Our anti-de Sitter club is small at the moment, but I’ve started corresponding with the conformal field theory people.
I love reading about physics things that I just can’t conceptualize. Spaces with more or fewer than 360 degrees of rotation? Cool, I absolutely can’t imagine it
Try drawing a triangle on a globe and measure the angles, it will be more than 180 degrees. That’s probably the simplest visualisation possible.
Spheres are examples of surfaces with positive curvature. Negative curvature (where the angles of a triangle add up to less than 180 degrees) is represented by this saddle shape:
You made an enemy out of a sitter today. You’ve turned Willem de Sitter into Willem Dafoe.
There really is an xkcd for everything.