dorsal/arxiv
View SchemaA Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category
| Authors | J. Hamilton, C. J. Isham, J. Butterfield |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911020 |
| URL | https://arxiv.org/abs/quant-ph/9911020 |
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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"abstract": "We extend the topos-theoretic treatment given in previous papers of assigning\nvalues to quantities in quantum theory, and of related issues such as the\nKochen-Specker theorem. This extension has two main parts: the use of von\nNeumann algebras as a base category (Section 2); and the relation of our\ngeneralized valuations to (i) the assignment to quantities of intervals of real\nnumbers, and (ii) the idea of a subobject of the coarse-graining presheaf\n(Section 3).",
"arxiv_id": "quant-ph/9911020",
"authors": [
"J. Hamilton",
"C. J. Isham",
"J. Butterfield"
],
"categories": [
"quant-ph"
],
"title": "A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category",
"url": "https://arxiv.org/abs/quant-ph/9911020"
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