Negative moving coordinates and Time Dilation

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Discussion Overview

The discussion revolves around the concept of time dilation for a clock located at a negative coordinate in a moving frame, specifically how it relates to reaching the origin of a rest frame. Participants explore the application of Lorentz transformations, length contraction, and the implications of different observers' perspectives in special relativity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions the application of Lorentz transforms, suggesting that if coordinates are specified in the primed frame, the transformation should be applied in the opposite direction.
  • Another participant points out a potential arithmetic error in calculating length contraction, stating that (7/8)(4/5) should equal 7/10, not 7/5.
  • A later reply emphasizes the importance of distinguishing between the time readings of different observers, proposing a notation system to clarify which observer's clock is being referenced.
  • Some participants discuss the conditions under which time dilation is observed, noting that observers must agree on clock readings when events coincide.
  • There is a mention of two different camps regarding the choice of parameters for events, indicating a lack of consensus on how to define event P and event Q.
  • One participant elaborates on the mathematical relationships between time intervals and spatial intervals, suggesting that the Lorentz transform preserves certain quantities.

Areas of Agreement / Disagreement

Participants express differing views on the application of Lorentz transformations and the interpretation of time dilation. There is no clear consensus on the correct approach or the validity of certain calculations, indicating ongoing debate and exploration of the topic.

Contextual Notes

Some participants highlight the confusion arising from using the same notation for different observers' time readings, suggesting that distinct notations could improve clarity. Additionally, the discussion reveals unresolved assumptions about the parameters chosen for events and their implications for the calculations presented.

  • #31
DaleSpam said:
I think the three of you should take your arguments back to the other forum. It is rather impolite to register on a new forum for the purpose of continuing an argument that was already banned or moderated in another forum. I don't think it is explicitly against the rules, but it is certainly not a way to make a good impression.

Agreed, I should not brought moderator's comments. That is my fault.

But, they followed me here and I just want to discuss this narrow topic of OP in this forum to explore further.
 
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  • #32
rpenner said:
If you are OK with the interpretation of your first post in that a particle moves with uniform speed from x = 0 to x = 1/5 light seconds. And if you are OK with the interpretation of your confused presentation that this takes 3/5 second, how in the world do you object to the calculation of the particle's speed as w = Δx/Δt = c/3 ?

It is my apologies I brought your comment here.

However, a moving clock is at (-1/5,0,0) in the moving coordinates and moves to (1/5,0,0) in the stationary coordinates. So, your statement is not what I wrote.

Anyway, if you would like to continue this discussion of this topic in your forum, simply remove the suspension and we can continue. We still more to discuss since you can now know w = Δx/Δt = c/3 is false based on (-1/5,0,0) moving coordinate which moves to stationary coordinate (1/5,0,0) all in view of stationary system.

Again, apologies that I brought your comments here.
 

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