Suppose locality is a relationship, could it be that quantum phenomena are in some sense beyond space-time and are merely projected into space-time by our macroscopic instruments? In other words, could quantum processes be evolving in some more general space, which for convenience we call simply 'pre-space'. This pre-space (Hiley 1991, Hiley and Monk 1993) would then give rise to Wheeler's (1980) pre-geometry. In this view, the space-time of the classical world would be some statistical approximation and not all quantum processes can be projected into this space without producing the familiar paradoxes, including non-separability and non-locality. In classical physics everything is local so that a single space-time can provide a contradiction free description.
If we adopt this radical view, we can see that it is not necessary to insist on the Cartesian division between res extensa and res cogitans. Matter actually has its origins in a deeper structure, a structure where space-time and hence extension is not primary. If such an approach were viable then matter and mind need no longer be separated by space-time constraints as illustrated in the picture below. —B. J. Hiley, Non-commutative Geometry, the Bohm Interpretation and the Mind-Matter Relationship