Would there be any practical benefit to a future technology able to define the second to even greater than 16-18 digits? It seems like atomic fountains have pretty muched reaches the limit of practical effects - but then again I never cesse to be surprised by the usefulness of extreme accuracy
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GPS? They are already synchronised on atomic fountains. On the other hand, this is very useful to test general relativity at its most fundamental level, but this is far from being practical of course.