Consistent quantum mechanics admits no mereotopology
arXiv:1205.2887 · doi:10.1007/s10516-012-9202-3
Abstract
It is standardly assumed in discussions of quantum theory that physical systems can be regarded as having well-defined Hilbert spaces. It is shown here that a Hilbert space can be consistently partitioned only if its components are assumed not to interact. The assumption that physical systems have well-defined Hilbert spaces is, therefore, physically unwarranted.
10 pages; to appear in Axiomathes
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