Meh. Natural sciences and philosophy/methaphisics are quite closer/more intimately linked than you seem to think.
To quote my former physics teacher:
If you remove maths from physics you’re left with philosophy.
I’m not qualified enough to approve or contest this statement, but I know for a /phisicistsfact that there was a time when great mathematicians were also great philosophers and they couldn’t conceive doing one without the other (Leibnitz or Descartes, among many others). Why I changed and exactly how, I don’t know, but I find it interesting.