Confusion in Lorentz Transformation and Relativity

  • #1
doaaron
65
4
Hi all,


I am trying to understand relativity and Lorentz Transformation more clearly but I have some problems. Assume that we have frame F' which is moving at velocity v with respect to F. Now assume we have an object, O, moving at velocity, w, with respect to F. Frame F has its own time, t, and the position of O is x = wt. Now, if I want to find the position of O in frame F', I need to apply the Lorentz Transformation to find x' and t'. The equation for t' is,

t' = γ(t - vx/c2)

My confusion is the term "x" in the above equation. This suggests that time experienced in F' depends on O, since x is the position of O. So if I were to introduce another object, P, moving at a velocity, u ≠ w with respect to F, then t' would be different for O and P. Intuitively, I would think that t' only depends on v. Please let me know where I have made my mistake.


thanks,
Aaron
 

Answers and Replies

  • #2
2,809
604
This suggests that time experienced in F' depends on O, since x is the position of O.
It doesn't depend on O, but on O's position.

Excluding the above sentence, your only mistake is leaning towards your intuition which you acquired by living in a non-relativistic world and studying non-relativistic physics.
 
  • #3
doaaron
65
4
Thanks for the reply. Actually I think I understand my mistake. x', t' simply describes a coordinate in frame F', so it is possible to calculate x', t' for each object, O, P etc.

thanks,
Aaron
 
  • #4
Matterwave
Science Advisor
Gold Member
3,966
327
Thanks for the reply. Actually I think I understand my mistake. x', t' simply describes a coordinate in frame F', so it is possible to calculate x', t' for each object, O, P etc.

thanks,
Aaron

Yes, the t' is the coordinate label for an event O in the primed frame. Or a different event K, it will have a similarly different set of coordinate labels.
 

Suggested for: Confusion in Lorentz Transformation and Relativity

Replies
3
Views
6K
Replies
11
Views
903
Replies
12
Views
442
Replies
1
Views
1K
Replies
10
Views
3K
Replies
26
Views
5K
  • Last Post
3
Replies
84
Views
3K
Replies
3
Views
997
Replies
12
Views
3K
Replies
3
Views
5K
Top