus among electromagnetic radiation, polarization information, physical correlations, measurement contexts, and recorded data, but it does not independently establish the stronger ontological identity between information and radiation proposed by TO. The article therefore distinguishes empirical consonance, operational compati- bility, ontological interpretation, and modal necessity. It argues that the scientifically strongest relation between Ma et al. and TO lies not in claiming confirmation of the entire theory but in constructing testable operational bridges, especially around relational observation, boundaries, physical information, non-simultaneity, and the dis- tinction between individual and relational properties. A TO-style appendix concludes the paper by formalizing possible operational bridges and research propositions for future empirical investigation. Keywords: Theory of Objectivity; delayed-choice entanglement swapping; quantum entanglement; relational observation; information; photon; Bell-state measurement; modal ontology; non-simultaneity; transcendent element; quantum foundations.

DOI
10.17605/osf.io/b9qjw

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This article develops an expanded critical-propositional analysis of Xiao-song Ma, Stefan Zotter, Johannes Kofler, Rupert Ursin, Thomas Jennewein, Časlav Brukner, and Anton Zeilinger’s 2012 experiment, “Experimental Delayed-Choice Entanglement Swapping,” published in Nature Physics 8: 479–484, DOI 10.1038/nphys2294, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Ma et al. experimentally realized Asher Peres’s delayed-choice entanglement- swapping proposal by producing two entangled photon pairs and temporally delaying a randomly selected measurement on two of the photons until after the other two photons had already been detected. Victor’s later measurement could be configured either as a Bell-state measurement or as a separable-state measurement. Conditional sorting of the earlier records of Alice and Bob then yielded subensembles exhibiting either quantum entanglement or separable correlations. The experiment employed approximately 7 m optical paths for photons measured by Alice and Bob and approximately 104 m fiber delays for the photons sent to Victor. Victor’s measurement occurred about 485 ns after Alice’s and Bob’s detections, while his choice occurred between approximately 14 and 313 ns after those detections. The Bell-state configuration produced a reported fidelity of FBSM = 0.681 ± 0.034 and an entanglement-witness value of WBSM = −0.181 ± 0.034, whereas the separable-state configuration yielded a fidelity of FSSM = 0.421 ± 0.029 and a witness value of WSSM = 0.078 ± 0.029 (Ma et al. 2012). The article examines these results in relation to the Seven Absolute Truths of TO, with particular emphasis on the Fifth Absolute Truth, according to which an element requires relational observation or inclusion within the frequency of at least two other elements in order to possess logical existence. In TO, observation is not reducible to human consciousness; it is an objective relation among physical elements. The Ma experiment does not prove this universal modal proposition, but it offers an unusually relevant empirical domain in which physically meaningful classifications are dependent on multipartite relations rather than on isolated local records. The Fourth and Sixth Absolute Truths are likewise examined in relation to physical boundaries, interfaces, composition, and redistribution of entanglement. The Second Absolute Truth generates a productive tension with quantum indistinguishability, because TO attributes to every element its own exclusive field of individuation, whereas quantum optical interference presupposes operational indistinguishability among identical photons. Special attention is given to the TO concept of the transcendent element as knowledge or information generated in atomic relations and equivalent, within TO, to atomic radiation. Ma et al.’s experiment directly establishes an operational nexus among electromagnetic radiation, polarization information, physical correlations, measurement contexts, and recorded data, but it does not independently establish the stronger ontological identity between information and radiation proposed by TO. The article therefore distinguishes empirical consonance, operational compati- bility, ontological interpretation, and modal necessity. It argues that the scientifically strongest relation between Ma et al. and TO lies not in claiming confirmation of the entire theory but in constructing testable operational bridges, especially around relational observation, boundaries, physical information, non-simultaneity, and the dis- tinction between individual and relational properties. A TO-style appendix concludes the paper by formalizing possible operational bridges and research propositions for future empirical investigation. Keywords: Theory of Objectivity; delayed-choice entanglement swapping; quantum entanglement; relational observation; information; photon; Bell-state measurement; modal ontology; non-simultaneity; transcendent element; quantum foundations.
This article develops an expanded critical–propositional analysis of Vincent Jacques, E. Wu, Frédéric Grosshans, François Treussart, Philippe Grangier, Alain Aspect, and Jean-François Roch’s 2007 experiment, “Experimental Realization of Wheeler’s Delayed-Choice Gedanken Experiment,” published in Science, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Jacques et al. implemented an almost ideal version of Wheeler’s delayed-choice thought experiment using single photons emitted by a nitrogen-vacancy center, a 48-m two-path interferometer, a quantum random number generator, and a fast electro-optical output configuration. The choice between an open interferometer, permitting unambiguous which-way information, and a closed interferometer, producing interference, was relativistically separated from the photon’s entry into the apparatus. The experiment reported high interference visibility in the closed configuration and essentially complete path information in the open configuration. These results are examined not as a direct proof of the complete ontology of TO, but as a particularly strong operational domain for confronting its Fourth, Fifth, Sixth, and Seventh Absolute Truths, its non- anthropocentric concept of observation, its notion of boundaries and interfaces, its concept of non-simultaneity, its phenomenic treatment of light and electromagnetic processes, and its claim that information generated in atomic relations is equivalent, within the TO framework, to atomic radiation. Special attention is given to the Fifth Absolute Truth, according to which an element has logical existence when it is observed by, or lies within the frequency of, at least two other elements, with “observation” understood as an objective relation among physical elements rather than human consciousness. The article distinguishes three epistemic levels: modal necessity internal to TO, operational compatibility with experimental physics, and genuinely discriminating empirical confirmation. Jacques et al. provide substantial indirect corroboration of relational and non-anthropocentric operational bridges compatible with TO, while leaving the specifically modal, cosmogonic, and field- individualization claims of the theory untested. A research program is proposed for converting TO’s relational axioms into quantitatively discriminating experiments. The final assessment assigns the Jacques et al. experiment a dialogue score of 8.6/10 with TO: very high conceptual and operational relevance, but not exclusive confirmation. Keywords: Theory of Objectivity; delayed choice; Wheeler; wave–particle duality; com- plementarity; quantum foundations; relational observation; information; modal necessity; photon; interferometry; empirical testability.
This article develops an expanded critical-propositional analysis of Yoon-Ho Kim, Rong Yu, Sergei P. Kulik, Yanhua Shih, and Marlan O. Scully’s experiment, “Delayed ‘Choice’ Quantum Eraser,” published in Physical Review Letters in 2000, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Kim et al. experimentally implemented a delayed-choice quantum eraser based on entangled signal-idler photon pairs generated through spontaneous parametric down- conversion. The experimental architecture allowed which-path information associated with the idler photon either to remain physically distinguishable or to be erased, while the correlated signal photon had already been registered. Conditional coincidence subsets corresponding to erased path information displayed interference, whereas subsets retaining which-path information did not. The experiment is examined here neither as a direct proof of the complete ontology of the Theory of Objectivity nor as evidence that future measurements physically rewrite past events. Instead, it is treated as an unusually rich operational domain in which several central TO concepts can be confronted with controlled empirical phenomena. Particular attention is devoted to the Fourth Absolute Truth, concerning boundary and interface; the Fifth Absolute Truth, according to which logical existence requires observation or frequency relation with at least two other elements and in which observation is fundamentally non-anthropocentric; the Sixth Absolute Truth, concerning relational composition; and the Seventh Absolute Truth, associated with the transcendent element. Within TO, the transcendent element is interpreted as knowledge or information produced in atomic relations and regarded as equivalent to atomic radiation. The analysis argues that the Kim experiment provides substantial indirect empirical support for four general propositions compatible with TO: the physical relevance of relational structures, the non-anthropocentric character of measurement interactions, the operational importance of information and distinguishability, and the dependence of observable phenomena upon physical boundaries and interfaces. At the same time, the experiment does not establish the modal necessity of the TO axioms, does not prove the claim that every individual element possesses a unique magnetic field, does not demonstrate that physical information is ontologically identical to radiation, and does not directly test the TO cosmogonic theorem or its cosmological Eras. The article therefore distinguishes modal necessity from empirical corroboration. If the Absolute Truths of TO are asserted as modally necessary propositions, empirical experiments cannot logically generate their necessity; experiments may instead provide correspondence, compatibility, indirect corroboration, operational bridges, or potential falsification of empirical consequences derived from them. On this basis, a research program is proposed in which visibility, path distinguishability, entanglement, boundary structure, coincidence correlations, and temporal separation are treated as possible operational variables for testing consequences derived from TO. The Kim et al. experi- ment is ultimately assigned a dialogue score of 8.7/10 with the Theory of Objectivity: very high in relational, informational, boundary, and non-anthropocentric dimensions, but incomplete as evidence for the full modal and cosmological architecture of TO. Keywords: Theory of Objectivity; delayed-choice quantum eraser; quantum informa- tion; entanglement; complementarity; which-path information; non-anthropocentric observation; modal necessity; physical information; transcendent element; quantum foundations.
This article develops an expanded critical–propositional analysis of Rupert Ursin and collaborators’ experiment, “Entanglement-Based Quantum Communication over 144 km,” published in Nature Physics in 2007, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Ursin et al. experimentally demonstrated entanglement-based quantum communication through a free-space optical link of approximately 144 km between the Canary Islands of La Palma and Tenerife. Among the principal results, the authors reported a Clauser– Horne–Shimony–Holt Bell parameter of S = 2.508 ± 0.037, obtained from 7,058 coincidence events accumulated during 221 seconds, cor- responding to a violation of the local CHSH bound by more than thirteen standard deviations. The same experimental infrastructure was also employed for entanglement- based quantum key distribution, thereby converting experimentally accessible photon correlations into operational information. The purpose of the present study is not to claim that Ursin et al. experimentally proved the Theory of Objectivity. Instead, three epistemological levels are explicitly distinguished: empirical confirmation of quantum phenomena within contemporary physics; structural or conceptual compatibility between such phenomena and the modal vocabulary of TO; and specific empirical confirmation of predictions uniquely or discriminatively derived from TO. This distinction is indispensable because the Ursin experiment predates the published foundational TO literature and therefore cannot constitute a prospective experimental prediction of that theory. The strongest dialogue is identified with the Fifth Absolute Truth, according to which an element requires relational observation or inclusion within the frequency of at least two other elements in order to acquire logical existence, where “observation” is understood as objective physical relation rather than human consciousness. The experimental structure of Ursin et al. is profoundly relational: entangled photons are jointly generated, spatially separated, locally interrogated by physical devices, converted into detector events, temporally registered, and finally identified through correlations among physical records. The experiment therefore provides a significant operational analogue for relational objectivity, while it does not prove the stronger modal assertion that precisely two external relations constitute a universal ontological minimum for existence. A second major area of dialogue concerns the TO concept of the transcendent element. In TO, knowledge or information produced through atomic relations is re- garded as transcendent and is associated with atomic radiation. Ursin et al. empirically display a physical sequence in which electromagnetic radiation carries quantum de- grees of freedom, relations between distant measurement results become experimentally accessible correlations, and these correlations are subsequently converted into crypto- graphically useful information. Nevertheless, standard quantum information theory does not thereby identify information ontologically with radiation. The experiment therefore supports a radiation–relation–information bridge while leaving the stronger TO ontological identity thesis unconfirmed. The analysis also examines the First, Second, Third, Fourth, Sixth, and Seventh Absolute Truths; the phenomenic elements; Inductive Effects; the TO cosmogonic theorem; and the cosmological Eras. Particular attention is paid to conceptual tensions. Ursin et al. do not investigate primordial Nothingness, do not test Infinity as a non- element, do not measure an exclusive magnetic aura individually belonging to each photon, and do not provide evidence for the TO cosmological Eras. Moreover, Bell nonlocality must not be confused with controllable superluminal communication. The article concludes that Ursin et al. constitute an important independent ret- rospective empirical interlocutor for TO, especially with respect to relational objectivity, boundaries, composition, and the transformation of radiation-mediated correlations into information. The central scientific challenge for TO is to convert these conceptual correspondences into quantitatively defined operational bridges capable of producing experimentally discriminating predictions. Keywords: Theory of Objectivity; quantum entanglement; Ursin; Bell inequality; CHSH; quantum communication; quantum information; relational observation; modal necessity; radiation; information; Inductive Effects; quantum nonlocality; physical boundaries; empirical corroboration.
This article develops an expanded critical–propositional analysis of Zhen-Sheng Yuan et al.’s 2008 experiment, “Experimental Demonstration of a BDCZ Quantum Repeater Node,” published in Nature 454: 1098–1101, DOI 10.1038/nature07241, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Yuan et al. experimentally combined atom–photon entanglement, a Bell-state measurement, entanglement swapping, atomic quantum memory, and subsequent retrieval in a single quantum-repeater-node architecture. Two atomic ensembles, each initially correlated with an emitted photon, were projected into an entangled state through a joint measurement performed on the photonic degrees of freedom. The resulting matter–matter entanglement was stored in collective atomic excitations and later converted back into photons for experimental verification. The experiment is especially significant for dialogue with the TO because it realizes a controlled physical sequence in which atomic relations generate radiation-associated quantum correlations; those correlations are transported through photonic channels; a joint physical event produces a nonclassical relation between spatially distinct atomic systems; that relation is retained in matter; and the stored relational information is subsequently manifested again through radiation. This sequence is examined against the Seven Absolute Truths of the TO, with particular emphasis on VA5, VA6, and VA7. VA5 is treated according to the TO formulation that logical existence requires relational observation or frequency inclusion involving at least two other elements, where observation is an objective physical relation rather than human consciousness. VA6 concerns composition from antecedent elements and relations. VA7 is examined in light of the TO proposition that the transcendent element is knowledge or information generated in atomic relations and treated as equivalent to atomic radiation. The article argues that Yuan et al. provide significant indirect empirical corrob- oration of relational and information-transformational structures that are compatible with the TO, but not an exclusive confirmation of the TO itself. Standard quantum mechanics already accounts for the experimental observations, and the experiment does not directly establish the modal necessity claimed for TO axioms. A central point of tension concerns the proposed equivalence between information and atomic radiation: during quantum-memory storage, relevant quantum information persists in a collective atomic excitation without requiring a continuously propagating photon. This motivates a refinement according to which the TO may distinguish between stored transcendent infor- mation and radiatively manifested transcendent information, connected through physically specifiable transformations. The analysis also articulates the experiment, where conceptually appropriate, with the TO phenomenic elements, Expansive and Reductive Inductive Effects, the Cosmogonic Theorem, and the cosmological Eras. These correspondences are classified as operational, structural, or analogical in order to avoid projecting a laboratory experiment illegitimately into cosmological proof. In dialogue with Einstein, Heisenberg, Bohm, Aspect, Briegel, Dür, Cirac, Zoller, Duan, Lukin, Planck, LIGO/Virgo, Petina, and the foundational and recent TO literature, the article proposes a methodological path from modal ontology toward discriminating empirical tests. Keywords: Theory of Objectivity; quantum repeater; quantum memory; entanglement swapping; atomic ensembles; quantum information; radiation; modal ontology; BDCZ; Bell inequality; relational observation; transcendent information.
This article develops an expanded critical–propositional analysis of D. L. Moehring, P. Maunz, S. Olmschenk, K. C. Younge, D. N. Matsukevich, L.-M. Duan, and C. Monroe’s experiment, “Entanglement of Single-Atom Quantum Bits at a Distance,” published in Nature 449 (2007): 68–71, DOI https://doi.org/10.1038/nature06118, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Moehring et al. experimentally generated heralded entanglement between two individually trapped 171Yb+ atomic ions separated by approximately one metre. Each ion emitted a photon whose quantum degrees of freedom became correlated with the internal atomic state. The photons were transmitted through optical channels, interfered at a common beam-splitter interface, and subjected to coincidence detection. Successful joint photon detection projected the spatially separated atomic memories into an entangled state. The reported Bell-state fidelity was F = 0.63 ± 0.03, with a positive lower bound on entanglement of formation, providing experimental evidence that the remote atomic qubits possessed nonclassical correlations. The experiment is examined here not as a direct proof of the complete ontology of the Theory of Objectivity, but as an unusually rich empirical domain in which several TO propositions can be confronted with reproducible physical phenomena. Particular attention is given to the Fourth, Fifth, Sixth, and Seventh Absolute Truths; to the TO concepts of boundaries, non-human observation, frequency-mediated relations, composition, Inductive Effects, and transcendent information; and especially to the TO claim that the transcendent element corresponds to knowledge or information produced through atomic relations and is physically equivalent, or closely linked, to atomic radiation. Moehring et al. provide a particularly significant operational sequence in this regard: atomic-state relations generate emitted radiation; the radiation physically carries state-correlated information; independent radiation fields are brought into a common interface; and the resulting relational event establishes a measurable new relation between distant atomic systems. The analysis nevertheless identifies important limits. The experiment does not address the First Absolute Truth concerning Logical Nothingness, does not test the Third Absolute Truth concerning Infinity, and does not by itself demonstrate the Second Absolute Truth’s stronger claim that every existing element possesses a magnetic field uniquely and exclusively individualizing it. Likewise, coincidence detection is not identical to the modal simultaneity required by the Fifth Absolute Truth, and quantum information is not, within standard physics, automatically identical to the ontological “knowledge” proposed by TO. The article concludes that Moehring et al. provide substantial indirect empirical support for specific operational bridges compatible with TO, especially the relational sequence linking atomic interactions, radiation, encoded information, physical inter- faces, and compositional emergence, while leaving the complete modal ontology of TO independently to be justified at its logical level. Keywords: Theory of Objectivity; remote entanglement; atomic qubits; quantum information; atomic radiation; transcendent information; relational ontology; Inductive Effects; modal ontology; quantum networks; Vidamor Cabannas; Denivaldo Silva; D. L. Moehring.
This article develops an expanded critical-propositional analysis of Christian Nölleke, Andreas Neuzner, Andreas Reiserer, Carolin Hahn, Gerhard Rempe, and Stephan Ritter’s experiment, “Efficient Teleportation Between Remote Single-Atom Quantum Memories,” published in Physical Review Letters 110, 140403, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva (Nölleke et al., 2013; Cabannas and Silva, 2016, 2018, 2025). Nölleke et al. experimentally implemented quantum teleportation between two spatially separated individual rubidium atoms confined in high-finesse optical cavities. An atomic quantum state initially encoded at one node was coherently mapped onto a photonic qubit, while a second atom at the remote node was previously entangled with another photon. A two-photon Bell-state measurement then conditionally transferred the quantum-state structure to the remote atomic memory. Using time-resolved Bell- state detection, the experiment achieved a maximum reported teleportation fidelity of F = (88.0 ± 1.5)%, (1) with a success probability of approximately Psuccess ≈ 0.1%. (2) The experiment is examined here not as a direct experimental validation of the complete ontology of the Theory of Objectivity, but as a particularly fertile operational domain in which several TO concepts can be confronted with independently established physical evidence. Special attention is given to the Fourth, Fifth, Sixth, and Seventh Absolute Truths; the TO concepts of boundaries, triangular observation, relational composition, information, atomic radiation, memory, and Inducing Effects; and the proposition that the transcendent element consists of knowledge or information generated in atomic relations and is equivalent, within the TO framework, to atomic radiation. The analysis identifies a significant operational sequence, atomic state −→ photonic state −→ relational photonic operation −→ remote atomic state, (3) which provides a scientifically controlled case in which physically encoded infor- mation survives changes of carrier and location without transportation of the original material object. The dependence of teleportation fidelity on photonic indistinguishability, tempo- ral overlap, coherent atom-photon conversion, and relational measurement is especially relevant to possible operational interpretations of the TO’s Fifth Absolute Truth, accord- ing to which an element requires relational observation by at least two other elements rather than human observation. Nevertheless, strict epistemological boundaries are maintained throughout the analysis. Quantum mechanics explains the Nölleke experiment without requiring the TO ontology. The experiment does not demonstrate primordial logical Nothingness, the modal necessity of the Seven Absolute Truths, the universal existence of an exclusive magnetic field for every element, or the ontological identity between information and a transcendent substance. Its significance for the TO is therefore best described as indirect empirical corroboration of selected operational bridges rather than confirmation of the theory as a whole. A central proposal of this study is that the scientific development of the TO should move from retrospective conceptual compatibility toward prospective quantita- tive predictions. Variables already controlled by Nölleke et al.—frequency mismatch, temporal distinguishability, interference contrast, memory fidelity, atom-photon con- version, and relational configuration—provide possible starting points for constructing testable functions derived from TO axioms. Such a program could allow modal claims to be distinguished from conventional quantum-mechanical predictions and thereby subject operational consequences of the TO to genuine empirical discrimination. Keywords: Theory of Objectivity; quantum teleportation; quantum memory; single atoms; information; atomic radiation; Bell-state measurement; relational ontology; modal necessity; quantum networks; transcendent element; Inducing Effects.