A geometrical dual to relativistic Bohmian mechanics - the multi particle case

TL;DR

This paper reveals a duality between relativistic Bohmian mechanics for multiple bosonic particles and a classical curved spacetime theory, extending to electromagnetic interactions via the Klein-Gordon equation.

Contribution

It introduces a novel dual description of relativistic Bohmian mechanics in terms of classical curved spacetime, including electromagnetic interactions.

Findings

Duality between Bohmian mechanics and classical curved spacetime

Extension to electromagnetic interactions with Klein-Gordon equation

Provides a new geometric perspective on quantum relativistic systems

Abstract

In this article it is shown that the fundamental equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of curved space-time. We further generalize the results to interactions with an external electromagnetic field, which corresponds to the minimally coupled Klein-Gordon equation.