B What is dTau? The Role of dTau in Measuring Time on a Worldline

  • B
  • Thread starter Thread starter sqljunkey
  • Start date Start date
  • Tags Tags
    Measure
sqljunkey
Messages
181
Reaction score
8
I heard dTau measures time for the person traveling on a worldline. 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?
 
Physics news on Phys.org
Yes, they would each be 1 light-minute apart.
 
sqljunkey said:
If the person traveling on that world line chalked marks on the world line every 1 minute
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.
 
  • Like
Likes FactChecker, cianfa72 and vanhees71
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?
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.

Note that this is the distance along your worldline. Your twin racing up and down the room at some fraction of ##c## has a different worldline and will experience less than a minute. This is the Minkowski spacetime equivalent of the mundane fact that the distance between two points depends on the route taken.
 
  • Like
Likes cianfa72 and vanhees71
OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...
In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...
ASSUMPTIONS 1. Two identical clocks A and B in the same inertial frame are stationary relative to each other a fixed distance L apart. Time passes at the same rate for both. 2. Both clocks are able to send/receive light signals and to write/read the send/receive times into signals. 3. The speed of light is anisotropic. METHOD 1. At time t[A1] and time t[B1], clock A sends a light signal to clock B. The clock B time is unknown to A. 2. Clock B receives the signal from A at time t[B2] and...
Back
Top