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"

*It is easy to show using standard theory that if a system starts in an eigenstate of some observable, and measurements are made of that observable N times a second, then, even if the state is not a stationary one, the probability that the system will be in the same state after, say, 1 second, tends to one as N tends to infinity; i.e. that continual observation will prevent motion.*"

But is he actually right about every single possible case?

E.g. what if one continuously measures the position of a particle, can it move?