Even assuming that the average person can decide in two seconds...
Omega can’t predict the stroke on the two-second timeframe; it’s too busy finishing the simulation of the player’s brain that started four seconds ago to notice that he’s going to throw a clot as soon as he stands up. (Because Omega has to perform a limited simulation of the universe in order to complete the simulation before the universe does; in the extreme case, I allow a gamma or some other particle to interact with a sodium ion and trigger a neuron that makes the prediction wrong. Omega can’t predict that without directly breaking physics as we know it.
What, and Omega can’t figure out how the stroke will affect their cognition on a two second timeframe?
Even assuming that the average person can decide in two seconds...
Omega can’t predict the stroke on the two-second timeframe; it’s too busy finishing the simulation of the player’s brain that started four seconds ago to notice that he’s going to throw a clot as soon as he stands up. (Because Omega has to perform a limited simulation of the universe in order to complete the simulation before the universe does; in the extreme case, I allow a gamma or some other particle to interact with a sodium ion and trigger a neuron that makes the prediction wrong. Omega can’t predict that without directly breaking physics as we know it.
You think you know a great deal more about Omega than the hypothetical allows you to deduce.
The gamma rays will produce a very very small error rate.
The hypothetical only allows for zero error; if Omega knows everything that I will encounter, Omega has superluminal information. QED.