dTau is a measure of proper time experienced by an observer traveling along a worldline in spacetime. Each minute marked by the observer corresponds to a distance of 1 light-minute along the worldline. However, due to relativistic effects, different observers may experience different intervals of time, as demonstrated by the twin paradox, where a twin moving at a fraction of the speed of light experiences less time than a stationary observer. The concept emphasizes that the distance between events in spacetime is dependent on the specific worldline taken.
PREREQUISITESStudents and professionals in physics, particularly those studying relativity, spacetime, and time measurement in high-speed contexts.
The worldline is not a path through space; it's a path through spacetime. The person traveling on it already "chalks a mark" on the worldline every minute--all he has to do is watch the minute hand on his clock change. Each change of the minute hand is an event on the worldline--a "mark"--and these events are 1 minute apart.sqljunkey said:If the person traveling on that world line chalked marks on the world line every 1 minute
As Peter says,you can't really do this because you can't "chalk a mark" on spacetime. But the proper time along your worldline while you wait for the second hand of your watch sweep out one minute is one minute, yes.sqljunkey said:If the person traveling on that world line chalked marks on the world line every 1 minute, would those intervals be the same distance from each other?