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Butterfly effect. Even Hari Sheldon in the Foundation series couldn't do that.
Psychohistory was designed for large groups. It wasn't designed for single creatures like butterflies
No shade but I could not take the premise of that book seriously. The idea that any complex system could be mapped thousands of years into the future is so incredibly unrealistic to me that I was unable to suspend my disbelief.
I'm a massive Dune fan though so I have no leg to stand on. Hold on a second while I re-calibrate my metabolism and use my genetic heritage to recall events that happened 30000 years ago.
So, what Hari does is basically game theory on a massive scale. The larger the group, the less complexity because you're abstracting the different possible issues individuals would have out of the problem. Instead of making it more complex, it simplifies the whole thing because all the chaotic bits cancel each other out.
And slight spoiler warning for an old story but you find out later that the whole thing isn't just predicted ahead of time and let loose but a group of people follow along in the shadows to keep the plan on track.