Dynamics for modal interpretations

An outstanding problem in so-called modal interpretations of quantum mechan ics has been the specification of a dynamics for the properties introduced in such interpretations. We develop a general framework (in the contest of the theory of stochastic processes) for specifying a dynamics for interpret ations in this class, focusing on the modal interpretation by Vermaas and D ieks. This framework admits many empirically equivalent dynamics. We give s ome examples, and discuss some of the properties of one of them. This appro ach is applicable to a wider class of theories, in particular, those using (discrete) strict effective - as in decoherence theory - superselection rul es.