Negative moving coordinates and Time Dilation

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SUMMARY

The discussion centers on the application of Lorentz transformations to analyze time dilation for a clock at a negative coordinate in a moving frame. The participants utilize the coordinates P' = (-7/8 ls, 0, 0) and a velocity of v = 3/5c, leading to a Lorentz factor γ = 5/4. The calculations reveal that the moving clock appears to beat faster, with the derived time dilation formula being t' = (35/24 sec) / (5/4) = 7/6 sec. The conversation emphasizes the importance of correctly applying Lorentz transformations and understanding the distinction between different observers' perspectives in relativity.

PREREQUISITES
  • Understanding of Lorentz transformations in special relativity
  • Familiarity with time dilation and length contraction concepts
  • Knowledge of the speed of light (c) and its significance in relativistic equations
  • Ability to perform calculations involving light seconds (ls) and relativistic factors (γ)
NEXT STEPS
  • Study the derivation and application of Lorentz transformations in different frames of reference
  • Explore advanced concepts in special relativity, such as simultaneity and the relativity of simultaneity
  • Learn about the implications of time dilation in practical scenarios, such as GPS technology
  • Investigate the mathematical foundations of relativistic physics, focusing on tensor calculus
USEFUL FOR

Physicists, students of relativity, and anyone interested in understanding the implications of time dilation and Lorentz transformations in special relativity.

  • #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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