Search results for 'experimental verification, violation of Bell s Inequality, quantum model, Jung theory, personality, Clifford algebra' (try it on Scholar)

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  1. Emilio Santos (2004). The Failure to Perform a Loophole-Free Test of Bell's Inequality Supports Local Realism. Foundations of Physics 34 (11):1643-1673.
    It is argued that the long standing failure to show an uncontroversial, loophole-free, empirical violation of a Bell inequality should be interpreted as a support to local realism. After defining realism and locality, this as relativistic causality, the performed experimental tests of Bell’s inequalities are commented. It is pointed out that, without any essential modification of quantum mechanics, the theory might be compatible with local realism.
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  2.  21
    Andrei Khrennikov (2009). Detection Model Based on Representation of Quantum Particles by Classical Random Fields: Born's Rule and Beyond. [REVIEW] Foundations of Physics 39 (9):997-1022.
    Recently a new attempt to go beyond quantum mechanics (QM) was presented in the form of so called prequantum classical statistical field theory (PCSFT). Its main experimental prediction is violation of Born’s rule which provides only an approximative description of real probabilities. We expect that it will be possible to design numerous experiments demonstrating violation of Born’s rule. Moreover, recently the first experimental evidence of violation was found in the triple slit interference experiment, see (...)
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  3. Itamar Pitowsky, Quantum Mechanics as a Theory of Probability.
    We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events, and the probability measures defined on it. The construction proceeds in the following steps: (a) Axioms for the algebra of events are introduced following Birkhoff and von Neumann. All axioms, except the one that expresses the uncertainty principle, are shared with the classical event space. The (...)
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  4.  8
    Andrei Khrennikov (2015). Unconditional Quantum Correlations Do Not Violate Bell’s Inequality. Foundations of Physics 45 (10):1179-1189.
    In this paper I demonstrate that the quantum correlations of polarization observables used in Bell’s argument against local realism have to be interpreted as conditional quantum correlations. By taking into account additional sources of randomness in Bell’s type experiments, i.e., supplementary to source randomness, I calculate the complete quantum correlations. The main message of the quantum theory of measurement is that complete correlations can be essentially smaller than the conditional ones. Additional sources of randomness (...)
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  5.  53
    Miklos Redei (1991). Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables. Philosophy of Science 58 (4):628-638.
    Based partly on proving that algebraic relativistic quantum field theory (ARQFT) is a stochastic Einstein local (SEL) theory in the sense of SEL which was introduced by Hellman (1982b) and which is adapted in this paper to ARQFT, the recently proved maximal and typical violation of Bell's inequalities in ARQFT (Summers and Werner 1987a-c) is interpreted in this paper as showing that Bell's inequalities are, in a sense, irrelevant for the problem of Einstein local stochastic hidden (...)
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  6.  86
    Yuji Hasegawa (2012). Entanglement Between Degrees of Freedom in a Single-Particle System Revealed in Neutron Interferometry. Foundations of Physics 42 (1):29-45.
    Initially Einstein, Podolsky, and Rosen (EPR) and later Bell shed light on the non-local properties exhibited by subsystems in quantum mechanics. Separately, Kochen and Specker analyzed sets of measurements of compatible observables and found that a consistent coexistence of these results is impossible, i.e., quantum indefiniteness of measurement results. As a consequence, quantum contextuality, a more general concept compared to non-locality, leads to striking phenomena predicted by quantum theory. Here, we report neutron interferometric experiments which (...)
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  7.  54
    D. Bohm & B. J. Hiley (1981). Nonlocality in Quantum Theory Understood in Terms of Einstein's Nonlinear Field Approach. Foundations of Physics 11 (7-8):529-546.
    We discuss Einstein's ideas on the need for a theory that is both objective and local and also his suggestion for realizing such a theory through nonlinear field equations. We go on to analyze the nonlocality implied by the quantum theory, especially in terms of the experiment of Einstein, Podolsky, and Rosen. We then suggest an objective local field model along Einstein's lines, which might explain quantum nonlocality as a coordination of the properties of pulse-like solutions of the (...)
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  8.  97
    V. M. González-Robles (2003). About a Generalization of Bell's Inequality. Foundations of Physics 33 (5):839-853.
    We make use of natural induction to propose, following John Ju Sakurai, a generalization of Bell's inequality for two spin s=n/2(n=1,2,...) particle systems in a singlet state. We have found that for any finite integer or half-integer spin Bell's inequality is violated when the terms in the inequality are calculated from a quantum mechanical point of view. In the final expression for this inequality the two members therein are expressed in terms of a single parameter θ. (...) occurs for θ in some interval of the form (α,π/2) where α parameter becomes closer and closer to π/2, as the spin grows, that is, the greater the spin number the size of the interval in which violation occurs diminishes to zero. Bell's inequality is a relationship among observables that discriminates between Einstein's locality principle and the non-local point of view of orthodox quantum mechanics. So our conclusion may also be stated by saying that for large spin numbers the non-local and local points of view agree. (shrink)
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  9. Eric G. Cavalcanti (2010). Causation, Decision Theory, and Bell's Theorem: A Quantum Analogue of the Newcomb Problem. British Journal for the Philosophy of Science 61 (3):569-597.
    I apply some of the lessons from quantum theory, in particular from Bell’s theorem, to a debate on the foundations of decision theory and causation. By tracing a formal analogy between the basic assumptions of causal decision theory (CDT)—which was developed partly in response to Newcomb’s problem— and those of a local hidden variable theory in the context of quantum mechanics, I show that an agent who acts according to CDT and gives any nonzero credence to some (...)
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  10.  14
    Robert W. Spekkens (2014). The Status of Determinism in Proofs of the Impossibility of a Noncontextual Model of Quantum Theory. Foundations of Physics 44 (11):1125-1155.
    In order to claim that one has experimentally tested whether a noncontextual ontological model could underlie certain measurement statistics in quantum theory, it is necessary to have a notion of noncontextuality that applies to unsharp measurements, i.e., those that can only be represented by positive operator-valued measures rather than projection-valued measures. This is because any realistic measurement necessarily has some nonvanishing amount of noise and therefore never achieves the ideal of sharpness. Assuming a generalized notion of noncontextuality that applies (...)
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  11.  86
    Claudio Garola & Sandro Sozzo (2011). Generalized Observables, Bell's Inequalities and Mixtures in the ESR Model for QM. Foundations of Physics 41 (3):424-449.
    The extended semantic realism (ESR) model proposes a new theoretical perspective which embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) into a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide in this review an overall view on the present status of our research on this topic. We attain in a new, shortened way a mathematical representation of the generalized observables introduced by the ESR model and a generalization of the projection postulate (...)
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  12.  22
    Thomas Bartz-Beielstein (2008). How Experimental Algorithmics Can Benefit From Mayo's Extensions to Neyman–Pearson Theory of Testing. Synthese 163 (3):385 - 396.
    Although theoretical results for several algorithms in many application domains were presented during the last decades, not all algorithms can be analyzed fully theoretically. Experimentation is necessary. The analysis of algorithms should follow the same principles and standards of other empirical sciences. This article focuses on stochastic search algorithms, such as evolutionary algorithms or particle swarm optimization. Stochastic search algorithms tackle hard real-world optimization problems, e.g., problems from chemical engineering, airfoil optimization, or bio-informatics, where classical methods from mathematical optimization fail. (...)
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  13. Peter Bierhorst (2014). A Rigorous Analysis of the Clauser–Horne–Shimony–Holt Inequality Experiment When Trials Need Not Be Independent. 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 (...)
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  14.  5
    Gábor Hofer-Szabó & Péter Vecsernyés, On the Concept of Bell's Local Causality in Local Classical and Quantum Theory.
    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 (...)
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  15.  61
    Henry P. Stapp (1979). Whiteheadian Approach to Quantum Theory and the Generalized Bell's Theorem. Foundations of Physics 9 (1-2):1-25.
    The model of the world proposed by Whitehead provides a natural theoretical framework in which to imbed quantum theory. This model accords with the ontological ideas of Heisenberg, and also with Einstein's view that physical theories should refer nominally to the objective physical situation, rather than our knowledge of that system. Whitehead imposed on his model the relativistic requirement that what happens in any given spacetime region be determined only by what has happened in its absolute past, i.e., in (...)
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  16.  4
    Fred Kronz, Range of Violations of Bell’s Inequality by Entangled Photon Pairs Entangled Photon Pairs.
    If the quantum states of measured pairs are entangled, then there are triplets of experimental configurations for which Bell’s original inequality is violated. This paper gives a concise characterization of the entire range of possible triplets of polarization measurements on entangled photon pairs for which the inequality is violated.
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  17.  14
    Henry P. Stapp (1994). Theoretical Model of a Purported Empirical Violation of the Predictions of Quantum Mechanics. Physical Review A 50:18-22.
    A generalization of Weinberg’s nonlinear quantum theory is used to model a reported violation of the predictions of orthodox quantum theory.
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  18.  75
    Itamar Pitowsky (2003). Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability. Studies in History and Philosophy of Science Part B 34 (3):395-414.
    We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such (...)
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  19.  82
    G. Giuseppe, F. Martini & D. Boschi (1996). Test of the Violation of Local Realism in Quantum Mechanics with No Use of Bell's Inequalities. Erkenntnis 45 (2-3):367 - 377.
    A novel and versatile polarization-entanglement scheme is adopted to investigate the violation of the EPR local realism for a non-maximally entangled two-photon system according to the recent nonlocality proof by Lucien Hardy. In this context the adoption of a sophisticated detection method allows direct determination of any element of physical reality (viz., determined with probability equal to unity in the words of Einstein, Podolsky and Rosen) for the pair system within complete measurements that are largely insensitive to the detector (...)
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  20.  40
    Harvey R. Brown & Christopher Gordon Timpson, Bell on Bell's Theorem: The Changing Face of Nonlocality.
    Between 1964 and 1990, the notion of nonlocality in Bell's papers underwent a profound change as his nonlocality theorem gradually became detached from quantum mechanics, and referred to wider probabilistic theories involving correlations between separated beables. The proposition that standard quantum mechanics is itself nonlocal became divorced from the Bell theorem per se from 1976 on, although this important point is widely overlooked in the literature. In 1990, the year of his death, Bell would express (...)
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  21.  3
    G. Di Giuseppe, F. De Martini & D. Boschi (1996). Test of the Violation of Local Realism in Quantum Mechanics with No Use of Bell's Inequalities. Erkenntnis 45 (2-3):367-377.
    A novel and versatile polarization-entanglement scheme is adopted to investigate the violation of the EPR local realism for a non-maximally entangled two-photon system according to the recent “nonlocality proof” by Lucien Hardy. In this context the adoption of a sophisticated detection method allows direct determination of any “element of physical reality” (viz., determined “with probability equal to unity” in the words of Einstein, Podolsky and Rosen) for the pair system within complete measurements that are largely insensitive to the detector (...)
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  22.  87
    Andrei Khrennikov (2015). CHSH Inequality: Quantum Probabilities as Classical Conditional Probabilities. 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 (...)
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  23. James T. Cushing & Ernan Mcmullin (1989). Philosophical Consequences of Quantum Theory Reflections on Bell's Theorem.
     
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  24.  21
    Gábor Hofer-Szabó & Péter Vecsernyés (2012). Reichenbach's Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom. Foundations of Physics 42 (2):241-255.
    In the paper it will be shown that Reichenbach’s Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general. Namely, for any pair of projections A, B supported in spacelike separated double cones ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ , respectively, a correlating state can be given for which there is no nontrivial common cause (system) located in the union of the backward light cones of ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ and commuting with the (...)
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  25.  98
    Leonid A. Khalfin & Boris S. Tsirelson (1992). Quantum/Classical Correspondence in the Light of Bell's Inequalities. Foundations of Physics 22 (7):879-948.
    Instead of the usual asymptotic passage from quantum mechanics to classical mechanics when a parameter tended to infinity, a sharp boundary is obtained for the domain of existence of classical reality. The last is treated as separable empirical reality following d'Espagnat, described by a mathematical superstructure over quantum dynamics for the universal wave function. Being empirical, this reality is constructed in terms of both fundamental notions and characteristics of observers. It is presupposed that considered observers perceive the world (...)
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  26. Alexander Prestel (1987). Roquette Peter. Nonstandard Aspects of Hilbert's Irreducibility Theorem. Model Theory and Algebra, A Memorial Tribute to Abraham Robinson, Edited by Saracino D. H. And Weispfenning V. B., Lecture Notes in Mathematics, Vol. 498, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, Pp. 231–275. [REVIEW] Journal of Symbolic Logic 52 (4):1056.
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  27.  41
    Józef Życiński (1990). Metafizyka W Cieniu Równań Bella [Recenzja] Philosophical Consequences of Quantum Theory: Reflections on Bell's Theorem, 1989. Zagadnienia Filozoficzne W Nauce 12.
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  28. P. A. Anninos, N. Tsagas & A. Adamopoulos (1989). A Brain Model Theory for Epilepsy and the Mechanism of Treatment with Experimental Verification Using SQUID Measurements. In Rodney M. J. Cotterill (ed.), Models of Brain Function. Cambridge University Press 405--421.
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  29. Judith Roitman (1991). Bell Murray G.. Spaces of Ideals of Partial Functions. Set Theory and its Applications, Proceedings of a Conference Held at York University, Ontario, Canada, Aug. 10–21,1987, Edited by Streprāns J. And Watson S., Lecture Notes in Mathematics, Vol. 1401, Springer-Verlag, Berlin Etc. 1989, Pp. 1–4.Dow Alan. Compact Spaces of Countable Tightness in the Cohen Model. Set Theory and its Applications, Proceedings of a Conference Held at York University, Ontario, Canada, Aug. 10–21,1987, Edited by Streprāns J. And Watson S., Lecture Notes in Mathematics, Vol. 1401, Springer-Verlag, Berlin Etc. 1989, Pp. 55–67.Nyikos Peter J.. Classes of Compact Sequential Spaces. Set Theory and its Applications, Proceedings of a Conference Held at York University, Ontario, Canada, Aug. 10–21,1987, Edited by Streprāns J. And Watson S., Lecture Notes in Mathematics, Vol. 1401, Springer-Verlag, Berlin Etc. 1989, Pp. 135–159.Tall Franklin D.. Topological Problems for Set-Theorists. Set Theory and its Applications,. [REVIEW] Journal of Symbolic Logic 56 (2):753-755.
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  30.  10
    Bertrand Hespel (1993). Bell's Theorem, Quantum Theory and Conceptions of the Universe. Ed. By Menas Kakatos. Revue Philosophique De Louvain 91 (91):522-522.
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  31. Niall Shanks (1991). James T. Cushing and Ernan McMullin, Eds., Philosophical Consequences of Quantum Theory: Reflections on Bell's Theorem Reviewed By. [REVIEW] Philosophy in Review 11 (1):22-25.
     
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  32. Walter Taylor (1975). Abian Alexander. On the Solvability of Infinite Systems of Boolean Polynomial Equations. Colloquium Mathematicum, Vol. 21 , Pp. 27–30.Abian Alexander. Generalized Completeness Theorem and Solvability of Systems of Boolean Polynomial Equations. Zeitschrift Für Mathematische Logik Und Grundlagen der Mathematik, Vol. 16 , Pp. 263–264.Bacsich Paul D.. Injectivity in Model Theory. Colloquium Mathematicum, Vol. 25 , Pp. 165–176.Bulman-Fleming S.. On Equationally Compact Semilattices. Algebra Universalis , Vol. 2 No. 2 , Pp. 146–151.Grätzer G. And Lakser H.. Equationally Compact Semilattices. Colloquium Mathematicum, Vol. 20 , Pp. 27–30.Haley David K.. On Compact Commutative Noetherian Rings. Mathematische Annalen, Vol. 189 , Pp. 272–274.McKenzie Ralph. ℵ1-Incompactness of Z. Colloquium Mathematicum, Vol. 23 , Pp. 199–202.Mycielski Jan. Some Compactifications of General Algebras. Colloquium Mathematicum, Vol. 13 No. 1 , Pp. 1–9. See Errata on Page 281 of Next Paper.Mycielski Jan and Ryll-Nard. [REVIEW] Journal of Symbolic Logic 40 (1):88-92.
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  33.  17
    Adán Cabello (2012). The Role of Bounded Memory in the Foundations of Quantum Mechanics. Foundations of Physics 42 (1):68-79.
    If quantum mechanics is correct and there is a finite upper bound for the speed of causal influences (e.g., the speed of light), then quantum mechanics is complete (i.e., it does not admit a more detailed description in terms of hidden variables). Here I show that the conclusion holds if we replace the assumption of bounded velocity by the assumption that there is a finite upper bound to the memory a finite physical system can store (e.g., the Holevo (...)
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  34.  6
    G. B. Brown (1933). The Physical Significance of the Quantum Theory. By F. A. Lindemann M.A., D.Phil., F.R.S., Professor of Experimental Philosophy in the University of Oxford. (Oxford: Clarendon Press. 1932. London: Humphrey Milford. Pp. Vi + 148. Price 7s. 6d.). [REVIEW] Philosophy 8 (29):112-.
  35. Han Geurdes, Quantum Mechanical EPRBA Covariance and Classical Probability.
    Contrary to Bell’s theorem it is demonstrated that with the use of classical probability theory the quantum correlation can be approximated. Hence, one may not conclude from experiment that all local hidden variable theories are ruled out by a violation of inequality result.
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  36.  14
    Diederik Aerts (2014). Quantum and Concept Combination, Entangled Measurements, and Prototype Theory. Topics in Cognitive Science 6 (1):129-137.
    We analyze the meaning of the violation of the marginal probability law for situations of correlation measurements where entanglement is identified. We show that for quantum theory applied to the cognitive realm such a violation does not lead to the type of problems commonly believed to occur in situations of quantum theory applied to the physical realm. We briefly situate our quantum approach for modeling concepts and their combinations with respect to the notions of “extension” (...)
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  37.  4
    David Ellerman (2016). Quantum Mechanics Over Sets: A Pedagogical Model with Non-Commutative Finite Probability Theory as its Quantum Probability Calculus. Synthese 2016:1-34.
    This paper shows how the classical finite probability theory (with equiprobable outcomes) can be reinterpreted and recast as the quantum probability calculus of a pedagogical or toy model of quantum mechanics over sets (QM/sets). There have been several previous attempts to develop a quantum-like model with the base field of ℂ replaced by ℤ₂. Since there are no inner products on vector spaces over finite fields, the problem is to define the Dirac brackets and the probability calculus. (...)
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  38. Elena R. Loubenets (2005). “Local Realism”, Bell's Theorem and Quantum “Locally Realistic” Inequalities. Foundations of Physics 35 (12):2051-2072.
    Based on the new general framework for the probabilistic description of experiments, introduced in [E.R. Loubenets, Research Report No 8, MaPhySto, University of Aarhus, Denmark (2003); Proceedings Conference “Quantum Theory, Reconsideration of Foundations”, Ser. Math. Modeling, Vol. 10 (University Press, Vaxjo, 2004), pp. 365–385], we analyze in mathematical terms the link between the validity of Bell-type inequalities under joint experiments upon a system of any type and the physical concept of “local realism”. We prove that the violation (...)
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  39.  69
    Gerd Niestegge (2013). Three-Slit Experiments and Quantum Nonlocality. Foundations of Physics 43 (6):805-812.
    An interesting link between two very different physical aspects of quantum mechanics is revealed; these are the absence of third-order interference and Tsirelson’s bound for the nonlocal correlations. Considering multiple-slit experiments—not only the traditional configuration with two slits, but also configurations with three and more slits—Sorkin detected that third-order (and higher-order) interference is not possible in quantum mechanics. The EPR experiments show that quantum mechanics involves nonlocal correlations which are demonstrated in a violation of the (...) or CHSH inequality, but are still limited by a bound discovered by Tsirelson. It now turns out that Tsirelson’s bound holds in a broad class of probabilistic theories provided that they rule out third-order interference. A major characteristic of this class is the existence of a reasonable calculus of conditional probability or, phrased more physically, of a reasonable model for the quantum measurement process. (shrink)
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  40.  34
    Thomas Filk (2011). Non-Classical Correlations in Bistable Perception? Axiomathes 21 (2):221-232.
    A violation of Bell’s inequalities is generally considered to be the Holy Grail of experimental proof that a specific natural phenomenon cannot be explained in a classical framework and is based on a non-boolean structure of predications. Generalized quantum theory allows for such non-boolean predications. We formulate temporal Bell’s inequalities for cognitive two-state systems and indicate how these inequalities can be tested. This will introduce the notion of temporally non-local measurements. The Necker-Zeno model for bistable (...)
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  41.  52
    Marian Kupczynski (2015). Bell Inequalities, Experimental Protocols and Contextuality. 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 (...)
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  42.  66
    Gabor Pallo (2011). Early Impact of Quantum Physics on Chemistry: George Hevesy's Work on Rare Earth Elements and Michael Polanyi's Absorption Theory. [REVIEW] Foundations of Chemistry 13 (1):51-61.
    After Heitler and London published their pioneering work on the application of quantum mechanics to chemistry in 1927, it became an almost unquestioned dogma that chemistry would soon disappear as a discipline of its own rights. Reductionism felt victorious in the hope of analytically describing the chemical bond and the structure of molecules. The old quantum theory has already produced a widely applied model for the structure of atoms and the explanation of the periodic system. This paper will (...)
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  43.  35
    Matej Pavšič (2005). Clifford Space as a Generalization of Spacetime: Prospects for QFT of Point Particles and Strings. [REVIEW] Foundations of Physics 35 (9):1617-1642.
    The idea that spacetime has to be replaced by Clifford space (C-space) is explored. Quantum field theory (QFT) and string theory are generalized to C-space. It is shown how one can solve the cosmological constant problem and formulate string theory without central terms in the Virasoro algebra by exploiting the peculiar pseudo-Euclidean signature of C-space and the Jackiw definition of the vacuum state. As an introduction into the subject, a toy model of the harmonic oscillator in pseudo-Euclidean (...)
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  44. Kaj B. Hansen (1995). An Inverse of Bell's Theorem. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 26 (1):63 - 74.
    A class of probability functions is studied. This class contains the probability functions of half-spin particles and spinning classical objects. A notion of realisability for these functions is defined. In terms of this notion two versions of Bell's theorem and their inverses are stated and proved.
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  45. Guillaume Adenier (ed.) (2007). Quantum Theory, Reconsideration of Foundations 4: Växjö (Sweden), 11-16 June, 2007. American Institute of Physics.
    This conference was devoted to the 80 years of the Copenhagen Interpretation, and to the question of the relevance of the Copenhagen interpretation for the present understanding of quantum mechanics. It is in this framework that fundamental questions raised by quantum mechanics, especially in information theory, were discussed throughout the conference. As has become customary in our series of conference in Växjö, we were glad to welcome a fruitful assembly of theoretical physicists, experimentalists, mathematicians and even philosophers interested (...)
     
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  46.  63
    Y. Strauss & L. P. Horwitz (2000). Representation of the Resonance of a Relativistic Quantum Field Theoretical Lee–Friedrichs Model in Lax–Phillips Scattering Theory. Foundations of Physics 30 (5):653-694.
    The quantum mechanical description of the evolution of an unstable system defined initially as a state in a Hilbert space at a given time does not provide a semigroup (exponential) decay, law. The Wigner–Weisskopf survival amplitude, describing reversible quantum transitions, may be dominated by exponential type decay in pole approximation at times not too short or too long, but, in the two channel case, for example, the pole residues are not orthogonal, and the evolution does riot correspond to (...)
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  47.  35
    Michael Miller, Haag's Theorem, Apparent Inconsistency, and the Empirical Adequacy of Quantum Field Theory.
    Haag's theorem has been interpreted as establishing that quantum field theory cannot consistently represent interacting fields. Earman and Fraser have clarified how it is possible to give mathematically consistent calculations in scattering theory despite the theorem. However, their analysis does not fully address the worry raised by the result. In particular, I argue that their approach fails to be a complete explanation of why Haag's theorem does not undermine claims about the empirical adequacy of particular quantum field theories. (...)
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  48.  16
    Paul Busch & Pekka J. Lahti (1996). The Standard Model of Quantum Measurement Theory: History and Applications. [REVIEW] Foundations of Physics 26 (7):875-893.
    The standard model of the quantum theory of measurement is based on an interaction Hamiltonian in which the observable to be measured is multiplied by some observable of a probe system. This simple Ansatz has proved extremely fruitful in the development of the foundations of quantum mechanics. While the ensuing type of models has often been argued to be rather artificial, recent advances in quantum optics have demonstrated their principal and practical feasibility. A brief historical review of (...)
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  49.  1
    Michael E. Miller (forthcoming). Haag’s Theorem, Apparent Inconsistency, and the Empirical Adequacy of Quantum Field Theory. British Journal for the Philosophy of Science:axw029.
    Haag’s theorem has been interpreted as establishing that quantum field theory cannot consistently represent interacting fields. Earman and Fraser have clarified how it is possible to give mathematically consistent calculations in scattering theory despite the theorem. However, their analysis does not fully address the worry raised by the result. In particular, I argue that their approach fails to be a complete explanation of why Haag’s theorem does not undermine claims about the empirical adequacy of particular quantum field theories. (...)
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  50.  23
    Ward Struyve (2010). On Epstein's Trajectory Model of Non-Relativistic Quantum Mechanics. Foundations of Physics 40 (11):1700-1711.
    In 1952 Bohm presented a theory about non-relativistic point-particles that move deterministically along trajectories and showed how it reproduces the predictions of standard quantum theory. This theory was actually presented before by de Broglie in 1926, but Bohm’s particular formulation of the theory inspired Epstein to come up with a different trajectory model. The aim of this paper is to examine the empirical predictions of this model. It is found that the trajectories in this model are in general very (...)
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