Supporting Einstein's advocacy for local realism and hidden-variables, we show that measurement outcomes (manifest-variables) reveal the equivalence classes to which hidden-variables belong. We show that equivalence classes are the fundamental concepts that any analysis of measurement requires. We show that the correlation of manifest-variables equates to the pre- and post-measurement correlation of equivalence classes. We show that, though hidden-variables remain hidden, manifest-variables enable us to name their equivalence classes. Revealing the local realistic variables that alone determine measurement outcomes, we identify Bell's unrealistic assumption about measurements and refute his theorem. Responding to Bell’s hope for a simple constructive model of quantum entanglement, we also deliver Einstein's wish for a classical account of EPR correlations. We thus provide a basis for understanding quantum mechanics in terms of local realism and deterministic digital outcomes.
Supporting Einstein's advocacy for local realism and hidden-variables, we show that measurement outcomes (manifest-variables) reveal the equivalence classes to which hidden-variables belong. We show that equivalence classes are the fundamental concepts that any analysis of measurement requires. We show that the correlation of manifest-variables equates to the pre- and post-measurement correlation of equivalence classes. We show that, though hidden-variables remain hidden, manifest-variables enable us to name their equivalence classes. Revealing the local realistic variables that alone determine measurement outcomes, we identify Bell's unrealistic assumption about measurements and refute his theorem. Responding to Bell’s hope for a simple constructive model of quantum entanglement, we also deliver Einstein's wish for a classical account of EPR correlations. We thus provide a basis for understanding quantum mechanics in terms of local realism and deterministic digital outcomes.
Adjusting EPR (to accord with Bohr's insight), and accepting Bell's principles (but not his false inferences), we:— (i) complete the QM account of EPR correlations in a classical way; (ii) deliver Bell's hope for a simple constructive model of EPRB; (iii) justify EPR's belief that additional variables would bring locality and causality to QM's completion; (iv) refute key claims that such variables are impossible — including CHSH, Mermin's three-particle always-vs-never variant of GHZ, and this: in the context of Bell's theorem ‘it's a proven scientific fact that a violation of local realism has been demonstrated theoretically and experimentally,' (Annals of Physics Editors, 2016). In short: we refute Bell's theorem and endorse Einstein's locally-causal Lorentz-invariant worldview.
This paper presents a conceptually simple account of the EPR argument and Bell’s theorem using entangled photon polarization experiments. It clarifies how quantum correlations arise from conditioning outcomes through fundamental properties of quantum entanglement that result in conditional probability structures rather than from superluminal influences or pre-existing particle properties. Building on this analysis, the paper explores the informational and philosophical consequences of Bell violations. Hidden-variable theories are shown to entail severe informational overhead by requiring microscopic labeling of otherwise indistinguishable particles, whereas quantum mechanics encodes structure economically through relational constraints on joint outcomes. A striking but rarely-emphasized feature of Bell-type experiments is that while traditionally the geometery of the apparatus used to carry out these experiments are aligned with each other, according to quantum mechanics the physical orientations of the apparatus have no physical meaning with respect to one another at the time of measurement. The geometry is defined only locally, relative to the laboratory in which the tests is set. The essay further argues that Bell’s theorem motivates a shift from object-centered classical realism toward a form of realism referred to as “Relational Realism” wherein correlations and informational structure are ontologically primary, while objects having individual properties are contextual and derivative. This perspective dissolves the traditional realism-versus-idealism dichotomy and situates quantum mechanics as a fundamentally relational theory of physical reality rather than an incomplete classical one.
Quantum mechanics, despite its extraordinary success in describing microscopic phenomena, continues to raise foundational questions concerning measurement, nonlocality, and the nature of physical reality. These issues are exemplified by the Einstein-Podolsky-Rosen (EPR) paradox and the Bell inequality, which contrast quantum correlations with classical notions of locality and realism. In this work, we critically examine the assumptions underlying Bell’s theorem in light of the incompatible and contextual nature of quantum observables. We show that Bell’s constraint on simultaneous definite values for incompatible observables, together with the assumption of hidden variables, is not applicable to quantum mechanics itself, which is inherently nonclassical and contextual. When measurement is modeled as a local system-environment interaction within the framework of quantum decoherence, the resulting dynamics remain entirely local and unitary in the EPR scenario. Decoherence naturally selects pointer states and suppresses interference, giving rise to the appearance of wavefunction collapse consistent with quantum predictions. Importantly, the Bell correlations obtained in this framework reproduce the standard quantum results and are independent of both system-bath and inter-bath interactions, which affect only the rate of decoherence. Our analysis suggests that, in the EPR scenario, quantum mechanics can be both local and realistic when the wavefunction is treated as an ontic description of reality within the decoherence framework, offering a potential route toward a locally realistic quantum theory aligned with Einstein’s vision. This work contributes to a more rigorous foundation for quantum mechanics, providing insights that can accelerate progress in quantum computing and nanoenergy harvesting.
A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum state appears as an equivalence class of several possible particle-field configurations. Contrarily to Bell-type hidden variables models, the fields account for the non-commutative aspects of the measurements and deny the simultaneous reality of incompatible physical quantities, thereby allowing to escape EPR's ``completeness or locality'' dilemma.
Bell's inequality is widely regarded as the death knell of local hidden variable theories. However, this paper points out that Bell's argument implicitly relies on an overly narrow assumption about what constitutes a "local hidden variable"—namely, that hidden variables must assign measurement outcomes to each particle independently at the moment of measurement. This paper proposes that the deterministic correspondence established between entangled particles at the moment of their creation, and determined by initial conditions, can itself serve as a local hidden variable. As long as the polarization direction of the photons is not altered, this correspondence persists indefinitely. It is independent of whether a measurement is performed, and requires no superluminal communication to sustain. From this perspective, quantum entanglement experiments do not violate special relativity; the violation of Bell's inequality merely rules out a specific class of hidden variable models, not all forms of local realism.
In our terms, this is Bell's 1964 theorem, ‘No local hidden-variable theory can reproduce exactly the quantum mechanical predictions.' Against this, and bound by what Bell takes to be Einstein's definition of locality, we refute Bell's theorem and reveal his error. We show that Einstein was right: the physical world is local; and we advance Einstein's quest to make quantum mechanics intelligible in a classical way. With respect to understanding, and taking mathematics to be the best logic, the author is as close as an email: eprb@me.com