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| Tags: light, relativity, speed |
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#1
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Dear Mr. Keynon and sirs!
In order to construct the Special theory of relativity (SR), Einstein advanced two axiom assumption which be called SR's two postulates in which the second one is "the speed of light c in vacuum is invariant in all of the inertial reference frames." This axiom assumption can also be expressed by a simply function that dx/dt=dx'/dt'=dx"/dt"=…=c or other form x=ct, x'=ct' which we often see in the Lorentz transformation. If only use this postulate, SRians still can not give any reasonable explanation for the above questions. However, from the second axiom assumption SR inherit Lorentz transformation in order to infer the velocity addition which be in form v'=(v+vo)/(1+v*vo/c^2) . Getting v=c, yield v'=(c+vo)/(1+vo/c)=c. It is here! SRians used this equation to interpret on for Einstein that: the c+v or c-v additions are meaningless, then they understood and interpreted the idea of the SR's second postulate that "the speed of light in vacuum is invariant wrt its sources and observers". Thus, SRians will answer Mr. Keynon's above questions only by SR's velocity addition equation. As for me, I can claim that: since accepted the SR's second postulate, there is still another transformation called the non-Lorentz transformation in which SR's v'=(v+vo)/(1+v*vo/c^2) velocity addition equation must be collapsed! More detail that: if the co-ordinate relationship between two K, K' inertial frame which travelling at velocity vo wrt each other is expressed in form t' = A*t + B*x x' = D*t + E*x where A,B,D,E are the functions of vo, the Einstein-Lorentz transformation yielded the velocity addition equation in form v'=(v+vo)/(1+v*vo/c^2); but if it is expressed in form t' = A*t x' = D*t + E*x i.e getting B = 0 and where A,D,E are the function of vo, the Einstein-Lorentz transformation will yield the velocity addition equation in form v' = v*sqrt(1-vo^2/c^2) + vo, i.e c+uc and c-uc. This will disclaim the "invariant of c wrt its observers" idea in the SR's second postulate! In this case, SRians will only able to keep an unique idea for SR's second postulate that the speed of light is invariant wrt its sources but not be its observers. As above, I proved that the velocity addition equation in form v'=(v+vo)/(1+v*vo/c^2) is only consequence inferring from the form of function having factor B different with zero. Thus, SRians can not say that "the invariant of the light speed c wrt its observers is one foundation idea in SR's second postulate", because of it only is a consequence inferring from the velocity addition equation being in form v'=(v+vo)/(1+v*vo/c^2) while still exist another form that disclaim it! Otherwise, we knew that the velocity addition equation in form v'=(v+vo)/(1+v*vo/c^2) is very important in SR&GR. It permit SRians state that nothing can travel at speed exceed c. It can also defend the infinity situation in all of SR's equations. And it also is one of derivations for presenting GR. The factor B different with zero in above function is the third axiom assumption which not be mentioned in SR, isn't it? And .. Can SRians prove that factor B equal zero be wrong and different zero be unique right? I am a non-SRian, and this is my challenge to SRians! Please you, SRians! Sincerely, ThanhMinh. |
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#2
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"greywolf42" wrote in message . .. "Martin Hogbin" wrote in message Better to say that it has never been measured to have any value other than c (in a vacuum and an inertial frame of course). LOL! If one measures the speed of light, then one is (by definition) measuring 'c'. But the values are never measured to be 'constant.' What explicit value are you using? The value of c is well known. Can you name any experiment in which light is measured to travel at any speed other than c _in a vacuum and an inertial frame_. Light speed varies when moving from one medium to another. (Huygens, Fresnell) This is not in a vacuum. Light speed varies when the media its in is accelerated (Fizeau) This is not in a vacuum. Light speed varies in vacuum when moving around a rotating table (Sagnac.) Not when measured in an inertial frame. Light speed varies in vacuum on Earth when moving around a *stationary* table (Michelson-Gale.) The measurement does not take place in an inertial frame because the Earth is rotating. Light speed varies when moving around the Earth (Allan, Weiss, and Ashby). The measurement does not take place in an inertial frame. Light is actually faster west than east (Sagnac) and faster down than up (Einstein.) This is not an inertial frame. Light speed varies in vacuum when it passes by anything gravitational (Shapiro time delay). The measurement does not take place in an inertial frame. Martin Hogbin |
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#3
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"Craig Markwardt" wrote in message
news ![]() "greywolf42" writes: ... The only problem is that the speed of light is never measured to be constant. It is simply assumed to be so -- by theoretical fiat. ... a statement which is of course unsubstantiated. Although my statement was not substantiated in the specific post, it has been substantiated many times on this newsgroup. See my reply to Martin, (yesterday) for example. http://www.google.com/groups?selm=gp...lashnews grou ps.com http://www.google.com/groups?selm=20...79%40mb-cg.aol. com http://www.google.com/groups?selm=20...17%40mb-fj.aol. com http://www.google.com/groups?selm=10....supernews.com Anyone who is aware of the fairly recent redefinition of the meter to be the 'speed of light' multiplied by a certain number of seconds is aware of the disingeneousness of your statement. There are many experiments to measure the constancy of the speed of light. Examples: Schaefer, B. 1999, PRL, 82, 4964 (constancy of c with frequency) But this does not show constancy of the speed of light. It says that the frequency of the light does not change it's speed. Which is trivial for any non-shock wave in most media. Will, C. 2001, Living Rev. Rel. 4, 4 (LLI tests in sec 2.1) http://www.livingreviews.org/lrr-2001-4 This does not address the constancy of the speed of light at all. It is a paen to GR. Wolf, P. & Gerrard, P. 1997, PRA, 56, 4405 (isotropicity of c) Nor does this paper address the issue of constancy of c. In addition, it uses the GPS system ... which is actively steered. Which makes the entire paper worthless. It is also worthless because the paper uses Einstein synchrony. Which artificially puts in a 'constant c' to any measurement by prerun corrections. All three simply assume that 'c' is constant. Do you have any experimental support for your claim? -- greywolf42 ubi dubium ibi libertas {remove planet for e-mail} |
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#4
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"Martin Hogbin" wrote in message
... "greywolf42" wrote in message . .. "Martin Hogbin" wrote in message Better to say that it has never been measured to have any value other than c (in a vacuum and an inertial frame of course). LOL! If one measures the speed of light, then one is (by definition) measuring 'c'. But the values are never measured to be 'constant.' What explicit value are you using? The value of c is well known. Excellent! Then you should have no trouble identifying it! What value are you using? Can you name any experiment in which light is measured to travel at any speed other than c _in a vacuum and an inertial frame_. As soon as you find me a specific value that you claim is the 'correct' answer, I will point out at least one experiment that contradicts that value. Light speed varies when moving from one medium to another. (Huygens, Fresnell) This is not in a vacuum. Light speed varies when the media its in is accelerated (Fizeau) This is not in a vacuum. Light speed varies in vacuum when moving around a rotating table (Sagnac.) Not when measured in an inertial frame. Light speed varies in vacuum on Earth when moving around a *stationary* table (Michelson-Gale.) The measurement does not take place in an inertial frame because the Earth is rotating. Light speed varies when moving around the Earth (Allan, Weiss, and Ashby). The measurement does not take place in an inertial frame. Light is actually faster west than east (Sagnac) and faster down than up (Einstein.) This is not an inertial frame. Light speed varies in vacuum when it passes by anything gravitational (Shapiro time delay). The measurement does not take place in an inertial frame. OK, I accept all your notes. However, there aren't any measurements that have been made in pure vacuum or in inertial frames. So where is your evidence? Quite simply, you have made a bald statement-by-assertion: "Light speed is constant for all observers in an inertial frame in a pure vacuum." Hence, it is up to you to support this claim. As far as I know, all you have going for you is Einstein's postulate. -- greywolf42 ubi dubium ibi libertas {remove planet for e-mail} |
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#5
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greywolf42 wrote:
"Martin Hogbin" wrote in message ... "greywolf42" wrote in message . .. "Martin Hogbin" wrote in message Better to say that it has never been measured to have any value other than c (in a vacuum and an inertial frame of course). LOL! If one measures the speed of light, then one is (by definition) measuring 'c'. But the values are never measured to be 'constant.' What explicit value are you using? The value of c is well known. Excellent! Then you should have no trouble identifying it! What value are you using? Can you name any experiment in which light is measured to travel at any speed other than c _in a vacuum and an inertial frame_. As soon as you find me a specific value that you claim is the 'correct' answer, I will point out at least one experiment that contradicts that value. Light speed varies when moving from one medium to another. (Huygens, Fresnell) This is not in a vacuum. Light speed varies when the media its in is accelerated (Fizeau) This is not in a vacuum. Light speed varies in vacuum when moving around a rotating table (Sagnac.) Not when measured in an inertial frame. Light speed varies in vacuum on Earth when moving around a *stationary* table (Michelson-Gale.) The measurement does not take place in an inertial frame because the Earth is rotating. Light speed varies when moving around the Earth (Allan, Weiss, and Ashby). The measurement does not take place in an inertial frame. Light is actually faster west than east (Sagnac) and faster down than up (Einstein.) This is not an inertial frame. Light speed varies in vacuum when it passes by anything gravitational (Shapiro time delay). The measurement does not take place in an inertial frame. OK, I accept all your notes. However, there aren't any measurements that have been made in pure vacuum or in inertial frames. So where is your evidence? Quite simply, you have made a bald statement-by-assertion: "Light speed is constant for all observers in an inertial frame in a pure vacuum." Hence, it is up to you to support this claim. As far as I know, all you have going for you is Einstein's postulate. Perhaps many models describe an idealized and abstract set of circumstances to one degree or another. I'm somewhat astounded how idealized (non-extistent vaccuum) and how abstract (inertial frames) this one happens to be. This makes assumptions required for relativity very powerful (indeed, non-falsifiable by empirical/experimental evidence), since conditions sufficient to disprove this assumption are either non-existent or arbitrary. -- greywolf42 ubi dubium ibi libertas {remove planet for e-mail} |
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#6
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wrote in message om... (Bilge) wrote in message ... : Dear Mr. Keynon and sirs! In order to construct the Special theory of relativity (SR), Einstein advanced two axiom assumption which be called SR's two postulates in which the second one is "the speed of light c in vacuum is invariant in all of the inertial reference frames." The second postulate is unnecessary. It's sufficient to assume the first and determine `c' from experiment. No, actually no! Please see the following ancient post by Tom Roberts: http://groups.google.com/groups?q=ph...ent.com&rnum=4 And note from the introduction: 'Many criticisms of Special Relativity center on the "assumption" that the speed of light is constant in all reference frames. The derivation given here does not make that assumption; the existence of a universal speed (c) is a natural consequence of the Postulates forming the basis of the derivation. General symmetry properties of space-time are sufficient to determine the equations of the Lorentz Transformation [to within a topological choice - see below]. The bottom line is that it is IMPOSSIBLE to formulate an alternative to Special Relativity, while obeying the observed symmetries of space-time and agreeing with the experimental evidence [see below about the limitations of the symmetry postulates used in this derivation].' Thanks Bill The SR's second axiom assumption can be simply expressed in the math form that x=ct, x'=ct'. It's this permitting Einstein inherit the Lorentz transformation to infer the dtau=dt*sqrt(1-v^2/c^2) function representing the "time dilation" concept in SR. Next, to base on the first axiom assumption that the functions describing the natural laws have the same form in all of the inertial frames, SR continue to inherit Newton's motion functions in which substitute dt by dtau in order to defined all of the foundation concepts in SR as follow: the relativistic momentum, the relativistic motion energy, the relativistic mass ... So, to confirm my above arguments you can reconsider in the text-books. Thank, ThanhMinh. |
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#7
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"Robert B. Winn" wrote in message om... wrote in message . com... (Bilge) wrote in message ... : Dear Mr. Keynon and sirs! In order to construct the Special theory of relativity (SR), Einstein advanced two axiom assumption which be called SR's two postulates in which the second one is "the speed of light c in vacuum is invariant in all of the inertial reference frames." The second postulate is unnecessary. It's sufficient to assume the first and determine `c' from experiment. No, actually no! The SR's second axiom assumption can be simply expressed in the math form that x=ct, x'=ct'. It's this permitting Einstein inherit the Lorentz transformation to infer the dtau=dt*sqrt(1-v^2/c^2) function representing the "time dilation" concept in SR. Next, to base on the first axiom assumption that the functions describing the natural laws have the same form in all of the inertial frames, SR continue to inherit Newton's motion functions in which substitute dt by dtau in order to defined all of the foundation concepts in SR as follow: the relativistic momentum, the relativistic motion energy, the relativistic mass ... So, to confirm my above arguments you can reconsider in the text-books. Thank, ThanhMinh. Can you tell me what they are talking about with this? x'=Ax-Bvt t'=Dt-Evx How do they come up with A, B, D, and E? Homogeneity implies the trandofrmations must be linear - simple argument from the calculus will show this - a correct but more complex derivation can be found here http://arxiv.org/abs/physics/0110076. Bill Robert B. winn |
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#8
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"Bill Hobba" wrote in message
... wrote in message om... (Bilge) wrote in message ... : Dear Mr. Keynon and sirs! In order to construct the Special theory of relativity (SR), Einstein advanced two axiom assumption which be called SR's two postulates in which the second one is "the speed of light c in vacuum is invariant in all of the inertial reference frames." The second postulate is unnecessary. It's sufficient to assume the first and determine `c' from experiment. No, actually no! Please see the following ancient post by Tom Roberts: http://groups.google.com/groups?q=ph...ty&hl=en&lr = &group=sci.physics.relativity&selm=54jfst%24glp%40 ssbunews.ih.lucent.com&rnu m=4 And note from the introduction: 'Many criticisms of Special Relativity center on the "assumption" that the speed of light is constant in all reference frames. The derivation given here does not make that assumption; the existence of a universal speed (c) is a natural consequence of the Postulates forming the basis of the derivation. General symmetry properties of space-time are sufficient to determine the equations of the Lorentz Transformation [to within a topological choice - see below]. The bottom line is that it is IMPOSSIBLE to formulate an alternative to Special Relativity, while obeying the observed symmetries of space-time and agreeing with the experimental evidence [see below about the limitations of the symmetry postulates used in this derivation].' Unfortunately, that ancient post has been shown to be defective in several respects. In this old derivation, Tom refers to 'coordinate systems.' However, since that time, Tom has had to modify his viewpoint to require 'inertial frames.' Once Tom requires the Lorentz Transform (which is the historical basis for the 'general symmetry properties of space-time'), there's nothing left to do. Tom simply reversed the historical basis of spacetime. Which is trivial, and meaningless. -- greywolf42 ubi dubium ibi libertas {remove planet for e-mail} |
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#9
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"Paul Bramscher" wrote in message
... greywolf42 wrote: "Martin Hogbin" wrote in message ... {snip higher and uncommented levels} OK, I accept all your notes. However, there aren't any measurements that have been made in pure vacuum or in inertial frames. So where is your evidence? Quite simply, you have made a bald statement-by-assertion: "Light speed is constant for all observers in an inertial frame in a pure vacuum." Hence, it is up to you to support this claim. As far as I know, all you have going for you is Einstein's postulate. Perhaps many models describe an idealized and abstract set of circumstances to one degree or another. I'm somewhat astounded how idealized (non-extistent vaccuum) and how abstract (inertial frames) this one happens to be. This makes assumptions required for relativity very powerful (indeed, non-falsifiable by empirical/experimental evidence), since conditions sufficient to disprove this assumption are either non-existent or arbitrary. I wouldn't consider that 'powerful'. Tautologies may be fun philosophy, but they have no place in the scientific method. -- greywolf42 ubi dubium ibi libertas {remove planet for e-mail} |
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#10
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"greywolf42" wrote in message ... "Martin Hogbin" wrote in message ... OK, I accept all your notes. However, there aren't any measurements that have been made in pure vacuum or in inertial frames. Of course not, because there is no such think as a perfect vacuum or inertial frame just like there is no such thing as a point mass, a frictionless surface or a massless inextensible string. This is how physics works; we start with idealisations and then add in the complications one by one. So where is your evidence? I am sure you must be familiar with the evidence that supports Einstein's postulate by now. Your complaint seems to be that none of the tests were performed in a perfect vacuum or an inertial frame. This is true but, of course, the experimenters (and later physicists) were aware of this. In some cases this throws doubt on the validity of the results but it is possible to calculate (independently of relativity) the effects for example of a medium on the speed of an electromagnetic wave and in some cases this can be shown to be negligible. This is no different to the evidence that supports Newtonian physics. It is never possible to do a perfect experiment; we do the best we can and then try to estimate the causes of error. Quite simply, you have made a bald statement-by-assertion: "Light speed is constant for all observers in an inertial frame in a pure vacuum." Hence, it is up to you to support this claim. You have, no doubt, seen the FAQ on this. Martin Hogbin |
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