The Non-Signalling theorem in generalizations of Bell’s theorem

Does “epistemic non-signalling” ensure the peaceful coexistence of special relativity and quantum nonlocality? The possibility of an affirmative answer is of great importance to deterministic approaches to quantum mechanics given recent developments towards generalizations of Bell’s theorem. By generalizations of Bell’s theorem we here mean efforts that seek to demonstrate the impossibility of any deterministic theories to obey the predictions of Bell’s theorem, including not only local hidden-variables theories (LHVTs) but, critically, of nonlocal hidden-variables theories (NHVTs) also, such as de Broglie-Bohm theory.

Naturally, in light of the well-established experimental findings from quantum physics, whether or not a deterministic approach to quantum mechanics, including an emergent quantum mechanics, is logically possible, depends on compatibility with the predictions of Bell’s theorem.