Some slides explaining covectors* from my youtube series on relativity. (1/5)
*also called "1-forms", "linear forms", "linear functionals" because one name would be too easy.
Been a while since I've uploaded, but I made a video on the Klein-Gordon equation for scalar fields in field theory. Will be working up to the Dirac equation eventually. https://t.co/urYj8vWUzE
I tried asking ChatGPT this same question about spinors, 2 years later. The original response in the quoted tweet is word salad, but this latest response is basically exactly right (as far as I can see).
@Daviddelacarcel@patobarcenas Hi. I never got around to learning Killing vectors properly. I know Alex Flournoy has a video lecture on YouTube for them. And Sean Carroll's free online notes cover them. Maybe that will be enough? You can feel free to me ask a question but I don't know if I can answer it well.
Latest spinor video is out. I try to de-mystify the gamma matrices and the chiral components of the dirac equation in just under an hour: https://t.co/LtZPH9WtVl
@bruguier I don't have a specific source for tensor calculus. For GR, I have a video titled "eigenchris's Math/Physics YouTube Channel Recommendations" where I mention a few (you can also check the description for links).
Some slides explaining covectors* from my youtube series on relativity. (1/5)
*also called "1-forms", "linear forms", "linear functionals" because one name would be too easy.
I was sad to learn today that professor Alex Flournoy passed away in late 2023. He was a great professor with a lot of charisma. He has hundreds of physics lectures on his youtube channel. I'll link a few videos in the replies. https://t.co/qU2FjTRvUo
"In almost everything that we do, there's more than one way to do it. And just because we have figured out a way to do it, that by no means means it is the only way to do it. And sometimes it's not the best way to do it."
https://t.co/kGiXlE3oGC
@H2Colby Thanks. I hadn't seen much content available online for curved paths in special relativity, so I figured they would be useful. Making those videos really helped me bridge the gap between Special Relativity and General Relativity.
My latest video is on the spin-1/2 representations of SU(2) (rotations in space) and SL(2,C) (Lorentz transformations in spacetime): https://t.co/XRaUKAw9ck