Non-signalling boxes and Bohrification
Mathematical Physics
2016-06-09 v2 math.MP
Quantum Physics
Abstract
The premise of this note is the following observation: the formalism of Bohrification is a natural place for the interpretation of general non-signalling theories. We demonstrate it through an analysis of so-called box-worlds, a popular framework for the discussion of systems exhibiting super-quantum correlations. In particular, we show that non-signalling box-world states are precisely the internal probability valuations on an internal frame in a Kripke topos naturally associated with a given box world.
Cite
@article{arxiv.1602.04702,
title = {Non-signalling boxes and Bohrification},
author = {Jan Gutt and Marek Kuś},
journal= {arXiv preprint arXiv:1602.04702},
year = {2016}
}
Comments
20 pages, acknowledgement added