ua nt - p h / 99 06 03 0 v 1 9 J un 1 99 9 “ Weighing ” a Closed System and the Time - energy Uncertainty Principle
نویسندگان
چکیده
A gedanken-experiment is proposed for 'weighing " the total mass of a closed system from within the system. We prove that for an internal observer the time τ , required to measure the total energy with accuracy ∆E, is bounded according to τ ∆E > ¯ h. This time-energy uncertainty principle for a closed system follows from the measurement back-reaction on the system. We generally examine what other conserved observables are in principle measurable within a closed system and what are the corresponding uncertainty relations.
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