Let ships B and C be
identical, and have identical acceleration programmes. Then (as reckoned by an observer in A)
they will have at every moment the same velocity, and so remain displaced one from the other
by a fixed distance. Suppose that a fragile thread is tied initially between projections from
B and C (Fig. 3). If it is just long enough to span the required distance initially, then as
the rockets speed up, it will become too short, because of its need to Fitzgerald contract,
and must finally break. It must break when, at a sufficiently high velocity, the artificial
prevention of the natural contraction imposes intolerable stress.
Is it really so? This old problem came up for discussion once
in the CERN canteen. A distinguished experimental physicist refused to accept that the thread
would break, and regarded my assertion, that indeed it would, as a personal misinterpretation
of special relativity. We decided to appeal to the CERN Theory Division for arbitration, and
made a (not very systematic) canvas of opinion in it. There emerged a clear consensus that the
thread would not break!
Of course many people who give this wrong answer at first get
the right answer on further reflection.
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