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  1. Oversights in the Respective Theorems of von Neumann and Bell Are Homologous.Joy Christian - manuscript
    We show that the respective oversights in the von Neumann's general theorem against all hidden variable theories and Bell's theorem against their local-realistic counterparts are homologous. When latter oversight is rectified, the bounds on the CHSH correlator work out to be ±2√2 instead of ±2.
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  2. The Philosophical Implications of the Loophole-Free Violation of Bell’s Inequality: Quantum Entanglement, Timelessness, Triple-Aspect Monism, Mathematical Platonism and Scientific Morality.Gilbert B. Côté - manuscript
    The demonstration of a loophole-free violation of Bell's inequality by Hensen et al. (2015) leads to the inescapable conclusion that timelessness and abstractness exist alongside space-time. This finding is in full agreement with the triple-aspect monism of reality, with mathematical Platonism, free will and the eventual emergence of a scientific morality.
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  3. Putting Probabilities First. How Hilbert Space Generates and Constrains Them.Michael Janas, Michael Cuffaro & Michel Janssen - manuscript
    We use Bub's (2016) correlation arrays and Pitowksy's (1989b) correlation polytopes to analyze an experimental setup due to Mermin (1981) for measurements on the singlet state of a pair of spin-12 particles. The class of correlations allowed by quantum mechanics in this setup is represented by an elliptope inscribed in a non-signaling cube. The class of correlations allowed by local hidden-variable theories is represented by a tetrahedron inscribed in this elliptope. We extend this analysis to pairs of particles of arbitrary (...)
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  4. Quantum Nonlocality Explained.Ulrich J. Mohrhoff - manuscript
    Quantum theory’s violation of remote outcome independence is explained in the context of a novel interpretation of the theory, in which the unavoidable distinction between the classical and quantum domains is understood as a distinction between the manifested world and its manifestation.
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  5. Separability, Locality, and Higher Dimensions in Quantum Mechanics.Alyssa Ney - manuscript
    *A shortened version of this paper will appear in Current Controversies in Philosophy of Science, Dasgupta and Weslake, eds. Routledge.* This paper describes the case that can be made for a high-dimensional ontology in quantum mechanics based on the virtues of avoiding both nonseparability and non locality.
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  6. Entanglement of Two Josephson Junctions: Current Locking Revisited.Gary Stephens - manuscript
    In this essay we take the view that too much reality has been afforded to the notion of ‘particles’ and to ‘flow of supercurrent,’ in the superconducting state. Instead we take the original point of view of Josephson that “ It is clear that intuition is of no great help in understanding the supercurrent as a flow of Cooper pairs “ which is more akin to, and in line with, a “telegraphing of amplitudes” approach. With this conception in mind, we (...)
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  7. Bell’s Theorem, Quantum Probabilities, and Superdeterminism.Eddy Keming Chen - forthcoming - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to the Philosophy of Physics. Routledge.
    In this short survey article, I discuss Bell’s theorem and some strategies that attempt to avoid the conclusion of non-locality. I focus on two that intersect with the philosophy of probability: (1) quantum probabilities and (2) superdeterminism. The issues they raised not only apply to a wide class of no-go theorems about quantum mechanics but are also of general philosophical interest.
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  8. EPR, Bell and Quantum Probability.S. Gudder - forthcoming - Foundations of Physics.
  9. Essay Review of Tanya and Jeffrey Bub’s Totally Random: Why Nobody Understands Quantum Mechanics: A Serious Comic on Entanglement: Princeton and Oxford: Princeton University Press (2018), ISBN: 9780691176956, 272 Pp., £18.99 / $22.95. [REVIEW]Michael E. Cuffaro & Emerson P. Doyle - 2021 - Foundations of Physics 51 (1):1-16.
    This is an extended essay review of Tanya and Jeffrey Bub’s Totally Random: Why Nobody Understands Quantum Mechanics: A serious comic on entanglement. We review the philosophical aspects of the book, provide suggestions for instructors on how to use the book in a class setting, and evaluate the authors’ artistic choices in the context of comics theory. Although Totally Random does not defend any particular interpretation of quantum mechanics, we find that, in its mode of presentation, Totally Random is a (...)
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  10. A Sideways Look at Faithfulness for Quantum Correlations.Peter W. Evans - 2021 - Journal of Philosophy 118 (1):28-42.
    Despite attempts to apply causal modeling techniques to quantum systems, Wood and Spekkens argue that any causal model purporting to explain quantum correlations must be fine tuned; it must violate the assumption of faithfulness. This paper is an attempt to undermine the reasonableness of the assumption of faithfulness in the quantum context. Employing a symmetry relation between an entangled quantum system and a “sideways” quantum system consisting of a single photon passing sequentially through two polarizers, I argue that Wood and (...)
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  11. What Does the World Look Like According to Superdeterminism?Augustin Baas & Baptiste Le Bihan - 2020 - British Journal for the Philosophy of Science.
    The violation of Bell inequalities seems to establish an important fact about the world: that it is non-local. However, this result relies on the assumption of the statistical independence of the measurement settings with respect to potential past events that might have determined them. Superdeterminism refers to the view that a local, and determinist, account of Bell inequalities violations is possible, by rejecting this assumption of statistical independence. We examine and clarify various problems with superdeterminism, looking in particular at its (...)
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  12. A Stronger Bell Argument for (Some Kind of) Parameter Dependence.Paul M. Näger - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:1-28.
    It is widely accepted that the violation of Bell inequalities excludes local theories of the quantum realm. This paper presents a stronger Bell argument which even forbids certain non-local theories. The conclusion of the stronger Bell argument presented here provably is the strongest possible consequence from the violation of Bell inequalities on a qualitative probabilistic level. Since among the excluded non-local theories are those whose only non-local probabilistic connection is a dependence between the space-like separated measurement outcomes of EPR/B experiments, (...)
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  13. Reformulating Bell's Theorem: The Search for a Truly Local Quantum Theory.Mordecai Waegell & Kelvin J. McQueen - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 70:39-50.
    The apparent nonlocality of quantum theory has been a persistent concern. Einstein et al. and Bell emphasized the apparent nonlocality arising from entanglement correlations. While some interpretations embrace this nonlocality, modern variations of the Everett-inspired many worlds interpretation try to circumvent it. In this paper, we review Bell's "no-go" theorem and explain how it rests on three axioms, local causality, no superdeterminism, and one world. Although Bell is often taken to have shown that local causality is ruled out by the (...)
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  14. Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space.Joy Christian - 2019 - IEEE Access 7:133388-133409.
    In the context of EPR-Bohm type experiments and spin detections confined to spacelike hypersurfaces, a local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature (S^3 ) is presented that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism or backward causation. A singularity-free Clifford-algebraic (...)
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  15. Do the EPR Correlations Pose a Problem for Causal Decision Theory?Adam Koberinski, Lucas Dunlap & William L. Harper - 2019 - Synthese 196 (9):3711-3722.
    We argue that causal decision theory is no worse off than evidential decision theory in handling entanglement, regardless of one’s preferred interpretation of quantum mechanics. In recent works, Ahmed and Ahmed and Caulton : 4315–4352, 2014) have claimed the opposite; we argue that they are mistaken. Bell-type experiments are not instances of Newcomb problems, so CDT and EDT do not diverge in their recommendations. We highlight the fact that a Causal Decision Theorist should take all lawlike correlations into account, including (...)
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  16. Bell’s Theorem, Realism, and Locality.Peter Lewis - 2019 - In Alberto Cordero (ed.), Philosophers Look at Quantum Mechanics. Springer Verlag.
    According to a recent paper by Tim Maudlin, Bell’s theorem has nothing to tell us about realism or the descriptive completeness of quantum mechanics. What it shows is that quantum mechanics is non-local, no more and no less. What I intend to do in this paper is to challenge Maudlin’s assertion about the import of Bell’s proof. There is much that I agree with in the paper; in particular, it does us the valuable service of demonstrating that Einstein’s objections to (...)
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  17. Reconsidering No-Go Theorems From a Practical Perspective.Michael E. Cuffaro - 2018 - British Journal for the Philosophy of Science 69 (3):633-655.
    I argue that our judgements regarding the locally causal models that are compatible with a given constraint implicitly depend, in part, on the context of inquiry. It follows from this that certain quantum no-go theorems, which are particularly striking in the traditional foundational context, have no force when the context switches to a discussion of the physical systems we are capable of building with the aim of classically reproducing quantum statistics. I close with a general discussion of the possible implications (...)
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  18. On the Significance of the Gottesman–Knill Theorem.Michael E. Cuffaro - 2017 - British Journal for the Philosophy of Science 68 (1):91-121.
    According to the Gottesman–Knill theorem, quantum algorithms that utilize only the operations belonging to a certain restricted set are efficiently simulable classically. Since some of the operations in this set generate entangled states, it is commonly concluded that entanglement is insufficient to enable quantum computers to outperform classical computers. I argue in this article that this conclusion is misleading. First, the statement of the theorem is, on reflection, already evident when we consider Bell’s and related inequalities in the context of (...)
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  19. Can We Close the Bohr-Einstein Quantum Debate.Marian Kupczynski - 2017 - Philosophical Transactions of the Royal Society A 375:20160392..
    Recent experiments allowed concluding that Bell-type inequalities are indeed violated thus it is important to understand what it means and how can we explain the existence of strong correlations between outcomes of distant measurements. Do we have to announce that: Einstein was wrong, Nature is nonlocal and nonlocal correlations are produced due to the quantum magic and emerge, somehow, from outside space-time? Fortunately such conclusions are unfounded because if supplementary parameters describing measuring instruments are correctly incorporated in a theoretical model (...)
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  20. Recent Advances in Post-Quantum Physics.Jack Sarfatti - 2017 - Cosmos and History 13 (2):248-255.
  21. Quantum Nonlocality and Reality: 50 Years of Bell's Theorem.Mary Bell & Shan Gao (eds.) - 2016 - Cambridge University Press.
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  22. Local Causality, Probability and Explanation.Richard A. Healey - 2016 - In Mary Bell & Shan Gao (eds.), Quantum Nonlocality and Reality: 50 Years of Bell's Theorem. Cambridge, UK: Cambridge University Press. pp. 172 - 194.
    In papers published in the 25 years following his famous 1964 proof John Bell refined and reformulated his views on locality and causality. Although his formulations of local causality were in terms of probability, he had little to say about that notion. But assumptions about probability are implicit in his arguments and conclusions. Probability does not conform to these assumptions when quantum mechanics is applied to account for the particular correlations Bell argues are locally inexplicable. This account involves no superluminal (...)
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  23. A Generalized Definition of Bell’s Local Causality.Gábor Hofer-Szabó & Péter Vecsernyés - 2016 - Synthese 193 (10).
    This paper aims to implement Bell’s notion of local causality into a framework, called local physical theory, which is general enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell’s original idea of local causality will then arise as the classical case of our definition. First, we investigate what is needed for a local physical theory to be locally causal. Then we compare local causality with Reichenbach’s common cause principle and relate both to the Bell (...)
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  24. An Impossibility Theorem for Parameter Independent Hidden Variable Theories.Gijs Leegwater - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 54:18-34.
    Recently, Roger Colbeck and Renato Renner have claimed that ‘[n]o extension of quantum theory can have improved predictive power'. If correct, this is a spectacular impossibility theorem for hidden variable theories, which is more general than the theorems of Bell and Leggett. Also, C&R have used their claim in attempt to prove that a system's quantum-mechanical wave function is in a one-to-one correspondence with its ‘ontic' state. C&R's claim essentially means that in any hidden variable theory that is compatible with (...)
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  25. Lessons of Bell's Theorem: Nonlocality, Yes; Action at a Distance, Not Necessarily.Wayne C. Myrvold - 2016 - In Shan Gao Mary Bell (ed.), Quantum Nonlocality and Reality: 50 Years of Bell's Theorem. Cambridge: Cambridge University Press. pp. 238-260.
    Fifty years after the publication of Bell's theorem, there remains some controversy regarding what the theorem is telling us about quantum mechanics, and what the experimental violations of Bell inequalities are telling us about the world. This chapter represents my best attempt to be clear about what I think the lessons are. In brief: there is some sort of nonlocality inherent in any quantum theory, and, moreover, in any theory that reproduces, even approximately, the quantum probabilities for the outcomes of (...)
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  26. Ios. Bell. Iud. 2, 366–387 E Cil XIV, 3608: Note Esegetiche E Cronologiche.Maurizio Colombo - 2015 - Klio 97 (2):648-670.
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  27. Hidden Variables and Incompatible Observables in Quantum Mechanics.Benjamin Feintzeig - 2015 - British Journal for the Philosophy of Science 66 (4):905-927.
    This article takes up a suggestion that the reason we cannot find certain hidden variable theories for quantum mechanics, as in Bell’s theorem, is that we require them to assign joint probability distributions on incompatible observables. These joint distributions are problematic because they are empirically meaningless on one standard interpretation of quantum mechanics. Some have proposed getting around this problem by using generalized probability spaces. I present a theorem to show a sense in which generalized probability spaces can’t serve as (...)
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  28. Re-Thinking Local Causality.Simon Friederich - 2015 - Synthese 192 (1):221-240.
    There is widespread belief in a tension between quantum theory and special relativity, motivated by the idea that quantum theory violates J. S. Bell’s criterion of local causality, which is meant to implement the causal structure of relativistic space-time. This paper argues that if one takes the essential intuitive idea behind local causality to be that probabilities in a locally causal theory depend only on what occurs in the backward light cone and if one regards objective probability as what imposes (...)
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  29. On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality.Hofer-Szabó Gábor - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.
    In the paper the relation between the standard probabilistic characterization of the common cause and Bell's notion of local causality will be investigated. It will be shown that the probabilistic common cause follows from local causality if one accepts, as Bell did, two assumptions concerning the common cause: first, the common cause is localized in the intersection of the past of the correlating events; second, it provides a complete specification of the `beables' of this intersection. However, neither assumptions are a (...)
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  30. Relating Bell’s Local Causality to the Causal Markov Condition.Hofer-Szabó Gábor - 2015 - Foundations of Physics 45 (9):1110-1136.
    The aim of the paper is to relate Bell's notion of local causality to the Causal Markov Condition. To this end, first a framework, called local physical theory, will be introduced integrating spatiotemporal and probabilistic entities and the notions of local causality and Markovity will be defined. Then, illustrated in a simple stochastic model, it will be shown how a discrete local physical theory transforms into a Bayesian network and how the Causal Markov Condition arises as a special case of (...)
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  31. On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality.Gábor Hofer-Szabó - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.
    In the paper the relation between the standard probabilistic characterization of the common cause and Bell's notion of local causality will be investigated. It will be shown that the probabilistic common cause follows from local causality if one accepts, as Bell did, two assumptions concerning the common cause: first, the common cause is localized in the intersection of the past of the correlating events; second, it provides a complete specification of the `beables' of this intersection. However, neither assumptions are a (...)
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  32. Relating Bell’s Local Causality to the Causal Markov Condition.Gábor Hofer-Szabó - 2015 - Foundations of Physics 45 (9):1110-1136.
    The aim of the paper is to relate Bell’s notion of local causality to the Causal Markov Condition. To this end, first a framework, called local physical theory, will be introduced integrating spatiotemporal and probabilistic entities and the notions of local causality and Markovity will be defined. Then, illustrated in a simple stochastic model, it will be shown how a discrete local physical theory transforms into a Bayesian network and how the Causal Markov Condition arises as a special case of (...)
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  33. On the Concept of Bell's Local Causality in Local Classical and Quantum Theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2015 - Journal of Mathematical Physics 56:032303.
    The aim of this paper is to give a sharp definition of Bell's notion of local causality. To this end, first we unfold a framework, called local physical theory, integrating probabilistic and spatiotemporal concepts. Formulating local causality within this framework and classifying local physical theories by whether they obey local primitive causality---a property rendering the dynamics of the theory causal, we then investigate what is needed for a local physical theory, with or without local primitive causality, to be locally causal. (...)
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  34. CHSH Inequality: Quantum Probabilities as Classical Conditional Probabilities.Andrei Khrennikov - 2015 - Foundations of Physics 45 (7):711-725.
    In this note we demonstrate that the results of observations in the EPR–Bohm–Bell experiment can be described within the classical probabilistic framework. However, the “quantum probabilities” have to be interpreted as conditional probabilities, where conditioning is with respect to fixed experimental settings. Our approach is based on the complete account of randomness involved in the experiment. The crucial point is that randomness of selections of experimental settings has to be taken into account within one consistent framework covering all events related (...)
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  35. Bell Inequalities, Experimental Protocols and Contextuality.Marian Kupczynski - 2015 - Foundations of Physics 45 (7):735-753.
    In this paper we give additional arguments in favor of the point of view that the violation of Bell, CHSH and CH inequalities is not due to a mysterious non locality of nature. We concentrate on an intimate relation between a protocol of a random experiment and a probabilistic model which is used to describe it. We discuss in a simple way differences between attributive joint probability distributions and generalized joint probability distributions of outcomes from distant experiments which depend on (...)
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  36. John L. Bell: A Biographical Note.Alberto Peruzzi - 2015 - Aisthesis: Pratiche, Linguaggi E Saperi Dell’Estetico 8 (1):157-158.
    Born in 1945, John Lane Bell is not only one of the greatest logicians of our time, but he is also one the most gifted in the art of writing, as witnessed by the success of his introductory texts, many of which were originally written as lecture notes: their essential clarity is an exemplar of the Attic style. More generally, Bell’s works are a rare example of how rigour and sophisticated elegance can coexist.
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  37. Causal Decision Theory and EPR Correlations.Arif Ahmed & Adam Caulton - 2014 - Synthese 191 (18):4315-4352.
    The paper argues that on three out of eight possible hypotheses about the EPR experiment we can construct novel and realistic decision problems on which (a) Causal Decision Theory and Evidential Decision Theory conflict (b) Causal Decision Theory and the EPR statistics conflict. We infer that anyone who fully accepts any of these three hypotheses has strong reasons to reject Causal Decision Theory. Finally, we extend the original construction to show that anyone who gives any of the three hypotheses any (...)
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  38. Ontological Models, Preparation Contextuality and Nonlocality.Manik Banik, Some Sankar Bhattacharya, Sujit K. Choudhary, Amit Mukherjee & Arup Roy - 2014 - Foundations of Physics 44 (11):1230-1244.
    The ontological model framework for an operational theory has generated much interest in recent years. The debate concerning reality of quantum states has been made more precise in this framework. With the introduction of generalized notion of contextuality in this framework, it has been shown that completely mixed state of a qubit is preparation contextual. Interestingly, this new idea of preparation contextuality has been used to demonstrate nonlocality of some \(\psi \) -epistemic models without any use of Bell’s inequality. In (...)
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  39. A Rigorous Analysis of the Clauser–Horne–Shimony–Holt Inequality Experiment When Trials Need Not Be Independent.Peter Bierhorst - 2014 - Foundations of Physics 44 (7):736-761.
    The Clauser–Horne–Shimony–Holt (CHSH) inequality is a constraint that local hidden variable theories must obey. Quantum Mechanics predicts a violation of this inequality in certain experimental settings. Treatments of this subject frequently make simplifying assumptions about the probability spaces available to a local hidden variable theory, such as assuming the state of the system is a discrete or absolutely continuous random variable, or assuming that repeated experimental trials are independent and identically distributed. In this paper, we do two things: first, show (...)
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  40. Does Bell’s Theorem Imply Metaphysical Realism?Ron Bombardi - 2014 - In Javier Cumpa, Greg Jesson & Guido Bonino (eds.), Defending Realism: Ontological and Epistemological Investigations. De Gruyter. pp. 311-322.
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  41. Quantum Frames.Matthew J. Brown - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:1-10.
    The framework of quantum frames can help unravel some of the interpretive difficulties i the foundation of quantum mechanics. In this paper, I begin by tracing the origins of this concept in Bohr's discussion of quantum theory and his theory of complementarity. Engaging with various interpreters and followers of Bohr, I argue that the correct account of quantum frames must be extended beyond literal space–time reference frames to frames defined by relations between a quantum system and the exosystem or external (...)
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  42. Constraints on Determinism: Bell Versus Conway–Kochen.Eric Cator & Klaas Landsman - 2014 - Foundations of Physics 44 (7):781-791.
    Bell’s Theorem from Physics 36:1–28 (1964) and the (Strong) Free Will Theorem of Conway and Kochen from Notices AMS 56:226–232 (2009) both exclude deterministic hidden variable theories (or, in modern parlance, ‘ontological models’) that are compatible with some small fragment of quantum mechanics, admit ‘free’ settings of the archetypal Alice and Bob experiment, and satisfy a locality condition akin to parameter independence. We clarify the relationship between these theorems by giving reformulations of both that exactly pinpoint their resemblance and their (...)
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  43. On Modifications of Reichenbach's Principle of Common Cause in Light of Bell's Theorem.Eric G. Cavalcanti & Raymond Lal - 2014 - Journal of Physics A: Mathematical and Theoretical 47 (42):424018.
    Bellʼs 1964 theorem causes a severe problem for the notion that correlations require explanation, encapsulated in Reichenbachʼs principle of common cause. Despite being a hallmark of scientific thought, dropping the principle has been widely regarded as much less bitter medicine than the perceived alternative—dropping relativistic causality. Recently, however, some authors have proposed that modified forms of Reichenbachʼs principle could be maintained even with relativistic causality. Here we break down Reichenbachʼs principle into two independent assumptions—the principle of common cause proper and (...)
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  44. Disproof of Bell’s Theorem: Illuminating the Illusion of Entanglement.Joy Christian - 2014 - Boca Raton, Florida: BrownWalker Press.
  45. No-Forcing and No-Matching Theorems for Classical Probability Applied to Quantum Mechanics.Ehtibar N. Dzhafarov & Janne V. Kujala - 2014 - Foundations of Physics 44 (3):248-265.
    Correlations of spins in a system of entangled particles are inconsistent with Kolmogorov’s probability theory (KPT), provided the system is assumed to be non-contextual. In the Alice–Bob EPR paradigm, non-contextuality means that the identity of Alice’s spin (i.e., the probability space on which it is defined as a random variable) is determined only by the axis $\alpha _{i}$ chosen by Alice, irrespective of Bob’s axis $\beta _{j}$ (and vice versa). Here, we study contextual KPT models, with two properties: (1) Alice’s (...)
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  46. 7 Causal Realism in the Context of Bell-Type Experiments.Matthias Egg - 2014 - In Scientific Realism in Particle Physics: A Causal Approach. De Gruyter. pp. 103-136.
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  47. On Leggett Theories: A Reply.Federico Laudisa - 2014 - Foundations of Physics 44 (3):296-304.
    In his 2013 Foundations of Physics paper Mathias Egg claims to show that my critical arguments toward the foundational significance of Leggett’s non-local theories are misguided. The main motivation is that my argument would connect too strongly the Leggett original motivation for introducing this new class of theories with the foundational significance of these theories per se. Egg basically aims to show that, although it can be conceded that the Leggett original motivation relies on a mistaken view of the original (...)
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  48. Measurement Independence, Parameter Independence and Non-Locality.Iñaki San Pedro - 2014 - European Journal for Philosophy of Science 4 (3):369-374.
    In a recent paper in this Journal San Pedro I formulated a conjecture relating Measurement Independence and Parameter Independence, in the context of common cause explanations of EPR correlations. My conjecture suggested that a violation of Measurement Independence would entail a violation of Parameter Independence as well. Leszek Wroński has shown that conjecture to be false. In this note, I review Wroński’s arguments and agree with him on the fate of the conjecture. I argue that what is interesting about the (...)
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  49. Strong Constraints on Models That Explain the Violation of Bell Inequalities with Hidden Superluminal Influences.Valerio Scarani, Jean-Daniel Bancal, Antoine Suarez & Nicolas Gisin - 2014 - Foundations of Physics 44 (5):523-531.
    We discuss models that attempt to provide an explanation for the violation of Bell inequalities at a distance in terms of hidden influences. These models reproduce the quantum correlations in most situations, but are restricted to produce local correlations in some configurations. The argument presented in (Bancal et al. Nat Phys 8:867, 2012) applies to all of these models, which can thus be proved to allow for faster-than-light communication. In other words, the signalling character of these models cannot remain hidden.
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  50. Parity Proofs of the Kochen–Specker Theorem Based on the 120-Cell.Mordecai Waegell & P. K. Aravind - 2014 - Foundations of Physics 44 (10):1085-1095.
    It is shown how the 300 rays associated with the antipodal pairs of vertices of a 120-cell (a four-dimensional regular polytope) can be used to give numerous “parity proofs” of the Kochen–Specker theorem ruling out the existence of noncontextual hidden variables theories. The symmetries of the 120-cell are exploited to give a simple construction of its Kochen–Specker diagram, which is exhibited in the form of a “basis table” showing all the orthogonalities between its rays. The basis table consists of 675 (...)
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