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| Tags: gravity, revisited, speed |
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#341
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Vern wrote:
Tom Roberts wrote (to TVF) You keep displaying your rather complete ignorance of GR. Perhaps you should actually study the theory before attempting to discuss it. This whole debate hinges on whether motion in GR is due to geometry or whether the equations could also represent the description of a field. There is such a big PUN in there (on "field") it makes whatever you're trying to say either tautological or inconsistent. It was, at first, called a field theory. The geometric interpretation came later. Hmmm. Why is it then that Einstein studied Riemannian GEOMETRY in order to formulate GR? As do all students of GR (except, apparently, TVF). Indeed, Riemannian GEOMETRY is one of the foundations on which GR is built. GR was explicitly geometrical from the beginning. The puzzle is that it is SEMI-Riemannian geometry, and it took a while for the implications of that to be appreciated. And like all other fundamental theories we know today, the Lagrangian density of GR is the curvature scalar of the appropriate manifold. Curvature is inherently and quintessentially geometrical. Just because Tom Van Flandern has a fantasy does not mean you should buy into it. shrug There are (at least) two parts to his fantasy: A) that gravity has been "proven" to travel with speed c, because the combination of the equations of NG and an "interaction speed" of c is inconsistent with observations. The fantasy of this is that there is no such theory, and GR itself is not at all like that. Not even close. Indeed the predictions of GR are in agreement with those experiments, so they are unable to establish that the "speed of gravity" is c. B) that somehow his so-called "field interpretation of GR" can change many of the basic results about GR, such as being not geometrical, and having a "physical" "gravitational force" that propagates with local speed c. The fantasy of this is that interpretations cannot change the equations of the theory, or properties of their solutions. Another aspect is that the analog to "gravitational force" in GR is inherently COORDINATE DEPENDENT -- since coordinates are imaginary inventions of humans, no real physical quantity can possibly be dependent on them. HINT: that's why tensors are so important to physics in general, and to GR in particular. In a very real sense, GR taught this to us. Tom (Roberts) has indicated either that the field version is the same thing as the geometric version, or that there is no field version, there is just a geometric version. This issue needs to settled definitely, as Tom (VanFlandern) is basing his arguments on the field version and Tom (Roberts) is basing his arguments on the geometric version. Not really -- there's no real "issue" here, for people interested in Science. Tom Van Flandern is "basing" his arguments on his personal FANTASY, and on some supposed special knowledge he has of "reality" that tells him how things "actually" work (see my previous post for examples of such claims of his). Note also that GR most definitely _IS_ a field theory: the most important field of the theory is the metric, which describes and determines the geometry (that's how we use those words). [Yes, there is a remarkable correspondence to a theory of spin-2 gravitons, as discussed by Feynman and others. But that is a DIFFERENT theory from GR.] Just because Tom Van Flandern has a fantasy does not mean you should buy into it. shrug Tom Roberts |
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#342
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Pentcho Valev writes:
[Valev]: explain: What is the nature of Halton Arp's "intrinsic redshift"? Ordinary gravitational redshift. -|Tom|- Tom Van Flandern - Sequim, WA - see our web site on frontier astronomy research at http://metaresearch.org |
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#343
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Vern writes:
This whole debate hinges on whether motion in GR is due to geometry or whether the equations could also represent the description of a field. It was, at first, called a field theory. The geometric interpretation came later. Tom (Roberts) has indicated either that the field version is the same thing as the geometric version, or that there is no field version, there is just a geometric version. This issue needs to settled definitely, as Tom (Van Flandern) is basing his arguments on the field version and Tom (Roberts) is basing his arguments on the geometric version. Could a referee be used to pose this question to, to settle the debate? The "debate" consists of observations, experiments, reasoning, and citations I've used, against unbacked opinions Tom Roberts has used. I'm not sure what more you might want to see to make up your mind. As to whether where is a field version or not, does Nobel Laureate Richard Feynman count as a knowledgeable physicist? In Feynman Lectures on Gravitation, R.P. Feynman, Addison-Wesley, New York (1995), Section 8.4, p. 113, he says: "It is one of the peculiar aspects of the theory of gravitation, that it has both a field interpretation and a geometrical interpretation. ... the fact is that a spin-two field has this geometrical interpretation: this is not something readily explainable -- it is just marvelous. The geometrical interpretation is not really necessary or essential to physics." As to whether the geometric interpretation is the same as the field interpretation or not, yhe two are essentially the same mathematically, but not the same in the underlying physics. My paper with J.P. Vigier argued that the geometric interpretation is now falsified on physical grounds because it provides no cause to initiate new 3-space motion and no source for the new momentum. This passed three referees at the journal, not to mention hundreds of readers who have written about various aspects of the article in the six years since it appeared. The point is important. If a small body is at rest in a gravitational field, "curvature" of anything cannot make it begin to move. It will just stick there on the side of a potential hill forever, until a force acts. The "rubber sheet" analogy only works in our imaginations because we imagine gravity under the rubber sheet making the small body start to roll. But if there is no gravitational force, just curvature, then the small body cannot start to move because there is no preferred direction for it to move in, and no momentum being added to it. The geometric interpretation fails precisely because it has no forces in it. -|Tom|- Tom Van Flandern - Sequim, WA - see our web site on frontier astronomy research at http://metaresearch.org |
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#344
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On Sep 26, 9:24*am, "Tom Van Flandern" wrote:
Pentcho Valev writes: [Valev]: explain: What is the nature of Halton Arp's "intrinsic redshift"? * * Ordinary gravitational redshift. -|Tom|- Tom Van Flandern - Sequim, WA - see our web site on frontier astronomy research at http://metaresearch.org OK that is a reasonable explanation. Then we remember how the frequency varies with the gravitational potential V (experimentally confirmed by Pound and Rebka): f'=f(1+V/c^2) We also remember the formula: frequency = (speed of light)/(wavelength) and we ask: Does the speed of light vary with the frequency, in accordance with Einstein's 1911 equation c'=c(1+V/c^2), or is it the wavelength that varies with the frequency (as half of today's Einsteinians claim)? If Einstein's 1911 equation is correct, then perhaps light leaves the gravitational field of the emitting body, continues its journey and in the end reaches the observer having a reduced speed all along? Pentcho Valev |
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#345
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Tom Roberts writes:
[Roberts]: in the domain where NG is valid (e.g. here on earth, most of the solar system), the predictions of GR and NG are experimentally indistinguishable. [TomVF]: So you agree that in most of the solar system, GR is experimentally indistinguishable from NG, a theory with infinite force propagation speeds that gives strongly spiral orbits if the force propagation speed is reduced as low as c? [Roberts]: Why do you keep bringing up a FANTASY theory? There _IS_ no such theory as "NG with force propagation speed reduced as low as c". As even you know, the propagation speed of gravitational force in Newtonian gravity (NG) is infinite. And as every student of celestial mechanics knows, when the propagation speed is reduced in NG (with no other changes), orbits become open spirals instead of closed ellipses. There is no shame in the fact that you are totally unfamiliar with celestial mechanics. No one knows everything. But there is shame in your making false statements that pretend you know something about celestial mechanics when in reality you do not. And you make yourself look pompous and uneducable to everyone reading this who does know a little celestial mechanics. The original point is that it is impossible to have a system in which gravity is the only operating force, yet have that force propagate at less than infinite speed and still have closed orbits. Therefore, when relativists say that GR reduces to NG in the weak-field, low-velocity limit, there are only two possibilities: (1) the claim is false; or (2) GR becomes a theory with infinite force propagation speed in the weak-field, low-velocity limit. Kindly recall the definition of "force" in 3-space so we don't just play word games. [Roberts]: In GR, nothing that carries energy, momentum, or information can travel faster than c. This is a rigorous result based on the structure of the ACTUAL THEORY. That *belief* of yours is definitely NOT a rigorous result based on the structure of the actual theory, and you cannot defend such a claim that it is. I have shown repeatedly in my papers that there are two versions of the relativity of motion with the same mathematics: special relativity (SR) and Lorentzian relativity (LR). GR was supposed to based on SR, but in reality is based on LR. The difference is that, in SR, the Lorentz transformations apply both ways between any two inertial frames, whereas in LR they apply only one way, from the local gravitational potential field frame to the frame with a relative motion. GR uses the Lorentz transformations only one way, so it is based on LR rather than SR. SR has the speed limit you describe, whereas LR does not. And that is where the "rigor" in your claim fails. Even if what I just said contained some not-yet-identified error, it is still a fact that LR explains all the same experiments as SR and has never been falsified. So there is no longer reason to believe that the speed of light is any more of a universal speed limit than the sound barrier proved to be. [Roberts]: As I keep saying, GR itself has no "propagation speed" for gravity. You are playing word games. Our discussion is about physics, not math; so our context is 3-space, the physical reality in which astronomers make observations. In 3-space, the definition of "force" is the time rate of change of momentum, where momentum is the product of mass and the velocity vector. The "velocity vector" producing the momentum change is the propagation speed and direction of the force that causes an orbiting target body to orbit, continually changing its momentum. Let's stick to reality, not some mathematical fantasy "4-space" world. All kinds of weird things can be claimed of 4-space, but many of them have no counterparts in the real, observable, testable 3-space world. [Roberts]: But if you really want to consider that speed, you can look at the linearized APPROXIMATION to GR. In this approximation, the equations of motion are solvable with a Green's function that clearly involves the source at a retarded time. As in electrodynamics, this is easily interpreted as "gravity propagating with speed c". More word games. No one disputes that changes in the gravitational potential field propagate at speed c. This has nothing to do with ordinary gravitational force that causes elliptical orbits. It relates only to light-bending, perihelion advance, and other small (c^-2) GR effects that arise from the potential field (or whatever you want to call it in 4-space). [Roberts]: for any situation in which that extrapolated position is indistinguishable from the instantaneous position of the source, the two theories (NG and this approximation to GR) give indistinguishable results. I see. If you don't want to answer, just change the question. However, I was talking about simple orbital motion of a very small target body around a fixed source mass. The instantaneous and retarded source positions of the source mass are well-distinguished for target bodies with ordinary solar system speeds. Yet the only way to predict the correct orbits is with zero retardation of gravitational force in both theories. So your dilemma remains, even if you are in denial about it. [Roberts]: the reason you are so confused is quite simple: you use your FANTASY theory (i.e. NG with finite speed of propagation), rather than the actual equations of GR, or the actual equations of this approximation. Everyone but you seems to know about NG with force propagation speed reduced. Why is that? [TomVF]: Why has no one anywhere in physics attempted to do an experiment to learn if the force between *accelerating* charges propagates at speed c or faster? [Roberts]: There have been literally ZILLIONS of experiments that show that the speed of radio waves is c. They are detected by the electromagnetic forces on the charge carriers of the receiving antenna, generated by the accelerating charge carriers in the transmitting antenna. If you have no answer, you just change the question. And play word games while doing so. There are no Coulomb forces in radio waves. All electromagnetic waves travel at speed c. Coulomb forces (a type of electro-*dynamic* force) propagate c. [TomVF]: It's a pretty important matter, and many physics texts read as if the experiment was done and the result is known. [Roberts]: Yes. It is. I was talking about reproducing the Sherwin-Rawcliffe experiment showing that the Coulomb force between charges propagates faster than c. You didn't like answering that challenge, so you switched to radio waves and answered a totally different question. Is this "change the question" tactic working for you? I doubt it is fooling any of our readers. [Roberts]: There is no "interaction speed" anywhere in either the equations of GR, in their derivation, or in their solution(s). This is so because there is no "interaction" -- gravity is geometry in GR, and the source mass/energy and the geometry evolve in a coordinated manner (as described by Einstein's field equation). Any test particle responds to its local geometry, not to any sort of "interaction" with the source mass/energy. The geometric interpretation of GR is now off the table precisely because it invokes just such magical, causeless effects as you describe. In 3-space, curvature alone cannot initiate motion in the absence of a force. And the force must be causally connected to the source mass. [Roberts]: You keep displaying your rather complete ignorance of GR. Perhaps you should actually study the theory before attempting to discuss it. Hmmm. This thread is displaying lots of ignorance. I back up my statements with observations, experiments, logical arguments, and/or citations. You simple bluster on and hurl insults. Is *that* working for you? [Roberts]: at each and every point in the manifold the value of the metric depends ONLY on the values of the metric and the energy-momentum tensor in an infinitesimal neighborhood of the point in question within its past lightcone. This is what differential equations are, and "causality" in GR limits the dependence to the past lightcone. You are thinking only of the math. In physics, something must contact something else to produce any action. If the action source or cause is as you describe, but the action target is moving, that necessarily affects the resultant direction of the action. If you deny this basic physics, you are the one in fantasyland. If you accept it, then it follows that the resultant direction of the action is affected by the retarded direction of the source, which is why angular momentum cannot be conserved if the retarded direction is confined to the lightcone. [Roberts]: Do not babble on about "interpretations" of GR. That is just more of your fantasy. Well, I cited Einstein, Dirac, and Feynman as sharing my "fantasy". Who do you have in your corner? [Roberts]: And I point out that here you make reference to "basic physics" when you really mean "God" or "TVF's personal channel to God", or "TVF's personal channel to 'reality'", or some such. Those of us doing science can only understand reality through formulating and testing physical theories. I advocate "no effects without a preceding cause" and "no creation (of new momentum) from nothing". You advocate that both should be allowed. My principles require no miracles. Yours are both miracles. So which of us must have a "personal channel to God"? Congratulations. :-) [Roberts]: You have a direct channel to "reality"???? Uh . yes. It is called observation, experiment, and reasoning. [Roberts]: The rest of us are limited to interpreting reality via THEORIES. We all do. But some of us constrain our theories to those that are physically possible (i.e., require no miracles), and some of us do not. That is what led Michael Kroyter to quip: "Physics is about everything one can see, hear or think about in the whole world. Mathematics is about everything!" [Roberts]: the analog to "gravitational force" in GR is inherently COORDINATE DEPENDENT -- since coordinates are imaginary inventions of humans, no real physical quantity can possibly be dependent on them. HINT: that's why tensors are so important to physics in general, and to GR in particular. In a very real sense, GR taught this to us. This belief in "covariance" (coordinate independence) is charming but unscientific. Newtonian gravitation is coordinate-dependent, yet this poses no problems for doing orbital mechanics or comparing theory with observations. There is no law of physics saying that reality must be covariant, and the argument that "no physical quantity can possibly be dependent on them" is specious. We use convenient coordinate systems all the time for making measurements. What you should have said is that the comparison of theory with observations should not be dependent on the choice of coordinates. But it isn't anywhere in physics, even long before GR and the idea of covariance were conceived. It is really the first postulate of SR that led to the belief that reality was covariant because the second postulate, the invariance of the speed of light with coordinate frame, required it. But with SR now falsified in favor of LR, what we have learned is that reality is not covariant in the SR/GR sense. The idea that it is was a bad one, and has led to much of the conflict between GR and QM, which is now resolved by dropping covariance and the notion of a universal speed limit. [Roberts]: At present, the best theory of gravitation we have is General Relativity. You should learn about it. It does NOT have the structure you keep claiming. You would probably enjoy learning about the physics behind GR, as most people do when first exposed to it via works such as the 20-author "Pushing Gravity" treatise. But sadly, you seem to have no interest in learning about the interface between your beloved mathematical GR model and the real world. [Roberts]: There's no point in continuing. I am interested in science, not the personal religion you keep trying to discuss. You phrase your religion using the words of physics, but you do not understand the nature of physics. Or science. Or modern theories of physics, such as GR. Like all too many other crackpots around here, you do not bother to understand the subject you have devoted a major part of your life to. That's rather sad.... Hold up a mirror. I ask again, where are your publications, what are your qualifications to make your claims, and what can you mention in support of anything you have said? But you just ignore my main points and challenges here and in my previous messages, which leaves you invincibly ignorant. Sad indeed. -|Tom|- Tom Van Flandern - Sequim, WA - see our web site on frontier astronomy research at http://metaresearch.org |
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#346
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Tom Van Flandern wrote in message
[snip] Hold up a mirror. Yes: http://www.metaresearch.org/solar%20...iles/proof.asp I ask again, where are your publications, what are your qualifications to make your claims, and what can you mention in support of anything you have said? But you just ignore my main points and challenges here and in my previous messages, which leaves you invincibly ignorant. Creep movie: http://www.youtube.com/watch?v=Qo0mSKd9HeM Dirk Vdm |
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#347
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On Mon, 22 Sep 2008 (PDT), Vern wrote:
This whole debate hinges on whether motion in GR is due to geometry or whether the equations could also represent the description of a field. No, this "debate" (not quite an accurate term, but mind) does not hinge on the well-known fact that the field equations of general relativity have a field interpretation in flat spacetime. The reason nothing "hinges" on this fact is simply that the distinction has no empirical consequences. When there are empirical differences between to sets of ideas, they are said to represent two different theories, whereas when there are no empirical differences, they are said to be two interpretations of the same theory. Tom van Flandern is a charlatan, because he tries to fool people by first saying he is talking about another interpretation of some empirically successful theory (such as special or general relativity), thereby claiming that his ideas pass all the empirical tests of that successful theory, and then he immediately turns around and claims different empirical predictions for his interpretation, disagreeing with the predictions of the successful theory. In this he is simply lying. The Lorentzian interpretation of special relativity is empirically indistinguishable from special relativity (in terms of limiting speeds, etc), and the field interpretation of general relativity is empirically indistinguishable from the geometric interpretation. (Some people would argue that the geometrical interpretation has the potential to accommodate certain global phenomenological topologies that would be difficult to map to the field interpretation in flat spacetime, but this is debatable, and in any case has no bearing on Tom van flandern's idiocies.) |
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#348
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On Sep 26, 12:11 am, "Tom Van Flandern"
wrote: snip Read Sam Hay's post and go away. For good. |
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#349
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#350
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On Sep 26, 7:23 am, "Dirk Van de moortel"
wrote: Dono wrote in message On Sep 26, 12:11 am, "Tom Van Flandern" wrote: snip Read Sam Hay's post and go away. For good. Give him a break. The guy has to make a living somehow, right? Dirk Vdm by lying? he's been doing it for years, time to retire :-) |
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