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| Tags: bodies, frames, interstitial, reference |
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#21
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On Sun, 31 Dec 2006 19:51:54 -0000, "George Dishman"
wrote: "Jeff Root" wrote in message roups.com... George Dishman replied to Lester Zick: measureable parameter I don't grok the use of the term "parameter". I use the term "quantity". Length, area, volume, time, speed, mass, momentum, electric charge, electric current, thermodynamic temperature, and light intensity are examples of measurable quantities. On the other hand, "quantity" is also a synonym for "amount", as in "the quantity of sand", "the quantity of light", and so forth, which is a different meaning, and likely to cause confusion. To me, the term "parameter" indicates an engineering specification rather than a measureable quantity-- even though it *IS* a measureable quantity. Hmph! What do you think? The term to means has connotations of being an independent variable, or an argument to a routine in software, but it was what sprang to mind. "Quantity" to me is more to do with a measure representing an assay, length of string, area, volume and mass are good examples but the others I would generally term just as "measurables" but really quantity is just as good. Can you explain to me why you think a contradiction appears when this same rezoning is applied to lengths instead of angles? At another level, SR was published by Einstein over a century ago and has been studied by thousands of people over Avery conceivable situation. Using a spelling checker, I see. :-( The serious point is a request for you to clarify what you mean by "overlap". It can't mean two solid objects occupying the same space at the same time while in relative motion. I think that one use Lester makes of his term "interstitial bodies" is the atoms and molecules within a body. Each particle has its own instantaneous velocity, different from the velocities of the other particles within the body, and Lester cannot see how each one of those particles can have a "contraction factor" different from the body as a whole. I won't speculate here on what he means. Instead, look at the various definitions thrown up by a Google search: http://www.google.co.uk/search?q=define%3A+interstitial Interstitial means lying in the interstices such as carbon grains in the interstices between the steel grains in cast iron, or fluid in the gaps between cells in muscle. The particles comprising a body are not interstitial but what I want is for Lester to actually explain what he means rather than us guessing. And I certainly don't mind but I can't really understand why you insist the particles comprising a body are not interstitial. Every body in the universe is interstitial to some other unless you're trying to say bodies in the sense of experimental platforms are somehow spatially preemptive. As I've already mentioned several times MM could have been conducted between the earth and moon and another body such as a satellite at right angles and a second MM could have also been conducted on some satellite in between, and the second experimental platform would be interstitial with respect to the first. As far as velocity dependent frames of reference are concerned every group of particles traveling at a common underlying velocity within any body constitutes a different interstitial body. And that includes both molecular and atomic subgroups of experimental platforms as well as macroscopic groupings such as the earth-moon or satellites. I am still looking for you to tell me where this supposed contradiction appears. The apparent contradiction is obvious, even if Lester prefers to describe it in somewhat convoluted terms. So you say but I don't think so. It is obvious that, for a single body, you get different factors for different observers moving at different speeds because, as Lester said himself, the effects are velocity dependent. Sure. The problem is that the contraction factors are for the body not the observers. He seems to have some reasoning that says this explanation doesn't work when more than one body is involved _and_ we talk about spaces inside bodies _and_ the bodies are overlapping. Why those extra conditions are necessary is a mystery to me. Well it really shouldn't be. Bodies traveling at different velocities have different contraction factors associated with their respective frames of reference wherever they're located. You seem to associate contraction effects with observers rather than with the bodies. But contraction is supposed to affect the bodies undergoing translation through space at constant velocity independent of observation since that's supposed to be how Lorentz's anisotropic transforms for the speed of light relative to an experimental platform become isotropic. When bodies traveling at different velocities are interstitial there is an implicit contradiction between their respective contractions. The extra conditions are only needed to show the contradiction involved in necessary terms since overlapping regions of space cannot be contracted by different amounts and still account for the null results of different MM experiments carried out together in both overlapping frames. I think that instead of your current line of attack, you should acknowledge that the apparent contradiction is obvious, and then ask Lester to show that it is real and not merely apparent. No, I just want him to state why he thinks there is a contradiction in such a way that it makes clear why all these extra provisos are necessary. I'm not going to make his case for him, there is no contradiction in anything he has presented so far so it is his task to try to justify his claim. I don't think he can and he uses rhetorical questions to cover it up in the hope that is readers will fill it in for him. Well, George, that's just absurd. I don't and rarely have needed my readers to fill in anything. Certainly Jeff and Gurcharn get it even if you don't. I'm somewhat curious why he thinks his statement of the apparent contradiction is more clear-cut than mine. I am sure he is saying that your version doesn't show the contradiction but his does. I don't know what Jeff's version shows because it isn't my version. My version says nothing about observers and measurement. It simply states a case involving different interstitial bodies and coincident frames of reference where spatial contraction is required to explain the isotropic experimental results for MM produced despite Lorentz's anisotropic transforms for the speed of light in various directions relative to an experimental platform undergoing translation through space at constant velocity. My case is definitive and Jeff's isn't although I suspect Jeff's might be made more nearly definitive by using only one observer instead of two. But that's an unrelated issue where contraction of the space between and among interstitial bodies in different frames of reference is considered. His version is that SR says multiple bodies in the same place, moving relative to one another, simultaneously have different "contraction factors". No, his version has the space between bodies being contracted and remember he first said each observer only observed his _own_ MMX. And remember I first said nothing of the kind having anything to do with observers. My case first stated spatial contraction as determined according to different frames of reference for interstitial bodies. The contraction was of both space and bodies. Your reference to my comment regarding observers was only made in response to your own insistence on having some kind of observer measuring something to show that observers and measurements were irrelevant to the problem posed. My version is that SR says a body simultaneously has different "contraction factors" for different observers in different states of motion relative to the body. The two statements are equivalent, but I think mine is more shockingly obvious in its apparent contradiction. Yours is the classic statement but Lester seems to think he has a new problem that goes beyond the standard resolution of your statement. Only because Lester does. The apparent contradiction that Lester is complaining about is probably the single most common hangup when just starting to learn about relativity. I would not be surprised to learn that the majority of people are confounded by it for at least a short time. Perhaps, but let's not invent our own problems, Lester needs to make a clear statement of the problem. Maybe it is just what you have said but maybe he has some other problem in mind. You know I find it rather curious, George, that you insist on talking as if I've said nothing at all in any of these posts and severly mis construing everything I have said in absurdly bizarre ways which completely misrepresent what I've said repeatedly. The fact is that Jeff understands the problem even if he insists on casting it in terms of observation and measurement. At least he gets it. Gurcharn gets it. You don't get it. To me that says much more about your own reading comprehension than anything else. ~v~~ |
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#22
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George Dishman replied to Jeff Root: George Dishman replied to Lester Zick: The serious point is a request for you to clarify what you mean by "overlap". It can't mean two solid objects occupying the same space at the same time while in relative motion. I think that one use Lester makes of his term "interstitial bodies" is the atoms and molecules within a body. Each particle has its own instantaneous velocity, different from the velocities of the other particles within the body, and Lester cannot see how each one of those particles can have a "contraction factor" different from the body as a whole. I won't speculate here on what he means. Instead, look at the various definitions... Lester has made clear enough what he means by the term "interstitial bodies". His application of it to atoms and molecules is just one particular but representative way that things can overlap. Lester believes that SR implies that multiple "contraction factors" can apply to a single volume of space, and that such a situation is patently impossible. Which shows that he believes "contraction factors" are location-dependant. Although he claims that he doesn't! The particles comprising a body are not interstitial Every thing is in gaps between other things. All bodies are "interstitial bodies". I am still looking for you to tell me where this supposed contradiction appears. The apparent contradiction is obvious, even if Lester prefers to describe it in somewhat convoluted terms. So you say but I don't think so. It is obvious that, for a single body, you get different factors for different observers moving at different speeds because, as Lester said himself, the effects are velocity dependent. He seems to have some reasoning that says this explanation doesn't work when more than one body is involved _and_ we talk about spaces inside bodies _and_ the bodies are overlapping. Why those extra conditions are necessary is a mystery to me. His belief that there is a contradiction is independant of his reasoning. His belief is based purely on what is immediately obvious. It is obvious to him that one thing cannot be contracted by two different amounts simultaneously, so he believes that to be a contradiction. He constructed the description involving overlapping MMXs or overlapping reference frames or "interstitial bodies" to explain to others what is immediately obvious to him. He has no need for the description to make any sense because he knows that there is a contradiction whether or not the description makes sense. It is obvious to us that we get different factors for different observers. It is equally obvious to me what it is that Lester considers to be a contradiction. He sees different factors applying simultaneously to bodies in a single volume of space, and to him that is obvious nonsense. An obvious contradiction. He has no need to explain why. It is simply obvious to him. I think that instead of your current line of attack, you should acknowledge that the apparent contradiction is obvious, and then ask Lester to show that it is real and not merely apparent. No, I just want him to state why he thinks there is a contradiction in such a way that it makes clear why all these extra provisos are necessary. I think you can ask him to do that even after acknowledging that the apparent contradiction is obvious. I'm not going to make his case for him, there is no contradiction in anything he has presented so far so it is his task to try to justify his claim. I don't think he can and he uses rhetorical questions to cover it up in the hope that is readers will fill it in for him. Yes, I agree completely. After you first commented that Lester uses rhetorical questions to make his points, and before Lester responded to that comment, I wrote (but never posted) a reply which agreed that that is indeed what he does, and complimented you on your perceptive and accurate characterization of his technique. From his response, it appears that he did not understand what you meant by "rhetorical questions". Or he may have understood but only pretended not to. My main point is just that the apparent contradiction is not at all mysterious, and in fact is very obvious. So obvious that he can't explain it in simpler terms. I'm somewhat curious why he thinks his statement of the apparent contradiction is more clear-cut than mine. I am sure he is saying that your version doesn't show the contradiction but his does. It could be interesting to see how he explains that. His version is that SR says multiple bodies in the same place, moving relative to one another, simultaneously have different "contraction factors". No, his version has the space between bodies being contracted and remember he first said each observer only observed his _own_ MMX. Everything is contracted. The bodies, the spaces between the bodies, the frames defined by the bodies. Each observer only observes his own MMX, but Lester is imagining what each of them observes, so he is unwittingly the one observing across reference frames when he compares different "contraction factors". I don't think there is any conflict between your and my descriptions of Lester's version. My version is that SR says a body simultaneously has different "contraction factors" for different observers in different states of motion relative to the body. The two statements are equivalent, but I think mine is more shockingly obvious in its apparent contradiction. Yours is the classic statement but Lester seems to think he has a new problem that goes beyond the standard resolution of your statement. What Lester thinks is new is actually so trivial that there isn't anything to analyze. He thinks that multiple overlapping reference frames is a new idea that nobody ever considered before, when it is really the fundamental basis of all relativity, even Galilean relativity. The apparent contradiction that Lester is complaining about is probably the single most common hangup when just starting to learn about relativity. I would not be surprised to learn that the majority of people are confounded by it for at least a short time. Perhaps, but let's not invent our own problems, Lester needs to make a clear statement of the problem. Maybe it is just what you have said but maybe he has some other problem in mind. He has stated it clearly enough for me to identify with certainty what problem he has in mind, but I agree that he needs to state it more clearly than he has. For me to merely identify what he is talking about is not adequate. He needs to state it explicitly. -- Jeff, in Minneapolis |
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#23
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Lester Zick replied to Jeff Root: Jeff Root replied to George Dishman: George Dishman replied to Lester Zick: My point here is that you are trying to force your own view into the conversation as a given That is exactly what I wanted to say in my last post, but couldn't articulate, so I gave up and deleted my attempts. You said more than I was attempting to say, with 1/3 the number of words. But the problem is who is trying to force what view on whom. I haven't gotten to George's reply as yet but I'm simply posing a problem as far as contraction is concerned. I don't see anyone imposing anything on anyone. If SR answers the objection I'd simply like to know how. An example of you forcing your view as a given is when you say below: Uniform contraction can't apply to both because the frames of reference overlap... You assert that as if it were obvious, not requiring explanation. I understand why you think so, but my understanding is not enough. You need to say explicitly why uniform contraction can't apply to overlapping MMXs in overlapping reference frames. Neither George nor I can say it for you. The serious point is a request for you to clarify what you mean by "overlap". It can't mean two solid objects occupying the same space at the same time while in relative motion. I think that one use Lester makes of his term "interstitial bodies" is the atoms and molecules within a body. Each particle has its own instantaneous velocity, different from the velocities of the other particles within the body, and Lester cannot see how each one of those particles can have a "contraction factor" different from the body as a whole. I agree. However exactly the same objection applies even if macroscopic interstitial bodies are considered. Certainly. Previously I've mentioned MM conducted between the earth and moon and some other body at right angles. Same principle applies if we consider another MM conducted on a satellite between the earth and moon. Uniform contraction can't apply to both because the frames of reference overlap whether microscopic or macroscopic bodies are considered. I understand why you see a problem. I see no problem. To resolve this contradiction between your view and mine, explain precisely what the problem is that you see. I am still looking for you to tell me where this supposed contradiction appears. The apparent contradiction is obvious, Well thank goodness someone besides Gurcharn gets it. But you still need to explain why you see a contradiction in the situation you describe above. Although I understand what you mean, it is up to you to state it explicitly. You haven't done that yet. even if Lester prefers to describe it in somewhat convoluted terms. I think the more accurate description would be "general" than "convoluted". I'm trying to point out certain implications of velocity dependent frames of reference when it comes to contraction hypotheses. Neither George nor I understand why you think your scenario is different from, more definitive, or more general than mine. But I have no objection to your scenario other than that it involves unnecessary conditions, and you haven't explained why you think those conditions are essential. I think that instead of your current line of attack, you should acknowledge that the apparent contradiction is obvious, and then ask Lester to show that it is real and not merely apparent. Well, Jeff, the definition of bodies and frames of reference in corporeal and geometric terms is purely velocity dependent. Appearances have nothing to do with how they're defined or whether or how they can contract if they do. I can't make any useful reply to this at present. I'm somewhat curious why he thinks his statement of the apparent contradiction is more clear-cut than mine. His version is that SR says multiple bodies in the same place, moving relative to one another, simultaneously have different "contraction factors". My version is that SR says a body simultaneously has different "contraction factors" for different observers in different states of motion relative to the body. Why bring "observers" into the problem at all? Because without observers there are no observations, and without observations there are no facts to discuss. Either frames of reference are defined according to a common velocity or they aren't. I agree that frames of reference are defined according to a common velocity. If they are[,] either different contraction factors apply to each[,] or they don't. I agree that different "contraction factors" apply to each: The "contraction factor" depends on the relative velocity between the observer and the observed. And if different contraction factors apply to overlapping bodies I agree that different "contraction factors" apply to "overlapping bodies" whenever and wherever they are observed from reference frames moving relative to the bodies. either they contradict one another or they don't. What do you mean by "contradict one another"? I don't see there is any "appearance" or apparent contraction involved. You have said something about such a contraction being required to explain the results of the MMX. I agree. There is an apparent contraction involved. The contradiction doesn't apply to any hypothetical observers but to a body in relative motion. What contradiction? It is possible that in the above two quoted sentences you meant "contradiction" when you said "contraction", and "contraction" when you said "contradiction". To cover that possibility, I'll give alternative replies: I don't see there is any "appearance" or apparent [contradiction] involved. If it appears to you that there is a contradiction, then there is an apparent contradiction. If it does not appear to you that there is a contradiction, then there is no apparent contradiction. The [contraction] doesn't apply to any hypothetical observers but to a body in relative motion. A "contraction factor" applies to anything moving relative to an observer. If you and I are moving relative to each other, then a "contraction factor" quantifies the difference between my own measures of myself and your measures of me, and the difference between your measures of yourself and my measures of you. The "contraction factor" only ever applies between an observer and an observed. I will see you as being contracted, and you will see me as being contracted. George, moving relative to both of us, will see each of us contracted by different amounts. I will see George contracted by an amount different from the amount you see him contracted. George will see me contracted by an amount different from the amount you see me contracted. Whether observers observe anything is irrelevant to whether there is a contradiction between contractions. What do you mean by "a contradiction between contractions"? The two statements are equivalent, but I think mine is more shockingly obvious in its apparent contradiction. Actually the two statements are not quite equivalent, Jeff. If you insist on observation consider the identical case where only one observer is involved for MM in both interstitial bodies. Okay, what about that case? Your peculiar terminology ("both interstitial bodies") makes it hard to be sure what you mean, so you will have to spell it out. The apparent contradiction that Lester is complaining about is probably the single most common hangup when just starting to learn about relativity. I would not be surprised to learn that the majority of people are confounded by it for at least a short time. But the real problem here is that they can't put the problem into words. I don't believe that. A lot of people recognize the problem but can't quite put their fingers on the contradiction involved. As far as I know I'm the first to put the issue in definitive terms: that both coporeal and geometric contraction operates across spatial definitions which are velocity dependent. That reads like word salad. What is "corporeal contraction"? What is "geometric contraction"? What are "spatial definitions"? What does "across spatial definitions" mean? What does it mean for a "spatial definition" to be velocity dependant? At least despite considerable research I've never read of anyone else who managed to describe the problem in definitive terms. You have not actually described the "problem" yet, yourself. Everyone talks about observers and measurements but the really curious thing is that despite all the talk no one observes or measures anything. I think you will agree that you used hyperbole there. Many people do observe and measure many things on many different occasions, but an observation or measurement can be recorded for future use by others, and does not need to be constantly repeated. Also, what you are doing is conducting thought experiments, where you imagine what happens in various scenarios. If there are no imagined observations or measurements in the thought experiment, then there are no results and nothing to analyze. They all talk about Who, specifically, are "they"? Name names. this and that resolution of the paradox What paradox? but no one actually shows how contradictory contractions are supposed to occur. You're the one who will have to do that. You're the one claiming that contradictory contractions are supposed to occur. You have to remember that these contradictory contraction factors are not just nominal. They're supposed to reflect the speed of light as it transits the space contracted this way or that. What do you mean by "reflect the speed of light"? The Lorentz transforms which describe the speed of light in various directions relative to an underlying platform at constant velocity are anisotropic and apply across space independent of the platform. Einstein's speed of light results across space are isotropic. The Lorentz transforms don't describe the speed of light, though of course they include the speed of light as a constant. Your expression "underlying platform" appears to be a synonym for "observer". I'm guessing that you don't mean it as a synonym for "aether". And what we're looking for in that context is some explanation as to how that is possible. It isn't that observers can measure this or that according to these or those rods or cones. It's that light has to transit space independent of any platform and do so at different velocity to make Lorentz transforms isotropic. SR explains it to the limit of measurement error in situations where gravity is not a significant factor. Having said which however I have to mention you at least seem to get it. I think Gurcharn also gets it. However I'm not sure George does. In any event I appreciate the contribution and look forward to further discussion. Read the story "Forgetfulness", by John W. Campbell, Jr., originally published in the June 1937 issue of 'Astounding' under the pen name 'Don A. Stuart', for my view of George's level of understanding of the apparent contradiction. :-) I found the story in the 1989 anthology 'The World Treasury of Science Fiction', edited by David G. Hartwell. You may be able to find it elsewhere. It is a "must read". -- Jeff, in Minneapolis |
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George Dishman replied to Lester Zick: As far as I'm concerned contraction has to be a real physical-spatial effect ... And that is where I disagree. I previously asked Jeff this following question and I'd like both you and him to give me your views so we can compare attitudes. Is the ship "really" shorter? Does the silhouette "really" subtend a smaller angle? The aim is to find out what we all mean by the concept of "real". I want to say first that I don't think very highly of most philosophical questioning about "reality". I wasn't particularly impressed by the movie "The Matrix", I don't wonder if I was just created a minute ago with a mass of false memories planted in my mind, I don't wonder whether a photon is "really" a particle or a wave, and I most certainly don't think that all opinions are equally valid. Nevertheless, distinguishing reality from non-reality is clearly one of the major labors of mankind, and something I can't avoid having to do. Plus, we have the question of what "physical" means, which is probably just as difficult. I don't know yet whether I can answer the question, but I think it will be easier for me than for Lester, because I can use analogies, which he shuns. The shortening is not something that happens to the ship or to the observer. The shortening is a change in the relationship between the ship and the observer. The relationship is certainly real, in my view, and the change in the relationship is equally real. It is like me walking around to the south side of my desk. Is the desk then "really" north of me? Yes, it is. As the ship speeds up relative to me, it really contracts relative to me. And I know that I contract relative to the ship. But the ship doesn't change, and I don't change. It is only the relationship which changes. I'm not sure I can or need to go any farther than that. Lester wrote: Jeff seems to think it's only apparent or nominal and is to be explained by observers and measurement. That is not at all what I think. I have used the expression "apparent contradiction" many times in the past few weeks. I do not recall ever saying or implying that the contraction effects of relative motion are only apparent or only nominal. Possibly I have said such a thing at some time, but not recently, and I don't recall ever saying it. When I say that there is an apparent contradiction, I mean that Lester sees a contradiction. The contradiction is apparent to him. I understand the apparent contradiction he sees, and I know that there is no real contradiction. I have never said or implied that the contraction effects are "to be explained by observers and measurement." The effects are observed and measured by observers. Observing and measuring are not acts of explication. They do not explain anything. The observations and measurements are what need to be explained. -- Jeff, in Minneapolis |
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#25
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"Jeff Root" wrote in message oups.com... George Dishman replied to Lester Zick: ... .. I previously asked Jeff this following question and I'd like both you and him to give me your views so we can compare attitudes. Is the ship "really" shorter? Does the silhouette "really" subtend a smaller angle? The aim is to find out what we all mean by the concept of "real". I want to say first that I don't think very highly of most philosophical questioning about "reality". I wasn't particularly impressed by the movie "The Matrix", I don't wonder if I was just created a minute ago with a mass of false memories planted in my mind, I don't wonder whether a photon is "really" a particle or a wave, and I most certainly don't think that all opinions are equally valid. Understood, but my question isn't about the philosophical nature of reality, rather I am trying to set some baseline mutual understanding of terms. My answer would be simply a) The ship is not really shorter, it is the same length but has changed its orientation to point from which it is being observed. b) The reduction of subtended angle is real. The angle between two threads stretched from bow and stern to the observing point can be measured with a protractor and will be less than when the ship lies at 90 degrees to the line of sight. Nevertheless, distinguishing reality from non-reality is clearly one of the major labors of mankind, and something I can't avoid having to do. Plus, we have the question of what "physical" means, which is probably just as difficult. I don't know yet whether I can answer the question, but I think it will be easier for me than for Lester, because I can use analogies, which he shuns. The shortening is not something that happens to the ship or to the observer. The shortening is a change in the relationship between the ship and the observer. The relationship is certainly real, in my view, and the change in the relationship is equally real. It is like me walking around to the south side of my desk. Is the desk then "really" north of me? Yes, it is. As the ship speeds up relative to me, it really contracts relative to me. And I know that I contract relative to the ship. But the ship doesn't change, and I don't change. It is only the relationship which changes. I'm not sure I can or need to go any farther than that. That sounds as though you are saying the same as I, at least I will take it that way unless you object. Now for Lester's answer: "Lester Zick" wrote in message ... On 31 Dec 2006 17:52:33 -0800, "George Dishman" wrote: ... .. I previously asked Jeff this following question and I'd like both you and him to give me your views so we can compare attitudes. Is the ship "really" shorter? Does the silhouette "really" subtend a smaller angle? The aim is to find out what we all mean by the concept of "real". Well that's not really all that difficult in the context of MM because we only have two variables: physical dimensions of the interferometer and the relative speed of light in various directions along those arms independent of the interferometer itself. Now I know that SR theorists see this as only a problem in apparent reality. But the experimental results themselves are not only apparent but real and they're what is to be explained in mechanical terms of the actual experiment. Neither Michelson nor Morley used rods and cones to measure anything. Measurements were implicit in the fringe shift and there were no fringe shifts of an experimentally significant magnitude. But it was the interferometer itself which was doing the measuring and not Michelson or Morley. In other words what there is to explain is not an apparent effect but a real effect or at least an effect independent of how observers would measure things in terms of visual effects and subtended angles etc. Sorry Lester, you don't seem to have said anything about the ship at anchor. Can you have another attempt please, these are the questions: ... The fun starts when you consider a ship swinging at anchor on the horizon where all you can see is a silhouette. When it lies at right angles to your vision, it "appears" longer than when it lies at 30 degrees, and multiplying the subtended angle by the distance to the horizon really does "measure" a shorter length, but is the ship "really" shorter ;-) a) Is the ship "really" shorter? b) Does the silhouette "really" subtend a smaller angle? As I said, the aim is to find out what we all mean by the concept of "real" _before_ we try to apply that word to the MMX. George |
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#26
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(original lost in the ISP, reposted with some minor
corrections). "Lester Zick" wrote in message ... On Sun, 31 Dec 2006 19:51:54 -0000, "George Dishman" wrote: ... http://www.google.co.uk/search?q=define%3A+interstitial Interstitial means lying in the interstices such as carbon grains in the interstices between the steel grains in cast iron, or fluid in the gaps between cells in muscle. The particles comprising a body are not interstitial but what I want is for Lester to actually explain what he means rather than us guessing. And I certainly don't mind but I can't really understand why you insist the particles comprising a body are not interstitial. Let me try to explain then. Look at the use of the word relating to muscles. There are water molecules inside every cell and the are others between the cells. The interstices are the gaps between the cells and the interstitial water molecules are those lying within those interstices. The word is used to differentiate between the water molecules lying in the gaps and those within the cells. Every body in the universe is interstitial to some other unless you're trying to say bodies in the sense of experimental platforms are somehow spatially preemptive. "preemptive" is also an odd choice of word but basically, yes, the purpose of the word interstitial is to allow us to distinguish whether we are talking about the particles that make up some class of bodies (cells, experiments or whatever) and similar particles lying between those bodies. The rods forming an MMX are not interstitial while identical rods lying in the gaps between MMXs and not forming part of those MMXs would be interstitial though it is easier to follow when the objects in question enclose a volume. As I've already mentioned several times MM could have been conducted between the earth and moon and another body such as a satellite at right angles .. OK, so you have fixed one rod between Earth and Moon and another from Earth to the satellite. The rods are fixed length so you have changed the Moon's orbit to be circular and you are holding them rigidly at 90 degrees. Tricky in practice but we can go with that for a thought experiment. and a second MM could have also been conducted on some satellite in between, Yep, no problem. and the second experimental platform would be interstitial with respect to the first. No, you have defined a class of bodies called "experimental platforms" and interstitial means in the space lying between the two "experimental platforms". As far as velocity dependent frames of reference are concerned every group of particles traveling at a common underlying velocity within any body constitutes a different interstitial body. No, you could say they constitute a subset of the body, or if they are distinguishable in some way as an object in their own right you might say they were an embedded body but interstitial would mean a group of particles _outside_ the body. And that includes both molecular and atomic subgroups of experimental platforms as well as macroscopic groupings such as the earth-moon or satellites. Sure, the dispute here is that interstitial means outside, not inside. I am still looking for you to tell me where this supposed contradiction appears. The apparent contradiction is obvious, even if Lester prefers to describe it in somewhat convoluted terms. So you say but I don't think so. It is obvious that, for a single body, you get different factors for different observers moving at different speeds because, as Lester said himself, the effects are velocity dependent. Sure. The problem is that the contraction factors are for the body not the observers. No, that is probably where the confusion lies. The length contraction factor is a ratio of two measurements which can be of the same body at the same time. He seems to have some reasoning that says this explanation doesn't work when more than one body is involved _and_ we talk about spaces inside bodies _and_ the bodies are overlapping. Why those extra conditions are necessary is a mystery to me. Well it really shouldn't be. Bodies traveling at different velocities have different contraction factors associated with their respective frames of reference wherever they're located. You seem to associate contraction effects with observers rather than with the bodies. But contraction is supposed to affect the bodies undergoing translation through space at constant velocity independent of observation since that's supposed to be how Lorentz's anisotropic transforms for the speed of light relative to an experimental platform become isotropic. That is Lorentz's approach though, and I am not discussing that. When bodies traveling at different velocities are interstitial there is an implicit contradiction between their respective contractions. The extra conditions are only needed to show the contradiction involved in necessary terms since overlapping regions of space cannot be contracted by different amounts and still account for the null results of different MM experiments carried out together in both overlapping frames. To get away from the dispute over the meaning of interstitial, let's simplify it by talking of just a single body. The length is measured by some instrument which we personify as "observer" A. Let's assume that instrument is at rest relative to the body and "he" measures length L repeatedly over some period of time (thus the length is not changing). A second identical instrument which I will call "observer" B moves past the same body and measures length L'. This occurs during the period when the length is being continuously monitored by A. The length contraction factor is the ratio L'/L. That is the ratio of two measurements of the same body at the same time by identical instruments. Now add a third identical observing instrument C also moving past the same body but at a different speed from B. The length measured by C is L" and the observed contraction ratio is L"/L. You now have two different contraction ratios, L'/L and L"/L applying to the same measured body. Do you consider there is any contradiction in that statement of the problem (which is the one I have used in the past) or do you think that is OK but the contradiction only appears when we start talking about two bodies instead of one? If so you will still need to explain why having the extra body is significant. I think that instead of your current line of attack, you should acknowledge that the apparent contradiction is obvious, and then ask Lester to show that it is real and not merely apparent. No, I just want him to state why he thinks there is a contradiction in such a way that it makes clear why all these extra provisos are necessary. I'm not going to make his case for him, there is no contradiction in anything he has presented so far so it is his task to try to justify his claim. I don't think he can and he uses rhetorical questions to cover it up in the hope that is readers will fill it in for him. Well, George, that's just absurd. I don't and rarely have needed my readers to fill in anything. Certainly Jeff and Gurcharn get it even if you don't. I freely admit I don't see why you need the two bodies rather than one to illustrate the supposed contradiction. I'm somewhat curious why he thinks his statement of the apparent contradiction is more clear-cut than mine. I am sure he is saying that your version doesn't show the contradiction but his does. I don't know what Jeff's version shows because it isn't my version. My version says nothing about observers and measurement. It simply states a case involving different interstitial bodies and coincident frames of reference where spatial contraction is required to explain the isotropic experimental results for MM produced despite Lorentz's anisotropic transforms for the speed of light in various directions relative to an experimental platform undergoing translation through space at constant velocity. However, your bodies aren't interstitial, frames cannot be coincident (or they are the same frame) and IMO, Lorentz was wrong anyway, the speed of light is isotropic. My case is definitive and Jeff's isn't although I suspect Jeff's might be made more nearly definitive by using only one observer instead of two. But that's an unrelated issue where contraction of the space between and among interstitial bodies in different frames of reference is considered. Not really, with only one observer there is no such thing as length contraction since the term denotes the ratio of lengths measured by two different observers. His version is that SR says multiple bodies in the same place, moving relative to one another, simultaneously have different "contraction factors". No, his version has the space between bodies being contracted and remember he first said each observer only observed his _own_ MMX. And remember I first said nothing of the kind having anything to do with observers. My case first stated spatial contraction as determined according to different frames of reference for interstitial bodies. The contraction was of both space and bodies. Your reference to my comment regarding observers was only made in response to your own insistence on having some kind of observer measuring something to show that observers and measurements were irrelevant to the problem posed. The term "observer" is a personification of an instrument whose motion defines a frame of reference for a measurement. My version is that SR says a body simultaneously has different "contraction factors" for different observers in different states of motion relative to the body. The two statements are equivalent, but I think mine is more shockingly obvious in its apparent contradiction. Yours is the classic statement but Lester seems to think he has a new problem that goes beyond the standard resolution of your statement. Only because Lester does. Well again I can only say you need to explain why you think the same contradiction isn't apparent with the classic version of a single body and two observing instruments. The apparent contradiction that Lester is complaining about is probably the single most common hangup when just starting to learn about relativity. I would not be surprised to learn that the majority of people are confounded by it for at least a short time. Perhaps, but let's not invent our own problems, Lester needs to make a clear statement of the problem. Maybe it is just what you have said but maybe he has some other problem in mind. You know I find it rather curious, George, that you insist on talking as if I've said nothing at all in any of these posts and severly mis construing everything I have said in absurdly bizarre ways which completely misrepresent what I've said repeatedly. The fact is that Jeff understands the problem even if he insists on casting it in terms of observation and measurement. At least he gets it. Gurcharn gets it. You don't get it. To me that says much more about your own reading comprehension than anything else. Actually I think I have always 'got it' but some of your early replies suggested that there wasn't a contradiction in the simpler version so I was looking for something more complex. Maybe your response to my own statement of the apparent problem above will shed some light on it. George |
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George, When I replied to your post this morning my answer to your questions was skewed because I didn't see the paragraph explaining the questions, and didn't know which ship you were referring to. (I had seen the paragraph last year, though-- one day earlier. :-) The fun starts when you consider a ship swinging at anchor on the horizon where all you can see is a silhouette. When it lies at right angles to your vision, it "appears" longer than when it lies at 30 degrees, and multiplying the subtended angle by the distance to the horizon really does "measure" a shorter length, but is the ship "really" shorter ;-) Oh, *that* ship. It may be a good thing that I misunderstood what ship you were asking about. It could help me answer the real questions. I think I disagree about this being a philosophical question. It *is* a philosophical question. a) Is the ship "really" shorter? My knee-jerk reaction is to ask "What do you mean by 'really'?" :-) b) Does the silhouette "really" subtend a smaller angle? The answer here appears to be easy and unambiguous. The silhouette of the ship really does subtend a smaller angle from my vantage point. I think everyone can agree on this one. Back to: a) Is the ship "really" shorter? It doesn't depend on what the meaning of 'is' is. My other knee-jerk reaction is to say "No, of course the ship isn't really shorter, you idiot! It's just turned at an angle to my line of sight!" However, I could as well say that for some purposes it really is shorter. If I'm trying to hit it with a dumb torpedo that is propelled in a straight line on the surface of the water, then as far as I'm concerned the ship really is changing length as it turns. But in saying that, I'm not distinguishing between angle and length. I know that angle and length are two entirely different... um... quantities... but in this case I seem to be able to use them interchangeably. My torpedo has limited accuracy. The ship has an angular width which varies as it turns. The wider the angle, the better the chance my torpedo will hit. At the distance of the ship, the ship needs to be 100 feet wide **perpendicular to my line of sight** for my torpedo to have a 50% chance of hitting it. I can convert between angle and width if I know the distance. I have no idea whether: a) I answered your question, b) The answer is useful, c) The answer is what you expected. -- Jeff, in Minneapolis |
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#28
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George, I disagree with your objections to Lester's use of the term "interstitial". I would say that his use of the term is inappropriate, unnecessary, and unhelpful, but it is not wrong. The term means "in the gap(s) between". What the gap or gaps is/are between is completely arbitrary. Lester's arbitrary use of the term here is no more arbitrary than any other use. I think you should accept what he uses it for and go on from there. What he uses "interstitial" for is clearly to point out the co-location of multiple differently-moving reference frames, and whatever defines those frames. the dispute here is that interstitial means outside, not inside. This I disagree with. "Interstitial" means "in the gap(s) between", which would be outside some things and inside other things. I can imagine little MMXs inside a big MMX, so that they are simultaneously in the same location in space. That's all Lester means. It shouldn't be a problem. The problem is that the contraction factors are for the body not the observers. No, that is probably where the confusion lies. Ya think? The length contraction factor is a ratio of two measurements which can be of the same body at the same time. And they can be imaginary thought experiment measurements of multiple imaginary bodies by multiple imaginary observers, all being observed in imagination by a real thought experimenter sitting at his computer. This scenario is unnecessarily complicated, but it works. I was looking for something more complex. No way. He is stuck on the kindergarten cunundrum of one thing having two different values simultaneously. -- Jeff, in Minneapolis |
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#29
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On 2 Jan 2007 07:31:13 -0800, "Jeff Root" wrote:
George, I disagree with your objections to Lester's use of the term "interstitial". I would say that his use of the term is inappropriate, unnecessary, and unhelpful, but it is not wrong. Well, Jeff, my original objective was to find a definitive adjective to describe exactly what I had in mind. I think it fair to say that my use of "interstitial" is unusual and not customary. But I think it is accurate given the general context I'm trying to establish. Most people probably don't recognize that the definition of "bodies" is pretty much arbitrary for experimental purposes where the subject of the experiment, the relative velocity of light, traverses space mostly independent of the experimental platform. I don't think Michelson or Lorentz considered this nor do I think Einstein recognized it or that "bodies" in this sense were not spatially preemptive so as to preclude overlapping experimental platforms in different frames of reference. The term means "in the gap(s) between". What the gap or gaps is/are between is completely arbitrary. Lester's arbitrary use of the term here is no more arbitrary than any other use. I think you should accept what he uses it for and go on from there. What he uses "interstitial" for is clearly to point out the co-location of multiple differently-moving reference frames, and whatever defines those frames. Correct. the dispute here is that interstitial means outside, not inside. This I disagree with. "Interstitial" means "in the gap(s) between", which would be outside some things and inside other things. I can imagine little MMXs inside a big MMX, so that they are simultaneously in the same location in space. That's all Lester means. It shouldn't be a problem. True. And if I had to rely on a single adjective to describe the situation in definitive terms I would choose "interstitial" again. The problem is that the contraction factors are for the body not the observers. No, that is probably where the confusion lies. Ya think? Well the contraction factor applies to the frame of reference which includes spatial geometry and objects described by the geometry. I suspect that those who argue observers, measurements, rods, and cones, etc. imagine it only refers to observers etc. I don't say there is no observational effect but what I'm discussing is not any kind of experimental measurement of an observational effect but the actual contraction which is assumed present to account for the transition between anisotropic Lorentz transforms describing the velocity of light relative to an experimental platform undergoing translation through space at constant velocity and isotropic null results of MM. The length contraction factor is a ratio of two measurements which can be of the same body at the same time. And they can be imaginary thought experiment measurements of multiple imaginary bodies by multiple imaginary observers, all being observed in imagination by a real thought experimenter sitting at his computer. This scenario is unnecessarily complicated, but it works. Why is it unnecessarily complicated? I'm not sure I understand why anyone considers observers relevant and I think all the complication stems from the observers, measurements, techniques, etc. and not from the actual problem I posed which has to do with contraction and not measurement of contraction which is an entirely different problem. I'm not trying to measure contraction. I was looking for something more complex. No way. He is stuck on the kindergarten cunundrum of one thing having two different values simultaneously. Which may indeed be a kindergarten conundrum if the differences are supposed to apply to a common region of space together. And perhaps it's time we get beyond kindergarten physics to analyze the issue. ~v~~ |
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#30
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"Lester Zick" wrote in message ... | But the problem is who is trying to force what view on whom. I haven't | gotten to George's reply as yet but I'm simply posing a problem as far | as contraction is concerned. I don't see anyone imposing anything on | anyone. If SR answers the objection I'd simply like to know how. Like this: http://www.androcles01.pwp.blueyonde...ket/Rocket.htm http://www.androcles01.pwp.blueyonde...mart/Smart.htm |