Mate, not only is every single one of those concepts a mathematical one, the explanations it gives are misleading or incorrect! E.g. the typical pop-sci misleading lines of "it's a wave and a particle at the same time" (it isn't both, it's neither) or "it's in two states at the same time, like a coin which is heads and tails" (no it's not, the point is precisely that it doesn't behave according to classical probabilities).

Claiming these concepts are not mathalematical is like saying addition is not mathematics because you can explain it with words or diagrams to a child!