Theoretical analysis evaluates loophole-free Bell inequality violations in entangled photon systems, suggesting operational benchmarks for relational and modal frameworks of physical objectivity.
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.
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Vidamor Cabannas (2026) studied this question.