Well, that’s a bit of a problem, because the definition you provided was “metaphysics,” which you had defined as “areas not investigable by science.” I have already explained that this definition is too broad as there are plenty of areas of metaphysics that do not invoke the supernatural. Unless you’re saying there’s a supernatural solution to every question of metaphysics, I don’t think your definition is coherent.
Further, if the supernatural or spiritual are not scientifically observable, you cannot tie them in with the quantum realm, which is empirically observable. True, quantum particles do quirky things when observed, but things like the LHC and the double slit experiment are ways we do observe them. So how could you tie that in with the spiritual or supernatural, which aren’t observed?
Lastly, I will tell you why I’ve pushed you so hard to give a solid definition of the supernatural. It’s because I don’t believe it’s a coherent concept. If the supernatural exists and has an effect on this world, that effect should be measurable, and if its effect is measurable, it’s identical to the natural.