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Preferred Consistent History Sets
Authors:C Anastopoulos
Abstract:The theme of this paper is the multiplicity ofthe consistent sets of histories emerging in theconsistent-histories approach to quantum mechanics. Wepropose one criterion for choosing preferred families among them: that the physically realizablequasiclassical domain ought to be one corresponding toclassical histories. We examine the way classicalmechanics arises as a particular window, and theimportant role played by the canonical group and theHamiltonian. We finally discuss a possible implicationof our selection criterion: that only a class of Hilbertspace operators corresponds to physical quantities, and hence the full nondistributivity of thelattice of quantum propositions is redundant.
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