Does decentralized consensus really need a chain? What happens if emergence replaces history?

I think that in parallel networks, such conflicts cannot be resolved and should not be. If it is to be resolved, additional global arbitration must be introduced

If we enforce single-threading, that is, each block must import the previous block, then this problem can be easily solved. It is only necessary to ensure that a single block is legally valid internally and historically

Regarding this issue, you can refer to this PoC: TrustMesh: Consensus as Emergence, Security from Behavior - Meta-innovation - Ethereum Research, which reveals that such a structure is entirely possible. Perhaps we can ensure that each block does not need to reference other blocks, making each block self-evidencing.