Consistent Quantum Mechanics Admits No Mereotopology
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- Fields, C. Axiomathes (2014) 24: 9. doi:10.1007/s10516-012-9202-3
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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.