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(Quick aside; it may concern you that a squared quantity can be negative.
Don’t worry about it.) Now, Einstein (having a passing familiarity with physics) knew that momentum () is conserved, and that the magnitude of momentum is conserved by rotation (in other words, the of momentum is conserved (top picture of this post).
There’s an excellent example in this old post about poo.
Here’s the idea; energy is distance times force (E=DF), and force is mass times acceleration (E=DMA), and acceleration is velocity over time, which is the same as distance over time squared (E = DMD/T or something like that, and still have the units correct.
() Some difficulties show up in relativity when you try to talk about velocity.