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It was requested that I establish a new thread and defend the concept of no spatial contraction.
I have previously posted logical alternatives and have pointed out that there is (has been) no supporting emperical data in the 100 years of relativity for the concept of spatial length contraction. That LC is nothing more than a mathematical construct based on the prior assumption made in SR with respect to the non-existance of an absolute frame (note that "Absence of Evidence is not Evidence of Absence"). Since it is not possible to prove a negative it appears to me that in contrast to Rule #13, it becomes incumbant upon objectors to post data showing that length contraction has been demonstrated and my concept therefore is false. Saying SR has been thoroughly tested and passed every test in no manner proves that which has not been observed nor tested since the test data collected is not to the exclusion of alternative explanations. Beyond that I do not have further comment or arguement on the subject. Last edited by MacM; 22-March-2006 at 04:37 AM.. |
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There seems to me to be a number of different ideas in this post; would you please clarify the following?
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If not then I believe a linear accelerator could indeed be scheduled to look specifically for such correlation. BTW: The maximum deviation in data for such an affect would be 1/2,000,000 (5E-7). Quote:
If you accept that the trip time of the moving observer is fully accounted for by the dilated tick rate of his clock then it becomes apparent that no length contraction has occured. What is being done is to take the view of the observer and his proper time as being equivelent t' = t such that mathematically you now have TWO choices. 1 - Conventional SR where spatial distance contracts. But that generates some rather uncomfortable if not impossible physical realities. 2 - The alternative is that the common sense idea that relative velocity means +v and -v are equal is in error. Here you have two factors. a - In a universal sense +v = -v. Where "v" as a numerical value is not considered but only the universal distance covered in a universal elapsed period. b - v is frame dependant as a mathematical conclusion of the ratios of the physical realities in that frame. In the rest frame that is v = d / t In the moving frame it is v' = d / t' This does generate higher velocity calculations in the moving frame but that makes sense keeping in mind that the clock being used to time the trip is ticking more slowly. The fact that it results in superluminal velocites has no actual impact on its validity in that SR causes superluminal velocites as well by contraction of many light years of space in relatively short time periods of time as one approaches v = c. In the case of SR these superluminal velocites are shielded from observation by the creation of event horizons to the moving observer. That might also apply to the alternative view but the realitiy of that I think must wait for actual experiment to determine. |
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I would not agree that it is a matter of confusion about prediction and explanation. I disagree with the predictions including reciprocity. I don't object to any of the predictons which have been tested and emperically confirmed. But reciprocity of these functions and length contraction have not been tested and there is no direct evidence for their support. It appears there exists a more logical cause for the data than the concept of relative velocity with its reciprocity and creation mathematically of spatial length contraction. |
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I see that you are indeed claiming that SR will be in error when compared with experimental results, I did not realize that you were making that claim. There is a wealth of observational data to the contrary of your claim. Take reciprocity-- experiments have been done with two observers in different frames, and sure enough their results are entirely understandable within the context of having the same concept of their relative velocity. Super accurate clocks on GPS satellites, compared to similar clocks on the ground, are an example of this. If there were a problem at the accuracy level you quote (5e-7), we would know this. Indeed, down to 1e-11 or better relativity works quite well (generalizing SR to include gravity). I'm really not clear on why, if we have v=d/t and v'=d'/t', that you wish to claim d=d' when that does not hold for either t or v. What do you think is so special about d, anyway?
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Not sure your understanding of GPS is accurate. The orbiting clock is prelaunch calibrated to a net decrease in tick rate by 38us/day. GR affects cause an increase of 45us/day while the orbit velocity affect would cause a 7.2us/day loss. More importantly the orbit clock does not find the surface clock as ticking slower due to relative vleocity. Also, did the H&K pilots find their expectations (according to SR) that the surface clocks had accumulated less time than their airborne clocks? FYI: GPS uses absolute motion of orbit by using the ECI frame (Earth Centered Inertial) as a referance. Further relative velocity gamma calculation of a clock at the equator vs the orbiting GPS results in -5.8us/day, not the emperically dervied -7.2us/day figure. GPS is only correct because it does not use SR but uses absolute velocity of orbit to a preferred common rest frame the ECI. Quote:
Have you actually taken a deep breath and a few seconds to consider the fact that the trip time is fully accounted for by the dilated tick rate of the clock being used to time the trip and therefore there is no physical room mathematically for contraction to have occured? No, contraction, is clearly a mere mathematical construct based on equivelance of proper times between frames where such times are not universally equal. (That has been demonstrated by emperical data of moving clocks). It is an assumption based on the moving observer concluding mathematically d = vt' and not d = v't'. One must look beyond this option and see what the consequences are. The consequences of the SR view are difficult to accept as reality. |
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Anything else? Quote:
For example
Do you now have enough in the way of positives to work on (so that you can answer my question)? Quote:
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What was the sensitivity of the muon result in Apeiron? Quote:
I see that clj4 beat me to it wrt "rather uncomfortable if not impossible physical realities"; surely what matters isn't how uncomfortable or impossible a theory seems to us, wrt any 'physical reality'? Isn't is principally a question of how well predictions from the theory match the good experimental and observational results? *I note that one of the muon experiments referenced in this paper reports (my bold): "The sidereal variation of this transition frequency is then tracked yielding a limit on bJ of |bJ|<5x10-22mmu". This may have nothing whatsoever to do with absolute frames, or it may also be strongly inconsistent with the Earth moving through one. |
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Nonetheless, there are no competing theories to account for the results, nor is there much room for conclusions other than that the 'paradox' was resolved pretty unambiguously in QM's favour. Universe 1, Einstein et al. 0 Where are the alternative theories (to GR)? Where are the inconsistencies between SR or GR and experiment/observation (other than one atmospheric muon experiment reported in Apeiron)? |
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But certainly as long as you refuse to look you will not find it or any data to suport it. Quote:
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Ah, now I see your problem : you think that there is such a thing as reciprocal length contraction and you demand an experiment that proves it.
OK, this is one of the weaker of the two "paradoxes", is the poor cousin of Dingle's paradox. Anyway, reciprocal length contraction does not exist. It is provable in about 1 page of formulas. Suffice to say that SR DOES NOT CLAIM that reciprocal length contraction exists, quite the contrary, it refutes such a notion. Neither does "mutual time dilation" exist (2 pages of calculations). Happy now? |
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Let me try again. GR has been subject to a large number of tests, both experimental and observational. It has passed all such test to date, with flying colours. (The only apparent exception that I know of is the muon thing which you referenced in another thread). You are claiming that no test to date (other than, perhaps, the muon one) has examined some 'absolute frame' idea which you have. I - and others - have asked you about the ways in which this idea of yours might be tested, in principle. So far, you have not answered how such an idea might be tested, in principle. I have no idea whether any - or all - the hundreds of tests of GR done to date would show inconsistency with your idea of an 'absolute frame' or not. One key reason I have no such idea is that - it seems to me - your idea produces no (quantitative) predictions. If there are no such predictions, it cannot be tested, even in principle. Quote:
We'll find the relevant papers which detail the methods and results, and you can supply us with predictions - from your idea of an 'absolute frame' - of what the experimental results would be (or rather, would have been). We can then see the extent to which that test was (or was not) inconsistent with your idea. OK? Quote:
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SR's predictions re "length contraction" are clear (aren't they?), and they are beyond our ability to test, today (aren't they?). "reciprocity" seems to be an idea no one else who has posted to these threads seems to understand (except to the extent that it's a non-issue - there are no inconsistencies). Perhaps you could have another go at stating, more clearly, what the observable effects of this "reciprocity" would be? Quote:
A good place to start would be a clear, quantitative prediction of the results of an experiment or observation that we could, in principle, carry out today, with the technology we have (today). |
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With respect to length contraction I see no evidence that it exists at all much less with reciprocity. I find it amazing how many people respond with issues which are not germain and ignore the simple fact which I continue to repeat. "The trip time of the moving clock is FULLY accounted for by the dilated tick rate of the clock and based on the same distance". There can be no physical distance change. If distance and time both changed then the affect becomes compounded and you wouldn't get answers that correspond with observaton. Spatial contraction is a mere mathematical construct based on ignoring the dilated tick rate of the clock used to time the trip. That is you are using an altered measurement standard and ignoring the standard change by setting t' = t. We know physically that is not true. It is really no different than claiming the football game took two hours instead of one because you are watching it in slow motion. |
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There seems to be one question not yet answered:
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Let me try again. How is this 'maximum deviation' value of ~0.5 ppm determined? What assumptions were made in that determination? |
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It would seem to me that if one begins to look at test data which can be taken in brief periods to limit vector change due to earth's rotation, orbit, etc or experiments that could be articulated so as to maintain a cosmic vector, could determine if there is an underlying anisotropy. Keep in mind this would be a small change in data due to any absolute motion and would have a signal to noise ratio of several million to one. Accelerated particles in a linear accelerator decay times might be one possible test. The applied energy, vector, etc would have to be meticulously recorded to see any motion to the CMB (or any other anisotropy. Quote:
For example. Given a particle that is accelerated to 0.999c in the local frame. If you now consider that the solar motion to the CMB is 0.001c then by velocity addition the motion would be 0.999002c, not c. The differance between 0.999c and 0.999002c is gamma=22.36627204 and 22.38868 or 0.1% but that is only when orientation is at its maximum the affect would exist between 0.00% and this maximum. Quote:
If so then it would be interesting to see such data but I don't think it exists. Quote:
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That is clock "A" is at rest and clock "B" has a relative ve4loicty of 0.866c such that gamma=2 and "B" ticks at only one tick per two ticks of "A". But then according to the equivelence of inertial frames principle "B" is at rest and it is "A" that has all motion and hence "A" must be ticking at the rate of one tick per two ticks of "B". As a matter of perception due to some illusion of motion this can "Appear" to be the case but that I contend is not time dilation. This is na observatinal issue and has nothing to do with the tick rate of the clock and time it is accumulating. True time dilation is only that which is demonstrated by an accumulation of different amounts of time on each clock when subsequently compared in the same frame. Last edited by MacM; 23-March-2006 at 04:15 AM.. |
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But it is important to note that the absolute motion will have a greater impact on tests if the test is pushed a near as possible to a v = c. That should be clear now from my prior post where 0999c particles would have a 0.001 deviation due to the added motion to the CMB when orientation is changed. |
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Now it is my turn to reverse roles. If you assert reciprocity doesn't exist that runs counter to the generally accepted equivelence of frames as advocated by SR. How do YOU assertain which frame will suffer time dilation or contraction? The rule is the "A" frame is at rest and "B" is in motion AND "B" is at rest and "A" is in motion. |
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http://www.mathpages.com/home/kmath024/kmath024.htm Your question is 50 years old, has been solved many times . The link has a nice story. |
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To get back to the issue of inherent reciprocity in Special Relativity you might try reading here: ******************* Extract ************************ http://www.mathpages.com/home/kmath307/kmath307.htm This principle is usually extended to include reciprocity, meaning that for any two systems S1 and S2 of inertial coordinates, if the spatial origin of S1 has velocity v with respect to S2, then the spatial origin of S2 has velocity -v with respect to S1. The existence of this class of reference frames, and the viability of the principles of relativity and reciprocity, are inferred from experience. Once these principles have been established, the relationship between relatively moving inertial coordinate systems can then be considered. ************************************************** *** I'll merely note that yo have not answered the question of how YOU have determined which frame will undergo time dilation or length contraction. Are you going to do that or are you going to continue to ignore the question? |
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http://home.netcom.com/~heensle/phys/twins.html You would also do well to read this: http://arxiv.org/PS_cache/physics/pdf/0512/0512196.pdf Last edited by MacM; 23-March-2006 at 02:30 PM.. |
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clj4,
You and I agree "There is no reciprocity". However, we do so for different reasons. Mine is that I hold a view where length contraction does not occur and it is against the SR relative velocity view. You purport to support SR yet claim no recirocity. Since reciprocity is inherent in SR and it is openly stated in books and turorials on SR, I have asked you several times now to support your assertion. I repeat once more: "Given clocks "A" and "B" which have a relative velocity between them how do YOU determine WHICH will experience time dilation and length contraction?" Will you be answering anytime soon? I don't mean by posting a link to discuss Dingle's mathematical errors but by stating in detail YOUR method of determining which "A" or "B" will be affected. We are waiting. Last edited by MacM; 23-March-2006 at 02:25 PM.. |
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You mean, YOU are waiting. Everyone else knows the answer. Read this one, especially the last sentence (there is no paradox) http://sheol.org/throopw/dingle-paradox01.html |
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"Each clock "slower" than the other. One slower when compared at E1. The other one slower when compared at E2. In short, "each clock slower than the other" is a misleadingly ambiguous way of stating a precisely defined relationship between clocks and coordinates. The dingle so-called-paradox simply does not show prefered-frame theories any more consistent than special relativity. " It does not state there is no reciprocity, nor is it YOUR method of determining if it is "A" or "B" that will experience time dilation or length contraction. If you are unable to answer the question then please simply say so and lets move on. To re-emphasize I am refering only to time dilation as will be evidenced by comparison of clocks in a common frame since it would be the only true change in time. Not some illusion of motion. |
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Now, you can postulate a third observer (such as the word YOU) in the given, but then YOU will have relative motion between the others and you will see both of the others contracted/dilated by different amounts, depending on their motion. What you have done is to set up the YOU observer as some sort of absolute frame observer, and that is outside the scope of SR. SR doesn't admit to ANY absolute frame.
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Some try to tell me, thoughts they cannot defend,... - Moody Blues. Neptune- The original Dark Matter. The author feels that this technique of deliberately lying will actually make it easier for you to learn the ideas. - Donald Knuth |
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Simultaneity is not a protector of SR either in that to be "Relative Velocity" the conditions MUST be simultaneous. I'll post a scenario demonstrating this failure. To do that efficiently I think we should agree step by step and not rely on misunderstanding due to a complex scenario one time posting. To start this process do you agree that discussing time dilation vs length contraction is a matter of conveince and clarity and not an actual change in topic since they are complimentary affects of SR and that where we have methods and emperical data for time dilation there is none known for length contraction. Question: Are you willing to proceed with this discussion on length contraction using time dilation as a surrogate enity since it is easier to substantiate and they are complementary affects such that failure of one represents failure of the other.? Last edited by MacM; 23-March-2006 at 11:45 PM.. |
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But didn't you, in an earlier post^, caution us against making ad hoc, a priori assumptions? In this case, why assume that the motion of earthly labs is ~300 km/s? Couldn't it just as well be ~300 nm/s? or ~0.99999c? Once you put some kind of number on the table (even if it's only an OOM, for back-of-the-envelope purposes), it becomes a whole lot easier to look at (historical) experiments and observations, for 'motion wrt an absolute frame' signals, n'est pas? So how about this simplifying assumption: whatever the 'absolute frame' is, there will be a ~24 hour* periodic signal in any test data taken anywhere on the Earth's surface (except, perhaps, at the poles)? If you're OK with that, then all (!) we would need to do is do a Fourier transform on any dataset**, and look for a signal at ~24 hours (plus harmonics), right? One advantage of this approach is that it is 'blind' to details of the 'absolute frame' - any ~24 hour (nearly) periodic signal would hint at such a frame, right? ^"You really shouldn't assume anything. That is what got you in trouble at the outset. No the CMB may not be at rest" *It might, of course, be a ~12 hour signal, if it picked up only the amplitude. **or equivalent; I'm not saying any one analytic technique is better than any other, just giving an example |
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