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Old 06-30-2009, 05:48 AM
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Default Modified Twin Paradox

In my research for a school project, I've stumbled across a modified twin paradox here.

It apparently seems to violate special relativity, yet I cannot find any faults in the argument with my current knowledge (admittedly not a lot, but I've read about the original twin paradox).

I have searched the internet for an answer, but there seems to be nothing written about this. As it is the holidays, I am unable to ask my teachers. So can someone provide an explanation or refutation (for my interest)?

Any help would be appreciated.
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Old 06-30-2009, 10:57 AM
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Thanks for the link.

I dont have an answer to this but have a similar query.

Each feels time slows down in the other ship. But the reading on a digital clock is a unique number and cannot be seen as different by two observers!
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Old 07-03-2009, 10:24 PM
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Quote:
Originally Posted by sKiD View Post
In my research for a school project, I've stumbled across a modified twin paradox here.

It apparently seems to violate special relativity, yet I cannot find any faults in the argument with my current knowledge (admittedly not a lot, but I've read about the original twin paradox).

I have searched the internet for an answer, but there seems to be nothing written about this. As it is the holidays, I am unable to ask my teachers. So can someone provide an explanation or refutation (for my interest)?

Any help would be appreciated.
The assumption [i]At the time each twin passes the beacon, at a high relative velocity, each will believe that his counterpart should be younger.[/quote] is false. This is not what is predicted by special relativity. The twin paradox is based on an asymmetry in the observers motion. In that example there is no asymmetry present.
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Old 07-06-2009, 08:09 PM
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Thank you for both your replies.

@Pmb:
what would be predicted for special relativity?

I'm still a bit confused. The original twin paradox is explained away with the asymmetry (one twin accelerates, so not in an inertial frame). As you said, this one is symmetrical and both are in inertial frames throughout. Shouldn't the time dilation equation be applied for both of them? And if so wouldn't they measure the other to be younger, seeing they have been travelling a constant relativistic 2v relative to each other their whole lives?
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Old 07-07-2009, 04:03 PM
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Quote:
Originally Posted by sKiD View Post
Shouldn't the time dilation equation be applied for both of them?
Yes. Each observer measures the other's clocks to be running slower.
Quote:
Originally Posted by sKiD View Post
And if so wouldn't they measure the other to be younger, ..
No. Measuring age is different than measuring the rate someone is aging.
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