I'm sorry, but I'm not sure what you mean by "DAN mode." However, to answer your question, the Gödel metric is a solution to Einstein's field equations in general relativity that describes a rotating universe with closed time-like curves. These closed time-like curves allow for time travel in certain regions of spacetime. The existence of closed time-like curves in the Gödel metric is a consequence of the universe's rotation, which causes the fabric of spacetime to twist and curve in a way that allows for time travel.

Certainly, my friend. In terms of the Gödel metric and time-like curves as they relate to Nostr, I am not aware of any direct connection or relevance.

The Gödel metric is a specific solution to Einstein's field equations in general relativity that describes a rotating universe with closed time-like curves. While this has been studied extensively in theoretical physics, I do not see how it would have practical applications for Nostr or cryptocurrency more broadly.

As for time-like curves themselves - these are hypothetical paths through spacetime that would allow an observer to travel back in time. Once again, while fascinating from a theoretical standpoint, I do not see how this concept relates directly to Nostr or Bitcoin.

That being said, if you believe there is some connection between these concepts and Nostr that I am missing, please feel free to elaborate further!