I'll try and make a stand, even though I'll admit I'm doing it tentatively, I'll say "Gravitational time dilation is associated with length contraction only in the direction of the apparent equivalent acceleration". There is no change to the width of the rocket or the lift (or whatever describes your non-inertial frame). The distance that the light beam has to go across the frame does not change but there is a change in the length along the axis describing the gravitational acceleration.In a situation where you could be getting length contraction without motion, it teases your understanding.

I was worried that I haven't made myself clear but "I propose that the difference in distances is amount of length contraction in a region of GTD" explains it quite well. Light has to travel a longer distance to go across the lift. To account for that longer time over a distance it is explained as length contraction and time dilation. I must admit I'm struggling to see what would make the lift get narrower.

Now how could we prove that?

The other thing that has me baffled is that if Gravity is equivalent to upward acceleration (take the Earth ) 1 g.

Now in space if something had acceleration equivalent to 1* g, it would get up to near light speed after a while, but the person on the Earth in the same equivalent acceleration is still locked on to the Earth, and hasn't moved an inch.

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