- #1

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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*/

*c*

^{2})

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