There's an associated paper that goes through implementing a petname system in a simple chat application. Petnames compose well with object capability security.
https://files.spritely.institute/papers/implementation-of-pe...
https://files.spritely.institute/papers/implementation-of-pe...
There are ways to (dis)intermediate that trust (like a PKI), but the shape of that PKI or other technique is itself a question of decentralization, security, etc. I think that's a very hard underlying problem that the petname design needs to at least offer some opinions on in order to make claims about security.
That said, edge names are only one way to share contacts. In fact "share contact" on peoples' phones is a great way to have contextual sharing: "Oh, let me introduce you to my friend Dave. Here's Dave's contact info!"
At any rate, petnames aren't a particular technology, they're a design space of "Secure UI/UX". However I do agree more research needs to be done in that space; we've only barely begun to scratch the surface.