Even if a civilization decided to simulate humans on a massive scale, the probability of getting someone identical to you through a NON RANDOM process… Is nihil
You need to consider partially random/partially non-random processes. Imagine an alien civilization that decided what other race to simulate/what history to simulate based on flipping a series of quantum coins. The overall amplitude for that process picking you out will be very low, but still higher than the Boltzmann brain scenario. Why? Because the aliens will intentionally simulate the structured, deterministic parts of your life history and so will need less “random coincidences” to pick you out when compared to pure quantum fluctuations. This is even more so the case if we imagine future AIs simulating us, or humans in an alternate quantum branch who want to simulate alternative histories and decide on the exact person/civilization to simulate by flipping quantum coins. Yes the amplitude for this occurring will be very small, but still exponentially higher than the Boltzmann brain scenario.
Drake equation[...]can conclude that the rarity of conscious life is extremely high. We can even infer that it is likely we are the only conscious beings in the entire observable universe
Have you seen Robin Hanson’s Grabby Aliens argument? Basically, he argues that there are likely other aliens civilizations out there(in the observable universe) based on how early we are in the universe’s history. But even if we are the only life in the observable universe, it’s once again all about the relative likelihood. Life was at any rate likely enough for us to exist, that’s enough to see that it has far more relative likelihood compared to purely random fluctuations.
Not really though. Your brain has ~10^15 synapses. It literally doesn’t have enough space to store records of its entire past light cone. So there is actually some equivalence class of possible past histories which could produce an identical brain state to the one you have now.
They definitely could, by just randomly sampling human brains they would have some low probability of picking out yours or mine in particular. With a randomized simulation they could pick us out with much higher probability.
Yeah but the point is, for however many unlikely coincidences/”coin flips” the aliens would need to get right, the Boltzmann fluctuations would have to get at least that many coin flips right, plus more because they aren’t modeling any deterministic parts of the process.