Do Complex Numbers Exist?

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Do complex number exist or are they just a convenient, mathematical tool that we use in science? With the exception of quantum mechanics, it is easy to get rid of complex numbers. But can you do quantum mechanics without complex numbers? A recent paper says no, you can't.

The paper is here: https://arxiv.org/abs/2101.10873

Scott's blogpost is here: https://www.scottaaronson.com/blog/?p=5270

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#science #physics #mathematics

0:00 Intro
01:15 The Math of Complex Numbers
03:44 The Physics of Complex Numbers
05:45 Complex Numbers in Quantum Mechanics
06:58 The New Paper
09:28 Why is it controversial?
10:26 Sponsor Message

Видео Do Complex Numbers Exist? канала Sabine Hossenfelder