Consistent Quantum Mechanics Admits No Mereotopology

Axiomathes (1):1-10 (2012)

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
Keywords Systems  Consistent histories  Mereological partition  Decoherence  Quantum-to-classical transition
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DOI 10.1007/s10516-012-9202-3
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Mereotopology: A Theory of Parts and Boundaries.Barry Smith - 1996 - Data and Knowledge Engineering 20 (3):287–303.

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Disentangling Nature's Joints.Tuomas Tahko - 2017 - In William Simpson, Robert Koons & Nicholas Teh (eds.), Neo-Aristotelian Perspectives on Contemporary Science. Routledge. pp. 147-166.

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