# Is there a name for the relativistic phenomenon where time is ahead/behind in the direction of travel?

One of the Lorentz equations is $$t ′ = \gamma \left( t − \frac{v x}{c^2} \right)$$

This shows that clocks that are synchronized in the inertial reference frame will be offset in the observer reference frame. Clocks displaced positively in the direction of travel will appear to be running behind and clocks in the other direction will appear to be running ahead.

Other relativistic effects such as time dilation or length contraction have a name that neatly describes them. I'm aware of a number of terms that dance around the concept but don't reference the specific phenomenon of (for lack of a better term) time shift:

• Time Dilation: I believe this refers only to the slowing of time in the inertial frame and not a shift of observed time in the direction of travel.
• Relativity of Simultaneity: This is perhaps the closest term to what I want, but it refers specifically to simultaneous events rather than observed time.
• Local Time: Refers specifically to a time value as viewed from the inertial frame, and not to the greater phenomenon.