Disjunctive Quantum Logic in Dynamic Perspective

Details Disjunctive Quantum Logic in Dynamic Perspective Disjunctive Quantum Logic in Dynamic Perspective

2000-11-24

arxiv.org/abs/math/0011209v5

Studia Logica 71, 1-10 (2002)

Mathematics

Logic

13 Pages; camera ready version; some corrections are made; indications and references on current progress on the matter have b

Scientific paper

In arXiv: math.LO/0011208 we proposed the {\sl intuitionistic or disjunctive representation of quantum logic}, i.e., a representation of the property lattice of physical systems as a complete Heyting algebra of logical propositions on these properties, where this complete Heyting algebra goes equipped with an additional operation, the {\sl operational resolution}, which identifies the properties within the logic of propositions. This representation has an important application ``towards dynamic quantum logic'', namely in describing the temporal indeterministic propagation of actual properties of physical systems. This paper can as such by conceived as an addendum to ``Quantum Logic in Intuitionistic Perspective'' that discusses spin-off and thus provides an additional motivation. We derive a quantaloidal semantics for dynamic disjunctive quantum logic and illustrate it for the particular case of a perfect (quantum) measurement.

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