Experimental tests of distributivity
β Scribed by Lawrence J. Landau
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 171 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
β¦ Synopsis
The Cirel'son bound for the EPR experimental set-up provides a test of the distributivity of the observable algebra and is thus satisfied by Jordan algebras and distributive Segal algebras. By means of nondistributive algebras, the Cirel'son bound may be violated and the Rastall limit attained. It is also shown that Sherman's nondistributive Segal algebras are unsuitable as algebraic models of physical systems.
π SIMILAR VOLUMES
For any Set-endofunctor F, the category SetF of F-coalgebras has preimages, i.e. pullbacks along an injective map. If F preserves preimages, then SetF is distributive, and the converse holds, whenever SetF has ΓΏnite products.