Upvoted, but the Boltzmann problem is that it casually looks like the vast majority of subpatterns that match a given description ARE Boltzmann Brains. After all, maxentropy is forever.
But so is eternal inflation, so we are comparing infinities of the same cardinality. The solution seems to be that the Kolmogorov complexity of a typical Boltzmann brain is high, because its space-time coordinates have a length in bits exceeding the length of the description of the brain itself; by Solomonoff induction, we can therefore assign them a very low measure, even in total.
Upvoted, but the Boltzmann problem is that it casually looks like the vast majority of subpatterns that match a given description ARE Boltzmann Brains. After all, maxentropy is forever.
But so is eternal inflation, so we are comparing infinities of the same cardinality. The solution seems to be that the Kolmogorov complexity of a typical Boltzmann brain is high, because its space-time coordinates have a length in bits exceeding the length of the description of the brain itself; by Solomonoff induction, we can therefore assign them a very low measure, even in total.