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Many models use Einstein's Special Relativity as basis to build up
other interconnecting theories. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. I'd just like to focus on the latter. I'm a fan of Einstein and I'm seeking counter-arguments to the arguments set forth by Anti-Einsteiners and Warp Speed supporters. What do you think of the following from anlysis by someone who stated there is a flaw in Einstein's SR derivation, as stated below? from a text somewhe "Fatal Flaws in Einstein's Special Relativity Derivation In an attempt to form a credible foundation for his theory of Special Relativity, it was imperative that Einstein presented viable mathematical and logical support for his ideas and claims. Yet, upon examination of Einstein's own account of this supporting logic, numerous fatal flaws can be readily identified. Of these flaws, perhaps the most critical of all is an improper mathematical manipulation that can be clearly seen in the following simplified example: Linel: x=a+b - original expression w/o speed of light Line2: x=a+b*(c^2/c^2)- "harmless" multiplication by 1 Now, let the symbol y stand for the expression (b* C2) Line 3: x = a +y/c^2 Here, we begin with a line that has nothing to do with the speed of light, either because the speed-of-light term was never present or because it dropped out of the derivation by this point - both reasons are functionally equivalent. Next, we arbitrarily choose to multiply one of the terms in Line 1 by the expression c^2/c^2 . The justification for this manipulation is that it is merely a harmless multiplication by 1 since any expression divided by itself is 1. Then, to keep the expression, c^2, from immedi ately canceling itself out again - top and bottom - we group all of the top symbols together and hide them from view inside a new variable, y. This hides the upper C expression and leaves the lower one alone in plain view, transforming the original expression in Line 1 into one that now appears to be intimately connected with the speed of light 2 since it now has a term that is divided by C^2. Of course, this is merely a contrived sleight-of-hand that can be easily exposed in a variety of ways. For example, why was the multiplication by 1 done in the particular form of c^2/c^2? Since this rather odd way to represent the value 1 was completely arbitrary, why not e^3/e^3 or sqrt(f)/sqrt(f)? For that matter, why even perform such an odd, arbitrary manipulatlor, at all, especially since it introduces the very real danger of confusing this arbitrary symbol, c, with the symbol c that did represent the speed of light earlier on, but which naturally dropped out of the derivation? This raises the very important point that the arbitrarily introduced symbol, c, is as meaningless as the symbols e or f would have been if we had chosen them. The fact that c is often used to represent the speed of light (and that is did earlier in the derivation) does not mean that it always does so whenever and however it appears. Pythagoras' famous theorem for the hypotenuse of a right-angled tri angle, a^2 + b^2 = c^2, has not hing to do with the speed of light, of course, but only with the sides of a triangle. The symbol, c, only represents the speed of light if that representation follows from the logical structure and continual flow of a derivation; otherwise, it is a meaningless symbol - nothing other than an arbitrary letter chosen at random from the alphabet. Yet, this is precisely the logic used by Einstein to ensure that the "speed of light" was re-introduced into his derivation after the true speed-of-light term dropped out entirely. One of the reasons that this fatal flaw has gone unnoticed by the scientific community is because Einstein omitted the two key lines showing the speed-of-light term dropping out and the subsequent improper operation to artificially add it back. As a result, on the surface it appears as if the same speed-of-light term continues se amlessly throughout the derivation, though this is actually far from the case. In actuality, the "speed-of-light" term found in Einstein's widely accepted equations of Special Relativity is merely a random, meaningless letter from the alphabet - and nothing more. For those interested in the mathematical details, the first key section of Einstein's derivation is presented below in a simplified form, surrounded by analysis that exposes not only the above fatal error, but numer ous other critical errors and imp roper operations leading up to it as well. Detailed Analysis of the Flaws in Einstein's Derivation A simplified summary of only the salient points in Einstein's derivation is supplied and discussed below, with the full derivation available in his book, as mentioned above. The derivation begins with the classic equation of motion, Distance equals time times velocity: d = t v This equation is presented twice, once for a stationary reference frame (subscripted s) and once for a moving reference frame (subscripted m); and, in both cases, the speed of light, c, is substituted into the velocity parameter: d(s) = t(s) c d(m)= t(m) c These two equations are meant to represent two different perspectives, one stationary and the other in motion, much like the earlier thought experiment with the light beam and the speeding train. Since Einstein's Special Relativity Theory allows for distances to shorten and for time to slow down, time and distance are also subscripted to show that they may vary from the stationary to the moving reference frame. However, since Einstein further postulated that the speed of light never varies in any reference frame, the constant, c, has no subscripted difference. Although this is a reasonable enough beginning, the logic soon becomes derailed by a series of arbitrary value assignments to different variables, while only partially following through on the effect of these assignments. This creates a situation where some new expressions resulting from these assignments are mixed in with other old expressions whose variables should also have changed, but were neglected and left unchanged. The invalid operations that follow from this are further distorted by later arbitrary reassignments of new values to some of these same variables, ignoring the fact that, in many cases, these reassignments now alter the already questionable logic and equations that have been derived thus far. That is, entire expressions that would now have to be changed before being used further are instead left unchanged. Some examples that can he found in the full derivation a (subscript note: m=moving, s=stationary) Setting d(m) = 0 but ignoring that, according to the earlier equation, d(m)= t(m) c, this means t(m)= 0 also. Setting t(s) = 0 but ignoring that, according to the earlier equation, d(s) = t(s) c, this means d(s) = 0 as well. Setting d(m) = 1 but ignoring the earlier assignment of d(m) = 0, as well as the fact that this earlier assignment led to the development of certain expressions that are no longer valid if d. is now arbitrarily changed yet a second time. These errors result in the creation of a mixture of variables that are only partially updated to reflect arbitrary value assignments, with further distortion due to a mixture of entire expressions that are also only partially updated after further value reassignments are made. Yet, despite these sizable problems, the most significant error is yet to come. However, this error is not readily seen in Einstein's published derivation because the two key lines that would clearly show the improper manipulation tia\e been omitted. Nonetheless, it is straightforward to recreate these two omitted lines. We begin by pausing at a key line that appears a little further along in the derivation, but which arises from an odd leap of logic that is difficult to follow from the preceding line. This key line (in simplified form) is: d(m)=(v^2/c^2) d(s) - Key line representing large leap of logic This is a sizable and largely unexplained leap of logic from the line that precedes it. This is also a crucial line since the expression, v^2/c^2, is the key term that ends up in the final equations as the only difference between the pre-existing Relativity Theory and Einstein's new Special Relativity Theory. Although Einstein points out that he made this leap of logic by substituting an expression from earlier in the derivation, he does not actually show his work. Below is this same leap, but with the two omitted lines now shown (again, in simplified form): d(m) = x d(s) - Omitted line where speed-of-light, c, drops out entirely d(m) = (xc^2/c^2) d(s) - Omitted line showing improper attempt to re-introduce the speed-of-light And, since xc^2 = v^2 (from earlier in the derivation), this gives: d(m)=(v^2/c^2) d(s) Key line shown earlier, but now with omitted lines shown above What might be the reason that the two omitted lines above were not shown? It is very significant that these two lines show the speed-of-light term dropping out entirely, then a completely arbitrarily multiplication by c^2/c^2 . Although it could be argued that this is merely a harmless multiplication by the value 1, the important point is that this is an arbitrary attempt to reintroduce the speed of light. Prior to this, the speed-of-light constant, c, which was substituted into the Motion equations at the start of the derivation, had dropped out of the derivation entirely. This means the derivation had stopped being one involving the speed of light in any fashion. Yet, the steps taken in the omitted lines are a deliberate (and erroneous) attempt to arbitrarily add it back in. However, since the symbol, c, was essentially merely drawn in and did not follow from the original flow of the derivation, it cannot be considered as anything other than an undefine d symbol merely the letter 'c' the alphabet - and nothing more. Warp Speed has arrived The Speed of Light is Not a Limit As the preceding analysis shows, there are numerous improper mathematical operations, as well as a fundamental fatal flaw, at the very heart of Einstein's own derivation of his Special Relativity Theory. We have grown so accustomed to hearing about the thought experiments, paradoxes, and mysterious experimental evidence supporting Special Relativity Theory that it has all become accepted and commonplace almost passing as commonsense itself. As a result, it can be difficult to imagine how there might not be a universal speed-of-light limit on objects, forgetting that there is actually no clear reason for such a limit. There was no clear need to introduce this concept in the first place a century ago, and we have struggled to maintain support for it - and all the mysteries following from it - ever since. In actuality, there is nothing stopping objects from traveling well beyond light speed - to any arbitrary speed at all in fact. We won't achieve this in our current generation of particle accelerators that push particles along using a method that has an inherent speed-of-light limit itself, and there are no other processes on the planet that would cause objects to attain such speeds. So far, our spaceships have carried a limited amount of chemical rocket fuel and have used the "accelerateand-coast" approach to traveling great distances - not even attempting to reach such tremendous speeds. But then, if there is no such speed limit in the universe, why don't we see objects of such tremendous speed in the heavens? In answer to this question, there is no particular reason why such speeding objects cannot exist in the heavens, although there is also no particular reason to expect to encounter objects of such tremendous speed relative to us. Since our solar system likely formed from a single swirling disk of gas and particles, all early matter in our solar systen, would have swirled about more or less in unison. As time progressed, this matter congealed into planets of different orbital periods, and random collisions se nt chunks of matter off on collision courses with still other objects, but there is no reason to expect this process to result in relative speeds that exceed or even approach light-speed. Any object having such a rapid speed relative to us would likely have to originate outside our solar system, and perhaps even outside our galaxy since our galaxy also may have formed from an enormous disk of gas and particles rotating in unison. This also means that the dream of warp-speed space travel multiples of light-speed - is not science fiction and does not require some exotic or futuristic new technology. Warp speed has been within our grasp ever since the early days of the space program. We simply have not achieved it because we haven't tried, and we haven't tried because Special Relativity Theory said we couldn't - and we believed it. All that is required is continuous acceleration from an extended fuel burn; a spaceship would accelerate faster and faster as its fuel burns, just as common sense tells us it should. The spaceship will not undergo a mysterious "relativistic mass increase" as it increases in speed, it will not need to bum more and more fuel to compensate for such "mass increase," and it will not have any special difficulty approaching or exceeding the light-speed "barrier." The only question about our ability to achieve light-speed - relative to our solar system for example - is whether the sp aceship can carry enough fuel to re ach such speeds before exhausting its supply." |
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cinquirer wrote:
Many models use Einstein's Special Relativity as basis to build up other interconnecting theories. Right, for example Quantum Electrodynamics, one of the best tested theories in physics ever. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. Such comments come *only* from people who don't understand SR. I'd just like to focus on the latter. I hope you are able to understand the arguments... I'm a fan of Einstein and I'm seeking counter-arguments to the arguments set forth by Anti-Einsteiners and Warp Speed supporters. You can spend you whole life doing this, and still you will have answered only about 1% of the crackpots out there, I estimate. What do you think of the following from anlysis by someone who stated there is a flaw in Einstein's SR derivation, as stated below? from a text somewhe Where did you get it from? "Fatal Flaws in Einstein's Special Relativity Derivation In an attempt to form a credible foundation for his theory of Special Relativity, it was imperative that Einstein presented viable mathematical and logical support for his ideas and claims. Yet, upon examination of Einstein's own account of this supporting logic, numerous fatal flaws can be readily identified. Of these flaws, perhaps the most critical of all is an improper mathematical manipulation that can be clearly seen in the following simplified example: Linel: x=a+b - original expression w/o speed of light Line2: x=a+b*(c^2/c^2)- "harmless" multiplication by 1 Now, let the symbol y stand for the expression (b* C2) Line 3: x = a +y/c^2 Completely sensible mathematical manipulation. Here, we begin with a line that has nothing to do with the speed of light, either because the speed-of-light term was never present or because it dropped out of the derivation by this point - both reasons are functionally equivalent. Next, we arbitrarily choose to multiply one of the terms in Line 1 by the expression c^2/c^2. I don't remember that Einstein did ever do something like this arbitrarily. The justification for this manipulation is that it is merely a harmless multiplication by 1 since any expression divided by itself is 1. Then, to keep the expression, c^2, from immedi ately canceling itself out again - top and bottom - we group all of the top symbols together and hide them from view inside a new variable, y. This hides the upper C expression and leaves the lower one alone in plain view, transforming the original expression in Line 1 into one that now appears to be intimately connected with the speed of light 2 since it now has a term that is divided by C^2. Of course, this is merely a contrived sleight-of-hand that can be easily exposed in a variety of ways. What's contrived about this? It's a sensible mathematical manipulation. For example, why was the multiplication by 1 done in the particular form of c^2/c^2? Since this rather odd way to represent the value 1 was completely arbitrary, why not e^3/e^3 or sqrt(f)/sqrt(f)? I would think because of physical reasons. We'll see this if he comes to what Einstein actually did. For that matter, why even perform such an odd, arbitrary manipulatlor, at all, especially since it introduces the very real danger of confusing this arbitrary symbol, c, with the symbol c that did represent the speed of light earlier on, but which naturally dropped out of the derivation? This raises the very important point that the arbitrarily introduced symbol, c, is as meaningless as the symbols e or f would have been if we had chosen them. The fact that c is often used to represent the speed of light (and that is did earlier in the derivation) does not mean that it always does so whenever and however it appears. Completely right. But that the speed of light appears in Special Relativity is based on physics, not on such mathematical arguments. Pythagoras' famous theorem for the hypotenuse of a right-angled tri angle, a^2 + b^2 = c^2, has not hing to do with the speed of light, of course, but only with the sides of a triangle. The symbol, c, only represents the speed of light if that representation follows from the logical structure and continual flow of a derivation; otherwise, it is a meaningless symbol - nothing other than an arbitrary letter chosen at random from the alphabet. Yet, this is precisely the logic used by Einstein to ensure that the "speed of light" was re-introduced into his derivation after the true speed-of-light term dropped out entirely. Where did this happen, exactly? One of the reasons that this fatal flaw has gone unnoticed by the scientific community is because Einstein omitted the two key lines showing the speed-of-light term dropping out and the subsequent improper operation to artificially add it back. As a result, on the surface it appears as if the same speed-of-light term continues se amlessly throughout the derivation, though this is actually far from the case. In actuality, the "speed-of-light" term found in Einstein's widely accepted equations of Special Relativity is merely a random, meaningless letter from the alphabet - and nothing more. What a nonsense! There are clear physical reasons why the speed of light has to appear in the equations of SR! For those interested in the mathematical details, the first key section of Einstein's derivation is presented below in a simplified form, Where did he get this derivation from? Reference? surrounded by analysis that exposes not only the above fatal error, but numer ous other critical errors and imp roper operations leading up to it as well. Detailed Analysis of the Flaws in Einstein's Derivation A simplified summary of only the salient points in Einstein's derivation is supplied and discussed below, with the full derivation available in his book, as mentioned above. Where in this book, exactly? The derivation begins with the classic equation of motion, Distance equals time times velocity: d = t v This equation is presented twice, once for a stationary reference frame (subscripted s) and once for a moving reference frame (subscripted m); and, in both cases, the speed of light, c, is substituted into the velocity parameter: d(s) = t(s) c d(m)= t(m) c Didn't Einstein use x instead of d? I'm not familiar with his book, only with some articles by him. These two equations are meant to represent two different perspectives, one stationary and the other in motion, much like the earlier thought experiment with the light beam and the speeding train. Since Einstein's Special Relativity Theory allows for distances to shorten and for time to slow down, Not "allows for". *Implies*. time and distance are also subscripted to show that they may vary from the stationary to the moving reference frame. That's not "since his theory allows them to shorten resp. to slow down", but simply this is a *coordinate transformation*, and Einstein wanted to take into account the possibility that t has to be transformed, too. However, since Einstein further postulated that the speed of light never varies in any reference frame, the constant, c, has no subscripted difference. Well, this postulate was supported by observations. Although this is a reasonable enough beginning, the logic soon becomes derailed by a series of arbitrary value assignments to different variables, while only partially following through on the effect of these assignments. This creates a situation where some new expressions resulting from these assignments are mixed in with other old expressions whose variables should also have changed, but were neglected and left unchanged. The invalid operations that follow from this are further distorted by later arbitrary reassignments of new values to some of these same variables, ignoring the fact that, in many cases, these reassignments now alter the already questionable logic and equations that have been derived thus far. That is, entire expressions that would now have to be changed before being used further are instead left unchanged. Babble. Come to the point. Some examples that can he found in the full derivation a (subscript note: m=moving, s=stationary) Setting d(m) = 0 but ignoring that, according to the earlier equation, d(m)= t(m) c, this means t(m)= 0 also. Where did this happen, exactly, in the book? Setting t(s) = 0 but ignoring that, according to the earlier equation, d(s) = t(s) c, this means d(s) = 0 as well. Same question. Setting d(m) = 1 but ignoring the earlier assignment of d(m) = 0, O.k., that's enough. The one who wrote this was apparently unaware that Einstein was talking about *coordinate transformations* there and simply looked what values d(s) and t(s) have when certain values are assigned to d(m) and t(m), or vice versa. He didn't claim anywhere that d(m) = 1 and d(m) = 0 and d(m) = c t(m) have to be valid *at once* - these are different cases for which he examines the consequences for d(s) and t(s) (again, I haven't read his book, but that's what he was doing in articles - and this makes sense!) This is a quite common error among people arguing against SR: they don't understand that Einstein talks about coordinate transformations, and often don't even understand the *concept* of coordinate transformations. I won't bother to comment on the rest - someone who doesn't understand even such basic points isn't qualified to judge SR. [snip rest] Bye, Bjoern |
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cinquirer wrote:
Many models use Einstein's Special Relativity as basis to build up other interconnecting theories. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. What is the experimental basis of Special Relativity? http://math.ucr.edu/home/baez/physic...periments.html Physics is an experimental science, and as such the experimental basis for any physical theory is extremely important. The relationship between theory and experiments in modern science is a multi-edged sword: 1. It is required that the theory not be refuted by any experiment within the theory's domain of applicability. 2. It is expected that the theory be confirmed by a number of experiments which cover a significant fraction of the theory's domain of applicability. 3. It is expected that the theory be confirmed by a number of experiments which examine a significant fraction of the theory's predictions. Special Relativity (SR) meets all of these requirements and expectations. There are literally hundreds of experiments which have tested SR, with an enormous range and diversity, and the agreement between theory and experiment is excellent. There is a lot of redundancy in these experimental tests. There are also a lot of indirect tests of SR which are not included here. This list of experiments is by no means complete! Other than their sheer numbers, the most striking thing about these experimental tests of SR is their remarkable breadth and diversity. An important aspect of SR is its universality - it applies to all known physical phenomena and not just to the electromagnetic phenomena it was originally invented to explain. In these experiments you will find tests using electromagnetic and nuclear measurements (including both strong and weak interactions); gravitational tests are the province of General Relativity, and are not considered here, see Experimental Tests of GR. There are several useful surveys of the experimental basis of SR: Y.Z.Zhang, Special Relativity and its Experimental Foundations, World Scientific (1997). G.Holton, "Resource Letter SRT-1 on Special Relativity Theory", Am. J. Phys., 30 (1962), p462. D.I.Blotkhintsev, "Basis for Special Relativity Theory Provided by Experiments in High Energy Physics", Sov. Phys. Uspekhi, 9 (1966), p405. Newman et al. Phys. Rev. Lett. 40 no. 21 (1978), p1355. Zhang's book is especially comprehensive. Textbooks which have good summaries of the experimental basis of relativity a M.Born, Einstein's theory of Relativity. Bergmann, Introduction to the Theory of Relativity. Moller, The Theory of Relativity. M. von Laue, Die relativitätstheorie (in German). |
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"cinquirer" wrote in message om... Many models use Einstein's Special Relativity as basis to build up other interconnecting theories. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. I'd just like to focus on the latter. I'm a fan of Einstein and I'm seeking counter-arguments to the arguments set forth by Anti-Einsteiners and Warp Speed supporters. Fan support isn't very scientific, now is it?! What really matters, if you find that point of the theory important, can *you* provide a satisfying derivation. What do you think of the following from anlysis by someone who stated there is a flaw in Einstein's SR derivation, as stated below? from a text somewhe No reference? "Fatal Flaws in Einstein's Special Relativity Derivation In an attempt to form a credible foundation for his theory of Special Relativity, it was imperative that Einstein presented viable mathematical and logical support for his ideas and claims. Yet, upon examination of Einstein's own account of this supporting logic, numerous fatal flaws can be readily identified. Of these flaws, perhaps the most critical of all is an improper mathematical manipulation that can be clearly seen in the following simplified example: Oh oh, also the reference to Einstein is lacking, and I don't readily recognize this one... Harald |
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cinquirer wrote:
Many models use Einstein's Special Relativity as basis to build up other interconnecting theories. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. I'd just like to focus on the latter. I'm a fan of Einstein and I'm seeking counter-arguments to the arguments set forth by Anti-Einsteiners and Warp Speed supporters. 1) Learn the difference between Special Relativity and General Relativity. 2) Cut the crap and cut to the chase, http://arXiv.org/abs/hep-th/0307140 GR structure, especially Part 4/p. 7 http://rattler.cameron.edu/EMIS/journals/LRG/Articles/Volume4/2001-4will/index.html Experimental constraints on General Relativity. http://tycho.usno.navy.mil/ptti/ptti2002/paper20.pdf http://rattler.cameron.edu/EMIS/journals/LRG/Articles/Volume6/2003-1ashby/index.html http://www.eftaylor.com/pub/projecta.pdf Relativity in the GPS system 3) SR and GR are self-consistent axiomatic geometries. They contain no internal mistakes and cannot be "disproven" any more than Euclid can be disproven. There are only two legitimate routes to falsifying Einstein, a) Find an empirical exception to a prediction. Nearly 100 years of trying at every scale achievable have uncovered nothing even remotely anomalous. b) Empirically falsify a founding postulate. No axiomatic system can defend its postulates. Euclid cannot be used for large scale navigation because the Earth's surface is non-Euclidean. Relativity has only one weak postulate, the Equivalence Principle. Complete gravitation theory exists that does not need it and gives the same predictions otherwise. Einstein could fall to a footnote tested on a benchtop, http://www.mazepath.com/uncleal/qz.pdf http://www.mazepath.com/uncleal/eotvos.htm 4) Nothing that violates causality is an optimistic road to pursue unless you are prepared to drastically rewrite all of physics - and you must still embrace accumulated observations to date. You cannot - CANNOT! - disprove relativity or something functionally identical to it. You can only include it within a superset theory, as Einstein contracts to Newton when the speed of light can be approximated by infinity. [snip] -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) "Quis custodiet ipsos custodes?" The Net! |
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In article ,
cinquirer wrote: Many models use Einstein's Special Relativity as basis to build up other interconnecting theories. However, some SR critique state Special Relativity itself is based on misinterpretation of results in experiments and most of all, in the derivations of the equations. I'd just like to focus on the latter. I'm a fan of Einstein and I'm seeking counter-arguments to the arguments set forth by Anti-Einsteiners and Warp Speed supporters. What do you think of the following from anlysis by someone who stated there is a flaw in Einstein's SR derivation, as stated below? You're wasting your time if you try to change the opinions of Anti-Einsteiners. Their dislike of the theory is independent of their understanding of it or supporting experimental evidence. Most of them seem not to understand it, but that's a symptom rather than a cause because they have no intention of studying it, and no intention of learning from people on Usenet. At any rate, relativity was not based on any particular experimental results. It has the two postulates; the principle of relativity and the invariant speed of light. Einstein was inspired by Maxwell's equations; the equations are invariant under Lorentz transformations and any absolute aether frame drops out of any calculation of measurable things, so he chucked the unobservable and, reasoning that Maxwell's equations had been tested at high speed while Newtonian mechanics hadn't, generalized the transformations to all of mechanics. Because a transformation is just a change in perspective, and it seems silly to have one set of transformation laws for one set of phenomena, and another set for different phenomena. But the motivation, inspiration, induction, or other processes leading to the theory don't mean a lot. What matters is the postulates and definitions of the theory, and whether predictions deduced from those postulates match observations in the real world. A new theory is never derived, because it would have to have been derived from the postulates of another theory, and then it wouldn't be a new theory, it would be a conclusion of an old theory. Bergmann has a nice derivation of the Lorentz transformations from Einstein's postulates in a cheap Dover book. He's concise, but straightforward. I have no interest in reading the quoted material and trying to figure out what the author is doing or where he went wrong. Too much time for zero benefit. Various results in relativity have been rederived by many people in various ways, the consistency with the postulates is not in question. What's left is for experiment to decide. -- "Let us learn to dream, gentlemen, then perhaps we shall find the truth... But let us beware of publishing our dreams before they have been put to the proof by the waking understanding." -- Friedrich August Kekulé |
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4) Nothing that violates causality is an optimistic road to pursue
unless you are prepared to drastically rewrite all of physics Just thinking...isn't that what Quantum Mechanics did? -- Regards Michael Hatzidakis |
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Subject: Flaws in Einstein's SR Derivation? Date: Tue, 18 Nov 2003 14:44:13 -0600 From: Sam Wormley Organization: Educational Observatory Institute, Inc. To: Yreva18 References: 1 , 2 Yreva18 wrote: It is seriously doubted that there are flaws in Einstein's SR derivation since it reaches the same conclusion that was reached 2 years earlier by truly intelligent men (Fitzgerald, Larmor) and resulted in the Lorentz Transformation-Aether Theory (LTET). SR and LTET differ only in the fact that LTET asserts that there is a medium (the Aether) which acts as the framework for reality but which cannot be observed. SR asserts that because it cannot be observed we can PRETEND that it does not exist. A brief glance at the theories will reveal to the intellignet reader that they result from the effect that motion through the Aether increases the path length for round trips of information and change the rate at which clocks respond to the passage of time. There are easily understood physical reasons why this is occurs. Observational and Experimental Evidence Bearing on General Relativity http://math.ucr.edu/home/baez/RelWWW/tests.html General Relativity Tutorial John Baez http://math.ucr.edu/home/baez/gr/gr.html Relativity on the World Wide Web http://math.ucr.edu/home/baez/relativity.html General Relativity and Cosmology FAQs http://math.ucr.edu/home/baez/physics/ Developments in General Relativity: Black Hole Singularity and Beyond http://arxiv.org/abs/gr-qc/0304052 Improved Test of General Relativity with Radio Doppler Data from the Cassini Spacecraft http://arxiv.org/abs/gr-qc/0308010 What is the experimental basis of Special Relativity? http://math.ucr.edu/home/baez/physic...periments.html Physics is an experimental science, and as such the experimental basis for any physical theory is extremely important. The relationship between theory and experiments in modern science is a multi-edged sword: 1.It is required that the theory not be refuted by any experiment within the theory's domain of applicability. 2.It is expected that the theory be confirmed by a number of experiments which cover a significant fraction of the theory's domain of applicability. 3.It is expected that the theory be confirmed by a number of experiments which examine a significant fraction of the theory's predictions. Special Relativity (SR) meets all of these requirements and expectations. There are literally hundreds of experiments which have tested SR, with an enormous range and diversity, and the agreement between theory and experiment is excellent. There is a lot of redundancy in these experimental tests. There are also a lot of indirect tests of SR which are not included here. This list of experiments is by no means complete! Other than their sheer numbers, the most striking thing about these experimental tests of SR is their remarkable breadth and diversity. An important aspect of SR is its universality - it applies to all known physical phenomena and not just to the electromagnetic phenomena it was originally invented to explain. In these experiments you will find tests using electromagnetic and nuclear measurements (including both strong and weak interactions); gravitational tests are the province of General Relativity, and are not considered here, see Experimental Tests of GR. There are several useful surveys of the experimental basis of SR: Y.Z.Zhang, Special Relativity and its Experimental Foundations, World Scientific (1997). G.Holton, "Resource Letter SRT-1 on Special Relativity Theory", Am. J. Phys., 30 (1962), p462. D.I.Blotkhintsev, "Basis for Special Relativity Theory Provided by Experiments in High Energy Physics", Sov. Phys. Uspekhi, 9 (1966), p405. Newman et al. Phys. Rev. Lett. 40 no. 21 (1978), p1355. Zhang's book is especially comprehensive. Textbooks which have good summaries of the experimental basis of relativity a M.Born, Einstein's theory of Relativity. Bergmann, Introduction to the Theory of Relativity. Moller, The Theory of Relativity. M. von Laue, Die relativitätstheorie (in German). |
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