# SR: Time Dilation

1. Jul 21, 2004

### Moose352

Someone told me that the normal time dilation formula $$\Delta t = \gamma t_{0}$$ is not correct and that the time dilation also depends on the distance (I'm not entirely sure of what). Is this true?

2. Jul 21, 2004

### DW

He was probably referring to an accelerated frame observer. It is correct for calculating the time dilation of something with respect to an inertial frame.

3. Jul 21, 2004

### Tom Mattson

Staff Emeritus
Your friend could also have been referring to the Lorentz transformed time interval in a frame S' for which two events in S do not occur at the same location. In that case:

Δt'=γ(Δt-vΔx/c2)

In that case, the time interval in S' depends on the spatial interval between the events in S. Of course, it would be a misnomer to call that "time dilation".

However, in an inertial frame, for which &Delta;x=0, the formula you state is correct.