🙋♂️ not sure if I’m knowledgable enough to understand this though, what are the prerequisites?
Discussion
Oh god the way I learn is so scattered I don’t even know. I think I just started peeling the onion on Lie Group, lie algebras, representation theory (woits book is really good). Once you realize that so much of physics is based on irreducible representations of symmetry groups things start getting really interesting. Understanding what SO(2), SU(2), means, how it relates to quantum observables, pauli matrices, etc… so much to explore. Chatgpt helps a lot, it’s an infinitely patient tutor.
This got me hooked https://en.m.wikipedia.org/wiki/Particle_physics_and_representation_theory
Have you looked at the basic math of QM yet? The notation and generalization of vectors and inner products by way of Hilbert space is very nice. There's a good video series here: https://www.youtube.com/@quantumsensechannel/videos
I know about Hilbert space and the general notion in QM, but this was a very nice channel! Glad you introduced it to me, refreshing all topics one by one!
Lol. Years and years ago, I was having drinks with a friend. He said the meaning of life, or explanation of God if you will, was a math equation.
I've never been able to brush off his 2am quip.
I think math... leading to physics and then physics we don't yet understand like quantum theory is the next step closer to understanding.
I watch Interstellar and old star trek episodes once a year just to vibe on it.