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

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Discussion Overview

The discussion centers around the concept of dTau and its role in measuring time along a worldline in the context of spacetime. Participants explore the implications of marking time on a worldline and how proper time is experienced by different observers.

Discussion Character

  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants propose that dTau measures time for an observer traveling along a worldline, suggesting that intervals marked every minute would be spaced evenly.
  • Others argue that while the marks can represent events occurring every minute, the actual distance between these marks in spacetime is not uniform due to the nature of worldlines.
  • A later reply emphasizes that the proper time experienced by an observer is dependent on their specific worldline, noting that different observers may experience different amounts of time even if they start at the same point.
  • One participant highlights that the distance along a worldline is influenced by the path taken through spacetime, referencing the effects of relative motion.

Areas of Agreement / Disagreement

Participants express differing views on the nature of marking time on a worldline and the implications of proper time, indicating that multiple competing perspectives remain without consensus.

Contextual Notes

Limitations include the dependence on definitions of worldlines and proper time, as well as the unresolved implications of relative motion on time measurement.

sqljunkey
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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?
 
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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.
 
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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.
 
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