Going Beyond Bell's Theorem

TL;DR

This paper extends Bell's Theorem to cases where outcomes are predictable with certainty, demonstrating that even then, local deterministic models cannot replicate quantum results, thus challenging classical explanations.

Contribution

It introduces a generalized framework showing that local deterministic models fail even in scenarios with definite predictions, surpassing traditional Bell's Theorem scope.

Findings

Local deterministic models are insufficient even when outcomes are predictable with certainty.

Bell's Theorem does not apply to all cases where outcomes are definite.

Quantum results cannot be explained by classical local models in these extended scenarios.

Abstract

Bell's Theorem proved that one cannot in general reproduce the results of quantum theory with a classical, deterministic local model. However, Einstein originally considered the case where one could define an 'element of reality', namely for the much simpler case where one could predict with certainty a definite outcome for an experiment. For this simple case, Bell's Theorem says nothing. But by using a slightly more complicated model than Bell, one can show that even in this simple case where one can make definite predictions, one still cannot generally introduce deterministic, local models to explain the results.