Dear Bradford,
you are touching a Universe that is described by mystical traditions throughout the history of mankind again and again. You mentioned David Bohm as a modern thinker who has tried to explore those larger but still inaccessible essence of reality that pervades all existence by means of scientific reasoning.
I agree with you that this deeper part of reality cannot directly be detected. I took just this inaccessibility as a starting point, asking me: How must the observable universe look like if its underlying foundation shall be ultimately inaccessible?
I found that transcendence is actually a higly restrictive condition with respect to the observable Universe. It requires a sort of radical non-dual conception (as it is described by the Doctrine of Advaita in more general terms) in order to secure the inaccessibility (i.e. invisibility) of the ONE or MIND.
Surprisingly our Universe does possess such a radical non-dual conception. There are empirical data that point to this specific order. In the FQXI_Contest 2009 I have sketched this idea.
Look at the essay: TAMING of the ONE.
May be this essay is of interest for you.
Good Luck for your paper and for your Work.
Kind Regards
Helmut