aapAnother attempt at #spinor visualization: here you can play with quaternionic #triality and Spin(4) interactively :) Just press play.
Maybe a #spinor- rather than vector-based approach to interpreting clifford algebra could be called gyrometric algebra rather than geometric algebra 🤔
EDIT: or chirometric!
union whore
YurasDo you remember that crazy thing from #math, called #spinor? Yes, the "square root of vectors" one. Yeah, right, one that picks up a minus sign when you rotate it 360 degrees around, whatever it means. And it's somehow related to quantum #physics.
I think I finally got the idea behind it :) Well, at least the "picks up minus sign" part. Well, at least I *think* I got it. Took me few years.
I think I finally got the idea behind it :) Well, at least the "picks up minus sign" part. Well, at least I *think* I got it. Took me few years.
Refurio AnachroThat extra turn is just what we need for our pair of spheres. The small ball will, as you may have guessed, unwind itself three times onto the large one, while turning four times around itself!
Well okay, we only have a projective sphere, whqich can only accomodate half a revolution, yielding two turns of the little ball. We need two because the little ball is 'spinorial'.
https://en.wikipedia.org/wiki/Spinor
Supersymmetry and Superspace
A very fun 3 part lecture series on the basics of supersymmetry, recounted in a nice and tidy way. Jon Bagger is an emphatic and pleasant speaker, and he takes great care to unfold this great collusion of ideas from the heart of physics.
I like it when he says_ "...because that's what it means!"
https://www.youtube.com/watch?v=y-6qIChRtOY
#maths #lecture // #supersymmetry #algebra // #relativistic, #qft, #spinor