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Do Complex Numbers Exist?

16 videos recommended on HN
YouTube
3 HN users recommended this explainer3 months2021–2023 score 3.5
Years with an HN recommendation, 2007–2026

HN recommends it as a short, accessible layperson explanation of the real-versus-complex quantum theory debate.

Sabine Hossenfelder asks whether complex numbers are just a convenient tool or necessary in physics. She discusses a recent paper arguing that quantum mechanics cannot be done with real numbers alone.

“I highly recommend video by Sabine Hossenfelder [1] on this topic.” (HN, 2022)

1 strong recommendations · 2 recommendations · Explainers · intro

3 Hacker News comments

From the HN archive; up to 20 kept per video, favoring different commenters. Recommendations first.

@viktorcode Feb 2022 Strongly recommends
on HN thread How the modern world arose from imaginary numbers
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]
Layman explanation of whether complex numbers physically exist
@johnp271 Dec 2021 Recommends
on HN thread Quantum theory based on real numbers can be experimentally falsified
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] .
Ten-minute discussion of the real-number quantum theory paper

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