Bell's theorem (1964) excludes local hidden-variable completions of quantum mechanics.This paper argues that the theorem does not exclude non-local ontological completion, andthat the Field component of the Field–Node–Cockpit (FNC) model satisfies the constraintsBell's result imposes on any viable hidden variable. The proposal is interpretive, notrevisionary: it does not modify quantum mechanical predictions but offers a frameworkwithin which quantum non-locality and phenomenal consciousness become aspects of asingle ontological structure. The paper distinguishes carefully between empirical claims (Bellviolations), ontological proposals (Field as ground), and phenomenological implications(consciousness as Field-access), arguing that these levels are compatible butmethodologically distinct.Keywords: Bell's theorem, hidden variables, non-locality, consciousness,Field–Node–Cockpit model, philosophy of physics
Bell's theorem (1964) excludes local hidden-variable completions of quantum mechanics.This paper argues that the theorem does not exclude non-local ontological completion, andthat the Field component of the Field–Node–Cockpit (FNC) model satisfies the constraintsBell's result imposes on any viable hidden variable. The proposal is interpretive, notrevisionary: it does not modify quantum mechanical predictions but offers a frameworkwithin which quantum non-locality and phenomenal consciousness become aspects of asingle ontological structure. The paper distinguishes carefully between empirical claims (Bellviolations), ontological proposals (Field as ground), and phenomenological implications(consciousness as Field-access), arguing that these levels are compatible butmethodologically distinct.Keywords: Bell's theorem, hidden variables, non-locality, consciousness,Field–Node–Cockpit model, philosophy of physics
Bell’s theorem presents a fundamental limit on the correlations achievable by any local hidden variable theory, seemingly precluding such models from reproducing quantum mechanical predictions. In this paper, we introduce a local hidden variable model based on phenomenological velocity and curvature operator techniques. By constructing a mathematical framework that maintains locality and realism, we demonstrate that it is possible to reproduce the quantum mechanical correlation functions that violate Bell’s inequalities. This challenges the conventional understanding imposed by Bell’s theorem and suggests the need for a re-examination of the foundational assumptions in quantum mechanics.
It is shown that no theory that satisfies certain premises can exclude faster-than-light influences. The premises include neither the existence of hidden variables nor counterfactual definiteness, nor any premise that effectively entails the general existence of outcomes of unperformed local measurements. All the premises are compatible with Copenhagen philosophy and the principles and predictions of relativistic quantum field theory. The present proof is contrasted with an earlier one with the same objective.
Does "epistemic non-signalling" ensure the peaceful coexistence of special relativity and quantum nonlocality? The possibility of an affirmative answer is of great importance to deterministic approaches to quantum mechanics given recent developments towards generalizations of Bell's theorem. By generalizations of Bell's theorem we here mean efforts that seek to demonstrate the impossibility of any deterministic theories to obey the predictions of Bell's theorem, including not only local hidden-variables theories (LHVTs) but, critically, of nonlocal hidden-variables theories (NHVTs) also, such as de Broglie-Bohm theory. Naturally, in light of the well-established experimental findings from quantum physics, whether or not a deterministic approach to quantum mechanics, including an emergent quantum mechanics, is logically possible, depends on compatibility with the predictions of Bell's theorem. With respect to deterministic NHVTs, recent attempts to generalize Bell's theorem have claimed the impossibility of any such approaches to quantum mechanics. The present work offers arguments showing why such efforts towards generalization may fall short of their stated goal. In particular, we challenge the validity of the use of the non-signalling theorem as a conclusive argument in favor of the existence of free randomness, and therefore reject the use of the non-signalling theorem as an argument against the logical possibility of deterministic approaches. We here offer two distinct counter-arguments in support of the possibility of deterministic NHVTs: one argument exposes the circularity of the reasoning which is employed in recent claims, and a second argument is based on the inconclusive metaphysical status of the non-signalling theorem itself. We proceed by presenting an entirely informal treatment of key physical and metaphysical assumptions, and of their interrelationship, in attempts seeking to generalize Bell's theorem on the basis of an ontic, foundational interpretation of the non-signalling theorem. We here argue that the non-signalling theorem must instead be viewed as an epistemic, operational theorem i.e. one that refers exclusively to what epistemic agents can, or rather cannot, do. That is, we emphasize that the non-signalling theorem is a theorem about the operational inability of epistemic agents to signal information. In other words, as a proper principle, the non-signalling theorem may only be employed as an epistemic, phenomenological, or operational principle. Critically, our argument emphasizes that the non-signalling principle must not be used as an ontic principle about physical reality as such, i.e. as a theorem about the nature of physical reality independently of epistemic agents e.g. human observers. One major reason in favor of our conclusion is that any definition of signalling or of non-signalling invariably requires a reference to epistemic agents, and what these agents can actually measure and report. Otherwise, the non-signalling theorem would equal a general "no-influence" theorem. In conclusion, under the assumption that the non-signalling theorem is epistemic (i.e. "epistemic non-signalling"), the search for deterministic approaches to quantum mechanics, including NHVTs and an emergent quantum mechanics, continues to be a viable research program towards disclosing the foundations of physical reality at its smallest dimensions.
Noncontextual hidden variables theories, assigning simultaneous values to all quantum mechanical observables, are inconsistent by theorems of Gleason and others. These theorems do not exclude contextual hidden variables theories, in which a complete state assigns values to physical quantities only relative to contexts. However, any contextual theory obeying a certain factorisability conditions implies one of Bell's Inequalities, thereby precluding complete agreement with quantum mechanical predictions. The present paper distinguishes two kinds of contextual theories, ‘algebraic’ and ‘environmental’, and investigates when factorisability is reasonable. Some statements by Fine about the philosophical significance of Bell's Inequalities are then assessed.
Bell’s inequality is an empirical constraint on theories with hidden variables, which Einstein, Podolsky and Rosen argued are needed to explain observed perfect correlations if keeping locality. One way to deal with the empirical violation of Bell’s inequality is by openly embracing nonlocality, in a theory like the pilot-wave theory. Nonetheless, recent proposals have revived the possibility that one can avoid nonlocality by resorting to superdeterministic theories. These are local hidden variables theories which violate statistical independence which is one assumption of Bell’s inequality. In this paper I compare and contrast these two hidden variable strategies: the pilot-wave theory and superdeterminism. I show that even if the former is nonlocal and the other is not, both are contextual. Nonetheless, in contrast with the pilot-wave theory, superdeterminist contextuality makes it impossible to test the theory (which therefore becomes unfalsifiable and unconfirmable) and renders the theory uninformative (measurement results tell us nothing about the system). It is questionable therefore whether a theory with these features is worth its costs.
This essay proposes a philosophical reading of Bell’s theorem as an ontological constraint rather than as a technical curiosity of quantum physics. Starting from the EPR argument (Einstein, Podolsky and Rosen), the demand for “completeness” is interpreted as the defence of an inventory ontology: a conception of the real as a set of pre-inscribed properties, locally attributable and defined for measurement counterfactuals. It then shows how Bell formalises this ontology, and how the CHSH inequality (Clauser–Horne–Shimony–Holt) functions as a symbol-operator: a quantitative device that renders testable the compatibility between that ontological grammar and empirically inscribable patterns of correlation. The analysis of experimental practices shifts the focus from “confirmation” to the production of public, repeatable and auditable marks, whose material status makes it possible to exclude entire classes of descriptions of the real. Against the dominant reading in terms of “non-locality” as a mechanism, it is argued that the central consequence is the failure of classical separability and the consequent need for an ontology of material non-separability. The essay concludes with a reformulation of the status of scientific truth after Bell—as material correspondence under constraint—and with a minimal map of interpretations according to their ontological costs.