The EPR paradox was caused by the provision that quantum variables must have pre-existing values. This type of “hidden property realism” was later falsified by Bell’s Theorem. Yet, modern interpretations of quantum entanglement still insist on the reality of pre-existing properties, whether explicitly or implicitly. Instead, they treat Bell’s inequality as a Locality Criterion. This is a questionable practice, considering that classical joint measurements also violate such inequalities for mutually exclusive wave properties. In particular, consecutive measurements of polarization produce the same coefficients of correlation as parallel measurements with polarization-entangled quanta, yet they are explicitly local. Nonetheless, they also require nonlocal interpretations if pre-existing properties are taken for granted. The solution is to reject the models with pre-existing properties for both classical and quantum wave-like phenomena.
The EPR paradox was caused by the provision that quantum variables must have pre-existing values. This type of “hidden property realism” was later falsified by Bell’s Theorem. Yet, modern interpretations of quantum entanglement still insist on the reality of pre-existing properties, whether explicitly or implicitly. Instead, they treat Bell’s inequality as a Locality Criterion. This is a questionable practice, considering that classical joint measurements also violate such inequalities for mutually exclusive wave properties. In particular, consecutive measurements of polarization produce the same coefficients of correlation as parallel measurements with polarization-entangled quanta, yet they are explicitly local. Nonetheless, they also require nonlocal interpretations if pre-existing properties are taken for granted. The solution is to reject the models with pre-existing properties for both classical and quantum wave-like phenomena.
The EPR paradox was caused by the provision that quantum variables must have pre-existing values. This type of "hidden property realism" was later falsified by Bell's Theorem. Accordingly, the physical basis for action-at-a-distance between entangled quanta was removed. Yet, modern interpretations present Bell's inequality as a Locality Criterion, as if Bell violations can only happen at the quantum level, and only with remote interactions. This is a questionable practice, considering that classical joint measurements also violate such inequalities for mutually exclusive wave properties. In particular, consecutive measurements of polarization produce the same coefficients of correlation as parallel measurements with entangled quanta, yet they are explicitly local. Furthermore, it is possible to combine parallel and consecutive measurements of Type I polarization-entangled photons in a single experiment, conclusively showing that quantum Bell violations can be local. Surprisingly, classical phenomena also require nonlocal interpretations if pre-existing properties are taken for granted. Hence, the solution is to reject the models with pre-existing properties for both classical and quantum wave-like phenomena.
Abstract One of the Bell’s assumptions in the original derivation of his inequalities was the hypothesis of locality, i.e., the absence of the influence of two remote measuring instruments on one another. That is why violations of these inequalities observed in experiments are often interpreted as a manifestation of the nonlocal nature of quantum mechanics, or a refutation of a local realism. It is well known that the Bell’s inequality was derived in its traditional form, without resorting to the hypothesis of locality and without the introduction of hidden variables, the only assumption being that the probability distributions are nonnegative. This can therefore be regarded as a rigorous proof that the hypothesis of locality and the hypothesis of existence of the hidden variables not relevant to violations of Bell’s inequalities. The physical meaning of the obtained results is examined. Physical nature of the violation of the Bell inequalities is explained under new EPR-B nonlocality postulate. We show that the correlations of the observables involved in the Bohm–Bell type experiments can be expressed as correlations of classical random variables. The revisited Bell type inequality in canonical notatons reads 〈AB〉 + 〈A’B〉 + 〈AB’〉 − 〈A’B’〉 ⩽ 6.
Eighty years ago Einstein, Podolsky and Rosen demonstrated that instantaneous reduction of wave function, believed to describe completely a pair of entangled physical systems, led to EPR paradox. The paradox disappears in statistical interpretation of quantum mechanics (QM) according to which a wave function describes only an ensemble of identically prepared physical systems. QM predicts strong correlations between outcomes of measurements performed on different members of EPR pairs in far-away locations. Searching for an intuitive explanation of these correlations John Bell analysed so called local realistic hidden variable models and proved that correlations consistent with these models satisfy Bell inequalities which are violated by some predictions of QM and by experimental data. Several different local models were constructed and inequalities proven. Some eminent physicists concluded that Nature is definitely nonlocal and that it is acting according to a law of nonlocal randomness. According to these law perfectly random, but strongly correlated events, can be produced at the same time in far away locations and a local and causal explanation of their occurrence cannot be given. We strongly disagree with this conclusion and we prove the contrary by analysing in detail some influential finite sample proofs of Bell and CHSH inequalities and so called Quantum Randi Challenges. We also show how one can win so called Bell's game without violating locality of Nature. Nonlocal randomness is inconsistent with local quantum field theory, with standard model in elementary particle physics and with causal laws and adaptive dynamics prevailing in the surrounding us world. The experimental violation of Bell-type inequalities does not prove the nonlocality of Nature but it only confirms a contextual character of quantum observables and gives a strong argument against counterfactual definiteness and against a point of view according to which experimental outcomes are produced in irreducible random way.
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.
Despite its remarkable success in describing microscopic phenomena, quantum mechanics continues to pose unresolved foundational questions concerning measurement, nonlocality, wavefunction collapse, and the nature of physical reality. These issues were highlighted by the EPR paradox. Quantum mechanics predicts that measuring one particle’s observable instantaneously determines the state of the other, seemingly violating special relativity’s prohibition of faster-than-light influences and suggesting an incomplete description of physical reality. However, Bell’s theorem has largely ruled out local hidden variable theories. In this paper, I critically examine the assumptions in deriving Bell’s theorem and demonstrate that the theorem does not apply strictly to quantum mechanics. By assuming measurement is always accompanied by uncontrollable environment interactions, I show that quantum theory can be local and realism with decoherence in EPR-like measurement. Specifically, I apply the quantum decoherence framework, pioneered by Zeh, Zurek and Leggett to analyze an EPR-like system using system-environment interactions as a measurement model. The results illustrate that measurement on one entangled particle does not instantaneously collapse the system's wavefunction. Instead, the local wavefunctions of the measured particle and its environment evolve dynamically, while the remote particle’s wavefunction remains unchanged. Environment-induced decoherence selects pointer states and rapidly suppresses quantum correlations through strictly local interactions, giving rise to the appearance of wavefunction collapse. These findings challenge the conventional interpretation of Bell’s theorem and suggest that quantum mechanics fundamentally respects locality and realism if the wavefunction is treated as an ontic entity. This work offers a potential path toward a locally realistic quantum theory in alignment with Einstein’s vision. It not only strengthens the conceptual foundations of quantum mechanics, but also carries tremendous implications for quantum information processing and computing.
This work offers a foundational, ontological re-examination of the Einstein-Podolsky-Rosen (EPR) paradox and the violation of Bell inequalities. It argues that the apparent "nonlocality" in quantum mechanics stems not from a physical mechanism of interaction, but from an inadequate ontological premise shared by classical reasoning and many interpretations of quantum theory. Core Thesis: The paradox arises from the implicit assumption that measurement outcomes in entangled systems represent independent, local facts that pre-exist or can be defined separately. The work rejects this premise. Instead, it proposes that entangled states describe indivisible ontological structures, where correlated outcomes are not separate entities to be coordinated, but inseparable aspects of a single whole. Key Conceptual Innovations: The JED Postulate (Ontological Simultaneity): The cornerstone of the framework. It posits a global constraint on the co-realization of facts: for an entangled state, individual outcomes cannot exist as autonomous facts. They can only be realized as elements of an admissible pair (e.g., {Alice+, Bob-} or {Alice-, Bob+}). This is not a temporal or causal constraint, but a structural condition for existence. Formalism of Frames and Admissibility Relations: The ontology is formalized using "frames" (sets of co-existing facts) and an "admissibility relation" R, which encodes the structure of an entangled state (e.g., for a singlet: R = {(+, -), (-, +)}). The JED postulate ensures that a frame containing one element of a related pair must contain its counterpart. The "Broken Mirror" Metaphor: A central heuristic. Entanglement is likened to a mirror broken into two complementary halves. The halves do not "communicate" to match; their perfect fit is a consequence of their common origin in a single act of breaking. Asking "which half appeared first?" or "how does one half know about the other?" is ontologically meaningless—there is no process that produces only one isolated half. Resolution of the EPR Paradox: The paradox dissolves because its first step—treating Alice's local outcome as an independent fact—is invalid within the JED ontology. There is no independent fact for locality to protect, hence no contradiction between correlations and relativistic locality. Interpretation of Bell's Theorem: The work reframes Bell's theorem. Its violation is not proof of nonlocality, but empirical evidence against the ontology of independent local facts. Bell's mathematics is correct, but its physical significance depends on ontological axioms that may not hold. The JED ontology provides a local, realistic (but not fact-local) framework consistent with the correlations. Distinction from Hidden Variables: The approach is explicitly not a hidden-variable theory. It introduces no hidden parameters λ governing individual outcomes. The relation R is a structural definition of the entangled whole, not a hidden cause of correlations. Probabilities are treated as a descriptive layer over the admissible ontological structures. Methodology: The work is developed in the spirit of the "pencil-case" methodology, constructing minimal ontological models to analyze the logical roots of physical puzzles without adding new dynamical mechanisms. Scope and Intent: The present work should be read as a contribution to the philosophy of physics: it does not aim at proposing a new physical theory, but at clarifying the ontological assumptions underlying existing formalisms. It seeks to shift the discussion from "how do the parts communicate?" to "what kind of whole do the parts constitute?" The formalism is shown to be logically consistent with the standard quantum correlation function (e.g., E(θ,φ) = -cos(θ-φ)), without deriving it, thereby separating the ontological question of admissibility from the empirical-statistical question of probability distribution. Keywords: EPR Paradox, Bell's Theorem