# Do psi-ontology theorems prove that the wave function is not epistemic?

## TL;DR

This paper challenges the claim that $ extit{ extbf{psi}}$-ontology theorems prove the wave function is not epistemic, by providing a counterexample and clarifying misconceptions about the criteria used to interpret the wave function.

## Contribution

It introduces a $ extit{ extbf{psi}}$-epistemic interpretation with a configuration space trajectory, showing $ extit{ extbf{psi}}$-ontology theorems cannot definitively exclude epistemic views.

## Key findings

- Counterexample with configuration space trajectory
- Overlap of states is not sufficient for epistemic interpretation
- Misleading use of hidden variables as part of the system state

## Abstract

As a counterexample to $\psi$-ontology theorems we consider a $\psi$-epistemic interpretation of the wave function in the configuration space representation with a configuration space trajectory defining the ontology. This shows that $\psi$-ontology theorems appear unable to prove that the wave function cannot be interpreted as epistemic. We identify the criterion used to decide if $\psi$ is epistemic or ontological as the misleading part. Different states having overlaps is only sufficient for being epistemic. In an epistemic interpretation the information which completely identifies the wave function also has an objective base in reality - the preparation procedure, which has to be really executed to prepare a state. Naming the $\lambda \in \Lambda$ "hidden variables" and considering them as part of the state of the system we also identify as misleading, because it hides the possibility that they may be visible and external to the system. This leads to further misconceptions about the consequences of the theorems.