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
All math is only as good as the assumptions it starts with. So, it’s not enough to just do math, you also have to pick a good place (a good set of assumptions) to start doing the math. Einstein picked a great starting place (at large distances / masses / energies, at least), so his results are very good (for large distances / masses / energies).
Fwiw, his assumptions turn out to be very poor for very small distances / masses / energies, so his results are not at all accurate at these scales.
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