In higher dimensions our common thoughts are aggregated into massive socially-shared hyperbrains, each of which is segregated from the other based on both cultural and genetic similarity between specimens (mostly of the same species). Hyperbrains form a trie predicated on the commonality of our toughts and the closer you move to its roots, the closer you get to our biological origins, until eventually all species merge at the root.
Our individual biological brains then acts only as secondary devices similar to how L1/2/3 CPU cache is to the main memory of a computer. We use our brains to think only when the communication bridge is unstable, or when our experiences cannot be matched into compatibly vibrating wavelets in the hyperbrain. Our brains are also an anchoring devices of the self. While the hyperbrain encodes the shared memories and experiences of entire groups of specimens, our brain is a "diff" between the personal and the communal.
OK, anyway, I had fun making some stuff up, it's not like I understand anything this article says.