I think you’re looking for the irreducible representations of ˜Iso(n,1) (edit: for 1D, ˜Iso(1,1)). I’ll come back and explain this later, but it’s going to take awhile to write up.
I’ve never been familiar enough with group-theory stuff to memorize the names (which, warning, also might mean that it will take you a lot of time to write a sufficiently-dumbed-down version), but the internet suggests ~Iso(n,1) is related to… the Minkowski metric? I would be flabbergasted to learn that something so specific-to-our-universe was relevant to this toy mathematical contraption.
I thank you for your effort! I am currently missing a lot of the mathematical background necessary to make that post make sense, but I will revisit it if I find myself with the motivation to learn!
I think you’re looking for the irreducible representations of ˜Iso(n,1) (edit: for 1D, ˜Iso(1,1)). I’ll come back and explain this later, but it’s going to take awhile to write up.
I’ve never been familiar enough with group-theory stuff to memorize the names (which, warning, also might mean that it will take you a lot of time to write a sufficiently-dumbed-down version), but the internet suggests ~Iso(n,1) is related to… the Minkowski metric? I would be flabbergasted to learn that something so specific-to-our-universe was relevant to this toy mathematical contraption.
I wrote up my explanation as its own post here: https://www.lesswrong.com/posts/LpcEstrPpPkygzkqd/fractals-to-quasiparticles
I thank you for your effort! I am currently missing a lot of the mathematical background necessary to make that post make sense, but I will revisit it if I find myself with the motivation to learn!