The Wave-Function as a Multi-Field

TL;DR

This paper advocates interpreting the wave-function as a multi-field in three-dimensional space within de Broglie--Bohm theory, arguing it is a natural and superior interpretation that clarifies misconceptions.

Contribution

It demonstrates that the wave-function can be naturally understood as a multi-field in three-dimensional space, offering a clearer interpretation over existing views.

Findings

Wave-function can be interpreted as a multi-field in 3D space

This interpretation is argued to be superior to other views

Clarifies common misconceptions about the wave-function

Abstract

It is generally argued that if the wave-function in the de Broglie--Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the wave-function as a multi-field in three-dimensional space. This approach hasn't received the attention yet it really deserves. The aim of this paper is threefold: first, we show that the wave-function is naturally and straightforwardly construed as a multi-field; second, we show why this interpretation is superior to other interpretations discussed in the literature; third, we clarify common misconceptions.