HIDDEN MEASUREMENTS, AUTOMORPHISMS, AND DECOMPOSITIONS IN CONTEXT-DEPENDENT COMPONENTS

We investigate in which way the Hilbert space automorphisms can be imp lemented on the level of Aerts' hidden measurement representations for measurements on physical entities. Inspired by this, we propose a def inition for a 'decomposition in context-dependent components' in order to push the property structure of a physical entity on the level of t he hidden measurements. We apply this definition within the framework of quantum mechanics and we prove the existence of such a decompositio n.