15 found
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  1.  19
    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 (...)
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  2.  6
    Gábor Hofer-Szabó & Péter Vecsernyés, Bell's Local Causality for Philosophers.
    This paper is the philosopher-friendly version of our more technical work. It aims to give a clear-cut definition of Bell's notion of local causality. Having provided a framework, called local physical theory, which integrates probabilistic and spatiotemporal concepts, we formulate the notion of local causality and relate it to other locality and causality concepts. Then we compare Bell's local causality with Reichenbach's Common Cause Principle and relate both to the Bell inequalities. We find a nice parallelism: both local causality and (...)
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  3.  17
    Gábor Hofer-Szabó & Péter Vecsernyés (2013). Bell Inequality and Common Causal Explanation in Algebraic Quantum Field Theory. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
    Bell inequalities, understood as constraints between classical conditional probabilities, can be derived from a set of assumptions representing a common causal explanation of classical correlations. A similar derivation, however, is not known for Bell inequalities in algebraic quantum field theories establishing constraints for the expectation of specific linear combinations of projections in a quantum state. In the paper we address the question as to whether a ‘common causal justification’ of these non-classical Bell inequalities is possible. We will show that although (...)
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  4.  3
    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 causal. (...)
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  5.  93
    Gábor Hofer-Szabó & Miklós Rédei (2006). Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist. Foundations of Physics 36 (5):745-756.
    A partition $\{C_i\}_{i\in I}$ of a Boolean algebra Ω in a probability measure space (Ω, p) is called a Reichenbachian common cause system for the correlation between a pair A,B of events in Ω if any two elements in the partition behave like a Reichenbachian common cause and its complement; the cardinality of the index set I is called the size of the common cause system. It is shown that given any non-strict correlation in (Ω, p), and given any finite (...)
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  6.  45
    Gábor Hofer-Szabó (2015). Relating Bell’s Local Causality to the Causal Markov Condition. 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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  7. Gábor Hofer-Szabó, Miklós Rédei & László E. Szabó (2002). Common-Causes Are Not Common Common-Causes. Philosophy of Science 69 (4):623-636.
    A condition is formulated in terms of the probabilities of two pairs of correlated events in a classical probability space which is necessary for the two correlations to have a single (Reichenbachian) common-cause and it is shown that there exists pairs of correlated events probabilities of which violate the necessary condition. It is concluded that different correlations do not in general have a common common-cause. It is also shown that this conclusion remains valid even if one weakens slightly Reichenbach's definition (...)
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  8.  17
    Gabor Hofer-Szabo & Miklos Redei, Reichenbachian Common Cause Systems.
    A partition $\{C_i\}_{i\in I}$ of a Boolean algebra $\cS$ in a probability measure space $(\cS,p)$ is called a Reichenbachian common cause system for the correlated pair $A,B$ of events in $\cS$ if any two elements in the partition behave like a Reichenbachian common cause and its complement, the cardinality of the index set $I$ is called the size of the common cause system. It is shown that given any correlation in $(\cS,p)$, and given any finite size $n>2$, the probability space (...)
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  9.  10
    Zalán Gyenis, Miklós Rédei & Gábor Hofer-Szabó, Conditioning Using Conditional Expectations: The Borel-Kolmogorov Paradox.
    The Borel-Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes' formula, which looses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize, and this theory allows conditionalization with respect to probability zero events. The conditional probabilities on (...)
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  10.  10
    Gabor Hofer-Szabo, Miklos Redei & Laszlo E. Szabo (2002). Common-Causes Are Not Common Common-Causes. Philosophy of Science 69 (4):623-636.
    A condition is formulated in terms of the probabilities of two pairs of correlated events in a classical probability space which is necessary for the two correlations to have a single (Reichenbachian) common-cause and it is shown that there exists pairs of correlated events probabilities of which violate the necessary condition. It is concluded that different correlations do not in general have a common common-cause. It is also shown that this conclusion remains valid even if one weakens slightly Reichenbach's definition (...)
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  11.  37
    Gábor Hofer-Szabó (2007). Separate- Versus Common -Common-Cause-Type Derivations of the Bell Inequalities. Synthese 163 (2):199 - 215.
    Standard derivations of the Bell inequalities assume a common common cause system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper (Grasshoff et al., 2005) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect correlations can be reduced to the assumptions (...)
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  12.  13
    Gábor Hofer-Szabó (2015). On the Relation Between the Probabilistic Characterization of the Common Cause and Bell׳s Notion of Local Causality. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49:32-41.
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  13. Gábor Hofer-Szabó (2011). Bell(Δ) Inequalities Derived From Separate Common Causal Explanation of Almost Perfect EPR Anticorrelations. Foundations of Physics 41 (8):1398-1413.
    It is a well known fact that a common common causal explanation of the EPR scenario which consists in providing a local, non-conspiratorial common common cause system for a set of EPR correlations is excluded by various Bell inequalities. But what if we replace the assumption of a common common cause system by the requirement that each correlation of the set has a local, non-conspiratorial separate common cause system? In the paper we show that this move does not yield a (...)
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  14.  2
    Gábor Hofer-Szabó & Péter Vecsernyés (forthcoming). A Generalized Definition of Bell’s Local Causality. Synthese:1-13.
    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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  15. Gábor Hofer-Szabó (2008). Separate- Versus Common-Common-Cause-Type Derivations of the Bell Inequalities. Synthese 163 (2):199-215.
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