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QUANTUM IMAGING WITH UNDETECTED PHOTONS AND THE THEORY OF OBJECTIVITY

Vidamor Cabannas

Published Sep 22, 2026• 0 citations
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Abstract

This article develops an expanded critical–propositional analysis of Gabriela Barreto Lemos et al.’s experiment, “Quantum Imaging with Undetected Photons,” published in Nature 512 (2014): 409–412, DOI 10.1038/nature13586, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Lemos et al. experimentally demonstrated an imaging architecture based on induced coherence without induced emission in which photons that interact with an object are not themselves detected, whereas the image is reconstructed exclusively by detecting photons that never interacted directly with that object. Two coherently pumped nonlinear crystals can produce signal–idler photon-pair alternatives. An idler originating from the first crystal traverses the object and is subsequently mode- matched with the idler alternative associated with the second crystal. Under conditions in which the origin of the generated pair remains physically indistinguishable, the signal alternatives interfere, and amplitude and phase information introduced into the undetected idler path becomes accessible through the detected signal intensity (Lemos et al., 2014; Lahiri et al., 2015). The experiment therefore provides an unusually productive empirical domain in which to examine relations among interaction, physical distinguishability, coherence, information, observation, boundaries, and compositional phenomena. The present study argues that Lemos et al. do not experimentally establish the complete ontology of the Theory of Objectivity and do not demonstrate the modal necessity of its Seven Absolute Truths. Nevertheless, the experiment provides important operational bridges to the Fourth, Fifth, Sixth, and Seventh Absolute Truths when these propositions are carefully distinguished from stronger metaphysical interpretations. Particular attention is devoted to the Fifth Absolute Truth, according to which an element must, for logical existence, be observed or remain within the frequency of at least two other elements, where “observation” does not mean human consciousness. Quantum imaging with undetected photons provides an experimentally controlled domain in which observable manifestation depends on relations among multiple phys- ical systems independently of a conscious observer. The later theoretical analysis of the Lemos architecture showed that information about the object occurs in the interference contribution rather than in either individual signal intensity considered separately (Lahiri et al., 2015). This makes the experiment particularly relevant to a TO interpretation of information as fundamentally relational. Methodological restraint is nevertheless essential. Classical-state correlated optical systems can reproduce important operational features of imaging with unde- tected photons (Shapiro, Venkatraman, and Wong, 2015). Consequently, the Lemos experiment does not by itself discriminate between the ontology of the TO and all competing descriptions. Its strongest scientifically defensible role is therefore to provide a controlled experimental environment in which TO propositions concerning relational existence, physical boundaries, non-human observation, composition, and information may be translated into measurable quantities. The article concludes by proposing an empirical research program in which modal propositions of the TO are related to experimentally measurable parameters such as distinguishability, coherence, visibility, complex transmission, boundary transformation, and recoverable information. Such a program could move the TO from conceptual compatibility with quantum phenomena toward genuinely discriminating empirical predictions. Keywords: Theory of Objectivity; quantum imaging; undetected photons; induced co- herence; quantum information; relational information; observation; indistinguishability; modal ontology; physical boundaries; testability; transcendent information.

DOI
10.17605/osf.io/emrvq

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•Sep 18, 2026•0 citations
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This article develops an expanded critical–propositional analysis of Kaiyi Qian et al.’s 2023 experiment, “Multiphoton Non-local Quantum Interference Controlled by an Undetected Photon,” published in Nature Communications 14, article 1480, DOI https://doi.org/10.1038/s41467-023-37228-y, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Qian et al. experimentally realized multiphoton frustrated quantum interference by exploiting the coherent superposition of alternative physical origins of a four-photon product state. Their experiment is especially significant because the phase of a photon that is not detected can control measurable interference patterns involving the remaining detected photons. The reported four-fold interference visibility was V4 = (75.47 ± 2.99)%, three-fold coincidence interference controlled by the undetected photon exhibited a visibility of V3 = (29.84 ± 1.05)%, and even two-fold coincidences displayed phase-dependent interference with a visibility of V2 = (11.42 ± 0.38)%. These results constitute an experimentally controlled demonstration that direct detection of every participating quantum degree of freedom is not required for that degree of freedom to remain physically relevant to the global interference process (Qian et al., 2023). The present analysis examines whether and to what extent these results can be placed in constructive dialogue with the seven Absolute Truths proposed by TO, while carefully distinguishing empirical confirmation, structural compatibility, heuristic analogy, indirect corroboration, and theory-specific corroboration. Particular attention is given to the Fourth Absolute Truth concerning boundaries, the Fifth Absolute Truth concerning relational observation, and the Seventh Absolute Truth concerning a transcendent element identified in later TO formulations with knowledge or information produced in atomic relations and regarded as equivalent to atomic radiation. Qian et al.’s experiment is especially relevant to the Fifth Absolute Truth because the experimentally consequential role of an undetected photon demonstrates that physical participation does not depend on human observation or on the direct registration of every constituent of the relevant quantum process. This point is compatible with TO’s explicit distinction between human observation and ontological relational observation. The article argues that the experiment offers meaningful indirect empirical sup- port for several operational bridges proposed by TO—especially its non-anthropocentric conception of observation, its emphasis on relational determination, and its attribution of physical significance to information-bearing relations. Nevertheless, the experiment does not establish the full modal claims of TO. In particular, Qian et al. do not test the TO requirement that logical existence involves at least two other elements, do not detect the unique individual magnetic field postulated by the Second Absolute Truth, and do not establish that information constitutes a transcendent substance ontologically equivalent to atomic radiation. Nor does the experiment test the TO cosmogonic theorem or its cosmological eras. The analysis therefore proposes a disciplined distinction between compatibility and confirmation. The Qian experiment can be treated as an unusually fertile empirical domain for operationalizing TO, but a stronger scientific claim would require TO to derive quantitative predictions from its axioms, reproduce or constrain the experimen- tally observed phase dependences and visibility bounds, and ideally predict effects that differ from standard quantum theory. The article concludes by proposing a research program based on controlled distinguishability, undetected-photon phase manipulation, boundary transformations, multi-element relational configurations, and searches for theory-specific deviations. Keywords: Theory of Objectivity; multiphoton interference; undetected photons; induced coherence; non-local quantum interference; quantum information; indistin- guishability; relational observation; modal ontology; photon interference; foundations of quantum mechanics.
This article develops an expanded critical–propositional analysis of William T. M. Irvine, Juan F. Hodelin, Christoph Simon, and Dirk Bouwmeester’s 2005 experiment, “Realization of Hardy’s Thought Experiment with Photons,” published in Physical Review Letters, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Irvine et al. experimentally implemented a photonic version of Lucien Hardy’s two-particle argument against local hidden-variable descriptions by employing two coupled Mach–Zehnder interferometers, nonmaximally entangled path states, photon bunching at a shared beam splitter, and coincidence detection. The experiment derived a Clauser–Horne-type inequality appropriate to its nonideal optical implementation and reported a violation of the local-hidden-variable bound by twelve standard deviations. Its photonic configuration relied crucially upon high two-photon indistinguishability; the measured distinguishability probability was approximately 7.8 percent, below the 12.5 percent threshold identified by the authors for observing the relevant violation. These results provide an experimentally controlled demonstration that the class of local hidden-variable models addressed by the inequality cannot reproduce the observed path correlations (Irvine et al. 2005). The present study asks a different question: whether, and in what restricted sense, Irvine et al.’s results can enter into empirical dialogue with the modal axioms and physical proposals of TO. Particular attention is devoted to the First Absolute Truth, according to which the pre-universal “Nothing” is not absolute nonbeing but an eternal logical-mathematical essence; the Second Absolute Truth, according to which every existing element possesses its own exclusive individualizing magnetic field; the Fourth Absolute Truth concerning boundaries or interfaces; the Fifth Absolute Truth, according to which logical existence requires an element to be observed by, or to lie within the frequency of, at least two other elements, where observation is physical and non-anthropocentric; and the Seventh Absolute Truth, in which the transcendent element is interpreted as knowledge or information produced in atomic relations and regarded by TO as equivalent to atomic radiation. The analysis distinguishes modal necessity from empirical confirmation. If an axiom is claimed to possess necessary status, no finite collection of observations can establish that necessity inductively. Experiments can nevertheless test operational bridge principles linking a modal ontology to measurable consequences. Under this distinction, Irvine et al. exhibit significant compatibility with TO’s emphasis on relationality, physically efficacious boundaries, non-anthropocentric registration, and objectively instantiated correlations. At the same time, the experiment generates a particularly important tension for the Second Absolute Truth: quantum interference requires photons to be operationally indistinguishable, whereas a strongly measurable individualizing field would constitute distinguishing information and could therefore degrade two-photon bunching. The article consequently proposes a distinction between ontological individuality and experimentally accessible distinguishability and formulates potential experimental bridges through which the individualizing-field thesis could become testable. The analysis further examines TO’s phenomenic elements, Inducing Effects, Cosmogonic Theorem, and Cosmological Eras, while refusing to infer cosmological confirmation from a laboratory-scale quantum-optical experiment. The conclusion is that Irvine et al. provide meaningful indirect corroborative contact with several relational and informational motifs of TO, but neither confirm TO uniquely nor establish the modal necessity of its axioms. The most scientifically productive consequence of the comparison is therefore not retrospective assimilation of quantum mechanics into TO, but the formulation of novel, risk-bearing, quantitative predictions capable of distinguishing TO from standard quantum theory. Keywords: Theory of Objectivity; Hardy paradox; quantum nonlocality; local hidden variables; photon bunching; quantum indistinguishability; physical information; non- anthropocentric observation; modal ontology; boundaries; empirical testability.
This article develops an expanded critical–propositional analysis of Tatjana Wilk, Si- mon C. Webster, Axel Kuhn, and Gerhard Rempe’s 2007 experiment, “Single-Atom Single-Photon Quantum Interface,” published in Science 317: 488–490, DOI 10.1126/sci- ence.1143835, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Wilk et al. realized a cavity-based interface between a single rubidium atom and individually emitted photons, first generating atom–photon entanglement and subse- quently mapping the atomic quantum state onto a second photon, thereby transferring a relationally encoded quantum structure from matter to radiation. The experiment was explicitly conceived as an elementary architecture for quantum networking in which stationary atoms function as quantum memories and photons function as mobile quantum messengers. The analysis asks whether, and in what restricted sense, this experiment can be regarded as compatible with or indirectly corroborative of propositions advanced by the Theory of Objectivity. Special attention is given to the seven Absolute Truths of the TO, understood within the theory as possessing modal rather than merely inductive necessity. The article therefore rejects a simple inferential scheme in which experimental agreement would “prove” the axioms. Instead, it proposes a layered epistemology distinguishing modal necessity, operational consequence, empirical bridge, observational compatibility, and discriminating prediction. Particular emphasis is placed on Absolute Truth II, according to which every existent element possesses its own individualizing magnetic field; Absolute Truth IV, concerning boundary and differentiation; Absolute Truth V, according to which logical existence requires relational observation or inclusion within the frequency domain of at least two other elements, with observation explicitly understood as non-human and objective; Absolute Truth VI, concerning composition from antecedent elements; and Absolute Truth VII, associated in the TO with a transcendent element identified with knowledge or information generated in atomic relations and regarded as equivalent to atomic radiation. The Wilk experiment is especially significant for the TO because it exhibits an experimentally controlled sequence in which atomic degrees of freedom, electromagnetic interaction, boundary conditions, quantum correlations, and emitted radiation jointly realize a transformation of physically encoded information. In an operational sense, information initially associated with an atomic state becomes correlated with a first photon and is subsequently transferred into a two-photon state. The experiment therefore provides a concrete empirical domain for examining the TO proposition that atomic relations generate informational structures associated with radiation. Nevertheless, a crucial distinction remains: standard quantum theory establishes that information can be encoded in and transmitted by radiation; it does not establish the stronger ontological identity between information and radiation proposed by the TO. The article further examines possible correspondences with the TO’s phenomenic elements, Inductive Effects, Cosmogonic Theorem, and Cosmological Eras. It argues that light, magnetism, electromagnetic interaction, boundary formation, information transport, and relational differentiation provide meaningful operational bridges, whereas direct extrapolation from cavity quantum electrodynamics to universal cosmogony would be methodologically unjustified. The central conclusion is that Wilk et al. provide neither a proof nor a direct experimental confirmation of the modal ontology of the Theory of Objectivity. They do, however, supply an unusually fertile empirical case in which several structures emphasized by the TO—relation, boundary, field, antecedence, atomic transformation, radiation, and information transfer—are simultaneously realized in a quantitatively controlled microscopic system. This makes the experiment particularly valuable for the development of future operational and discriminating tests of the TO. Keywords: Theory of Objectivity; atom–photon interface; quantum information; cavity quantum electrodynamics; atomic radiation; entanglement; modal ontology; information transfer; relational observation; quantum memory; transcendent element.
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 Tatjana Wilk, Si- mon C. Webster, Axel Kuhn, and Gerhard Rempe’s 2007 experiment, “Single-Atom Single-Photon Quantum Interface,” published in Science 317: 488–490, DOI 10.1126/sci- ence.1143835, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. Wilk et al. realized a cavity-based interface between a single rubidium atom and individually emitted photons, first generating atom–photon entanglement and subse- quently mapping the atomic quantum state onto a second photon, thereby transferring a relationally encoded quantum structure from matter to radiation. The experiment was explicitly conceived as an elementary architecture for quantum networking in which stationary atoms function as quantum memories and photons function as mobile quantum messengers. The analysis asks whether, and in what restricted sense, this experiment can be regarded as compatible with or indirectly corroborative of propositions advanced by the Theory of Objectivity. Special attention is given to the seven Absolute Truths of the TO, understood within the theory as possessing modal rather than merely inductive necessity. The article therefore rejects a simple inferential scheme in which experimental agreement would “prove” the axioms. Instead, it proposes a layered epistemology distinguishing modal necessity, operational consequence, empirical bridge, observational compatibility, and discriminating prediction. Particular emphasis is placed on Absolute Truth II, according to which every existent element possesses its own individualizing magnetic field; Absolute Truth IV, concerning boundary and differentiation; Absolute Truth V, according to which logical existence requires relational observation or inclusion within the frequency domain of at least two other elements, with observation explicitly understood as non-human and objective; Absolute Truth VI, concerning composition from antecedent elements; and Absolute Truth VII, associated in the TO with a transcendent element identified with knowledge or information generated in atomic relations and regarded as equivalent to atomic radiation. The Wilk experiment is especially significant for the TO because it exhibits an experimentally controlled sequence in which atomic degrees of freedom, electromagnetic interaction, boundary conditions, quantum correlations, and emitted radiation jointly realize a transformation of physically encoded information. In an operational sense, information initially associated with an atomic state becomes correlated with a first photon and is subsequently transferred into a two-photon state. The experiment therefore provides a concrete empirical domain for examining the TO proposition that atomic relations generate informational structures associated with radiation. Nevertheless, a crucial distinction remains: standard quantum theory establishes that information can be encoded in and transmitted by radiation; it does not establish the stronger ontological identity between information and radiation proposed by the TO. The article further examines possible correspondences with the TO’s phenomenic elements, Inductive Effects, Cosmogonic Theorem, and Cosmological Eras. It argues that light, magnetism, electromagnetic interaction, boundary formation, information transport, and relational differentiation provide meaningful operational bridges, whereas direct extrapolation from cavity quantum electrodynamics to universal cosmogony would be methodologically unjustified. The central conclusion is that Wilk et al. provide neither a proof nor a direct experimental confirmation of the modal ontology of the Theory of Objectivity. They do, however, supply an unusually fertile empirical case in which several structures emphasized by the TO—relation, boundary, field, antecedence, atomic transformation, radiation, and information transfer—are simultaneously realized in a quantitatively controlled microscopic system. This makes the experiment particularly valuable for the development of future operational and discriminating tests of the TO. Keywords: Theory of Objectivity; atom–photon interface; quantum information; cavity quantum electrodynamics; atomic radiation; entanglement; modal ontology; information transfer; relational observation; quantum memory; transcendent element.
This article develops an expanded critical-propositional analysis of Chien Liu, Zachary Dutton, Cyrus H. Behroozi, and Lene Vestergaard Hau’s experiment, “Observation of Coherent Optical Information Storage in an Atomic Medium Using Halted Light Pulses,” published in Nature 409 (2001): 490–493, DOI 10.1038/35054017, in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Liu et al. experimentally demonstrated the controlled storage and retrieval of coherent optical information in a magnetically trapped ultracold atomic medium through electromagnetically induced transparency (EIT). A probe pulse was dramatically slowed, spatially compressed, localized inside an atomic cloud, and effectively halted when a coupling field was switched off. Information previously carried by the optical field was thereby encoded in collective atomic amplitudes and relative phases. When the coupling field was subsequently restored, the stored coherence was read out and transferred back into a propagating radiation field. The experiment therefore provides an unusually relevant empirical domain for examining the proposition of the Theory of Objectivity that information or knowledge produced in atomic relations is physically associated with atomic radiation. The analysis distinguishes carefully among direct experimental result, structural compatibility with TO, indirect empirical corroboration of an operational bridge, and confirmation of the complete ontology of the Theory of Objectivity. The Liu experiment does not establish the Seven Absolute Truths as modal necessi- ties, nor does it independently demonstrate that information is a transcendent substance in the specific ontological sense proposed by TO. Nevertheless, it provides controlled empirical evidence that coherent information can pass from a radiative mode of physical manifestation to a collective relational state of matter and subsequently return to radiation. This radiation–atomic relation–radiation sequence is shown to be especially relevant to the Fourth, Fifth, Sixth, and Seventh Absolute Truths. Particular attention is given to the Fifth Absolute Truth, according to which logical existence requires relational observation or inclusion within the frequency domains of at least two other elements, where observation is physical and relational rather than human or psychological. The three-part EIT configuration involving the atomic medium, probe field, and coupling field offers a strong structural analogy to this triangular requirement while falling short of proving its universal modal necessity. The article also examines the Second Absolute Truth concerning the exclusive field of each existing element; the Fourth Absolute Truth concerning boundaries and interfaces; the Sixth Absolute Truth concerning compositional emergence; and the Seventh Absolute Truth concerning the transcendent informational element. The experiment is further discussed in relation to the phenomenic elements of light, electromagnetism, temperature, and information, as well as to the TO concepts of Inductive Effects, embryonic memory, Units of Memory, Units of Reason, the cosmogonic theorem, and the cosmological Eras. A methodological distinction is defended between modal necessity and empirical corroboration. An experiment may support an operational consequence or bridge derived from a modal ontology without constituting an inductive proof of modal necessity itself. On this basis, Liu et al. is interpreted as providing strong indirect empirical support for a specific operational bridge of TO: the reversible relation among radiation, atomic organization, and stored information. The deeper ontological proposition that information constitutes the transcendent substance of reality remains a distinct theoretical claim requiring further formalization and discriminating experimental predictions. Keywords: Theory of Objectivity; electromagnetically induced transparency; optical information storage; atomic coherence; information; radiation; quantum memory; modal ontology; dark-state polaritons; atomic relations; transcendent element.