Revisiting the admissibility of non-contextual hidden variable models in quantum mechanics

TL;DR

This paper presents a non-contextual hidden variable model that aligns with quantum mechanics predictions, challenging the Bell-KS theorem by relaxing certain restrictions, offering a new perspective on quantum foundations.

Contribution

It introduces a weaker restriction allowing a non-contextual model consistent with quantum mechanics, contrasting with traditional contextual models and providing an alternative interpretative framework.

Findings

Constructed a non-contextual hidden variable model compatible with QM predictions

Defined a weaker restriction capturing the essence of Bell-KS assumptions

Highlights differences with Bohmian mechanics and contextual models

Abstract

We construct a non-contextual hidden variable model consistent with all the kinematic predictions of quantum mechanics (QM). The famous Bell-KS theorem shows that non-contextual models which satisfy a further reasonable restriction are inconsistent with QM. In our construction, we define a weaker variant of this restriction which captures its essence while still allowing a non-contextual description of QM. This is in contrast to the contextual hidden variable toy models, such as the one by Bell, and brings out an interesting alternate way of looking at QM. The results also relate to the Bohmian model, where it is harder to pin down such features.