- #1

Kashmir

- 468

- 74

"Given this differential expression for ##\tau##, the proper time interval is defined as

##

\Delta \tau=\int_P d \tau=\int \frac{d s}{c} .

##

Here ##P## is the worldline from some initial event to some final event with the ordering of the events fixed by the requirement that the final event occurs later according to the clock than the initial event."

In the integral

##

\Delta \tau=\int_P d \tau=\int \frac{d s}{c} ## , is the worldline a line on the time axis of the frame in which the clock is at rest? Also I can calculate the integral in another frame in which the clock is moving, however the world line will have spacetime coordinates different than the rest frame ,however due to invariance of ##ds## we get the same value of proper time as we have in the rest frame. Am I correct?