The De Broglie-Bohm theory {\it is} and {\it is not} a hidden variable theory

TL;DR

This paper examines the de Broglie-Bohm theory's classification as a hidden variable theory, analyzing its compatibility with existing theorems and exploring its relation to nonlocality and Bell's inequalities.

Contribution

It clarifies the conditions under which de Broglie-Bohm theory is considered a hidden variable theory and discusses its compatibility with foundational theorems and nonlocality.

Findings

De Broglie-Bohm theory is not refuted by theorems against hidden variables.

The relation between hidden variables, nonlocality, and Bell's inequalities is elucidated.

The paper clarifies conceptual distinctions in quantum foundations.

Abstract

We will first define what is meant by ``hidden variables". Then, we will review various theorems proving the impossibility of theories introducing such variables and then show that the de Broglie-Bohm theory is not refuted by those theorems. We will also explain the relation between those theorems and nonlocality, with or without introducing Bell's inequalities.