Let's settle this once for all.
Complex numbers don't have a physical interpretation.
Yet they appear in the Schroedinger equation.
QM as a result is fucked up.
How about NOT NAMING them, MAKING WITHOUT THEM and simply using [math]\mathbb{R}^{2}[/math]?
The complex number hoax
It's because of how they describe periodic functions when added to the exponential
R^2 is not a field.
There are many commonly used irrational numbers that can't even be constructed with elementary operations and might as well have no physical meaning either.
it is depending on how you define multiplication, famalan :3
each complex number can be physically interpreted as a rotation and scaling of R^2
en.wikipedia.org
No one considers R^2 a field. My shoe looks to be made of jelly beans if you are stoned enough.
C isn't readily a field either, it's a set which is isomorphic to R^2. So you could just define multiplication in the context of R^2.
Which no one does. R^2 is notation exclusively used for euclidean space.
>There are many commonly used irrational numbers that can't even be constructed with elementary operations and might as well have no physical meaning either.
They can be approximated as a measure of length.
Approximate me the length of i in real life.