Do Complex Numbers Exist?

I highly recommend video by Sabine Hossenfelder [1] on this topic. She's explaining the topic in layman terms, starting from what does it mean to exist (or be real) in physical sense. Complex numbers, as useful as they are, just an abstraction, a tool which can be replaced with different forms of calculations. That makes the question of "reality" rather complex (pardon the pun). [1] ▶ this video

in “How the modern world arose from imaginary numbers” · View on HN

This video by Sabine Hossenfelder is probably more informative on this topic: ▶ this video (it discusses this paper).

in “Quantum Physics Falls Apart Without Imaginary Numbers” · View on HN

There is a nice 10 minute discussion about this paper by physicist Sabine Hossenfelder on her "Science without the gobbelydgook" youtube series (which I recommend). She considers the existential questions regarding necessity of complex numbers a "super-niche nerd fight". You can find the video here ▶ this video .

in “Quantum theory based on real numbers can be experimentally falsified” · View on HN