A stationary observer in frame \(S^\prime\) measures the time difference between two points to be \(\Delta t^\prime\) on his/her own clock, while an observer in \(S\) will measure the time difference ...A stationary observer in frame \(S^\prime\) measures the time difference between two points to be \(\Delta t^\prime\) on his/her own clock, while an observer in \(S\) will measure the time difference on that (moving) clock to be \(\Delta t = \gamma (u)\Delta t^\prime\), exactly the time dilation result we found in equation (10.2.1).
