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(2014) Axiomathes 24 (1).
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.
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Fields, C. (2014). Consistent quantum mechanics admits no mereotopology. Axiomathes 24 (1), pp. 9-18.
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