Can Length Contraction Tear You Apart?

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This video is about Bell's Spaceship Paradox of Special Relativity, wherein a pair of rockets (or spacecraft) connected by a weak thread accelerate with uniform acceleration, maintaining the same separation, and the question is: does the thread break? And if so, why?

REFERENCES
Read an overview on Wikipedia:
https://en.wikipedia.org/wiki/Bell%27s_spaceship_paradox

John Baez on Bell's Spaceship Paradox, Rindler Acceleration, etc
https://math.ucr.edu/home/baez/physics/Relativity/SR/BellSpaceships/spaceship_puzzle.html

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Created by Henry Reich
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https://www.youtube.com/watch?v=kU8TEcie4hY