A Toy Model for Local and Deterministic Wave-function Collapse

TL;DR

This paper introduces a local, deterministic toy model for quantum mechanics that reproduces quantum predictions while maintaining local causality, but it violates statistical independence and does not allow superluminal signaling.

Contribution

The paper presents a novel local and deterministic toy model for quantum mechanics that reproduces quantum predictions without fine-tuning or superluminal signaling.

Findings

Model reproduces quantum predictions when averaged over hidden variables

Model depends only on measurement settings at detection time

Model is locally causal but violates statistical independence

Abstract

A local, deterministic toy model for quantum mechanics is introduced and discussed. It is demonstrated that, when averaged over the hidden variables, the model produces the same predictions as quantum mechanics. In the model considered here, the dynamics depends only on the settings of the measurement device at the detection time, not how those settings were chosen. As a consequence, the model is locally causal but violates statistical independence. We show that it is neither fine-tuned nor allows for superluminal signalling.