An axiomatic formulation of the Montevideo interpretation of quantum mechanics

TL;DR

This paper proposes an axiomatic formulation of the Montevideo interpretation of quantum mechanics, integrating environmental decoherence and realistic clocks to address the measurement problem without classical measurement assumptions.

Contribution

It introduces a novel axiomatic framework that eliminates the privileged role of measurement and provides an objective criterion for event occurrence in quantum systems.

Findings

Formulation based solely on quantum objects

Addresses measurement problem without classical assumptions

Objective definition of events in quantum mechanics

Abstract

We make a first attempt to axiomatically formulate the Montevideo interpretation of quantum mechanics. In this interpretation environmental decoherence is supplemented with loss of coherence due to the use of realistic clocks to measure time to solve the measurement problem. The resulting formulation is framed entirely in terms of quantum objects without having to invoke the existence of measurable classical quantities like the time in ordinary quantum mechanics. The formulation eliminates any privileged role to the measurement process giving an objective definition of when an event occurs in a system.