Bell's spaceship to spaceship thread catastrophe
Bell – 1976 – How to teach special relativity. https://danielhoek.com/wp-content/uploa ... tivity.pdf
Does the thread tween two accelerating Einsteinian spaceships break? Some Einsteinians say yes & some no. There are 5 kinds of YESers.
YES-1 – Contraction of the spaceships. Here the two spaceships contract (according to a stationary observer) & the gap lengthens (ataso).
YES-2 – Contraction of the thread. Here the gap stays the same (ataso) but the thread contracts (ataso).
YES-3 – A combination of YES-1 & 2.
YES-4 – Loss of clock synchrony. Here two spaceships have differing accelerations because the STR requires that their synchronous clocks must lose synchrony (ataso) as their frame gradually changes (even though the two spaceships at all times share the same frame(s)). The trailing spaceship falls further behind (ataso), & the gap widens.
YES-5 –A combination of YES-1 & 2 & 4.
NO-1. I think that there is only one kind of NOer. Einstein said that objects don’t contract, but that spacetime contracts (& with it objects contract)(ataso). This means that Einsteinian contraction cant break the thread, hencely Einstein would disagree with YES-1 & 2 & 3. But what about YES-4. I can tell u that Einstein would disagree with YES-4. Its like this. A loss of synchrony (ataso) would be in accord with STR if the two clocks were continuously kept in synchrony (using Einstein's light signal method) during acceleration. But that aint what happens. The clocks were synchronised whilst at rest – in which case they will remain in synchrony for ever (if no rotation etc).
Anyhow Einsteinians cant agree on their Einsteinian krapp. And if they could agree it would still be krapp. Their Thread Catastrophe is equal to their Twins Catastrophe. A paradox can be eliminated by eliminating ignorance. A catastrophe can be eliminated by changing the theory.