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Develop a general retrocausal theory consistent with local causality and Bell-inequality violations

Develop a comprehensive retrocausal framework for quantum phenomena that accounts for the observed violations of Bell inequalities while maintaining the local causality principle LOC (probabilities attached to values of local beables in one spacetime region are unaltered by causal changes at spacelike separation given adequate past specification) and preserving unique outcomes for remote experiments. Specify the general mechanisms by which retrocausal influences operate and construct a concrete theory, analogous in scope to Everettian quantum theory, that explains how retrocausation yields Bell-inequality violations under LOC and uniqueness assumptions.

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Background

In Section 6, the paper analyzes logical routes from the experimentally observed violation of Bell inequalities. One route—consistent with the revised local causality principle LOC and rejecting retrocausation—leads to non-unique outcomes, which the author argues is explained by Everettian quantum theory supplemented by the physical probability theory 2-MANY. A proposed alternative route keeps unique outcomes and LOC but infers retrocausation.

The author emphasizes that, unlike the Everettian route, the retrocausal alternative lacks a developed analogue providing an explanation of Bell-inequality violations under LOC and uniqueness. He explicitly notes that the community does not have a general understanding of retrocausation and that current examples are highly stylized, thereby identifying the need for a fully worked-out retrocausal theory.

References

To argue instead: (LOC A UNIQUE A -BELL) -> RET suffers from the difficulty that we lack the analogue of Everettian quantum theory, explaining (13); what is the retrocausal theory, explaining (14)? we do not know what retrocausation involves more generally.

Physical Probability in the Everett Interpretation and Bell Inequalities (2512.00575 - Saunders, 29 Nov 2025) in Section 6