Consistent Quantum Mechanics Admits No Mereotopology

Axiomathes 24 (1):9-18 (2014)
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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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Citations of this work

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

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References found in this work

Between classical and quantum.Nicolaas P. Landsman - 2007 - Handbook of the Philosophy of Science 2:417--553.
Mereotopology: A theory of parts and boundaries.Barry Smith - 1996 - Data and Knowledge Engineering 20 (3):287–303.
Quantum mereotopology.Barry Smith & Berit O. Brogaard - 2002 - Annals of Mathematics and Artificial Intelligence 36 (1):153-175.

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