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EINSTEIN'S TWIN PARADOX IN TWO SCENARIOS



 
 
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  #1  
Old August 15th 15, 08:32 AM posted to sci.astro
Pentcho Valev
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Default EINSTEIN'S TWIN PARADOX IN TWO SCENARIOS

Let us imagine that all ants spread out on the closed polygonal line have clocks:

http://cliparts101.com/files/131/AB2..._rectangle.png

Scenario 1: The clocks/ants spread out on the closed polygonal line are STATIONARY.

Given Scenario 1, Einstein's 1905 constant-speed-of-light postulate entails that, if a single moving ant is travelling along the polygonal line and its clock is consecutively checked against the multiple stationary ants' clocks, the moving ant's clock will show less and less time elapsed than the stationary clocks. In terms of the twin paradox, the single moving ant gets younger and younger than stationary brothers it consecutively meets.

Scenario 2: The clocks/ants spread out on the closed polygonal line are MOVING with constant speed along the line.

Given Scenario 2, Einstein's 1905 constant-speed-of-light postulate entails that the clock of a single stationary ant located in the middle of one of the sides of the polygon will show less and less time elapsed than the multiple moving clocks consecutively passing it. In terms of the twin paradox, the single stationary ant gets younger and younger than moving brothers it consecutively meets.

Clearly Einstein's 1905 constant-speed-of-light postulate entails absurdities (stationary clocks tick both faster and slower than moving ones) and should be rejected as false. Einstein's relativity is an inconsistency and should be abandoned:

http://cdn.preterhuman.net/texts/tho...%20science.pdf
W.H. Newton-Smith, THE RATIONALITY OF SCIENCE, 1981, p. 229: "A theory ought to be internally consistent. The grounds for including this factor are a priori. For given a realist construal of theories, our concern is with verisimilitude, and if a theory is inconsistent it will contain every sentence of the language, as the following simple argument shows. Let 'q' be an arbitrary sentence of the language and suppose that the theory is inconsistent.. This means that we can derive the sentence 'p and not-p'. From this 'p' follows. And from 'p' it follows that 'p or q' (if 'p' is true then 'p or q' will be true no matter whether 'q' is true or not). Equally, it follows from 'p and not-p' that 'not-p'. But 'not-p' together with 'p or q' entails 'q'. Thus once we admit an inconsistency into our theory we have to admit everything. And no theory of verisimilitude would be acceptable that did not give the lowest degree of verisimilitude to a theory which contained each sentence of the theory's language and its negation."

http://www.informaworld.com/smpp/con...ent=a909857880
Peter Hayes "The Ideology of Relativity: The Case of the Clock Paradox" : Social Epistemology, Volume 23, Issue 1 January 2009, pages 57-78: "Precisely because Einstein's theory is inconsistent, its exponents can draw on contradictory principles in a way that greatly extends the apparent explanatory scope of the theory. Inconsistency may be a disadvantage in a scientific theory but it can be a decisive advantage in an ideology. The inconsistency of relativity theory - to borrow the language of the early Marx - gives relativity its apparent universal content. This seeming power of explanation functions to enhance the status of the group, giving them power over others through the enhanced control over resources, and a greater power to direct research and to exclude and marginalise dissent."

Pentcho Valev
  #2  
Old August 15th 15, 04:23 PM posted to sci.astro
Pentcho Valev
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Default EINSTEIN'S TWIN PARADOX IN TWO SCENARIOS

Scenario 2, in which the stationary clock runs slowly compared with the moving clock, was discussed by Einstein in his 1918 paper:

http://en.wikisource.org/wiki/Dialog...f_rela tivity
Dialog about Objections against the Theory of Relativity, 1918, Albert Einstein: "During the partial processes 2 and 4 [the outward and return parts of the trip] the clock U1, going at a velocity v, runs indeed at a slower pace than the resting clock U2. However, this is more than compensated by a faster pace of U1 during partial process 3. According to the general theory of relativity, a clock will go faster the higher the gravitational potential of the location where it is located, and during partial process 3 U2 happens to be located at a higher gravitational potential than U1. The calculation shows that this speeding ahead constitutes exactly twice as much as the lagging behind during the partial processes 2 and 4." [Note: In Einstein's paper U2 is actually the travelling clock and U1 is the resting one, but since in the above quotation things are judged from the traveller's reference frame, U1 is said to be "going at a velocity v" while U2 is called "resting".]

All (not very silly) Einsteinians know that the turning-around acceleration ("higher gravitational potential") is totally irrelevant. Some don't see why it should contaminate the analysis and reject it explicitly:

http://sciencechatforum.com/viewtopic.php?f=84&t=26847
Don Lincoln: "A common explanation of this paradox is that the travelling twin experienced acceleration to slow down and reverse velocity. While it is clearly true that a single person must experience this acceleration, you can show that the acceleration is not crucial. What is crucial is that the travelling twin experienced time in two reference frames, while the homebody experienced time in one. We can demonstrate this by a modification of the problem. In the modification, there is still a homebody and a person travelling to a distant star. The modification is that there is a third person even farther away than the distant star. This person travels at the same speed as the original traveler, but in the opposite direction. The third person's trajectory is timed so that both of them pass the distant star at the same time. As the two travelers pass, the Earthbound person reads the clock of the outbound traveler. He then adds the time he experiences travelling from the distant star to Earth to the duration experienced by the outbound person. The sum of these times is the transit time. Note that no acceleration occurs in this problem...just three people experiencing relative inertial motion."

http://www.fnal.gov/pub/today/archiv...lReadMore.html
Don Lincoln: "Some readers, probably including some of my doctoral-holding colleagues at Fermilab, will claim that the difference between the two twins is that one of the two has experienced an acceleration. (After all, that's how he slowed down and reversed direction.) However, the relativistic equations don't include that acceleration phase; they include just the coasting time at high velocity."

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."

Other Einsteinians are hesitating and describe the turning-around acceleration as both important and unimportant:

http://www.people.fas.harvard.edu/~djmorin/chap11.pdf
Introduction to Classical Mechanics With Problems and Solutions, David Morin, Cambridge University Press, Chapter 11, p. 14: "Twin A stays on the earth, while twin B flies quickly to a distant star and back. (...) For the entire outward and return parts of the trip, B does observe A's clock running slow, but enough strangeness occurs during the turning-around period to make A end up older. Note, however, that a discussion of acceleration is not required to quantitatively understand the paradox..."

John Norton, the subtlest practitioner of doublethink in Einsteiniana, is not hesitating - he is lying just as blatantly as Einstein:

http://www.pitt.edu/~jdnorton/teachi...yon/index.html
John Norton: "Then, at the end of the outward leg, the traveler abruptly changes motion, accelerating sharply to adopt a new inertial motion directed back to earth. What comes now is the key part of the analysis. The effect of the change of motion is to alter completely the traveler's judgment of simultaneity. The traveler's hypersurfaces of simultaneity now flip up dramatically. Moments after the turn-around, when the travelers clock reads just after 2 days, the traveler will judge the stay-at-home twin's clock to read just after 7 days. That is, the traveler will judge the stay-at-home twin's clock to have jumped suddenly from reading 1 day to reading 7 days. This huge jump puts the stay-at-home twin's clock so far ahead of the traveler's that it is now possible for the stay-at-home twin's clock to be ahead of the travelers when they reunite."

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. The Party intellectual knows in which direction his memories must be altered; he therefore knows that he is playing tricks with reality; but by the exercise of doublethink he also satisfies himself that reality is not violated. The process has to be conscious, or it would not be carried out with sufficient precision, but it also has to be unconscious, or it would bring with it a feeling of falsity and hence of guilt. Doublethink lies at the very heart of Ingsoc, since the essential act of the Party is to use conscious deception while retaining the firmness of purpose that goes with complete honesty. To tell deliberate lies while genuinely believing in them, to forget any fact that has become inconvenient, and then, when it becomes necessary again, to draw it back from oblivion for just so long as it is needed, to deny the existence of objective reality and all the while to take account of the reality which one denies - all this is indispensably necessary. (...) 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
  #3  
Old August 16th 15, 06:30 AM posted to sci.astro
Pentcho Valev
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Default EINSTEIN'S TWIN PARADOX IN TWO SCENARIOS

One of the fundamental lies in Einstein's schizophrenic world:

https://www.youtube.com/watch?v=rRJZceArkLQ
Doc Schuster: "Time slows down for moving people."

Actually, what validly follows from Einstein's 1905 postulates is:

Time SPEEDS UP for moving people.

Neil deGrasse Tyson is teaching the same lie (which nowadays is an absolute truth after being constantly repeated for more than a century):

https://www.youtube.com/watch?v=n2s1-RHuljo
Neil deGrasse Tyson: "One of the towering great achievements of the human mind in our understanding of the universe is Einstein's theories of relativity. (...) It makes only two assumptions: that the speed of light in a vacuum is constant no matter who is doing the measurement and no matter in what direction you are moving or how fast. You always get the same measurement for the speed of light. That's Assumption 1 which by the way the experiment has shown to be true. Assumption 2... (...) Given those two tenets, extraordinary spooky phenomena derive from them. For example: As you travel faster (...) time ticks MORE SLOWLY for you than it does for other people who are not."

Just the opposite conclusion derives from the two tenets (assumptions):

As you travel faster, time ticks FASTER for you than it does for stationaries (you see your clock running FASTER than stationary clocks).

Here are people who do teach the correct conclusion:

http://www.people.fas.harvard.edu/~djmorin/chap11.pdf
Introduction to Classical Mechanics With Problems and Solutions, David Morin, Cambridge University Press, Chapter 11, p. 14: "Twin A stays on the earth, while twin B flies quickly to a distant star and back. (...) For the entire outward and return parts of the trip, B does observe A's clock running slow..."

http://sciliterature.50webs.com/Dialog.htm
Albert Einstein: "During the partial processes 2 and 4 [the outward and return parts of the trip] the clock U1, going at a velocity v, runs indeed at a slower pace than the resting clock U2." [Note: In Einstein's paper U2 is actually the travelling clock and U1 is the resting one, but since in the above quotation things are judged from the traveller's reference frame, U1 is said to be "going at a velocity v" while U2 is called "resting".]

Pentcho Valev
 




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