A no-go theorem for $\Psi-$anomic models under the restricted ontic indifference assumption

TL;DR

This paper proves that under the assumption of restricted ontic indifference, all anomic models of the wavefunction are incompatible with quantum formalism, extending previous no-go theorems.

Contribution

It introduces new constraints based on restricted ontic indifference and demonstrates that these eliminate all anomic models of the wavefunction.

Findings

Hardy theorem rules out all anomic models under restricted ontic indifference

Extends PBR and Hardy no-go theorems to broader classes of models

Shows incompatibility of anomic interpretations with quantum formalism

Abstract

We address the question of whether a non-nomological (i.e., anomic) interpretation of the wavefunction is compatible with the quantum formalism. After clarifying the distinction between ontic, epistemic, nomic and anomic models we focus our attention on two famous no-go theorems due to Pusey, Barrett, and Rudolph (PBR) on the one side and Hardy on the other side which forbid the existence of anomic-epistemic models. Moreover, we demonstrate that the so called restricted ontic indifference introduced by Hardy induces new constraints. We show that after modifications the Hardy theorem actually rules out all anomic models of the wavefunction assuming only restricted ontic indifference and preparation independence.