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Connectedness Applied to Closure Spaces and State Property Systems

Diederik Aerts·Didier Deses·An Van der Voorde
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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'

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Diederik Aerts, Didier Deses, An Van der Voorde. 2002-05-26. Connectedness Applied to Closure Spaces and State Property Systems. https://arxiv.org/abs/quant-ph/0205163

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