CrimsonKing: I'm sorry you & your wife have come to this difficult place.

I would have to say that from my perspective if the two of you aren't communicating, & not working on anything, then nothing is being accomplished except the passage of time which may or may not be of any benefit.
It seems to me some couples counseling would be the way to go here.

I presume that's not something that hasn't already occurred to you. I suppose another suggestion might be to try to plan out some regular get-togethers, perhaps on a weekly basis, to do something together the two of you would enjoy... essentially the two of you would be dating again.
Perhaps there are other ways to proceed as well. However it just seems to me that, unless the two of you are interacting in some way or another, there's not much point to being apart except to be apart. And, in that case, it may come to a point where the two of you may simply have to acknowledge that the relationship is irretrievably broken.

I wish you both well...