Consistent quantum mechanics admits no mereotopology

Chris Fields

pp. 9-18

in: Axiomathes 24 (1), 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.

Cited authors

Hilbert David