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Things could occur in exactly the same way by a random process.
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Okay, let's look at it this way. Let's say a typical atom faces 100,000 orbital shifts a second with a 50/50 chance probability. What is .5^100,000? I fucking small number. That's one second, and there is something like 10^35 atoms on the earth. What do you think the odds are that everything will churn out the same way twice?
So, no, your idea is so stupid it hurts. Fortunately, I'm a determinist.