So if the new post is broadcast out to several witnesses, why is it that only one of them catches it and posts it to the blockchain? Isn't it more blockchainy for several of them to do so and then build consensus on which version of the post is correct, or am I just completely misunderstanding blockchain tech here?
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Nope, you got it right, but the way witnesses rotate is a completely different thing.
The top 19 witnesses are rotating faster than the rest, they get scheduled (pretty much) every minute, then the runner up witnesses get scheduled in a decreasing algorithm. A witness in the 50 position signs about 20 blocks / day. This is all written in the blockchain logic It makes things way faster.