This is the best explanation of spin in the internet or you get your money back

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Special thanks to my producers:

Manuel Marquez, Carlo Fazioli, Lana Montegazza, OtiumOtiosum, Valerie Hyde, T Highfill, Ryan Roberts, Cookie_T and Azure Azalia

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Credits:

Script, Host, Filming, Directing, Editing, Summoning, Production: Fernando Franco Félix

Animations and graphics: Fernando Franco Félix, Oscar Flores, Chris Diaz and Amit Mourya

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Sources:

All the scientific papers I read to make this video are listed in this article: https://docs.google.com/document/d/1k...

But the most important ones were:

"The electron as a vector wave" by Charles G Darwin

"On the quantum mechanics of magnetic electrons" By Wolfgang Pauli

"The experimental proof of the Directional quantization in the magnetic field" by Stern and Gerlach

"Wrong Theory-Right Experiment: The Significance of the Stern-Gerlach Experiments" by Friedel Weinert

"The Stern-Gerlach Experiment Revisited" by Horst Schmidt-Böcking and others

"Understanding Heisenberg's 'Magical' Paper of July 1925: a New Look at the Calculational Details


A lot of the research for this video also came from:

Mehra, Jagdish, and Helmut Rechenberg. The historical development of quantum theory. Vol. 1, 2 and 3, Springer Science & Business Media, 2000.

I also used Griffith's book as a guide:

Griffiths, David J., and Darrell F. Schroeter. Introduction to quantum mechanics. Cambridge university press, 2018.

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Chapters:

00:00 - Intro and recap
04:25 - Right hand rule
08:14 - Polarization of light
10:51 - Calcite is weird
14:18 - What about second polarizer?
16:19 - Polarization vector
20:51 - Electrons are polarized
23:58 - SG device as a calcite crystal
27:14 - SG device as a polarizer
28:55 - Two SG polarizers
30:46 - Epiphany (probability waves)
33:21 - Probability space
36:48 - Probability waves
38:53 - Smelling Schrödinger's cat
42:48 - Patreon stuff
44:39 - Trying to use probability space
47:13 - Probability space is dead
49:54 - LONG LIVE AMPLITUDE SPACE!
51:46 - The fuck is phase?
54:28 - The SG experiment in a single formula
56:41 - Angles of energy?
58:55 - Dot product
01:01:36 - Measurements as vectors in amplitude space
01:02:32 - Change of base
01:03:35 - Real world example
01:06:38 - Measurements are matrix multiplications
01:08:36 - Matrix multiplications are rotations
01:10:28 - Heisenberg being stupid
01:14:20 - Cancer and radiation

This is where it gets hard

01:16:21 - Spin in 3D
01:17:50 - Spheres have two degrees of freedom
01:19:41 - Inventing a new kind of number
01:24:01 - New numbers mess with amplitude
01:25:28 - New numbers mess with dot products
01:26:45 - Dirac makes the funniest joke of the century
01:27:57 - It came from the fourth dimension
01:29:16 - The return of the phase
01:31:55 - What Darwin actually discovered
01:34:23 - Measurements as rotations in 4 dimensions
01:35:23 - Determinant = 1
01:36:26 - Unitarity
01:39:45 - Group properties
01:43:16 - Information is a physical property
01:45:16 - The properties of information
01:45:16 - Intro to symmetry
01:47:21 - Recap
01:48:42 - End... Wait, Pauli matrices?
01:49:42 - End and thanks