The theory of the Double Solution: Dynamical issues in quantum systems in the semiclassical regime

TL;DR

This paper examines the Double Solution theory in semiclassical quantum systems, addressing the dynamical mismatch issue in pilot wave models and proposing modifications to align the theory with classical dynamics.

Contribution

It analyzes the limitations of the original Double Solution model in semiclassical regimes and suggests modifications to better match classical trajectories.

Findings

Original DS model faces dynamical mismatch in semiclassical systems

Proposed modifications enable DS to follow classical dynamics

Addresses limitations of pilot wave models in semiclassical regimes

Abstract

The "dynamical mismatch" observed in quantum systems in the semiclassical regime challenge the Pilot wave model. Indeed the dynamics and properties of such systems depend on the trajectories of the classically equivalent system, whereas the de Broglie-Bohm trajectories are generically non-classical.\ In this work we examine the situation for the model favoured by de Broglie, the theory of the Double Solution (DS). We will see that the original DS model applied to semiclassical systems is also prone to the dynamical mismatch.\ However we will argue that the DS theory can be modified in order to yield propagation of the singularity in accord with the underlying classical dynamics of semiclassical systems.