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## Main Question or Discussion Point

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

My confusion is the term "

thanks,

Aaron

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