This is also why imaginary numbers aren't really imaginary either because real things in the physical world are well-modeled by the operations in the complex pl

This is also why imaginary numbers aren't really imaginary either because real things in the physical world are well-modeled by the operations in the complex plane. When you're in R2 you do some hairy trig or switch to polar cords to express rotations orrrr you switch to the complex plane and multiply by i.