Origin of Quantum-Mechanical Complementarity and the Theory of Objectivity

This article develops an expanded critical-propositional analysis of S. Dürr, T. Nonn, and G. Rempe’s 1998 experiment, “Origin of Quantum-Mechanical Complementarity Probed by a ‘Which-Way’ Experiment in an Atom Interferometer,” published in Nature, in systematic dialogue with the Theory of Objectivity (TO) developed by Vidamor Cabannas and Denivaldo Silva. The Dürr–Nonn–Rempe experiment constitutes an especially significant empirical case because it addresses a foundational question of quantum mechanics: whether the disappearance of interference following the acquisition of which-way information must be explained through mechanical momentum disturbance, as elementary presentations of the uncertainty principle sometimes suggest, or whether complementarity emerges more fundamentally from correlations between distinguishable degrees of freedom. Using an atom interferometer based on rubidium atoms, optical Bragg diffraction, microwave manipulation of hyperfine states, and path marking through internal atomic degrees of freedom, Dürr, Nonn, and Rempe showed that interference can disappear even when the mechanical back action associated with path detection is too small to account for the observed loss of visibility (Dürr, Nonn, and Rempe 1998b). The phenomenon is instead explained through correlations between atomic motion and the internal which-way marker. Their companion quantitative experiment further examined the relation between path distinguishability D and interference visibility V , providing empirical support for the duality relation associated with Englert’s formulation, D 2 + V 2 ≤ 1. The present article examines these results under the modal and methodological discipline proposed by the Theory of Objectivity. It distinguishes three epistemological levels: (1) empirical confirmation of a physical phenomenon; (2) structural compatibility between that phenomenon and categories of the TO; and (3) specific empirical confir- mation of propositions uniquely derived from the TO. This distinction prevents the mistaken inference that an experiment compatible with an axiom thereby demonstrates the axiom’s claimed modal necessity. Particular attention is given to VA4, concerning boundary and distinction; VA5, concerning observation and relational structure; VA6, concerning composition from prior elements and relations; and VA7, concerning the transcendent element understood within the TO as knowledge or information generated in atomic relations and considered equivalent, within the theory, to atomic radiation. The experiment provides a strong empirical demonstration that physically instantiated information can be generated, stored in atomic internal states, correlated with motional alternatives, and associated with measurable changes in interference. This constitutes a potentially important indirect empirical bridge toward the informational dimensions of VA7. Nevertheless, the experiment does not by itself establish the stronger TO proposition that information is ontologically equivalent to atomic radiation, nor does it prove the necessary truth of VA1–VA7. The analysis also considers the phenomenic elements of light, electromagnetic radiation, atomic transitions, information, boundary formation, and observation; the TO concepts of Expansive and Reductive Inducing Effects (EIE/EIR); the cosmogonic theorem; and the theory’s cosmological eras. It argues that the most productive contribution of the Dürr–Nonn–Rempe experiment to the TO is not cosmological but microphysical and methodological. It suggests a possible operational program in which TO concepts of boundary, observation, and informational differentiation are mapped onto measurable quantities such as path distinguishability, coherence, visibility, mutual information, entropy, and state overlap. The resulting assessment is that the Dürr–Nonn–Rempe experiment has a high degree of dialogue with the Theory of Objectivity, particularly through VA4–VA7, while simultaneously exposing an important burden on the TO: to transform philosophical and modal correspondences into mathematically defined, quantitatively testable, and potentially discriminating empirical propositions.