The light clock and time dilation.

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ehj
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How do you argue that the equation for time dilation derived from studying a light clock can be used in general. For instance, how does it tell us that a mechanical clock would also show time dilation?
 
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If it were different, the principle of relativity would be violated - whenever both would not agree, you could tell that you are moving in an absolute sense. This principle is postulated in the development of the theory.
 
light clock and wrist watch

ehj said:
How do you argue that the equation for time dilation derived from studying a light clock can be used in general. For instance, how does it tell us that a mechanical clock would also show time dilation?
I think that the weak point of the light clock consists in the fact that it is not a wrist watch involving two such clocks located at the two mirrors respectively.
 
ehj said:
How do you argue that the equation for time dilation derived from studying a light clock can be used in general. For instance, how does it tell us that a mechanical clock would also show time dilation?

A clock is a device that counts cycles, where a motion repeatedly returns to a starting point in some frame of reference. The light clock is a special case of this. Maybe instead of questioning the generalization of the light clock to all clocks, we should simply be amazed that such a generalization is possible. It tells us something profound about the universality of physical processes.