Nb. This isn't about Lie theory.

Say what you will about Peter Thiel, he does have a sense of humor.

By analogy with stacks, my intuition is that Spec(N) still has a one-dimensional geometry, but with a (-1)-dimensional tier from quotienting out the prime points by a semiring action.

Yep, you need category theory to express something as trivial as the definition of a monad.

That’s what category theory does well: broad collections of trivialities in a unified definition.

To be fair, if we're living in a simulation, Jesus does feel a bit like a Chekhov's gun.

Imagine chess played on a board with opposite sides identified, like in the video game Asteroids. Does white have a winning strategy?

In the right dynamical framework, I bet I'm a strange autoregressor.

Lieven Le Bruyn is just in the habit of cataloguing how algebraic geometry culture shows up in unexpected places, eg. http://www.neverendingbooks.org/what-about-simone-weil/ . Surprising to see on Hacker News.

FWIW, Achenbrenner discusses some of OpenAI's motivations here:

https://youtu.be/zdbVtZIn9IM?si=F7evv4xfSjsS-Gob