This looks like it holds amazing promise!

But how do you achieve fully decentralized group chat while at the same time knowing the ordering of the messages?

As far as I know, CRDTs and other techniques are not resilient in yhe face of byzantine failures. For one writer and many readers we have scuttlebutt type solutions. For many writers we have blockchains as the state of the art. How does this protocol solve the problem?

Let's say in a multiplayer game I claim that I made a move before I saw the game state change. Or I made 1000 moves. How do you prevent this?