 A view that takes a wave function as a field on a high-dimensional space must be distinguished from a view that takes it to be what Belot (2012) has called a multi-field, which assigns properties to \(n\)-tuples of points of ordinary three-dimensional space. These are distinct views; proponents of the \(3n\)-dimensional conception make much of the fact that it restores Separability: on this view, a complete specification of the way the world is, at some time, is given by specification of local states of affairs at each address in the fundamental (\(3n\)-dimensional) space. Taking a wave function to be a multi-field, on the other hand, involves accepting nonseparability. Another difference between taking wave-functions as multi-fields on ordinary space and taking them to be fields on a high-dimensional space is that, on the multi-field view, there is no question about the relation of ordinary three-dimensional space to some more fundamental space.­ Hubert and Romano (2018) argue that wave-functions are naturally and straightforwardly construed as multi-fields.