Representation of State Property Systems
Diederik Aerts, Sylvia Pulmannova
TL;DR
This paper introduces a new axiomatization of standard quantum mechanics based on state property systems, generalizing the concept of superposition to better model physical systems.
Contribution
It develops a novel axiomatization framework for quantum mechanics using state property systems and extends the superposition concept within this formalism.
Findings
New axiomatization for quantum mechanics
Generalized superposition in state property systems
Enhanced modeling of physical systems
Abstract
A 'state property system' is the mathematical structure which models an arbitrary physical system by means of its set of states, its set of properties, and a relation of 'actuality of a certain property for a certain state'. We work out a new axiomatization for standard quantum mechanics, starting with the basic notion of state property system, and making use of a generalization of the standard quantum mechanical notion of 'superposition' for state property systems.
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