I can accept the possibility that there are aspects of the physical world that are yet unknown, but I challenge you to propose a theory of how non-physical interacts with physical.
Aside from the non-pysical creator, our thoughts, feelings, and desires are what animate and motivate our physical selves to do the things we do — the good and the bad. Emotions result in physical actions. Is time physical? Matter, energy, space, etc didn't just appear magically. They came from somewhere. Can you think of anything physical that doesn't have a non-physical component?