Denote by proper time, so that dr denotes the (infinitesimal) proper time interval between two events....

 

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Denote by proper time, so that dr denotes the (infinitesimal) proper time interval between two events. As it turns out, the flat spacetime metric can be written in terms of proper time in the following way, ds = -cdr Use this expression to derive the equation for time dilation. Then use your result to explain why "moving clocks run slow." Denote by proper time, so that dr denotes the (infinitesimal) proper time interval between two events. As it turns out, the flat spacetime metric can be written in terms of proper time in the following way, ds = -cdr Use this expression to derive the equation for time dilation. Then use your result to explain why "moving clocks run slow."