![]() $$ \mathbf$ is (please correct me if I'm mistaken) in the space (inertial) reference frame, but expressed in the coordinate system fixed with the rotating body (because the other terms in the equation are expressed in this coordinate system-the inertia tensor is diagonal with respect to this coordinate system). In Euler's equations of rotating bodies for example, we have: I'm having a hard time getting the difference between the two. The essential difference between these two views is that for the first one we are saying that when clocks aren't in motion the the numbers they show are always equal at each instant, whereas in second one we are defining what the differences between these numbers mean.įrom above para it seems as if the first procedure is more general than the second one since it doesnt explicitly mentions the way by which we are measuring time but since we use the word "intsant" to explain it, it looses its generality.ĭarkenin Asks: Different coordinate system as opposed to different reference frame ![]() Thus the other option is to say that time does slow down in a moving frame and all the physical process too.įrom another point of view we can define a time interval as the duration between two ticks, then it becomes clear that time must slow down in moving frame, and since this a physical process all other physical process must slow down as well. ![]() Now when we see that the moving clock shows 1 second what do we infer from this observation? Do we say that the mechanism of clock is somehow affected by motion and thus its showing 1 second when in reality 2 seconds have passed, that is all physical processes happen at same rate in both frames? But since the ticking of clock itself is a physical process this contradicts our claim. The moving clock will measure the time differently than ours, let's say for every 2 seconds that we measure only 1 second is gone in moving clock. ![]() GedankenExperimentalist Asks: Interpreting the observations from a moving clock in special relativityĬonsider a clock in motion and another at rest with respect to us, both frames are inertial.
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