Awhile ago, I tried to teach you that there was a completely different scenario than Bell's in which the separation distance remains constant according to the people on the trailing rocket (so the string does not break). That scenario requires the rockets to get closer together in the initial inertial frame. But I don't see anything like that in your paper. As far as I can tell, your paper is claiming the string does not break in a scenario in which the rockets remain a constant distance apart in the initial inertial frame. But today you have been saying that as long as that is the case, then the separation distance must increase according to the people on the trailing rocket, as per the LCE. That seems to contradict the claim in the paper.