Well, yeah. But sqrt of -1 makes zero sense geometry wise. It’s just very useful for shorthanding a lot of waves into cute exponents. But nature don’t give a shit about complex part itself :thonk-cri:
Hah, yeah. I guess the applications of complex numbers is usually using the real and complex as a sort of x and y, literally for rotations in multiple dimensions, or just as amplitude and phase (for electronic signals).
So there's no sweet discoveries in quantum stuff or whatnot that can use complex numbers outside of waves? Surely there's something else.
Sorta? I’m not super experienced there, so cannot say. I think, in the end they come down it’s much easier to work with complex numbers, last step is usually either get abs/re part or im part, cause it’s a phase typically.
Well, yeah. But sqrt of -1 makes zero sense geometry wise. It’s just very useful for shorthanding a lot of waves into cute exponents. But nature don’t give a shit about complex part itself :thonk-cri:
Hah, yeah. I guess the applications of complex numbers is usually using the real and complex as a sort of x and y, literally for rotations in multiple dimensions, or just as amplitude and phase (for electronic signals).
So there's no sweet discoveries in quantum stuff or whatnot that can use complex numbers outside of waves? Surely there's something else.
Sorta? I’m not super experienced there, so cannot say. I think, in the end they come down it’s much easier to work with complex numbers, last step is usually either get abs/re part or im part, cause it’s a phase typically.
why are you so :thonk-cri:
Hmm, dunno, I think it symbolizes frustrated thoughts and funny