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A quantum mechanical theory of local observables and local operations

Willem M. de Muynck

Foundations of Physics 14 (3):199-253 (1984)

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Local observables, nonlocality, and asymptotically separable quantum mechanics.K. Kong Wan - 1988 - Foundations of Physics 18 (9):887-911.details Quantum mechanics is troubled by the problem of nonlocality inherent in the theory. In a series of papers we explore the possibility of an algebraic formulation of quantum mechanics based on local observables which would incorporate nonlocality when small distances are involved but would be separable at large distances. This paper reviews some of the basic ideas and theories developed recently. These include a unified localization scheme, the introduction of local comoving evolution, local comoving observables, and related conservation laws. Technical (...) Download Export citation Bookmark 1 citation
On the relation between the Einstein-Podolsky-Rosen paradox and the problem of nonlocality in quantum mechanics.Willem M. de Muynck - 1986 - Foundations of Physics 16 (10):973-1002.details The EPR problem is studied both from an instrumentalistic and from a realistic point of view. Bohr's reply to the EPR paper is analyzed and demonstrated to be not completely representative of Bohr's general views on the possibility of defining properties of a microscopic object. A more faithful Bohrian answer would not have led Einstein to the conclusion that Bohr's completeness claim of quantum mechanics implies nonlocality. The projection postulate, already denounced in 1936 by Margenau as the source of the (...) Download Export citation Bookmark 5 citations
Interpretations of quantum mechanics, joint measurement of incompatible observables, and counterfactual definiteness.W. M. de Muynck, W. De Baere & H. Martens - 1994 - Foundations of Physics 24 (12):1589-1664.details The validity of the conclusion to the nonlocality of quantum mechanics, accepted widely today as the only reasonable solution to the EPR and Bell issues, is questioned and criticized. Arguments are presented which remove the compelling character of this conclusion and make clear that it is not the most obvious solution. Alternative solutions are developed which are free of the contradictions related with the nonlocality conclusion. Firstly, the dependence on the adopted interpretation is shown, with the conclusion that the alleged (...) Download Export citation Bookmark 11 citations
A derivation of local commutativity from macrocausality using a quantum mechanical theory of measurement.W. M. de Muynck & J. P. H. W. van den Eijnde - 1984 - Foundations of Physics 14 (2):111-146.details A theory of the joint measurement of quantum mechanical observables is generalized in order to make it applicable to the measurement of the local observables of field theory. Subsequently, the property of local commutativity, which is usually introduced as a postulate, is derived by means of the theory of measurement from a requirement of mutual nondisturbance, which, for local observables performed at a spacelike distance from each other, is interpreted as a requirement of macrocausality. Alternative attempts at establishing a deductive (...) Download Export citation Bookmark 4 citations

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