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Forums
Physics
Special and General Relativity
Time Dilation & Differential Aging: Defined
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[QUOTE="Nugatory, post: 5494357, member: 382138"] "Differential aging": the elapsed time along different paths in spacetime between the same two events will, in general, be different because the "lengths" of the paths will, in general, be different. The twin paradox is the classic example: the traveling twin takes a shorter path through spacetime between the event "twins separate" and the event "twins reunite" so less time passes for him and he ages less. "Time dilation" (not to be confused with "gravitational time dilation"): a clock that is not in rest in a given frame will run slow compared with a clock that is at rest in that frame. Because the two clocks are moving relative to one another, we're always working with at least three events: "both clocks are in the same place and both read midnight"; "clock A is somewhere and reads 1:00 AM"; "clock B is somewhere else and reads 1:00 AM". Because the two clocks are not collocated when either reads 1:00 AM we have to consider relativity of simultaneity. The "A reads 1:00 AM" event happens before the "B reads 1:00 AM" event (B's clock is slow) using the the frame in which A is at rest; but it is the other way around and A's clock is the slow one using the frame in which B is at rest. You'll find a bunch more discussion in the "Similar Discussions" at the bottom of the page. [/QUOTE]
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Physics
Special and General Relativity
Time Dilation & Differential Aging: Defined
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