My point was MUCH more powerful than that.
It broke the back of your question. How can I identify a mathematics as being about anything more than what I am familiar with? Yes?
If I remember my history right, QM (just as an example) first began as a solution to the ultraviolet catastrophe. And yet, you probably have
no experience whatsoever with the ultraviolet catastrophe. It's not explaining anything you are familiar with, but if you could understand the mathematics you could identify it's meaning.
One of the major difference between Newtonian gravity and older ideas of why things fall (see, for instance, Aristotle), is that under Newton
everything attracts everything else. This is an important distinction even if we leave out "the heavens". So, ignore the fact that Newton explains the tides and the motion of the moon in orbit around the earth, the planets about the sun. Let's just look at the earth. Older viewpoints were that things had a tendancy to move toward the center of the earth. We can sum that up if we like (simply to create a paralel with Newton) that things are attracted to the earth. But
completely lacking was the conception that
the earth is attracted to those objects.
This is also completely lacking in any intuitive sense of gravity. We don't have a feeling that the earth moves toward a falling stone, but it does.
Now, if you don't disagree with any of that and are simply saying that we have to be able to identify a stone in order to say "a stone falls", that's obvious and not particularly enlightening. You seem, though, to be saying that we have to know what "falls" means
before we can have a mathematical framework that includes it, but I disagree: we only need to know what
motion is. Once you know that, you can create a mathematical framework that includes certain types of motion and what they look like can be deduced from the mathematics: in this way our mathematics can even include concepts that don't have real world examples. If that is possible then it's clearly not the case that we need to have an experience of a thing for the mathematics to mean something.