This is succinct and quite eye-opening for me. Would you be willing to elaborate in any direction you please?
Just applied linear algebra (or so claimed my professor of linear algebra...)
[1]: me: a complete layperson.
But then again, philosophy is also a domain of human inquiry. The world is just whatever it is, however we think it best to describe. Problem is that our different domains of descriptions and questions don't always fit easily with one another. So to say it's all just the domain of physics is to mistake one map for the territory.