Connectedness Applied to Closure Spaces and State Property Systems
Quantum Physics
2007-05-23 v1
Abstract
In earlier work a description of a physical entity is given by means of a state property system and it is proven that any state property system is equivalent to a closure space. In the present paper we investigate the relations between classical properties and connectedness for closure spaces. The main result is a decomposition theorem, which allows us to split a state property system into a number of 'pure nonclassical state property systems' and a 'totally classical state property system'
Cite
@article{arxiv.quant-ph/0205163,
title = {Connectedness Applied to Closure Spaces and State Property Systems},
author = {Diederik Aerts and Didier Deses and An Van der Voorde},
journal= {arXiv preprint arXiv:quant-ph/0205163},
year = {2007}
}
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8 pages