Do Complex Numbers Exist?

Check out the physics courses that I mentioned (many of which are free!) and support this channel by going to https://brilliant.org/Sabine/ where you can create your Brilliant account. The first 200 will get 20% off the annual premium subscription. 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 You can support us on Patreon here: https://www.patreon.com/sabine #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