Consistent quantum mechanics admits no mereotopology
Quantum Physics
2014-02-10 v2
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.
Cite
@article{arxiv.1205.2887,
title = {Consistent quantum mechanics admits no mereotopology},
author = {Chris Fields},
journal= {arXiv preprint arXiv:1205.2887},
year = {2014}
}
Comments
10 pages; to appear in Axiomathes