# Is there a preferred reference frame?

At any point in space there is only one truly inertial frame (the one that is in free-fall under local gravity conditions), does this form a preferred frame of reference?

Special relativity tells us that all inertial frames are equally valid. And when it comes to acceleration the acceleration is measured with respect to any inertial frame.

Or, put is in more concrete terms. Drop an $x-y-z$ frame out of a spaceship above the Earth: at the same time throw another one out to the side of the spaceship. They are both freefalling inertial frames, and, as long as they are near enough to one another that tidal terms in Earth's gravity are small over the space between them, a Lorentz boost defines the transformation between them, defined by their relative initial velocity.