1. Twins Paradox vs Redshift (Experiment)

Letīs consider the following experiment concerning Twins Paradox.
Two identical Twins. Two atomic clocks, each one provided with a radio transmitter configured to send a powerful radio signal per second. One twin will stay on Earth with one clock. The other twin, together with his clock will make a journey into space in a high-speed space ship, moving 0.85 c (Speed relative to each other) After reaching a distance d=1 light year, the twin will return Earth again with a velocity of 0.85 c

... Please, Letīs analyze the situation not from the perspective of the Earth or the space ship but from a very distant point where a nice alien is studing us with an advanced Radio telescope provided with a radio espectrometer.

To be precise, if the movement of the twin takes place following the X axis, from x= -0.5 to x=0.5 light years, our observer will be situated stationary at a distance of D=10000 light years over the Y axis, I mean, over a line that is perpendicular to the movement of the twins. That way and considering that D>>>d the movement of the traveling twin, towards or backwards our observer will be absolutely insignificant.

If you believe in the twins paradox, you will probably agree with those who afirm that when the traveling twin will return home he will find that he has aged less than his identical twin. Just the same way, his radio transmitter should have sent less radio signals to the space than the identical device which stayed on Earth.

Please, let me call your attention to the fact that, in this case, the independent observer should have seen the traveling twin and his radio signals, red shifted. EVEN WHEN THERE WAS NOT A MOVEMENT TOWARDS OR BACKWARDS THE OBSERVER.

Suddenly something is in danger, The Twins Paradox, or on the contrary the validity of the Doppler Effect to study the celestial bodies movement in space, including the Theory of an Expanding Universe based on Red Shifting.

What do u think?

Best regards
J. Gabas

2.

3. Without quite reading the whole thing, you still need to know how the distant point is moving relative to the two clocks. Distance doesn't really change anything except to add a time lag.

4. Originally Posted by jgabase

Letīs consider the following experiment concerning Twins Paradox.
Two identical Twins. Two atomic clocks, each one provided with a radio transmitter configured to send a powerful radio signal per second. One twin will stay on Earth with one clock. The other twin, together with his clock will make a journey into space in a high-speed space ship, moving 0.85 c (Speed relative to each other) After reaching a distance d=1 light year, the twin will return Earth again with a velocity of 0.85 c

... Please, Letīs analyze the situation not from the perspective of the Earth or the space ship but from a very distant point where a nice alien is studing us with an advanced Radio telescope provided with a radio espectrometer.

To be precise, if the movement of the twin takes place following the X axis, from x= -0.5 to x=0.5 light years, our observer will be situated stationary at a distance of D=10000 light years over the Y axis, I mean, over a line that is perpendicular to the movement of the twins. That way and considering that D>>>d the movement of the traveling twin, towards or backwards our observer will be absolutely insignificant.

If you believe in the twins paradox, you will probably agree with those who afirm that when the traveling twin will return home he will find that he has aged less than his identical twin. Just the same way, his radio transmitter should have sent less radio signals to the space than the identical device which stayed on Earth.

Please, let me call your attention to the fact that, in this case, the independent observer should have seen the traveling twin and his radio signals, red shifted. EVEN WHEN THERE WAS NOT A MOVEMENT TOWARDS OR BACKWARDS THE OBSERVER.

Suddenly something is in danger, The Twins Paradox, or on the contrary the validity of the Doppler Effect to study the celestial bodies movement in space, including the Theory of an Expanding Universe based on Red Shifting.

What do u think?

Best regards
J. Gabas
There is something called "transverse Doppler shift", which is, in effect, that part of the Doppler shift due to Relativistic effects, and your observer will see that red-shift, leading him to determine that the traveling twin aged less. There is nothing about Doppler shift or Relativity that contradict each other as long as you remember to use Relativistic Doppler shift instead of classical Red shift.

5. Thanks for your answer Janus. It makes sense to me. But then.. how do Astronomers do to know if a celestial body is moving towards or backwards us. Acording to my example you could detect Red Shifting even in objects that are moving towards the observer if the component due to transverse Doppler is higher than the clasical doppler measurements....

...by the way, my feelings still have some problems with the Twins Paradox. I hope you will help me to solve them. Thank again.

6. Originally Posted by jgabase
Thanks for your answer Janus. It makes sense to me. But then.. how do Astronomers do to know if a celestial body is moving towards or backwards us. Acording to my example you could detect Red Shifting even in objects that are moving towards the observer if the component due to transverse Doppler is higher than the clasical doppler measurements....

...by the way, my feelings still have some problems with the Twins Paradox. I hope you will help me to solve them. Thank again.
See proposition 2.9 in this paper. It is the rigorous and correct way to address the "Twin Paradox". Even if you cannot follow the proof, try to understand the statement. It will be worthwhile.

http://arxiv.org/PS_cache/math/pdf/0603/0603190v3.pdf

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