Quantum mereotopology

Abstract
Mereotopology faces problems when its methods are extended to deal with time and change. We offer a new solution to these problems, based on a theory of partitions of reality which allows us to simulate (and also to generalize) aspects of set theory within a mereotopological framework. This theory is extended to a theory of coarse- and fine-grained histories (or finite sequences of partitions evolving over time), drawing on machinery developed within the framework of the socalled ‘consistent histories’ interpretation of quantum mechanics.
Keywords consistent histories interpretation of quantum mechanics  Roland Omnes  mereology  set theory  granular partitions
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