>>11099694>the mapping z -> z^n is just not injective, but we understand perfectly in what way it fails to be so: each non-zero value has a discrete set of preimages ... none of them is distinguished in any way,That sounds a lot like multiplying things by zero desu. Like yeah, we all understand exactly what's being lost there, and we can stroke our beards all we want - but you cannot expect to perform reversible computations like that.
>none of them is distinguished in any way>what else do you want?Well, you/someone claimed earlier that phasors weren't necessary. However, if you take the 4th-root of 1 in phasors, you can easily distinguish the roots.
>>>>And in reverse, you'll always know that:
>>And the modulus of 1 or 3 would give insight into how, say, capacitors (-i) and inductors (+i) work on a dimensional level. I forget the term for it, a double sphere? triple sphere? a three-loop? Basically, what
>>11099719 posted: It would imply that capacitors work like a three-loop at the top, and that inductors work like a 1-loop on the bottom. Along those lines.
How are you supposed to reverse engineer reality when your calculations only work one way?
