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| Tags: contraction, moving, observed, rod |
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#1
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Observed Moving Rod Contraction
When a rod travels away from the observer, the image of the end of the rod closest to him takes less time to reach him than the image of the front end of the rod. Consequently it will appear to be shorter than it really is. This shortening effect becomes more noticeable the faster the rod travels and the longer it is. The Observed distance (X) a moving body has traveled at time t is equal to: X = tvc / (v+c), as compared to the Actual distance traveled which is tv. Where t is the time at which the observation is made, v the velocity of the object away from the observer, and c is the speed of light. See my paper "Frames of Reference", formula [2], at my website at: http://www2.rideau.net/gaasbeek Similarly, if the Actual length of the rod is equal to (S) it follows that its Observed length (S') is equal to: S' = Sc / (v+c) That is to say, the Observed rod will appear shorter than it Actually is by a factor of: c / (v+c). Enjoy, Len. .................................................. ........ |
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#2
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Len Gaasenbeek wrote:
When a rod travels away from the observer, the image of the end of the rod closest to him takes less time to reach him than the image of the front end of the rod. Consequently it will appear to be shorter than it really is. Sure. This is utterly unrelated to the "length contraction" of SR. For instance, why didn't you mention the "length expansion" of a rod moving toward you? Tom Roberts |
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#3
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To Robert,
I fail to see how my Observed length contraction is "utterly unrelated" to the Observed length contraction as advocated by Special Relativity, especially since my explanation makes sense whereas SR's doesn't. However you are correct in assuming that the Observed slow down of the parameters of a moving body will appear to speed up when it is traveling towards, instead of away from, the observer, since the factor c / (v+c) remains the same for the Observed: - distance traveled, - velocity, - Doppler frequency and - aging rate of the body. Since on the way back the velocity of the body is now minus (-) v, the Observed conversion factor becomes c / (c - v), which is greater instead of less than one. In other words on the way back, the distance traveled, the velocity, the Doppler frequency and the aging rate of the body are now Observed to be GREATER than they Actually are. As a result the Observed parameters of the moving body are once more back in synch. with the observer's Actual ('real time') parameters when the body arrives home, since they have returned to the 'stationary' reference frame of the observer. That is to say, Observed reality and Actual reality coincide once more and 'The Twins' are the same Actual age again. Len. .................................................. .................. "Tom Roberts" wrote in message . .. Len Gaasenbeek wrote: When a rod travels away from the observer, the image of the end of the rod closest to him takes less time to reach him than the image of the front end of the rod. Consequently it will appear to be shorter than it really is. Sure. This is utterly unrelated to the "length contraction" of SR. For instance, why didn't you mention the "length expansion" of a rod moving toward you? Tom Roberts |
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#4
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Len Gaasenbeek wrote:
I fail to see how my Observed length contraction is "utterly unrelated" to the Observed length contraction as advocated by Special Relativity, Yes. Because you use a PUN on "observed", and fail to make the important distinction between "measured wrt coordinates as in SR" and "observed via propagating light rays". In SR, and indeed in any sensible use of the words, to properly measure the length of a moving rod one must arrange to mark both ends of the rod SIMULTANEOUSLY in one's own frame, and then measure the distance between those marks. If both ends are not marked SIMULTANEOUSLY, then it's clear that the moving rod will have moved between the measurements of its two endpoints, and the result cannot at all be claimed to be the length of the moving rod measured in this frame. That is what you do, because you use light propagating from the endpoints to a fixed observer's eyeball. My kids understood in Kindergarten that to measure the length of something one must not move the ruler between noting the values for its endpoints. Why can't you understand this? especially since my explanation makes sense whereas SR's doesn't. No, your "explanation" involves a horrible PUN, and does not correspond to the usual notion of "length of the moving rod" at all. Tom Roberts |
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#5
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To Tom,
When one observes a distant moving body, the best one can do is take measurements of its photographic image and/or analyse its radiation or movement. This is what I am proposing and what constitutes good physics. To measure something 'in regard its coordinates as in special relativity' is so much double talk. Nor 'can one arrange to mark both ends of the rod simultaneously in one's own frame and then measure the distance between those marks'. This not only is equally silly, but can't be done. No observer can study an object more effectively than when he uses cognitive means which travel at the speed of light towards him. That is why astronomers use telescopes to study the cosmos. Consequently the best they can do is study Observed Reality, even if it is thousands of light years away and presents them with a picture of what things used to look like thousands of years ago, BECAUSE NO ONE CAN DO BETTER THAN THAT! All the rest of what you are suggesting is just pie in the sky! I don't like to say this, but you are a typical example of a cult member who tries to convert his critics by preaching his religious jargon. This of course has nothing to do with scientific debate. "If you want to find out anything from the theoretical physicists about the methods they use, I advise you to stick closely to one principle: Don't listen to their words, fix your attention on their deeds." Albert Einstein, The World As I See It. Len. .................................................. ...... "Tom Roberts" wrote in message . .. Len Gaasenbeek wrote: I fail to see how my Observed length contraction is "utterly unrelated" to the Observed length contraction as advocated by Special Relativity, Yes. Because you use a PUN on "observed", and fail to make the important distinction between "measured wrt coordinates as in SR" and "observed via propagating light rays". In SR, and indeed in any sensible use of the words, to properly measure the length of a moving rod one must arrange to mark both ends of the rod SIMULTANEOUSLY in one's own frame, and then measure the distance between those marks. If both ends are not marked SIMULTANEOUSLY, then it's clear that the moving rod will have moved between the measurements of its two endpoints, and the result cannot at all be claimed to be the length of the moving rod measured in this frame. That is what you do, because you use light propagating from the endpoints to a fixed observer's eyeball. My kids understood in Kindergarten that to measure the length of something one must not move the ruler between noting the values for its endpoints. Why can't you understand this? especially since my explanation makes sense whereas SR's doesn't. No, your "explanation" involves a horrible PUN, and does not correspond to the usual notion of "length of the moving rod" at all. Tom Roberts |
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#6
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"Len Gaasenbeek" wrote in message ... To Tom, When one observes a distant moving body, the best one can do is take measurements of its photographic image and/or analyse its radiation or movement. This is what I am proposing and what constitutes good physics. To measure something 'in regard its coordinates as in special relativity' is so much double talk. Nor 'can one arrange to mark both ends of the rod simultaneously in one's own frame and then measure the distance between those marks'. This not only is equally silly, but can't be done. No observer can study an object more effectively than when he uses cognitive means which travel at the speed of light towards him. That is why astronomers use telescopes to study the cosmos. Consequently the best they can do is study Observed Reality, even if it is thousands of light years away and presents them with a picture of what things used to look like thousands of years ago, BECAUSE NO ONE CAN DO BETTER THAN THAT! All the rest of what you are suggesting is just pie in the sky! I don't like to say this, but you are a typical example of a cult member who tries to convert his critics by preaching his religious jargon. This of course has nothing to do with scientific debate. "If you want to find out anything from the theoretical physicists about the methods they use, I advise you to stick closely to one principle: Don't listen to their words, fix your attention on their deeds." Albert Einstein, The World As I See It. Len. Have a series of laser beams spaced half a centimeter apart, shining perpendicular to the direction of the motion of the rod, with electronic eyes on the other side, attached to separate clocks. Record time readouts and readouts of the eyes. Find the maximum distance between breaks in the laser beam at any one particular time. Round to the nearest centimeter. The calculations used to derive SR assume perfect measurement of actual length, regardless of how a real experimenter would have to measure things. Also, true length could simply be calculated from the length measured in a photographic image. SR always assumes compensation where necessarry, such as in calculations for simultaneity (where the observer compensates for the speed of light in determining when events took place). You have to understand that for your described effects to be the length contractions of SR, the effect you've described would have to be factored into the derivation, which it isn't. And since your described effect can also lead to length expansion, and actually leads to an observed *rotation* as well, that should give you a clue that it is unrelated to length contractions. The phenomenon you have described is well documented in physics texts, as a separate phenomenon from SR. The formula for length contraction in SR, BTW, is l*sqr(1-v^2/c^2), so the two things can't be the same anyway. It is also ridiculous to assume that the actual length of a moving rod cannot, even in principle, be discovered. |
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