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arXiv · 1205.2887

Consistent quantum mechanics admits no mereotopology

Chris Fields
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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.

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Chris Fields. 2012-05-13. Consistent quantum mechanics admits no mereotopology. https://doi.org/10.1007/s10516-012-9202-3

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