@JL « il n’y a pas symétrie entre les situations des deux jumeaux : il n’y en a qu’un seul qui a subi une accélération suivie d’une décélération (soit deux accélérations en valeur absolue) : cette accélération aura ralenti ses processus vitaux. »
C’est trop stupide. L’accélération n’a aucune importance :
http://sciencechatforum.com/viewtopic.php?f=84&t=26847 Don Lincoln : « A common explanation of this paradox is that the travelling twin experienced acceleration to slow down and reverse velocity. While it is clearly true that a single person must experience this acceleration, you can show that the acceleration is not crucial. What is crucial is that the travelling twin experienced time in two reference frames, while the homebody experienced time in one. We can demonstrate this by a modification of the problem. In the modification, there is still a homebody and a person travelling to a distant star. The modification is that there is a third person even farther away than the distant star. This person travels at the same speed as the original traveler, but in the opposite direction. The third person’s trajectory is timed so that both of them pass the distant star at the same time. As the two travelers pass, the Earthbound person reads the clock of the outbound traveler. He then adds the time he experiences travelling from the distant star to Earth to the duration experienced by the outbound person. The sum of these times is the transit time. Note that no acceleration occurs in this problem...just three people experiencing relative inertial motion. » http://www.fnal.gov/pub/today/archive/archive_2014/today14-05-02_NutshellReadMore.html Don Lincoln : « Some readers, probably including some of my doctoral-holding colleagues at Fermilab, will claim that the difference between the two twins is that one of the two has experienced an acceleration. (After all, that’s how he slowed down and reversed direction.) However, the relativistic equations don’t include that acceleration phase ; they include just the coasting time at high velocity. »http://www.damtp.cam.ac.uk/research/gr/members/gibbons/gwgPartI_SpecialRela tivity2010.pdf Gary W. Gibbons FRS : « In other words, by simply staying at home Jack has aged relative to Jill. There is no paradox because the lives of the twins are not strictly symmetrical. This might lead one to suspect that the accelerations suffered by Jill might be responsible for the effect. However this is simply not plausible because using identical accelerating phases of her trip, she could have travelled twice as far. This would give twice the amount of time gained. »
Pentcho Valev