Identify a post-Relativistic space-time structure compatible with quantum nonlocality
Determine a concrete space-time structure and accompanying notion of causal dynamics that can replace the space-times of Special Relativity and General Relativity while remaining empirically adequate and accommodating the experimentally verified nonlocal correlations predicted by quantum theory (e.g., Bell-inequality and GHZ violations), thereby enabling a coherent unification that abandons Relativistic locality yet preserves observed relativistic phenomenology where appropriate.
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What sort of space-time structure should be used in place of the space-time of Special Relativity or the space-times of General Relativity is not at all clear, and should be a question given the highest level of attention by anyone seeking to "reconcile" quantum theory with Relativity.
The question whether relativity imposes principled, nontrivial constraints on nonlocal explanations of Bell correlations remains largely open.
Similarly, relativistic Bohmian models help us clarify what criteria make a theory genuinely relativistic and what difficulties PWT encounters, for the question of how to combine quantum nonlocality with relativity is one of the central open challenges that any quantum interpretation (including the standard account) faces.