Interpretation of the Klein-Gordon Probability Density

TL;DR

This paper explores how the Klein-Gordon probability density, despite its negativity, can be interpreted within a particle ontology by distinguishing measurement outcomes from particle positions, implying retrocausality.

Contribution

It offers a novel interpretation of Klein-Gordon probability density that reconciles it with particle ontology, highlighting the role of retrocausality.

Findings

Negative probability densities can be compatible with particle interpretations.

Distinguishing measurement outcomes from particle positions resolves interpretational issues.

Retrocausality plays a key role in the proposed interpretation.

Abstract

The fact that the probability density expression provided by the Klein-Gordon equation can take on negative values is usually seen as an obstacle to formulating a particle interpretation of quantum mechanics. Nevertheless, reconciling this expression with a particle ontology is quite possible once a careful distinction is drawn between the outcomes of measurements and the positions of particles between measurements. Following this path, however, points to the involvement of retrocausality, as proposed by various authors in other contexts.