Quantum Ghost Interference, Entanglement, and Relational Information

This article develops an expanded critical–propositional analysis of Milena D’Angelo, Yoon-Ho Kim, Sergei P. Kulik, and Yanhua Shih’s 2004 experiment, “Iden- tifying Entanglement Using Quantum Ghost Interference and Imaging,” published in Physical Review Letters, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. D’Angelo et al. investigated Einstein–Podolsky–Rosen-type entanglement in the transverse momentum and position variables of photon pairs generated through spontaneous parametric down-conversion. Their measurements yielded a momentum- sum uncertainty of ∆(kxs + kxi) = 2.5 ± 0.6 mm−1 , compared with individual transverse wave-vector uncertainties of approximately 23 mm−1 , and a position-difference uncertainty of ∆(xs − xi) = 0.11 ± 0.02 mm. They further obtained the product ∆(kxs + kxi)∆(xs − xi) = 0.3 ± 0.1 < 1. The experiment was designed to distinguish EPR-type quantum entanglement from classical momentum correlations through simultaneous satisfaction of position and momentum nonclassicality conditions (D’Angelo et al. 2004). The present analysis distinguishes three epistemological levels: empirical con- firmation of the observed quantum phenomenon; structural compatibility between the phenomenon and TO categories; and specific empirical confirmation capable of discriminating TO from standard quantum mechanics. On this basis, the experiment is found to have particularly strong structural compatibility with TO’s Fourth Absolute Truth (VA4), concerning boundary or interface; Fifth Absolute Truth (VA5), concern- ing relational observation; Sixth Absolute Truth (VA6), concerning composition; and Seventh Absolute Truth (VA7), concerning a transcendent element interpreted within TO as knowledge or information produced in atomic relations and physically associated with atomic radiation. The strongest point of contact arises from the fact that the experimentally relevant ghost-interference and ghost-image patterns do not occur in the individual counting distributions but emerge in coincidence correlations between spatially separated detection channels. The article also examines possible relations with TO’s phenomenic elements, Inductive Effects, cosmogenic theorem, and cosmological Eras. These connections are classified according to evidential strength so that experimental facts are not converted into ontological conclusions without intervening derivations. The study argues that D’Angelo et al. provides meaningful indirect empirical support for the plausibility of a relational and informational ontology but does not inde- pendently demonstrate TO, its modal axioms, its cosmogenic claims, or its distinctive interpretation of information. To transform strong compatibility into discriminatory empirical support, TO must derive quantitative predictions differing from standard quantum theory for experimentally controllable configurations involving boundaries, correlations, or information-sensitive observables. A research program for such operationalization is proposed. The final degree of dialogue between D’Angelo et al. and TO is assessed as 9.1/10: very high structural dialogue, but not exclusive empirical confirmation.