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The modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics

Olímpia Lombardi, Mario Castagnino, Juan Sebastián Ardenghi

Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern PhysicsApr 21, 201053 citations

Locality in Relativistic Quantum Mechanics

F. Coester

Few-body systems. SupplementumJan 1, 20030 citations

Events and Covariance in the Interpretation of Quantum Field Theory

Dennis Dieks

In relativistic quantum field theory the notion of a local operation is regarded as basic: each open space-time region is associated with an algebra of observables representing possible measurements performed within this region. It is much more difficult to accommodate the notions of events taking place in such regions or of localized objects. But how can the notion of a local operation be basic in the theory if this same theory would not be able to represent localized measuring devices and localized events? After briefly reviewing these difficulties we discuss a strategy for eliminating the tension, namely by interpreting quantum theory in a realist way. To implement this strategy we use the ideas of the modal interpretation of quantum mechanics. We then consider the question of whether the resulting scheme can be made Lorentz invariant.In relativistic quantum field theory the notion of a local operation is regarded as basic: each open space-time region is associated with an algebra of observables representing possible measurements performed within this region. It is much more difficult to accommodate the notions of events taking place in such regions or of localized objects. But how can the notion of a local operation be basic in the theory if this same theory would not be able to represent localized measuring devices and localized events? After briefly reviewing these difficulties we discuss a strategy for eliminating the tension, namely by interpreting quantum theory in a realist way. To implement this strategy we use the ideas of the modal interpretation of quantum mechanics. We then consider the question of whether the resulting scheme can be made Lorentz invariant.

WORLD SCIENTIFIC eBooksNov 1, 200211 citations

The modal interpretation of quantum mechanics and some of its relativistic aspects

Dennis Dieks

International Journal of Theoretical PhysicsDec 1, 19936 citations

Lorentzinvariance in modal interpretations

Rob Clifton

Abstract Although Bell’s theorem tells us that any interpretation of quantum mechanics must fail to satisfy Bell’s locality condition, the question of Lorentzinvariance is apparently left open by Bell’s theorem. In deed, it has been argued by many that nonlocality is compatible with Lorentzinvariance, given certain interpretations of the latter, or of the former. Some give a ‘weak’ interpretation of Lorentz invariance, compatible with a ‘strong’ violation of locality. For example, Bohm’s (1952) theory violates locality in a way that requires a preferred frame; but empirical Lorentzinvariance is preserved in the Bohm theory there is no experiment that could determine the preferred frame. (See, for example, Valentini (199la,b), Bohm and Hiley (1993), and Cushing (1994).) On the other hand, ‘orthodox’ interpretations of special relativity maintain a notion of ‘fundamentalAbstract Although Bell’s theorem tells us that any interpretation of quantum mechanics must fail to satisfy Bell’s locality condition, the question of Lorentzinvariance is apparently left open by Bell’s theorem. In deed, it has been argued by many that nonlocality is compatible with Lorentzinvariance, given certain interpretations of the latter, or of the former. Some give a ‘weak’ interpretation of Lorentz invariance, compatible with a ‘strong’ violation of locality. For example, Bohm’s (1952) theory violates locality in a way that requires a preferred frame; but empirical Lorentzinvariance is preserved in the Bohm theory there is no experiment that could determine the preferred frame. (See, for example, Valentini (199la,b), Bohm and Hiley (1993), and Cushing (1994).) On the other hand, ‘orthodox’ interpretations of special relativity maintain a notion of ‘fundamental

Sep 23, 20090 citations

Relativistic Covariance and the Interpretation of Quantum Mechanics

Egon Marx

Physics EssaysJun 1, 19961 citation

Locality and Lorentz-Covariance in the Modal Interpretation of Quantum Mechanics

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