Lucien Hardy gave an argument against local hidden-variable theories using logical exclusions among two-particle measurement outcomes, rather than a statistical Bell inequality. The structure combines outcomes forbidden by quantum mechanics with another outcome that remains possible: assigning all the relevant local results in advance cannot satisfy these requirements together. His 1992 paper also examined an additional assumption about Lorentz-invariant elements of reality, keeping the role of that assumption explicit in its comparison with quantum mechanics.[ref]
Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories by Lucien Hardy. Abstract, two-particle inequality-free argument and Lorentz-invariant reality assumption
Lucien Hardy; portrait hosted by Perimeter Institute
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