Quantum Observables and a Model of Noncommutativity

TL;DR

This paper introduces a generalized framework for quantum observables that allows for dynamic emergence of noncommutativity in models where basic entities possess definite properties, challenging traditional quantum no-go theorems.

Contribution

It presents a novel ontological model that generalizes quantum observables and demonstrates how noncommutativity can arise dynamically in systems with definite properties.

Findings

Noncommutativity can be modeled dynamically in ontological frameworks.

The model relates to no-go theorems and hidden variable theories.

Definite properties are maintained in the basic entities of the model.

Abstract

This paper considers a generalization of the notion of quantum observables in ontological models of quantum mechanics. Within this framework it is possible to construct physical models where quantum noncommutativity can arise dynamically. Unlike quantum systems, the basic entities in this model have definite properties. Relations with no-go theorems and other hidden variable theories are also discussed.