Quantum mechanics theory may work without imaginary numbers, analysis suggests

I would like to point out that the Cartesian (x,y,z) account of “three dimensions” is imaginary and does not exist in reality. Only on paper does this make any sense.

In reality coordinates are polar relations among bodies (usually in reference to the largest body in common.)

Any system that relies upon imaginary coordinates to refute imaginary numbers is suspicious. And what is this <star> operator business anyhow (Unicode did not interpolate)?

all of its imaginary