Bell-type games on deformable manifolds

We study bipartite correlations in Bell-type games. We show that in a setup where the information carriers are allowed to locally deform the manifold on which the game is played, stronger correlations may be obtained than those maximally attainable otherwise. We discuss the implications of our results in the context of Bell's theorem and the Einstein-Podolsky-Rosen paradox.
Comment: We withdraw this submission since a few components of the analysis presented in this paper were found to be faulty, while not affecting the overall results. A rigorous derivation of the latter is provided in a subsequent publication: "Accounting for gauge symmetries in CHSH experiments."