Hacker News Reader

I wonder if this could be reversed to give an intuitive “proof” of the divergence theorem.

The divergence theorem can be intuitively summarized in one sentence: "what comes out is whatever went in, plus whatever was produced inside"

Minus whatever went away inside, unless you're implicitly allowing negative production.

Yes, both "production" and "comes out" are signed quantities.

A very intuitive presentation of the divergence theorem is here https://youtu.be/TORt20_HjMY?is=uoJ8-2ToCSwW9rVF