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| Tags: explained, moving, paradox, twin |
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#11
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"wugi" wrote in message . .. | "Nicolaas Vroom" : | Question: | Is it possible to explain the Twin Experiment from the moving point of | view | ? | | IMO this is not possible. | | When the two Observers meet they realize that there clocks are not the | same. | To be more specific: The clock of the moving observer runs behind. | The clock of the moving observer runs slow. | | To explain the Observer at rest will say: | Look on my clock I read 10000 counts. | Based on the speed v (Lorentz Transformation) gamma is 0.5 | That means your clock should read 5000 counts. | Which is what we measure. qed. | | The question is: Is it possible to explain this also from the | point of view of moving observer ? | | IMO this it not possible. | The moving Observer has to accept what the Observer at rest tells him. | | http://home.scarlet.be/~pin12499/MyS...yTravtwin2.TIF | | As you see, the moving twin "acknowledges" home twin's clock ticking (slowly | at that) only between A and D, and between E and C. Home twin's interval DE | is skipped during moving twin's turnback, and so, 'lost' in moving twin's | time count of his homestaying kin. | | More at | http://home.scarlet.be/~pin12499/paratwin.htm | | guido Your page is garbage, you idiot. http://www.androcles01.pwp.blueyonde...winParadox.htm Androcles |
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#12
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Sorcerer wrote: "Paul B. Andersen" wrote in message ... | Nicolaas Vroom wrote: | Question: | Is it possible to explain the Twin Experiment from the moving point of view | ? | | IMO this is not possible. | | When the two Observers meet they realize that there clocks are not the same. | To be more specific: The clock of the moving observer runs behind. | The clock of the moving observer runs slow. | | To explain the Observer at rest will say: | Look on my clock I read 10000 counts. | Based on the speed v (Lorentz Transformation) gamma is 0.5 | That means your clock should read 5000 counts. | Which is what we measure. qed. | | The question is: Is it possible to explain this also from the | point of view of moving observer ? | | IMO this it not possible. | The moving Observer has to accept what the Observer at rest tells him. | | For more details goto : http://users.telenet.be/nicvroom/dirk3.htm | | At that url there is also a sketch which explains this from the | moving point of view. | But that sketch is wrong so it seems. | | The url shows that before the point of return | both observers will observe the same. | The "trick" is that the moving observer does not stay | at rest in his original frame. | | Nicolaas Vroom. | | http://users.telenet.be/nicvroom/ | | | OK. | I will show a scenario where we see it from the travelling | twin's point of view. Points of view are not relevant, ****head. | | But first: | An observer accelerating at a will An observer at a will? Your frequent blunders are... Hilarious, yes? :-) Everybody but you can see that Mr. Andersen didn't blunder there. | measure the rate of | an instantly stationary clock at a distance d in the direction | of the acceleration to be: (1 + a*d/c^2) | (A clock higher up in the gravitational field runs fast.) No way, ****head. Clocks higher up in the gravitation field run at 1 second per second. GPS says you're an idiot. Paul Cardinale |
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#13
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Nicolaas Vroom wrote:
Question: Is it possible to explain the Twin Experiment from the moving point of view? Yes it is. For example, take gamma = 2 (v = 0.866), and let the traverler reverse course when he is 10 years old. Then, during each of the constant-speed legs, the traveler will conclude that the home twin ages 5 years. But the traveler also concludes that the home twin's age increases 30 years during the traveler's turnaround. So the traveler concludes that the home twin ages a total of 5 + 30 + 5 = 40 years during his entire trip. You can therefore plot the home twin's age (according to the traveler), versus the traveler's age. Starting from the origin, the curve is a straight line of slope 1/2, until the traveler's age reaches 10 (and the home twin's age is 5). The curve then jumps vertically from 5 to 35 years old, and then continues as a straight line of slope 1/2, ending at the endpoint (20, 40). For the standard twin paradox problem, the amount of the sudden increase in the home twin's age (according to the traveler), when the traveler changes speed, can be INFERRED simply from the fact that the home twin is 40, and the traveler is 20, when they are reunited (together with the fact that the traveler concludes that the home twin ages half as much as he does during the two constant-speed legs of the trip). But for more complicated scenarios, it is necessary to be able to DIRECTLY COMPUTE the amount of the sudden increase of the home twin's age when the traveler changes speed. In a previous posting, I explained how this can be done. Here is that posting: __________________________________________________ _____________ Years ago, I derived a simple equation that relates the current ages of the twins, ACCORDING TO EACH TWIN. Over the years, I have found it to be very useful. Originally, I inferred the equation while staring at a Minkowski diagram. Then later, I derived it formally from the Lorentz equations. To save writing, I write "the current age of a distant object" (where the "distant object" is the stay-at-home twin) as the "CADO". The CADO has a value for each age t of the traveling twin, written CADO(t). The traveler and the stay-at-home twin come to DIFFERENT conclusions about CADO(t), at any given age t of the traveler. Denote the traveler's conclusion as CADO_T(t), and the stay-at-home twin's conclusion as CADO_H(t). (And in both cases, remember that CADO(t) is the age of the home twin, and t is the age of the traveler). My simple equation says that CADO_T(t) = CADO_H(t) - L*v/(c*c), where L is their current distance apart, in lightyears, according to the home twin, and v is their current relative speed, in lightyears/year, according to the home twin. v is positive when the twins are moving apart. (Although the dependence is not shown explicitly in the above equation, the quantities L and v are to be considered functions of t, the age of the traveler). The factor (c*c) has value 1 for these units, and is needed only to make the dimensionality correct. The equation explicitly shows how the home twin's age will change abruptly (according to the traveler, not the home twin), whenever the relative speed changes abruptly. For example, suppose the home twin believes that she is 40 when the traveler is 20, immediately before he turns around. So CADO_H(20-) = 40. (Denote his age immediately before the turnaround as t = 20-, and immediately after the turnaround as t = 20+.) Suppose they are 30 ly apart (according to the home twin), and that their relative speed is +0.9 ly/y (i.e., 0.9c), when the traveler's age is 20-. Then the traveler will conclude that the home twin is CADO_T(20-) = 40 - 0.9*30 = 13 years old immediately before his turnaround. Immediately after his turnaround (assumed here to occur in zero time), their relative speed is -0.9 ly/y. The home twin concludes that their distance apart doesn't change during the turnaround: it's still 30 ly. And the home twin concludes that neither of them ages during the turnaround, so that CADO_H(20+) is still 40. But according to the traveler, CADO_T(20+) = 40 - (-0.9)*30 = 67 years old, so he concludes that his twin ages 54 years during his instantaneous turnaround. In the usual traveling twin scenario, the sudden change in speed is a negative change: i.e., the relative speed decreases (becomes more negative, or less positive), changing from +V to -V (with the convention that v is positive when the traveler is moving away from his twin). But note that, if the sudden speed change is positive, the CADO equation says that the traveler will then conclude that his twin suddenly gets YOUNGER, not older. Since the relative speed v can vary between -1 and +1 lightyear/year, an instantaneous speed change can be as large as -2 or +2 lightyears/year. So the CADO equation says that CADO_T can instantaneously increase or decrease by as much, in years, as twice the separation L, in lightyears. For example, if the twins are 30 lightyears apart, (according to the home twin), then the home twin's age (according to the traveling twin) can instantaneously change (positively or negatively) by as much as 60 years. The CADO equation works for arbitrary accelerations, not just the idealized instantaneous speed changes assumed above. When the separation is sufficiently great, even 1-g accelerations can produce rapid changes (positive and negative) in the current age of the home twin (according to the traveler). The home twin's maximum (in magnitude) rate of ageing is greater than the traveler's rate of ageing by a factor approximately numerically equal to their separation L, in lightyears. If the traveler is accelerating TOWARD the home twin, she will be getting older at that (maximum) rate. If the traveler is accelerating AWAY from her, she will be getting younger at that (maximum) rate. The home twin does not agree with the traveler's conclusions about their corresponding ages. She certainly doesn't perceive that the progression of her own life is in any way affected by the traveler's accelerations. But the differing conclusions are equally valid: neither twin is "more correct" than the other, and neither twin can adopt the other's conclusions without contradicting their own measurements. I've got an example with 1-g accelerations on my web page: http://home.comcast.net/~mlfasf The derivation of the CADO equation is given in my paper "Accelerated Observers in Special Relativity", PHYSICS ESSAYS, December 1999, p629. Mike Fontenot |
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#14
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"Paul Cardinale" wrote in message oups.com... | | Sorcerer wrote: | "Paul B. Andersen" wrote in message | ... | | Nicolaas Vroom wrote: | | Question: | | Is it possible to explain the Twin Experiment from the moving point of | view | | ? | | | | IMO this is not possible. | | | | When the two Observers meet they realize that there clocks are not the | same. | | To be more specific: The clock of the moving observer runs behind. | | The clock of the moving observer runs slow. | | | | To explain the Observer at rest will say: | | Look on my clock I read 10000 counts. | | Based on the speed v (Lorentz Transformation) gamma is 0.5 | | That means your clock should read 5000 counts. | | Which is what we measure. qed. | | | | The question is: Is it possible to explain this also from the | | point of view of moving observer ? | | | | IMO this it not possible. | | The moving Observer has to accept what the Observer at rest tells him. | | | | For more details goto : http://users.telenet.be/nicvroom/dirk3.htm | | | | At that url there is also a sketch which explains this from the | | moving point of view. | | But that sketch is wrong so it seems. | | | | The url shows that before the point of return | | both observers will observe the same. | | The "trick" is that the moving observer does not stay | | at rest in his original frame. | | | | Nicolaas Vroom. | | | | http://users.telenet.be/nicvroom/ | | | | | | OK. | | I will show a scenario where we see it from the travelling | | twin's point of view. | | | Points of view are not relevant, ****head. | | | | | | | But first: | | An observer accelerating at a will | | | | An observer at a will? | Your frequent blunders are... | Hilarious, yes? | | | :-) Everybody but you can see that Mr. Andersen didn't blunder there. "An observer accelerating at a will" sounds like a **** up to me. Anxious to get at his inheritance, I'd imagine. | | | | measure the rate of | | an instantly stationary clock at a distance d in the direction | | of the acceleration to be: (1 + a*d/c^2) | | (A clock higher up in the gravitational field runs fast.) | | No way, ****head. Clocks higher up in the gravitation field | run at 1 second per second. | | | GPS says you're an idiot. HAHAHA! You know **** all about GPS, you stupid arsehole. Androcles |
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#15
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"Mike Fontenot" wrote in message ... | Nicolaas Vroom wrote: | | Question: | Is it possible to explain the Twin Experiment from the moving point of view? | | | Yes it is. For example, take gamma = 2 (v = 0.866), Hey moron! There is no gamma except 1. http://www.androcles01.pwp.blueyonde...ket/Rocket.htm http://www.androcles01.pwp.blueyonde...mart/Smart.htm Androcles |
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#16
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Sorcerer wrote: [snip] "An observer accelerating at a will" sounds like a **** up to me. Yes, we know that's what it sounds like to you. But everybody else understands it. Paul Cardinale |
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#17
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On Thu, 14 Sep 2006 03:34:45 -0700, Sue... wrote:
Nicolaas Vroom wrote: Question: Is it possible to explain the Twin Experiment from the moving point of view ? No The reason you would consider one clock moving and the other stationary is a clue as to why. IMO this is not possible. When the two Observers meet they realize that there clocks are not the same. To be more specific: The clock of the moving observer runs behind. The clock of the moving observer runs slow. No... there is no mechanism in SR to alter the appearance of clocks except the length of the light path. When the twins are together. that length is zero. To explain the Observer at rest will say: Look on my clock I read 10000 counts. Based on the speed v (Lorentz Transformation) gamma is 0.5 That means your clock should read 5000 counts. Which is what we measure. qed. Correct. The motion of the clocks wrt the dielectric media is zero. The question is: Is it possible to explain this also from the point of view of moving observer ? Yes.... just so the motion is zero. For other values it doesn't work. IMO this it not possible. The moving Observer has to accept what the Observer at rest tells him. Not true If they watch Dr. Who via equal lengths of video cable, they need pay no attention to each other. For more details goto : http://users.telenet.be/nicvroom/dirk3.htm ROFL Putting the handle of a malicious subject line trasher is not a good way to get someone to click on a URL. At that url there is also a sketch which explains this from the moving point of view. But that sketch is wrong so it seems. I will take your word that it is wrong. Possibly viral too. The url shows that before the point of return both observers will observe the same. The "trick" is that the moving observer does not stay at rest in his original frame. Yes, the matter that interacts in a real-world light path has to be considered to avoid the paradox. Propagation in a dielectric medium http://farside.ph.utexas.edu/teachin...es/node98.html "Retarded potential" http://farside.ph.utexas.edu/teachin...es/node50.html ... Einstein's resolution using gravitational time dilation suffers from logical and physical flaws, and gives incorrect answers in a general setting. The counter examples imply the need to reconsider many issues related to the comparison of transported clocks. The failure of the accepted views and resolutions is traced to the fact that the special relativity principle formulated originally for physics in empty space is not valid in the matter-filled universe. C. S. Unnikrishnan Gravitation Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India http://www.iisc.ernet.in/currsci/dec252005/2009.pdf ----- Sue... Nicolaas Vroom. http://users.telenet.be/nicvroom/ So Ms Sue ... having read your witty comments, and the relevant WIKI pages, truth is the entire matter is of max flakiness. I didn't say "wrong" or unknown, or that at least 2-earthly--mutants don't comprehend it; just ... flakey like a piecrust with too much butter. This lurker speculates that current "opportunity costs" of getting the Twin Paradox correct are so high it's (almost ) better being in error (eg) plump for an aether. nss ******** |
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#18
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"Paul Cardinale" wrote in message ups.com... | | Sorcerer wrote: | | [snip] | | | "An observer accelerating at a will" sounds like a **** up to me. | | Yes, we know that's what it sounds like to you. But everybody else | understands it. | Then the Tusselad should explain it. Then there is the other small matter of his claim 100 ly in 173.2 years = 0.5c You ****wit parrots can't do simple arithmetic, can you? You ****ing idiot, everyone else understands 100/173.2 = 0.577c You can't even chew gum and cross the road at the same time without arguing the meaning of simultaneity! **** off, you pathetic imbecile troll. Androcles |
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#19
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noshellswill wrote: On Thu, 14 Sep 2006 03:34:45 -0700, Sue... wrote: Nicolaas Vroom wrote: Question: Is it possible to explain the Twin Experiment from the moving point of view ? No The reason you would consider one clock moving and the other stationary is a clue as to why. IMO this is not possible. When the two Observers meet they realize that there clocks are not the same. To be more specific: The clock of the moving observer runs behind. The clock of the moving observer runs slow. No... there is no mechanism in SR to alter the appearance of clocks except the length of the light path. When the twins are together. that length is zero. To explain the Observer at rest will say: Look on my clock I read 10000 counts. Based on the speed v (Lorentz Transformation) gamma is 0.5 That means your clock should read 5000 counts. Which is what we measure. qed. Correct. The motion of the clocks wrt the dielectric media is zero. The question is: Is it possible to explain this also from the point of view of moving observer ? Yes.... just so the motion is zero. For other values it doesn't work. IMO this it not possible. The moving Observer has to accept what the Observer at rest tells him. Not true If they watch Dr. Who via equal lengths of video cable, they need pay no attention to each other. For more details goto : http://users.telenet.be/nicvroom/dirk3.htm ROFL Putting the handle of a malicious subject line trasher is not a good way to get someone to click on a URL. At that url there is also a sketch which explains this from the moving point of view. But that sketch is wrong so it seems. I will take your word that it is wrong. Possibly viral too. The url shows that before the point of return both observers will observe the same. The "trick" is that the moving observer does not stay at rest in his original frame. Yes, the matter that interacts in a real-world light path has to be considered to avoid the paradox. Propagation in a dielectric medium http://farside.ph.utexas.edu/teachin...es/node98.html "Retarded potential" http://farside.ph.utexas.edu/teachin...es/node50.html ... Einstein's resolution using gravitational time dilation suffers from logical and physical flaws, and gives incorrect answers in a general setting. The counter examples imply the need to reconsider many issues related to the comparison of transported clocks. The failure of the accepted views and resolutions is traced to the fact that the special relativity principle formulated originally for physics in empty space is not valid in the matter-filled universe. C. S. Unnikrishnan Gravitation Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India http://www.iisc.ernet.in/currsci/dec252005/2009.pdf ----- Sue... Nicolaas Vroom. http://users.telenet.be/nicvroom/ So Ms Sue ... having read your witty comments, and the relevant WIKI pages, truth is the entire matter is of max flakiness. I didn't say "wrong" or unknown, or that at least 2-earthly--mutants don't comprehend it; just ... flakey like a piecrust with too much butter. This lurker speculates that current "opportunity costs" of getting the Twin Paradox correct are so high it's (almost ) better being in error (eg) plump for an aether. Call it what you will. We can't by royal decree proclaim we are going ignore matter that exists at a density of at least 1 atom per cubic centimeter and still claim we have some repressentation of a world where that is in fact the case. http://www-ssg.sr.unh.edu/ism/what1.html http://physics.nist.gov/cuu/Images/alphaeq.gif http://physics.nist.gov/cuu/Constants/alpha.html http://hyperphysics.phy-astr.gsu.edu...string.html#c2 --C. S. Unnikrishnan http://www.iisc.ernet.in/currsci/dec252005/2009.pdf Sue... nss ******** |
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#20
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Sorcerer wrote:
"Paul B. Andersen" wrote in message ... | OK. | I will show a scenario where we see it from the travelling | twin's point of view. Points of view are not relevant, ****head. Quite. Your point of view is irrelevant and of no interest to anybody. So shut up. Paul |
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