Portal:Graph, Wall, Tome

The Assignment
There are 3 different pieces of the puzzle that Eric Weinstein pointed to during a call on Discord: graph, wall and tome. Please hold on to this information, that is they’re not public yet, until they come up in a dedicated future episode on The Portal. In the meantime, feel free to try to figure out how they fit together and what you can do with them in order to understand reality. Also, trying to answer the questions at the end helps you get started.

The Graph
The paragraph by Edward Witten as posted by Eric via Twitter.

However, there are 3 flaws with it:


 * In (ii), “vector bundle X” should be changed to principal G-bundle.
 * Also in (ii), “nonabelian gauge group G” should be changed to nonabelian structure group G.
 * In (iii), R and R should be (complex) linear representations of G and so they are not equivalent.