Hamilton, John and Isham, Chris and Butterfield, Jeremy (2000) A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category. UNSPECIFIED.
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Abstract
We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory, and of related issues such as the Kochen-Specker theorem. This extension has two main parts: the use of von Neumann algebras as a base category (Section 2); and the relation of our generalized valuations to (i) the assignment to quantities of intervals of real numbers, and (ii) the idea of a subobject of the coarse-graining presheaf (Section 3).
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| Item Type: | Other | ||||||||||||
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| Additional Information: | Published in: International Journal of Theoretical Physics, volume 39, 2000, pages 1413-1436 | ||||||||||||
| Keywords: | Kochen-Specker theorem; von Neumann algebras; topos theory; interval-valuations; subobjects | ||||||||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics | ||||||||||||
| Depositing User: | Jeremy Butterfield | ||||||||||||
| Date Deposited: | 29 Aug 2004 | ||||||||||||
| Last Modified: | 07 Oct 2010 15:12 | ||||||||||||
| Item ID: | 1918 | ||||||||||||
| Public Domain: | No | ||||||||||||
| Subjects: | Specific Sciences > Physics > Quantum Mechanics | ||||||||||||
| Date: | 2000 | ||||||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/1918 |
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