Operational statistical theories and effect algebras
Enrico G. Beltrametti, Slawomir Bugajski · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
We sketch the so called convex, or operational, framework for statistical physical theories, based on the convex set formed by the states of the physical system. A notion of observable is introduced which encompasses the ones usually adopted in classical and in quantum mechanics. In this framework a structure of effect algebra naturally arises. We also discuss a notion of extension of a descriptive physical model, pointing at the possibility of constructing classical extension of quantum mechanics.