Assume Lorentz Aether Theory (supposedly equivalent mathematically to special relativity.) Lorentz considered there to exist an aether, with some stationary reference frame (though he considered it to be undiscoverable). Assume that the frame of reference in which the Cosmic Microwave Background Radiation is uniform is the stationary aether reference frame. Now a thought experiment (and - QUESTION #1 - I'd like to know if anything comparable to it has already been conducted). Let's consider ourselves to exist on a planet moving at constant velocity with respect to the aether. (The earth may be a reasonable facsimile.) We launch two identical rocketships, one going directly upstream against the aether, and the other in the opposite, downstream direction, such that the latter is now stationary in the aether frame. QUESTION #2: Do clocks on the former rocketship move more slowly, and those on the latter speed up? I strongly suspect the answer to this last question (#2) must be "no" (else an absolute reference frame *would* be discoverable), but I'd like to know the answer to #1 as well.