Yes, that's physics. We abstract things down to their constituent parts, to figure out what they are made up of, and how they work. Human brains aren't straightforward computers, so they must rely on statistics if there is nothing non-physical (a "soul" or something).

I agree experience is incalculable but not because it is some special immaterial substance but because experience just is objective reality from a particular context frame. I can do all the calculations I want on a piece of paper describing the properties of fire, but the paper it's written on won't suddenly burst into flames. A description of an object will never converge into a real object, and by no means will descriptions of reality ever become reality itself. The notion that experience is incalculable is just uninteresting. Of course, we can say the same about the wave function. We use it as a tool to predict where we will see real particles. You also cannot compute the real particles from the wave function either because it's not a real entity but a description of relationships between observations (i.e. experiences) of real things.