6 citations · 23 across the 6 of their papers we have counts for
6 papers
Decomposition Theorem for State Property Systems
Diederik Aerts, Didier Deses, Bart D'Hooghe
We prove a decomposition theorem for orthocomplemented state property systems. More specifically we prove that an orthocomplemented state property system is isomorphic to the direc…
Classicality and connectedness for state property systems and closure spaces
Diederik Aerts, Didier Deses, Ann Van der Voorde
It has been shown that there is a categorical equivalence between the category SPS of state property systems and the category Cl of closure spaces. In this note we prove, using thi…
State Property Systems and Closure Spaces: Extracting the Classical and Nonclassical Parts
Diederik Aerts, Didier Deses
We introduce classical properties using the concept of super selection rule, i.e. two properties are separated by a superselection rule iff there do not exist 'superposition states…
On completeness in a non-Archimedean setting via firm reflections
D. Deses, E. Lowen-Colebunders
We develop a completion theory for (general) non-Archimedean spaces based on the theory on "a categorical concept of completion of objects" as introduced by G.C.L. Brümmer and E. G…
State property systems and orthogonality
Dirk Aerts, Didier Deses
The structure of a state property system was introduced to formalize in a complete way the operational content of the Geneva-Brussels approach to the foundations of quantum mechani…
Connectedness Applied to Closure Spaces and State Property Systems
Diederik Aerts, Didier Deses, An Van der Voorde
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…