river said: ↑
To your last statement ; density is physical as are constituent parts , physical . Which interact to form patterns . Mathematics can not create a physical object . But is based on the physical .
Yes, I understand what you mean, but ask; what is it that causes the orderly self-organization of similar pattern in similar relational values? What is the ordering agency that creates self-similarity?
To just propose "it is all physical" does not explain the why the regularity if there is no mathematical agency.
The movements by the physical is based on physical properties , by physical objects , ordering themselves . That's The Cause , Of Any Pattern .