A Topos Perspective on State-Vector Reduction
Isham, C. J.
arXiv, 0508225 / Harvested from arXiv
Text on arXiv
A preliminary investigation is made of possible applications in quantum theory of the topos formed by the collection of all $M$-sets, where $M$ is a monoid. Earlier results on topos aspects of quantum theory can be rederived in this way. However, the formalism also suggests a new way of constructing a `neo-realist' interpretation of quantum theory in which the truth values of propositions are determined by the actions of the monoid of strings of finite projection operators. By these means, a novel topos perspective is gained on the concept of state-vector reduction.
Publié le : 2005-08-30
Classification:  Quantum Physics,  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0508225,
     author = {Isham, C. J.},
     title = {A Topos Perspective on State-Vector Reduction},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508225}
}

Isham, C. J. A Topos Perspective on State-Vector Reduction. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508225/