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?
dTau is a mathematical concept used in physics to measure time on a worldline, which is the path an object takes through spacetime.
dTau is calculated by taking the derivative of the proper time, which is the time measured by an observer moving along a worldline, with respect to the coordinate time, which is the time measured by an observer at rest in a specific reference frame.
dTau is used to calculate the rate of change of time for an object moving along a worldline. This is important in understanding the effects of time dilation and how time is experienced by observers in different reference frames.
dTau is a crucial concept in special relativity, as it allows for the calculation of time dilation and the effects of relative motion on time. It is also used in the Lorentz transformation equations, which describe how measurements of time and space differ between reference frames.
While dTau is a concept used in advanced physics and is not directly applicable to everyday life, the principles of time dilation and the effects of relative motion on time have been observed in experiments and are important to our understanding of the universe.