Sorry AnonyMint, but I think you either don't know what you are talking about or bring confusion on purpose. "preimage the entropy"? "can't be a preimage because every peer is racing to compute it"? What is that supposed to mean?
"I can choose a seed a priori"? I've just proven that this is impossible.
I don't think this will be a productive discussion until you educate yourself enough to understand the arguments. Visit the "preimage attack" wikipedia page that I've linked, play the little md5 seed game. It will help.
Are you an idiot? (don't tell me to educate myself, when you can't seem to grasp a very simple concept)
What is so difficult for you to understand that if I pick a seed, and run the random generator on that seed, I get a result that is reproducible every time I feed that same seed to that same random generator. I can
precompute this.
So now, I can target my tx deposits to the results of the random generator seed that I want to target.
Then later when my SH is last, I can structure the TB so that the randomization function uses the seed I have targeted.
This is a preimage attack idiot. I have preimaged the chosen SH IDs to a seed I will generate in the future. In other words, the entropy of the system is preimageable.
What can't you understand that Bitcoin's Proof-of-Work can't be preimaged, because there is no one that can compute the result of the next hash faster than the system is. In other words, the entropy of the system is not preimageable.