Relational Hidden Variables and Non-Locality

TL;DR

This paper introduces a relational framework for hidden variables and non-locality in quantum mechanics, demonstrating that core results like No-Go theorems remain valid when probabilistic models are replaced with relation-based models.

Contribution

It presents a novel relational approach that preserves the fundamental structure of quantum non-locality and hidden variables theories without relying on probability distributions.

Findings

Major No-Go theorems hold in the relational framework

Relational models replicate key quantum non-locality results

The structure of quantum foundations is robust under relation-based models

Abstract

We use a simple relational framework to develop the key notions and results on hidden variables and non-locality. The extensive literature on these topics in the foundations of quantum mechanics is couched in terms of probabilistic models, and properties such as locality and no-signalling are formulated probabilistically. We show that to a remarkable extent, the main structure of the theory, through the major No-Go theorems and beyond, survives intact under the replacement of probability distributions by mere relations.