Every LLM you've used runs on physics governed by divergence and curl. Maxwell's equations — the complete theory of light, electricity, and magnetism — are just four statements written in this language. One of them says the divergence of the magnetic field is zero everywhere, which is the exact mathematical reason magnetic monopoles can't exist. Divergence measures how much a vector field acts as a source or sink at a point; curl measures how much it rotates. That's it. But those two tools describe predator-prey population dynamics, the phase spaces of any differential equation, and the loss landscapes your GPU navigates during backpropagation — any system where a vector tells you which direction things want to move. 13 minutes. Bookmark & watch today.