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10,000 years is a long time, far longer than any government will exist to perpetuate a nuclear security regimen, so just consider the waste as cubic yards of toxic waste... and for every toxic yard, there is a probability that it will break containment, and every single toxic yard must be secured 10,000 years given human error.... its simply a probability function the proliferation of the toxic waste. In worst cases of political breakdown, entire nuclear plants will be left to become dangerous 10000 year no-go hot zones.
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