I Relativity paradox: rocket landing in a cylinder

[OscarCP]

And you would be wrong. The limiting case of Born rigid acceleration that @PeterDonis describes is an exact solution (although suitable only for a thought experiment because there is no practical way of applying exactly the right amount of force to each part of the rocket).

Quite a few posts back I suggested that you Google for “Born rigid motion”. The concept is essential if you want to understand the relativistic behavior of accelerating bodies at more than a handwaving level.

I wrote that because I thought we were no longer considering physically impossible or practically unrealizable bodies: rigid, Born.