Yes, I understood that. What I’m saying is that you read w from the existing bitcoin blockchain in this particular example I quoted. I believe the chain used mostly honest timestamps and has not had any correction to w that we see as the total chain work. So you can’t use that particular w for modelling or the boundary equation to say “an attacker with this w can get u blocks in time t” because it’s not the true w that the blockchain had. The attacker should get the same w’ that the honest miners got when we compare them.
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