Demystifying Quantum Spin: Part1 - Pauli Matrices are Quaternions in Disguise

In this video, I show how Pauli Matrices (used extensively in Quantum Mechanics) are actually Quaternions in disguise. Studying the 4x4 matrix version of quaternions has led to many insights, in including the ones presented in this video. Now I can do everything that quantum mechanics does, only I get to do it my way... using my terminology...AND...I "grok" it. FractalWoman
Here is a link to Chantal Roth's website and simulations
elastic-univer...
JavaScript implementation of the Spin 1/2 simulation: jsfiddle.net/C...
Here is Chantal Roth's KZbin Channel:
Here is the link to my KZbin channel (which also has the links):
/ @redpill6313

[@EliasVanLorien]

Thank you very much for your content and a great thank you in advance for providing this code. I really appreciate it 🙏

[@JBroadway]

I'm really happy I discovered your channel. You have a gift for teaching and am very grateful you took time to share your knowledge. Please don't stop making videos!

[@billschwandt1]

You are making me love math.

[@mainbka]

I am confused. I thought that doubling of angles happens not in physical space but in "square root of probability" space.

[@NicholsonNeisler-fz3gi]

You saved the cool animation till the end!

[@pauzol]

goated

[@Achrononmaster]

@18:00 yes, but the _false_ idea "spin is discrete" came from Stern-Gerlach. In Dirac theory spin is just an eigenvalue of σ_3 (so outcome of a measurement detecting the circulating part of the Dirac current). The reason the electrons or silver atoms come out of a Stern-Gerlach filter in only two beams is because the device is a filter, as so will be any measurement of spin. This is clear if you numerically solve the Dirac equation and follow streamlines. As the electrons pass through the region of inhomogeneous B-field the Dirac current orientation rotates _smoothly_ and ends up aligned either 'up' or 'down' relative to the magnet orientation, as well as deflected accordingly. The magnet is imposing the beam splitting. If the magnet was rapidly rotating then the S-G beam would not split, it'd spread out in a cone or something.

[@FractalWoman]

Yes, I agree that the magnet imposes the split and it is NOT a function of the electron in the silver atom at all. But my reasoning is a little different than yours. In my reasoning, Yes, the large magnet causes the dipole moment of the small "magnet" to align with the large magnet. If the silver atom is just a little bit above the central plane of the magnet, it will go up and if the atom is just a little big below the central plane, it will go down. In my way of thinking, there are not TWO orientations of the magnetic moment, but ONE. The S-pole of the dipole points towards the N-pole of the big magnet and the S-pole of the dipole points toward the S-pole of the big magnet analogously to how a small magnet would behave if place between the N and S poles of the big magnet in the Stern-Gerlach experiment.

[@actualBIAS]

please don't delete this. I'm almost there to understand what you're talking about, i need a month or two more XD Thanks for the work anyway

[@FractalWoman]

No problem. Will not delete this. Hopefully, I will be adding more that will help you more.

[@Ottmar555]

Hi. Is there a way in which I could contact you? I'd like to share some insights into what you say, as I was very surprised about how close our understanding of the ether is. I think I could provide additional context to help you in your project.

[@FractalWoman]

This is the best way to contact me. If you have something to say that is insightful, then I would like the rest of my team (my subscribers) to be able to see it too. You could maybe write something up, then put a link to it here. If I like what I see, then maybe we could collaborate more directly. For now, I am trying to limit my collaborations a very small group of people. Too many cooks sometimes spoils the meal, if you know what I mean.

[@Ottmar555]

@@FractalWoman Fair enough. Would it be ok if I uploaded a vid to my channel and shared it in the comments of a recent video, or would you prefer a written format?