How math tells us that something exists in outer space ?

Question

I was watching a video about black holes, and when they mentioned that Einstein proved black holes exist with maths, it hit me.
I’ve never asked myself that question, how do numbers tell you that something exist in outer space and what to expect from it? especially things that we never knew they existed in the first place (exp black/white holes) ?

In: 407

Answer 1

math can only prove things about math. for physics math gives you a model or theory, which let’s you make predictions, but you need experimental evidence to actually prove the model fits reality.