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THE MISSING PART OF THE TWIN PARADOX



 
 
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  #1  
Old February 27th 13, 11:50 PM posted to sci.astro
Pentcho Valev
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Default THE MISSING PART OF THE TWIN PARADOX

A train is at rest and a clock on the ground is moving to and fro between two clocks situated at the front and the back end of the train. The speed of the moving clock is constant except for the turn-arounds where the clock suffers sharp acceleration. This is the classical relativistic scenario - relativity predicts that the moving clock runs slower than the two clocks at rest on the train.

In a complementary scenario (which is missing in the relativistic literature), the clock on the ground is at rest but the train is moving to and fro so that the clock on the ground formally commutes between the front and the back of the train as before. Will the clock on the ground run slower or faster than the two clocks situated at the front and the back end of the moving train? What does relativity say?

A clue:

http://www.amazon.com/Relativity-Its.../dp/0486406768
Relativity and Its Roots, Banesh Hoffmann, p. 105: "In one case your clock is checked against two of mine, while in the other case my clock is checked against two of yours, and this permits us each to find without contradiction that the other's clocks go more slowly than his own."

Pentcho Valev
  #2  
Old February 28th 13, 01:52 PM posted to sci.astro
Pentcho Valev
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Posts: 8,078
Default THE MISSING PART OF THE TWIN PARADOX

A clock on the ground is at rest but a train is moving to and fro so that the clock on the ground formally commutes between the front and the back of the train. The speed of the train is constant except for the turn-arounds when clocks on the train suffer sharp acceleration. Will the clock on the ground run slower or faster than clocks on the the moving train? What does relativity say?

First of all it should be noted that the acceleration suffered by moving clocks cannot be responsible for time dilation effects:

http://www.damtp.cam.ac.uk/research/...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."

It should also be noted that a clock at the front of the moving train coincides with the travelling twin's clock in the classical twin paradox scenario. Accordingly, relativity predicts that the clock at rest on the ground runs FASTER than the clock at the front of the train.

On the other hand, relativity predicts that, ALL ALONG, observers on the moving train measure the clock at rest on the ground to run SLOWER than clocks on the train.

This is called REDUCTIO AD ABSURDUM. The underlying postulate, the principle of constancy of the speed of light, is false and should be rejected.

Pentcho Valev
  #3  
Old February 28th 13, 10:32 PM posted to sci.astro
Pentcho Valev
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Default THE MISSING PART OF THE TWIN PARADOX

Horrible doublethink in Einsteiniana:

Accelerations are responsible for the youthfulness of the travelling twin:

http://www.pitt.edu/~jdnorton/teachi...yon/index.html
John Norton: "That inertial observers in relative motion will each judge the others' clocks to run slower is, by now, a quite familiar and readily understandable outcome of relativity theory. It does take a little while to get used to the idea, of course. When you first hear it, it seems strange and even paradoxical. How can each be correct in judging the other's clock to have slowed? What would happen if the two observers meet and compare their clocks? If relativity is right, each would have to read a time earlier than other; and surely that is impossible. Or is it? We now know that these concerns are misplaced. The clocks cannot start out from the same place and then be re-united without one or both accelerating; and those accelerations so interfere with the analysis that no contradiction arises. When either accelerates, they cease to be inertial observers. However an enduring literature has tried to generate some sort of paradox from the effect of relativistic clock slowing. The most famous of the these attempts is associated with a story of two twins. One stays on the earth - the "stay-at home-twin." The stay-at-home twin's motion is inertial throughout. The other travels off rapidly into space, journeys far and fast and then returns home. The traveling twin must accelerate to complete this journey."

Accelerations are not responsible for the youthfulness of the travelling twin:

http://www.damtp.cam.ac.uk/research/...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."

http://ebooks.adelaide.edu.au/o/orwe...hapter2.9.html
"Doublethink means the power of holding two contradictory beliefs in one's mind simultaneously, and accepting both of them. (...) It need hardly be said that the subtlest practitioners of doublethink are those who invented doublethink and know that it is a vast system of mental cheating. In our society, those who have the best knowledge of what is happening are also those who are furthest from seeing the world as it is. In general, the greater the understanding, the greater the delusion ; the more intelligent, the less sane."

Pentcho Valev
 




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