BELL NONLOCALITY UNDER STRICT EINSTEIN LOCALITY

This article develops an expanded critical–propositional analysis of Gregor Weihs, Thomas Jennewein, Christoph Simon, Harald Weinfurter, and Anton Zeilinger’s 1998 experiment, “Violation of Bell’s Inequality under Strict Einstein Locality Conditions,” in systematic dialogue with the Theory of Objectivity (TO) formulated by Vidamor Cabannas and Denivaldo Silva. Weihs et al. implemented a Bell-type experiment with polarization-entangled photons, spatially separated measurement stations, rapidly and independently selected analyzer settings, and independent time-tagged registration. The experiment was designed to impose strict spacelike separation between the relevant measurement processes and reported a CHSH value of approximately S = 2.73 ± 0.02, substantially exceeding the Bell-local bound S ≤ 2. The measurement stations were separated by approximately 400 m, whereas the relevant interval between local setting selection and detection was much shorter than the approximately 1.3 µs light-travel time between the stations (Weihs et al. 1998). The purpose of the present study is not to reinterpret the violation of Bell’s inequality as a direct experimental proof of the Theory of Objectivity. Such an inference would exceed what the experiment establishes. Instead, the article distinguishes three epistemic levels: empirical result, theoretical interpretation, and modal-ontological proposition. This distinction is fundamental because the TO presents its Absolute Truths as modal necessities, whereas Bell experiments are contingent empirical investi- gations conducted under explicit mathematical, physical, and statistical assumptions. Within this disciplined framework, the strongest dialogue between Weihs et al. and the TO is found in the Fifth Absolute Truth, according to which the logical existence of an element requires observation or frequency relation with at least two other elements, while “observation” does not mean human consciousness. The Bell experiment is intrinsically relational: the relevant quantity is constructed from joint statistics obtained at physically independent stations, and no human observer is required to produce local physical registration. A second important dialogue arises with the Seventh Absolute Truth and the TO concept of the transcendent element as knowledge or information produced in atomic relations and treated within the theory as equivalent to atomic radiation. The experiment presents a rigorous chain connecting radiation, polarization, interaction, registration, correlation, and recoverable information. Nevertheless, quantum mechanics supports the proposition that radiation can instantiate information-bearing degrees of freedom; this does not by itself demonstrate the stronger ontological identity between radiation and information proposed by the TO. The Fourth and Sixth Absolute Truths also enter the dialogue through physical boundaries, interfaces, experimental differentiation, composition, and antecedent prepa- ration. By contrast, the experiment does not directly test the First Absolute Truth concerning logical-mathematical Nothingness, the Third Absolute Truth concerning Infinity as a non-element, or the complete physical content of the Second Absolute Truth concerning a unique individuating field belonging to every existing element. The article further examines possible relations with the phenomenic elements of the TO, the EIE/EIR Inductive Effects, the Cosmogenic Theorem, the proposed cos- mological Eras, the Law of Logical Minimum, and the Alpha–Omega Test. Throughout the analysis, experimentally grounded relations are distinguished from analogical or heuristic extrapolations. A central conclusion is that Bell nonlocality should not be equated with con- trollable superluminal information transmission, nor should it be treated as automatic demonstration of any unique hidden ontology. Its importance for the TO lies in the empirical inadequacy of the relevant Bell-local class of models and in the consequent importance of relational structure. The paper therefore proposes a future operational program: the TO should derive a quantitative function, correction, threshold, probabil- ity distribution, or observable capable of differing from standard quantum mechanics. Only such a discriminating prediction can transform philosophical compatibility into an independent empirical test. Keywords: Theory of Objectivity; Bell inequality; Bell nonlocality; Einstein locality; quantum entanglement; CHSH inequality; modal ontology; relational ob- servation; information; radiation; Absolute Truths; EIE; EIR; Cosmogenic Theorem; quantum foundations; empirical testability.