To comment something then, the symmetric group (bijections) is generated by permutations of two elements, in the braid group you can braid the left whisker on top of the right one, or below. If you permute twice, you do nothing, but you can twist hair one, two, three, ... any times. that is the contrast in the generators and relations of both groups. If you go to the wiki page of topological quantum computer, the photo expresses a unitary representation of a braid group element. Schrödinger evolution in discrete time is given by unitary matrices (one of the Stone theorems). Now look at the pic, and imagine threads from input 1 to output 1, input 2 to output 2, etc, in adition to the colored threads of the pic. With the extra threads as gluing spec (topological identification) you get a single colorful closed curve (or several ones). The chapter is going to talk about how this is a link/knot. So you get an algebraic understanding from a structural object as the symmetric group is, opening what these closed curves are. People in loop quantum gravity could have had their fingers on that kind of page. There is an accesible description of the Jones polynomial. If you bookmark this, next time the pros juggle the name before you you have a place to go to avoid showing "that face".

I am more optimistic, good blogs will continue being there, and crap ones are no new invention or menace, be it LLM slop or Markov chain SEO babble content of 10 years ago.

There is an economy here that the effort investment is paid with a reward of quality. Many teens feel the discomfort of being locked into platform attention farms and are stoic about it. They deserve the opportunity of being told other options exist.

I closed public access due to lack of interest