One theory I've heard and which I find interesting is that entanglement between any pair of two-state systems could be explained deterministically by a spacelike connection which can only communicate something relative, like a phase difference, and which is essentially holding the ends instantaneously in step until one end or the other resolves the entangled state, breaking the connection. Of course the time sequence of the resolution at either end can be ambiguous, but the relative state at the point of resolution is unaffected by that. However, it's not clear to me what would be connected to what. In a trivial case of fermion wave functions, the two wave functions could be linked in some way. Photons (as in the Aspect experiments) are not in themselves two-state systems, but it is rather their polarization, but I guess that can be modelled as linked pairs of fermions as well. There are other experiments which involve two states of phases used in interference and so on. Is there known to be some possibility of a consistent model using spacelike connections which could explain entanglement, or is there any known experiment or theory which rules this out?