The number one problem from my point of view is that my only frame of reference is our, today's understanding of the physics of the material universe. I cannot for the sake of credibility go beyond those boundaries.
However there is the possibility that the physically unknown or little known duality that you speak of may manifest itself, or maybe it would be more appropriate to say, leave a trace or be reflected, even partially in our current understanding of these matters.
What I refer to as "inexplicable Engineering". Engineered structures that make perfect sense in terms of a "symbiotic" relationship, which are also at least partially understandable from the application of known scientific principles.
The notion that the ancients even thought in this way, "four perspectives" is fascinating.