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Local primitive causality and the common cause principle in quantum field theory
 FOUND. PHYS
, 2002
"... If {A(V)} is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system (A(V 1), A(V 2), f) is said to satisfy the Weak Reichenbach’s Common Cause Principle iff for every pai ..."
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Cited by 23 (5 self)
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If {A(V)} is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system (A(V 1), A(V 2), f) is said to satisfy the Weak Reichenbach’s Common Cause Principle iff for every pair of projections A ¥ A(V 1), B ¥ A(V 2) correlated in the normal state f there exists a projection C belonging to a von Neumann algebra associated with a spacetime region V contained in the union of the backward light cones of V 1 and V 2 and disjoint from both V 1 and V 2, a projection having the properties of a Reichenbachian common cause of the correlation between A and B. It is shown that if the net has the local primitive causality property then every local system (A(V 1), A(V 2), f) with a locally normal and locally faithful state f and suitable bounded V 1 and V 2 satisfies the
Reichenbach's Common Cause Principle and Quantum Field Theory
, 1997
"... Reichenbach's principle of a probabilistic common cause of probabilistic correlations is formulated in terms of relativistic quantum field theory and the problem is raised whether correlations in relativistic quantum field theory between events represented by projections in local observable alg ..."
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Cited by 19 (6 self)
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Reichenbach's principle of a probabilistic common cause of probabilistic correlations is formulated in terms of relativistic quantum field theory and the problem is raised whether correlations in relativistic quantum field theory between events represented by projections in local observable algebras A(V1) and A(V2) pertaining to spacelike separated spacetime regions V1 and V2 can be explained by finding a probabilistic common cause of the correlation in Reichenbach's sense. While this problem remains open, it is shown that if all superluminal correlations predicted by the vacuum state between events in A(V1) and A(V2) have a genuinely probabilistic common cause, then the local algebras A(V1) and A(V2) must be statistically independent in the sense of C*independence.
Remarks on causality in relativistic quantum field theory
 International Journal of Theoretical Physics
, 2005
"... It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections in local von Neumann algebras A(V1), A(V2) associated with spacelike separated spacetime regions V1, V2 have a (Reichenbachian) common cause located in the union of the backw ..."
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Cited by 5 (1 self)
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It is shown that the correlations predicted by relativistic quantum field theory in locally normal states between projections in local von Neumann algebras A(V1), A(V2) associated with spacelike separated spacetime regions V1, V2 have a (Reichenbachian) common cause located in the union of the backward light cones of V1 and V2. Further comments on causality and independence in quantum field theory are made. 1
From Einstein’s Theorem to Bell’s Theorem: A History of Quantum Nonlocality
, 2005
"... Abstract. In this Einstein Year of Physics it seems appropriate to look at an important aspect of Einstein’s work that is often downplayed: his contribution to the debate on the interpretation of quantum mechanics. Contrary to physics ‘folklore’, Bohr had no defence against Einstein’s 1935 attack ( ..."
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Cited by 3 (0 self)
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Abstract. In this Einstein Year of Physics it seems appropriate to look at an important aspect of Einstein’s work that is often downplayed: his contribution to the debate on the interpretation of quantum mechanics. Contrary to physics ‘folklore’, Bohr had no defence against Einstein’s 1935 attack (the EPR paper) on the claimed completeness of orthodox quantum mechanics. I suggest that Einstein’s argument, as stated most clearly in 1946, could justly be called Einstein’s reality–locality– completeness theorem, since it proves that one of these three must be false. Einstein’s instinct was that completeness of orthodox quantum mechanics was the falsehood, but he failed in his quest to find a more complete theory that respected reality and locality. Einstein’s theorem, and possibly Einstein’s failure, inspired John Bell in 1964 to prove his reality–locality theorem. This strengthened Einstein’s theorem (but showed the futility of his quest) by demonstrating that either reality or locality is a falsehood. This revealed the full nonlocality of the quantum world for the first time.
Quantum Mechanics: From Realism to Intuitionism  A mathematical and philosophical investigation
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John von Neumann on quantum correlations
"... In an (unpublished) letter by von Neumann to Schrödinger (dated April 11, 1936) von Neumann replies to Schrödinger’s two famous 1935 papers, in which the notion of entanglement between spatially separated quantum systems is introduced and the probabilistic correlations arising from entanglement is ..."
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In an (unpublished) letter by von Neumann to Schrödinger (dated April 11, 1936) von Neumann replies to Schrödinger’s two famous 1935 papers, in which the notion of entanglement between spatially separated quantum systems is introduced and the probabilistic correlations arising from entanglement is discussed from the perspective of a possible clash between quantum mechanics and the principle of physical locality. By quoting extensively from von Neumann’s letter it will be seen that von Neumann position concerning such correlations is that they are unproblematic as long as (i) one can (at least in principle) assume that the correlations are explainable by common causes, or (ii) probabilities are interpreted subjectively. It will be argued that while a subjective interpretation of quantum probabilities is difficult to accept in a quantum context, a common cause type explanation of quantum correlations might be possible under a suitable specification of common cause.
Local Primitive Causality and the Common Cause Principle in Quantum Field Theory
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Reichenbach’s notion of common cause
, 2008
"... On Reichenbach’s common cause principle and ..."
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