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Proper time is the pseudo-Riemannian arc length of world lines in four-dimensional spacetime. From the mathematical point of view, coordinate time is assumed to be predefined and an expression for proper time as a function of coordinate time is required.
proper time. Quick Reference. The time as measured by any observer from a clock at their location that is stationary with respect to them. In the theory of relativity, time is said to be proper to each observer.
If you’ve had special relativity, you recognize this as the square of the proper time difference Δτ between the two spacetime events. (The proper time — often called wristwatch time in EBH — is the physical time in an inertial reference frame in which both events are simultaneous.)
Definition: Proper Time. The proper time is an invariant quantity that can be determined from the spacetime interval. Another name I like to use for proper time is wristwatch time*, because it is the time interval measured by an inertial observer who is present at both events.
Feb 11, 2016 · The proper time noted by convetion τ (tau) is by definition the time measured by an observer in their own rest frame, i.e the time between two events as measured in a frame where the events stay in the same position.
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The time of the moving clock is correct as far as an observer moving in the same frame of reference as the clock and is called the ‘proper time’. However the time recorded by a stationary...