Dynamical Wave Function Collapse Models in Quantum Measure Theory

TL;DR

This paper explores collapse models within quantum measure theory, clarifying the coupling between classical and quantum histories and providing a spacetime-based perspective on their interaction.

Contribution

It introduces a histories-based framework that unifies classical and quantum systems in quantum measure theory, revealing the nature of their coupling.

Findings

Classical histories are non-dynamical and linked to quantum histories.

The approach provides a spacetime perspective on collapse models.

Coupling between classical and quantum systems is explicitly characterized.

Abstract

The structure of Collapse Models is investigated in the framework of Quantum Measure Theory, a histories-based approach to quantum mechanics. The underlying structure of coupled classical and quantum systems is elucidated in this approach which puts both systems on a spacetime footing. The nature of the coupling is exposed: the classical histories have no dynamics of their own but are simply tied, more or less closely, to the quantum histories.