Again, you are speaking in terms that make it difficult to extract your meaning, so correct me if I have failed to understand what you are trying to say.

In particular I would be interested to hear what some of these phenomena are. See, the lack of a "concrete explanation" isn't really a useful thing to say about something. We don't yet have anything that could be called a "concrete explanation" of even things like gravity. What we do have are theories that allow us to make useful predictions about how gravity will effect things. Imperfect as those, like all, theories are, we've still put stuff on other planets with them.

There certainly are many "open problems" in science, but to my knowledge we have yet to ever encounter anything that is fundamentally beyond the grasp of the physical sciences. Take for example the Coronal Heating Problem: On the surface it seems to violate the 2nd law of thermodynamics (which is some rather heavy shit...) but even in extreme cases like that science solders on. There are numerous hypothesis that have been proposed to explain it, and over time our understanding of it will only become more robust.

Anyway: To address this particular concern I'd like to say that until we have any strong evidence to suggest that humans possess a more powerful model of computation than we already regularly reason about, we have to assume that they do not.