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The Proper Separation of the Clocks Doesn't Change!

Two perpetually inertial observers (IO1 and IO2), perpetually mutually stationary with one another, are initially co-located with two separated observers (AO1 and AO2), with separation "L". AO1 and AO2 are about to begin a constant [proper] acceleration "A"... IO1 and IO2 will conclude that AO1 and AO2 maintain the separation "L" during the accelerations.

And AO1 and AO2 will agree with that: AO1 and AO2 conclude that their separation remains constant at "L" during the acceleration.

The distance "D" each rocket moves, according to AO1 and AO2

The distance "D" each rocket moves during the acceleration is EXACTLY the same

so the separation "L" between AO1 and AO2, according to THEM, can't change during the acceleration.

But two inertial observers (IO3 and IO4) who are momentarily co-located with AO1 and AO2 at some later instant in the trip will conclude that the separation between AO1 and AO2 is LARGER than it was when the acceleration started. And that larger separation continues to increase as the trip progresses, according to the INERTIAL observers momentarily co-located with AO1 and AO2 later in the trip.

But it's normal in special relativity for an accelerating observer to agree with the inertial observer who is momentarily co-located with him at at some instant ... that's what the CMIF simultaneity method IS.

How do the people producing the scenario with all the inertial observers achieve the acceleration "A"?

Mike, I'm going to continue to rip on your posts as long as the frame references are absent.