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Did... I read this correctly? One thousandth of a second...?

Wow.

This means the processing of the transaction on a node could happen quickly, but we're still bound by network lag time to transmit this data to other nodes, correct?

Oh wait. This means the state change can happen in 1 ms. The only lag would be the time it would take to send / receive communication through the internet to obtain the current state?

Ahh, we need more info. :)