The Inexplicable will exist as long as there are things about physics that we do not understand. This is a condition that I'd almost go out on the limb and say will exist until the end of time-at least for each of us. The more we know the more we realize that there is further more to know. What is inexplicable today may be tomorrow's breakthrough science.
And if that were not enough there are some who take advantage of what is known and render it inexplicable-we often call these people magicians. Sometimes they are just con artists.
I like the Schrodinger example; because I think that's where a lot of the inexplicable belongs. There is a lot to be said for how much the observer influences the outcome of something; and when observing that which we cannot explain it seems there would be the triggering of several different influences that might cloud the ability to get to the heart of things.
We see that in recent research involving exceeding the speed of light and what was once called spook action at a distance that seem plagued with being tainted by the observer and sometimes by the limitations of the equipment used to measure the phenomenon. Instrument limitations often are closely tied with our limited knowledge of physics; which makes for baby steps as we learn more we can build more to help objectify or observations. These steps oddly create a pattern that screams out intelligent design which means that for answers to a few other questions brought up here we might require more time to understand the physics of the universe.
Well said.