Axiomathes 24 (1):9-18 (2014)

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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DOI 10.1007/s10516-012-9202-3
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References found in this work BETA

Quantum Mereotopology.Barry Smith & Berit O. Brogaard - 2002 - Annals of Mathematics and Artificial Intelligence 36 (1):153-175.
The Quasiclassical Realms of This Quantum Universe.James B. Hartle - 2011 - Foundations of Physics 41 (6):982-1006.
A Consistent Quantum Ontology.Robert B. Griffiths - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (2):93-114.

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