esbo Posted June 13, 2013 Posted June 13, 2013 OK this is question I don't seem to be able to get and answer to. 1. Initially all triplets (A B and C all 5 year olds) are at rest on earth. 2. Triplet C accelerates off to 99% the speed of light and remains at that speed for 50 years (as measured by Triplet A who remain on earth) before returning to earth. 3 Triplet B also accelerates off to the 99% the speed of light but only remains at that speed for 10 seconds (as measured by twin A who remain on earth) before returning to earth. 4. Triplet A remains on earth. Now can we have the ages of the triplets, you can give numerical ages if you like. Best of luck!!! First correct answer wins a Nocigar prize for physics!! Hopefully I have phrased the question to exclude "cop-out" answers which fail to answer the question but I am aware there are plenty of "cop-out" answer specialists in relativity!! I woudl say triplet A is almost certainly 55, twin B must be nearly 55 (within a day) and twin C is still close to age 5 (less than 7 years old). Just improve the question assume that triplet B and C set off together but that triplet B decides such high speeds are too dangerous and returns to earth after travelling with C for just 10 seconds (as measured by A). Actually after I posted I google the triplets paradox and found this http://squishtheory.wordpress.com/about/ Not sure it it is relevant as I have not read it ll yet!! I expect it is similar in the answers it seeks. 1
swansont Posted June 13, 2013 Posted June 13, 2013 What's the paradox? We already know from the twins' case that there is no paradox. Anyway, you are wrong about twin C. 0.99c is a gamma of 7, so twin C will age a little over 7 years and be a little older than 12 upon returning. You should also be able to conclude that twin B is within 10 seconds of the age of twin A just by inspection.
esbo Posted June 13, 2013 Author Posted June 13, 2013 What's the paradox? We already know from the twins' case that there is no paradox. Anyway, you are wrong about twin C. 0.99c is a gamma of 7, so twin C will age a little over 7 years and be a little older than 12 upon returning. You should also be able to conclude that twin B is within 10 seconds of the age of twin A just by inspection. Now supposing twin C synchronises his clock with B before he returns to earth and just before the 50 years is up he takes off again to tell B it is now time to come back to earth and they both come back together. Surely C has aged more slowly that B over this period? I mean is that not like the original twin paradox experiment but it is C who seems to remain stationary whilst B disappears off at high speed, thus ageing more slowly? 1
Delta1212 Posted June 13, 2013 Posted June 13, 2013 Are you asking whether, if two twins leave Earth together, one turns around and goes back, then turns back around, catches up to the other and they bo return together, the twin who first turned back will have aged more slowly? If so, then yes.
swansont Posted June 13, 2013 Posted June 13, 2013 Adding complexity to the problem will not show any contradictions. At the bottom of it all is some fairly simple math that is internally consistent.
esbo Posted June 13, 2013 Author Posted June 13, 2013 (edited) Are you asking whether, if two twins leave Earth together, one turns around and goes back, then turns back around, catches up to the other and they bo return together, the twin who first turned back will have aged more slowly? If so, then yes. But surely that contradicts swansont's post? Adding complexity to the problem will not show any contradictions. At the bottom of it all is some fairly simple math that is internally consistent. Then you must disagree with delta1212? Yes or no? Perhaps you could also have a go at the muon problem where the twins see difference number of muons? Edited June 13, 2013 by esbo 1
swansont Posted June 13, 2013 Posted June 13, 2013 Then you must disagree with delta1212? Yes or no? I'm saying it's not worth any effort to analyze the details. It won't show that relativity is wrong.
Delta1212 Posted June 13, 2013 Posted June 13, 2013 But surely that contradicts swansont's post? Then you must disagree with delta1212? Yes or no? Perhaps you could also have a go at the muon problem where the twins see difference number of muons? I don't see where anything I said contradicts swansont.
esbo Posted June 13, 2013 Author Posted June 13, 2013 I'm saying it's not worth any effort to analyze the details. It won't show that relativity is wrong. That sounds disconcerting close to "Sorry I don not understand it well enough to provide a coherent answer"? It that a fair synopsis? Either way it's not an answer to the question so not really helpful in answering it.
ACG52 Posted June 13, 2013 Posted June 13, 2013 If you get an answer to the triplets question, what next, ask about quadruplets?
esbo Posted June 13, 2013 Author Posted June 13, 2013 I don't see where anything I said contradicts swansont. Swanout is saying C is 12ish yet you are saying B, who spent most of time on earth is younger than him. If you get an answer to the triplets question, what next, ask about quadruplets? We will cross that bridge when we get to it, this needs answering first. We have contradictory answers to this one to clear up. 1
Delta1212 Posted June 14, 2013 Posted June 14, 2013 B will be younger than C if B leaves with C, returns to Earth, again leaves Earth, catches up with C and then returns with him. This wasn't the scenario swansont was responding to.
hypervalent_iodine Posted June 14, 2013 Posted June 14, 2013 That sounds disconcerting close to "Sorry I don not understand it well enough to provide a coherent answer"? It that a fair synopsis? Either way it's not an answer to the question so not really helpful in answering it. ! Moderator Note We've been over these sorts of posts before, esbo. They are not acceptable. I also question whether you made this thread with the intention of actually learning something. Regardless, since we have so many active threads on the twins paradox and this thread is really covering nothing new, I am closing it and asking you to redirect your questions to one of the other threads.
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