Re: The real twin paradox.
- From: colp <colp@xxxxxxxxxxxxx>
- Date: Thu, 22 Nov 2007 18:57:51 -0800 (PST)
On Nov 22, 8:35 am, Igor <thoov...@xxxxxxxxxx> wrote:
On Nov 21, 2:14 am, colp <c...@xxxxxxxxxxxxx> wrote:
This thought experiment is like the classic twin paradox, but in this
expirement both twins leave earth and travel symmetric return trips in
opposite directions.
Since the paths taken by the twins in this experiment are symmetric,
they must be the same age when they meet on their return to earth.
In this experiment the twins maintain constant observation of each
other's clocks, from when they depart until they return and find that
their clocks tell the same time.
Special relativity says that each twin must observe that the other's
clock is running slow, and at no time does special relativity allow
for an observation which shows that the other clock is running fast.
The paradox is that special relativity says that a twin will never see
the other twin's clock catch up, but the clocks must show the same
time at the end of the experiment because of symmetry.
Due to the symmetry, both twins experience the same elapsed proper
time. That's all that matters.
.... if you want to ignore the contradiction between a prediction of
special relativity and a logical inference in a thought experiment.
.
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