Finally got around to implementing a #spinor toy i had always wanted. the geometry was already in place, but i couldn't have done the UI without claude.
What you get is a left and right spinor that you can act on with Lorentz transformations (Spin(1,3)) but also a bunch of other things that just let you have fun with the spinors. i happen to have a touchscreen on my laptop which makes the controls really fun to play with.
Another #spinor toy to give a visual intuition for 2-state quantum systems like an electron or a qubit:
Another 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!
That 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
aap
union whore
Yuras
Refurio Anachro