Energy as a measure for the elapse of time
Clocks in different heights or with different velocities run with different speeds. For global positioning systems these effects are much too large to be ignored. Nevertheless, in classical and quantum mechanics we get high accuracy using a "universal" time scale, not depending on altitudes and velocities. One may ask how this is possible. The answer to this question we may get from the observation that in classical and quantum mechanics time and energy are canonically conjugate variables. We argue that the mentioned modifications of the time scale by relativistic effects are taken into account in the notion of energy. On the basis of the experimental results and the laws of special relativity we argue that we should consider energy as measure for the elapse of time.
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