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As a consequence of this additional uncertainty, if the quantum demon makes a measurement of a nucleus which forces it to choose one state or the other, he is creating new information.
ECONOMIST: The cost of forgetting
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That is the limit imposed by Heisenberg's famous uncertainty principle (which states that the precision of a time measurement is limited by the precision of a corresponding energy measurement).
ECONOMIST: Small-scale physics
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But this choice is random not because the measurement is shabby but because of the inherent uncertainty in the state of the nucleus.
ECONOMIST: The cost of forgetting