Quantum, classical and intermediate II: The vanishing vector space structure

Year, pages: 1997, 241 - 266

We propose an approach where physical entities are described by the set of their states, and the set of their relevant experiments. In this framework we will study a general entity that is neither quantum nor classical. We show that the collection of eigenstate sets forms a closure structure on the set of states. We also illustrate this framework on a concrete physical example, the $ε$-example. This leads us to a model for a continuous evolution from the linear closure in vector space to the standard topological closure.

Aerts, D., Coecke, B., Durt, T., Valckenborgh, F. 1997. Quantum, classical and intermediate II: The vanishing vector space structure. In Tatra Mountains Mathematical Publications, vol. 10, no.1, pp. 241-266. 1210-3195.

Aerts, D., Coecke, B., Durt, T., Valckenborgh, F. (1997). Quantum, classical and intermediate II: The vanishing vector space structure. Tatra Mountains Mathematical Publications, 10(1), 241-266. 1210-3195.