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| Tags: paradox, symmetric, twins |
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#21
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Sue... wrote:
Paul B. Andersen wrote: Sue... wrote: dlzc wrote: Dear Sue: Sue... wrote: N:dlzc D:aol T:com (dlzc) wrote: Dear lkoluk2003: wrote in message oups.com... If you did the math, observer A sees observer B's clock go very slowly on A's outbound, continue slowly for some time with A inbound (since B's start-of-return doesn't reach A until later) then sees B's clock rate increase until it meets A at Earth, with net 0 difference at Earth. So three observers in a symmetric situation yields two results, because only two unique paths are described. It is the words that trick your common sense, not the facts. Use the math. In response to your complaints about the elastic properties of today's garden hose material and the possibility of "bead bunching", we are proud to announce the all new and improved Three clocks, two different elapsed times. Argument? Beads, hoses? I'm not looking to buy Manhattan... )Uhmm Kimosabe, Manhattan cost you heapum wampum. I'll let the web publishing of Unnikrishnan, Fitzpatrick and MIT serve as my argument for *this* thread because the OP doesn't mention resolution of the postulates and that is where an SR discussion needs to go to be productive for the OP. We can discuss equal length path techniques in a thread where electromagnetism is not the focus. I was just injecting some humor, not intending to do anything to interfere with the remote possibility that the discussion might wander off into the physics arena. ;-) Regards, Sue... There is no risk that you ever will wander into the physics arena. You are babbling a lot about hoses and marbles, but you are utterly unable to explain how you would use them to prove your claims. I've made no claims in this tread other than beads on a string count as well as marbles in a hose. I can understand why you might disagree... your telekinesis teacher told you too. You flee like hell every time someone asks you to do so. Like you did now. Perhaps I find this more interesting than telekinesis and snake worship. http://farside.ph.utexas.edu/teaching.html http://web.mit.edu/8.02t/www/802TEAL...ight/index.htm http://en.wikipedia.org/wiki/Multiple_integral Learn some physics so you're not such a bore. Sue... Paul ...and did again. Paul |
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#22
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Sue... wrote:
Clocks don't measure time and don't respond in any predictable manner to motion so only fools would consicer making calculations. Sue... :-) Paul |
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#23
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N:dlzc D:aol T:com (dlzc) yazdi: Dear lkoluk2003: wrote in message oups.com... ... Let A B are the twins and C is a third observer. The twins move away from the earth in opposite directions and C remains rest on the earth. Assume their clock is synchronized just before the movement. After accelaration twins continue to their journey in a constant speed. After some time they return back and land on the earth. Let from the C's point of view, the twins all accelarate at the same time and with the same amount. The only difference between the twins is that they travel in opposite directions. After returning back they compare their clocks. If SR is true, "true" is not part of science. "what is observed, within our ability to measure" is part of science. according to C, the twins clock will slow down with the same amount and their clocks must be the same. On the other hand, according to the twin A, twin B's clock must be slow down and not the same with his/her clock. The same thing is true for twin B. Of course there can be only one result. However, according to SR, three observer comes out with three different results. If you did the math, observer A sees observer B's clock go very slowly on A's outbound, continue slowly for some time with A inbound (since B's start-of-return doesn't reach A until later) then sees B's clock rate increase until it meets A at Earth, with net 0 difference at Earth. So three observers in a symmetric situation yields two results, because only two unique paths are described. It is the words that trick your common sense, not the facts. Use the math. David A. Smith What I know from SR is that a clock moving with a constant speed will slow down regardless of the direction of movement. The clock formula is t=t'.sqrt(1-v^2/c^2) where t is the clock rate of twin A and t' is the clock rate of twin B from the point of view of A. Although there are two different value of the square root, one is positive and other is negative. However, always the positive value is used because of there is a similar formula for length contraction. The length formula is l=l'.sqrt(1-v^2/c^2). Also l'/t' must be equal to l/t. If the negative value were used, a negative length would be obtained. So since v enters into the equation as v^2, the direction is not important. Lokman Kolukisa |
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#24
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Mike Fontenot yazdi: Lokman Kolukisa ) wrote: [...] If SR is true, according to C, the twins clock will slow down with the same amount and their clocks must be the same. That's correct. Since C is unaccelerated during the entire voyages by A and B, C can make use of the time-dilation result for the entire trips: According to C, A and B will each age at the same constant rate, which is less than the rate of ageing of C. On the other hand, according to the twin A, twin B's clock must be slow down and not the same with his/her clock. That's only true during the two periods where A is not accelerating. The time-dilation result only holds during periods of time where the observer is unaccelerated. For A, there are two such periods: during his outbound leg, and during his inbound leg. When A accelerates at his turnaround point, he will conclude that B suddenly ages. When he adds the three components of B's total ageing (B's ageing during A's outbound leg + B's ageing during A's turnaround + B's ageing during A's inbound leg), he will get the same total that C got. (And B will come to the same conclusions about A's ageing, as A concluded about B's ageing.) The amount of the ageing of the object that occurs during the acceleration of the observer is proportional to their separation. That's why the initial and final accelerations by the observer at the beginning and end of the trips don't cause any ageing of the object, but the acceleration of the observer at the turnaround does cause a sudden ageing of the object (according to the accelerating observer). The abrupt ageing during the turnaround occurs both for instantaneous speed changes, and for finite accelerations (whenever the separation at the turnaround is sufficiently great). For a detailed example with 1g accelerations, see my web page: http://home.comcast.net/~mlfasf For more information about the abrupt change in the age of the object during accelerations by the observer, see my paper: "Accelerated Observers in Special Relativity", PHYSICS ESSAYS, December 1999, p629. Mike Fontenot So are you say that the ageing during acceleration vanishes the affect of slow down caused by constant speed? What I know from GR(General Relativity) is that affect of acceleration is equal to the affect of gravitation. It is known that in gravitational fields the clock slows down. So such an ageing is not possible during an acceleration. Lokman Kolukisa |
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#26
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wrote:
N:dlzc D:aol T:com (dlzc) yazdi: Dear lkoluk2003: wrote in message oups.com... ... Let A B are the twins and C is a third observer. The twins move away from the earth in opposite directions and C remains rest on the earth. Assume their clock is synchronized just before the movement. After accelaration twins continue to their journey in a constant speed. After some time they return back and land on the earth. Let from the C's point of view, the twins all accelarate at the same time and with the same amount. The only difference between the twins is that they travel in opposite directions. After returning back they compare their clocks. If SR is true, "true" is not part of science. "what is observed, within our ability to measure" is part of science. according to C, the twins clock will slow down with the same amount and their clocks must be the same. On the other hand, according to the twin A, twin B's clock must be slow down and not the same with his/her clock. The same thing is true for twin B. Of course there can be only one result. However, according to SR, three observer comes out with three different results. If you did the math, observer A sees observer B's clock go very slowly on A's outbound, continue slowly for some time with A inbound (since B's start-of-return doesn't reach A until later) then sees B's clock rate increase until it meets A at Earth, with net 0 difference at Earth. So three observers in a symmetric situation yields two results, because only two unique paths are described. It is the words that trick your common sense, not the facts. Use the math. David A. Smith What I know from SR is that a clock moving with a constant speed will slow down regardless of the direction of movement. You seem to have removed a light path and inserted a statement about direction and asserted behavior about a mechanism we have no knowledge of. As judged from K, the clock is moving with the velocity v; as *judged* from this reference-body, the time which elapses between two strokes of the clock is not one second, but http://www.bartleby.com/173/M5.GIF seconds, i.e. a somewhat larger time. As a consequence of its motion the clock goes more slowly than when at rest. http://www.bartleby.com/173/12.html The constantcy of c manifest itself as a retarded potenital, never advanced so a receeding motion is all that applies to the tho't experiments. Advanced potentials? http://farside.ph.utexas.edu/teachin...es/node51.html Retarded potentials http://farside.ph.utexas.edu/teachin...es/node50.html (length contraction is applied in the time domain in eq 511) ^ Sue... The clock formula is t=t'.sqrt(1-v^2/c^2) where t is the clock rate of twin A and t' is the clock rate of twin B from the point of view of A. Although there are two different value of the square root, one is positive and other is negative. However, always the positive value is used because of there is a similar formula for length contraction. The length formula is l=l'.sqrt(1-v^2/c^2). Also l'/t' must be equal to l/t. If the negative value were used, a negative length would be obtained. So since v enters into the equation as v^2, the direction is not important. Lokman Kolukisa |
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#27
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"Retarded Potential" wrote in message oups.com... | http://farside.ph.utexas.edu/teachin...es/node50.html "Let us now consider a moving charge. Such a charge is continually emitting spherical waves..." Explain why you continue to cite drivel written by a moron. Your only excuse is that you wish people who know no better to imagine you have a clue, Retarded Potential. http://www.androcles01.pwp.blueyonde.../ship2star.gif (122 kB) http://www.androcles01.pwp.blueyonde.../star2ship.gif (122 kB) Copernicus, Galileo, Newton, Michelson and Sagnac would agree with me. After all, I learnt it from them, not a halfwit in Texas or a half-baked aetherialist/relativist nitwit named "Runaround Sue" aka "Retarded Potential". Nor do I believe the sky is turning, even though I can see it is. http://antwrp.gsfc.nasa.gov/apod/ap050714.html Moving charges do not emit spherical waves at all, that requires acceleration. Get used to the idea that the modern physics professor is a drooling moron babbling nonsense, most of them are tusselader like our own dear ASSistant Professor Andersen and your beloved Texan heart-throb Richard Fitzpatrick 2006-02-02 , who has gone completely off his rocker comparing water with aether. Androcles. |
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#28
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Sorcerer wrote: "Retarded Potential" wrote in message oups.com... | http://farside.ph.utexas.edu/teachin...es/node50.html "Let us now consider a moving charge. Such a charge is continually emitting spherical waves..." Explain why you continue to cite drivel written by a moron. http://farside.ph.utexas.edu/cv.pdf Show us your CV. Sue... |
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#29
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"Retarded Potential" wrote in message ups.com... | | Sorcerer wrote: | "Retarded Potential" wrote in message oups.com... | | | http://farside.ph.utexas.edu/teachin...es/node50.html | | "Let us now consider a moving charge. Such a charge is continually emitting spherical waves..." | | Explain why you continue to cite drivel written by a moron. Did you snip something relevant? | http://farside.ph.utexas.edu/teachin...es/node50.html "Let us now consider a moving charge. Such a charge is continually emitting spherical waves..." Explain why you continue to cite drivel written by a moron. Your only excuse is that you wish people who know no better to imagine you have a clue, Retarded Potential. http://www.androcles01.pwp.blueyonde.../ship2star.gif (122 kB) http://www.androcles01.pwp.blueyonde.../star2ship.gif (122 kB) Copernicus, Galileo, Newton, Michelson and Sagnac would agree with me. After all, I learnt it from them, not a halfwit in Texas or a half-baked aetherialist/relativist nitwit named "Runaround Sue" aka "Retarded Potential". Nor do I believe the sky is turning, even though I can see it is. http://antwrp.gsfc.nasa.gov/apod/ap050714.html Moving charges do not emit spherical waves at all, that requires acceleration. Get used to the idea that the modern physics professor is a drooling moron babbling nonsense, most of them are tusselader like our own dear ASSistant Professor Andersen and your beloved Texan heart-throb Richard Fitzpatrick 2006-02-02 , who has gone completely off his rocker comparing water with aether. Androcles. |
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#30
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Dear lkoluk2003:
wrote in message ups.com... N:dlzc D:aol T:com (dlzc) yazdi: .... What I know from SR is that a clock moving with a constant speed will slow down regardless of the direction of movement. *Only* compared to a clock moving at a different speed (inclusive of zero). Within the frame of the moving clock, all processes appear normal. The clock formula is t=t'.sqrt(1-v^2/c^2) where t is the clock rate of twin A and t' is the clock rate of twin B from the point of view of A. Although there are two different value of the square root, No. The square root is defined to be only the positive inverse of the square function. It is a function, and cannot have +/- and still be a function. one is positive and other is negative. No. However, always the positive value is used because of there is a similar formula for length contraction. The positive value is used, because only the positive value is the result of the *function* sqrt(). The binomial theorem, for example, two solutions inherent in its derivation... one with (+1) * sqrt() and one with (-1) * sqrt(). The length formula is l=l'.sqrt(1-v^2/c^2). Also l'/t' must be equal to l/t. If the negative value were used, a negative length would be obtained. So since v enters into the equation as v^2, the direction is not important. And this all has nothing to do with your original "paradox". David A. Smith |
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