Spatial locality is the hidden variable in entanglement experiments

摘要

In a recent article in Nature [Hensen et al., Nature 526,682 (2015)], the authors reported that they have accomplished a "loophole-free" test of Bell's theorem. They speculated that further improvements in their experimental design could settle an 80 years debate in favor of quantum theory's stance that entanglement is "action at a distance." We direct attention to a spatial aspect of locality, not considered by Bell's theorem nor by any of its experimental tests. We refer to the possibility that two particles distancing from each other could remain spatially connected, even when they have distanced enough to ensure that information between them was transmitted faster than the velocity of light. We show that any local-deterministic relativity theory which predicts length extension for distancing bodies can maintain spatial locality. We briefly note that the recently proposed information relativity theory satisfies the aforementioned condition, and that it predicts and explains several quantum phenomena, despite being local and deterministic. We conclude by arguing that quantum entanglement is not nonlocal and that the unnoticed spatial dimension of locality is in fact the hidden variable conjectured in the seminal EPR paper.