The Symmetric Twin Paradox
in [Relativity]
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From: Igor on 16 Jun 2010 14:30 On Jun 16, 2:25 am, colp <c...(a)solder.ath.cx> wrote: > The classic twin paradox is asymmetric in that one twin remains on > Earth while the other leaves (i.e. only one of them accelerates and > deaccelerates). In the symmetric twin paradox both twins leave Earth, > setting out in opposite directions and returning to Earth at the same > time. The conventional explanation for the classic twin paradox is > since only one twin accelerates, the ages of the twins will be > different. In the symmetric case this argument cannot be applied. > > The paradox of the symmetric twins is that according to special > relativity (SR) each twin observes the other twin to age more slowly > both on the outgoing leg > and the return leg, so SR paradoxically predicts that each twin will > be younger than > the other when they return to Earth. > > The symmetric twin paradox is described more fully in the following > paper: > > The Twin Paradox Revisited and Reformulated -- On the Possibility of > Detecting Absolute Motion > Authors: G. G. Nyambuya, M. D. Ngobeni > > http://adsabs.harvard.edu/abs/2008arXiv0804.2008N > > "We introduce a symmetric twin paradox whose solution can not be found > within the currently accepted provinces of the STR if one adopts the > currently accepted philosophy of the STR namely that it is impossible > for an inertial observer to determine their state of motion." There is NO paradox. The length of each twin's path through spacetime is identical and both are shorter than those of anyone sitting back on Earth. So they both agree that they are the same age when they come back, but have aged less than the ones remaining behind.
From: Dono. on 16 Jun 2010 14:41 On Jun 16, 11:30 am, Igor <thoov...(a)excite.com> wrote: > On Jun 16, 2:25 am, colp <c...(a)solder.ath.cx> wrote: > > > > > The classic twin paradox is asymmetric in that one twin remains on > > Earth while the other leaves (i.e. only one of them accelerates and > > deaccelerates). In the symmetric twin paradox both twins leave Earth, > > setting out in opposite directions and returning to Earth at the same > > time. The conventional explanation for the classic twin paradox is > > since only one twin accelerates, the ages of the twins will be > > different. In the symmetric case this argument cannot be applied. > > > The paradox of the symmetric twins is that according to special > > relativity (SR) each twin observes the other twin to age more slowly > > both on the outgoing leg > > and the return leg, so SR paradoxically predicts that each twin will > > be younger than > > the other when they return to Earth. > > > The symmetric twin paradox is described more fully in the following > > paper: > > > The Twin Paradox Revisited and Reformulated -- On the Possibility of > > Detecting Absolute Motion > > Authors: G. G. Nyambuya, M. D. Ngobeni > > >http://adsabs.harvard.edu/abs/2008arXiv0804.2008N > > > "We introduce a symmetric twin paradox whose solution can not be found > > within the currently accepted provinces of the STR if one adopts the > > currently accepted philosophy of the STR namely that it is impossible > > for an inertial observer to determine their state of motion." > > There is NO paradox. The length of each twin's path through spacetime > is identical and both are shorter than those of anyone sitting back on > Earth. So they both agree that they are the same age when they come > back, but have aged less than the ones remaining behind. Absolutely. Yet the two authors managed to upload their garbage on arxiv.
From: BURT on 16 Jun 2010 14:57 On Jun 16, 11:41 am, "Dono." <sa...(a)comcast.net> wrote: > On Jun 16, 11:30 am, Igor <thoov...(a)excite.com> wrote: > > > > > > > On Jun 16, 2:25 am, colp <c...(a)solder.ath.cx> wrote: > > > > The classic twin paradox is asymmetric in that one twin remains on > > > Earth while the other leaves (i.e. only one of them accelerates and > > > deaccelerates). In the symmetric twin paradox both twins leave Earth, > > > setting out in opposite directions and returning to Earth at the same > > > time. The conventional explanation for the classic twin paradox is > > > since only one twin accelerates, the ages of the twins will be > > > different. In the symmetric case this argument cannot be applied. > > > > The paradox of the symmetric twins is that according to special > > > relativity (SR) each twin observes the other twin to age more slowly > > > both on the outgoing leg > > > and the return leg, so SR paradoxically predicts that each twin will > > > be younger than > > > the other when they return to Earth. > > > > The symmetric twin paradox is described more fully in the following > > > paper: > > > > The Twin Paradox Revisited and Reformulated -- On the Possibility of > > > Detecting Absolute Motion > > > Authors: G. G. Nyambuya, M. D. Ngobeni > > > >http://adsabs.harvard.edu/abs/2008arXiv0804.2008N > > > > "We introduce a symmetric twin paradox whose solution can not be found > > > within the currently accepted provinces of the STR if one adopts the > > > currently accepted philosophy of the STR namely that it is impossible > > > for an inertial observer to determine their state of motion." > > > There is NO paradox. The length of each twin's path through spacetime > > is identical and both are shorter than those of anyone sitting back on > > Earth. So they both agree that they are the same age when they come > > back, but have aged less than the ones remaining behind. > > Absolutely. > Yet the two authors managed to upload their garbage on arxiv.- Hide quoted text - > > - Show quoted text - If the twin on the fast moving train sees the station's clock running slow when passing(ket us say the clock is outside) then how can the train be aging slower? Where did the lost time of SR go? MItch Raemsch
From: eric gisse on 16 Jun 2010 16:23 Dono. wrote: > On Jun 15, 11:25 pm, colp <c...(a)solder.ath.cx> wrote: >> >> >> The Twin Paradox Revisited and Reformulated -- On the Possibility of >> Detecting Absolute Motion >> Authors: G. G. Nyambuya, M. D. Ngobeni >> >> http://adsabs.harvard.edu/abs/2008arXiv0804.2008N >> > > > So, two idiots wrote a paper and uploaded it on arxiv. BFD. > The first two references are precious: > > [2] Cahill T. R., 2007, Dynamical 3-Space: A Review; > arXiv:0705.4146 > [2] Cahill T. R., 2008, Unravelling Lorentz Covariance and the > Spacetime Formalism;arXiv:0807.1767 Oh, that's cute. I didn't see /that/.
From: Mike_Fontenot on 16 Jun 2010 10:57
colp wrote: > The paradox of the symmetric twins is that according to special > relativity (SR) each twin observes the other twin to age more slowly > both on the outgoing leg > and the return leg, so SR paradoxically predicts that each twin will > be younger than > the other when they return to Earth. > The above statement leaves out the fact that each twin will conclude that the other twin suddenly ages a lot during (the observer's) turnaround. So when each twin adds up the THREE components of the ageing of the other twin, they will each conclude that the other twin is the same age when they are re-united. Mike Fontenot |