Since the first pass, and after you mentioned the possibility of an extra time dimension --- I've read many articles by Vafa and others which may suggest extra dimensionality as an alternative to, or alternative "location" for, such a field. This is going to be fun - we live in very interesting times, betty boop!
That is for sure, A-G!!! And we are so privileged to be living in this time! With every fiber of my being I suspect that truly momentous things are afoot in this world: The human future is wide open! But we must be careful, for the way widening before us is strewn with perilous opportunities....
I imagine that the demand being placed on us is not just that we be intelligent, rational; but that we also be wise. "We" being all of us -- that is, the human species.
May God bless us, each and every one. And may He ever continue to look kindly on the human race in general....