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I'm having trouble getting an intuitive understanding for the following situation. Let frame A and frame B be moving with relative velocity v.

It's true that a clock in frame A will be time dilated with respect to a clock in frame B, but also that a clock in frame B will be time dilated with respect to a clock in frame A.

i.e. any time between two events measured in frame A must be multiplied by gamma to get the corresponding time measured between those two events in frame B, and correspondingly, that time as measured in frame B must be multiplied by gamma to get the corresponding time as measured in frame A. Obviously this would mean that

[tex]t_a = \gamma^2{t_a}[/tex]

Can anyone explain thisapparentcontradiction?

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# Time dilation and self-consistency

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