Quantum Locality, Rings a Bell?: Bell's inequality meets local reality and true determinism

TL;DR

This paper constructs a deterministic, local hidden variable model for quantum mechanics based on ontological states, demonstrating that Bell's inequality does not apply and that quantum phenomena can be interpreted locally consistent with relativity.

Contribution

It introduces a new local hidden variable model based on ontological states, challenging the usual non-local interpretation of quantum mechanics.

Findings

Bell-like inequality always satisfied by quantum mechanics

Quantum mechanics can have a local interpretation

The usual Bell inequality does not apply to the proposed model

Abstract

By assuming a deterministic evolution of quantum systems and taking realism into account, we carefully build a hidden variable theory for Quantum Mechanics based on the notion of ontological states proposed by 't Hooft. We view these ontological states as the ones embedded with realism and compare them to the (usual) quantum states that represent superpositions, viewing the latter as mere information of the system they describe. Such a deterministic model puts forward conditions for the applicability of Bell's inequality: the usual inequality cannot be applied to the usual experiments. We build a Bell-like inequality that can be applied to the EPR scenario and show that this inequality is always satisfied by Quantum Mechanics. In this way we show that Quantum Mechanics can indeed have a local interpretation, and thus meet with the causal structure imposed by the Theory of Special Relativity in a satisfying way.