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| Tags: gravity, revisited, speed |
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#291
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On Jul 26, 5:48 pm, Tom Roberts wrote:
Ken S. Tucker wrote: Hi Steve, Tom and all. I can suggest a means of resolution by experiment, but it is complicated so stay with me on the bends. Robert's, somehow you've screwed up your replies below. My post was directed to Tom VvF and Steve Carlip, perhaps having an extra Tom messed things up. From now on it's Tucker, Carlip, Flandern, Roberts etc. Anyway I'm a GRist on this issue and generally agree Carlip. Actually, it isn't complicated at all, and HAS ALREADY BEEN DONE. Not to our knowledge Roberts, cite a specific experiment or measurement - as I suggested - to distinguish the speed of gravity from oo, that's what the fella's need. Regards Ken S. Tucker PS: I'll leave in Robert's pontifications below...but Robert's don't do that to us again. The key is to realize that science is the process of testing theories, not attempting to "measure" some nebulous "speed of gravity" that depends in detail on one's model. The actual observations for EVERY ONE of the experiments TvF cites are in accord with the predictions of GR (there is also agreement with other models and theories, but that is not at issue here). The proper way to do science and compare theory to experiment is to select a theory and use it to compute the same quantities that are observed, and then compare the theoretical computations ("predictions") to the actual measurements. Instead, TvF insists on taking the observations, computing some model-dependent theoretical quantity ("speed of gravity") from them, and then comparing the result to theories. THAT IS NOT SCIENCE. The reason his method is invalid is that it is KNOWN to lead to erroneous conclusions (there are additional difficulties related to error analysis). So when he says "binary pulsars prove that when the source mass accelerates (as in Steve's example), the target body responds almost instantly", you should recognize: a) the observations do not MEASURE such a "response", they only observe signals from the distant pulsars, b) those signals are in agreement with the predictions of GR for such a system, and c) the source NEVER accelerates "as in Steve's example", the two objects merely orbit each other. In GR, the "response" is delayed by a time L/c, but TvF simply does not understand that in GR the acceleration does not point at the retarded position of the source, it points at the EXTRAPOLATED retarded position of the source mass (i.e. extrapolated from its retarded position). For every physical situation he considers, this extrapolated position is indistinguishable from the instantaneous position. When Steve presented a physical situation for which they are distinguishable, TvF dismissed it as "irrelevant". The issue of this thread is TvF's claims that he is using GR, when in fact his claims are at odds with the underlying structure of GR [#], and he displays in every post a rather complete ignorance of GR. And, of course, he has never done the computation in GR (or in an appropriate approximation to GR). [#] In GR, nothing that carries energy, momentum, or information can travel with local speed c relative to any locally-inertial frame. TvF's "speed of gravity" would violate this, IF IT WERE GR. He is wrong, because he is not actually applying GR. That is Steve's point, and mine. Tom van Flandern wrote: The force propagation speed (the "speed of gravity") is much faster than the speed c at which the physical field can change in response to changes in the force. Hmmm. It's not clear how "force" can "propagate" independent of the "physical field" in a field theory such as GR. But no matter, let's stick to the subject: If what you say is true, then it cannot be possible that all these statements are true: A) the "field interpretation" is indeed GR. B) the "gravitational force" in the "field interpretation" carries energy and momentum (i.e. it can transfer them from one object to another). C) Low's paper has no error, and neither does Carlip's and the zillions of other papers and textbooks. Indeed, it is rather clear that your statement is false, because you make an unacknowledged and implicit assumption that is false: that "gravitational force" is central (i.e. points directly at the source). In the appropriate approximation to GR in which there is a gravitational force, this is not true. So when we say "force is the gradient of potential", the geometric interpretation of GR simply assumes that the gravitational potential field, as described by the Einstein field equations, governs; and that a gradient in that field causes a force. YOU might assume that because you clearly do not understand the geometry of GR, but no GR expert would do so. The "geometric interpretation of GR" makes no such assumptions, because it has no "gravitational potential" or "gravitational force". In the situations you consider, objects follow geodesic paths through spacetime, and there is no "force" on them at all (that's what "geodesic path" means). Please don't confuse this with a planet's path through space (as you have done before). Yes, the path of a planet in 3-space is not a geodesic in space. But it _IS_ a geodesic in spaceTIME (assuming the planet is small enough that its effect on the geometry can be neglected). For instance, the earth follows a helix through spacetime centered on the sun, with a radius ~8 light minutes and a period of one light year; this deviates from a straight line by a few parts per million, consistent with the curvature induced by the sun's gravitation (I'm neglecting small stuff). The axis of this helix is parallel to the time axis of local Minkowski coordinates in which the sun is at rest. the geometric interpretation of GR is no longer viable because it violates physical principles. Nonsense. It obeys DIFFERENT "physical principles" than you want to accept. That's all. This is YOUR problem, not GR's or any "geometric interpretation's". So we are forced to adopt the other physical interpretation, that gravitational force induces a gradient into the gravitational potential field. We are not "forced" to do that at all -- on a geodesic path there is no "force" at all (it's your PUN, not mine). All you ever do is show that the basics of GR are incompatible with your closely-held beliefs about "physical principles", and that you don't really understand GR. Both are YOUR problem. [Roberts]: The problem is: your model is inconsistent with "gravitational force" propagating at speed c; but the appropriate approximation to GR is not inconsistent with that, nor is GR itself. That statement is flatly wrong. You really need to get yourself straightened out about that point. Ask Steve Carlip or anyone who knows relativistic dynamics. No model that has gravitational forces propagating at speed c can reproduce the orbital motions of the planets. The basic problem is that we use different words and phrases, and have different sets of implicit assumptions. Note that Steve Carlip discusses ACCELERATION of the target object, not "force", and he discusses a DELAY in the effects of stopping the source, not a "propagation speed" of anything from source to target. His word choice is much better than yours, as it is significantly more precise (but is still subject to the implicit assumptions listed below). A major part of his and my disagreement with your claims are several implicit assumptions (Steve's computation has no need for these, but the discussion uses all of them): A) fields are weak and there is an obvious "background" Minkowski coordinate system to use. B) quantities such as time, position, velocity, acceleration, and direction are referenced to the coordinates of (A). C) the acceleration of a target body is in the same direction as any "gravitational force" on that body, at every instant. D) if any gravitational influence propagates from source to target, then the speed of propagation is the ratio of the distance between them to the delay between changes in the source's motion or position and the effect on the target's motion, with all quantities measured in the coordinates of (A). [Note that the acceleration of (C) is nonzero, even though in GR there is no "gravitational force" and the 4-acceleration of the target body is zero. See (B).] Steve's computation clearly shows that with these assumptions, in GR the speed of (D) is c, not c. There is no interpretation in his computation, and the only interpretations required to relate its result to this discussion are listed above. Now consider the physical situation you consider: two isolated objects in mutual orbit. While I know of no exact computation, I believe there are computations in an approximation to GR that have the same basic features of Steve's computation: the acceleration of one object points toward the EXTRAPOLATED retarded position of the other object. This is a counterexample to your claim "No model that has gravitational forces propagating at speed c can reproduce the orbital motions of the planets." And this also explains how it is that you can be deluded into thinking the "speed of gravity" is c -- for the physical situations you consider, the EXTRAPOLATED retarded position is experimentally indistinguishable from its instantaneous position (using suitable coordinates, as above). Tom Roberts |
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#292
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"Ken S. Tucker" wrote in message ... On Jul 26, 5:48 pm, Tom Roberts wrote: Ken S. Tucker wrote: Hi Steve, Tom and all. I can suggest a means of resolution by experiment, but it is complicated so stay with me on the bends. Robert's, somehow you've screwed up your replies below. My post was directed to Tom VvF and Steve Carlip, perhaps having an extra Tom messed things up. From now on it's Tucker, Carlip, Flandern, Roberts etc. Anyway I'm a GRist on this issue and generally agree Carlip. Actually, it isn't complicated at all, and HAS ALREADY BEEN DONE. I see that Tom is still using capitals to provide emphasis even when it is almost always interpreted by the general reader as yelling. I wonder if Tom actually cares about things like how people feel about caps!? Nah. ![]() Pete |
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#293
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On Jul 26, 8:05 pm, "Pmb" wrote:
"Ken S. Tucker" wrote in ... On Jul 26, 5:48 pm, Tom Roberts wrote: Ken S. Tucker wrote: Hi Steve, Tom and all. I can suggest a means of resolution by experiment, but it is complicated so stay with me on the bends. Robert's, somehow you've screwed up your replies below. My post was directed to Tom VvF and Steve Carlip, perhaps having an extra Tom messed things up. From now on it's Tucker, Carlip, Flandern, Roberts etc. Anyway I'm a GRist on this issue and generally agree Carlip. Actually, it isn't complicated at all, and HAS ALREADY BEEN DONE. I see that Tom is still using capitals to provide emphasis even when it is almost always interpreted by the general reader as yelling. I wonder if Tom actually cares about things like how people feel about caps!? Nah. ![]() Pete Hi Pete. I don't give a rat's ass about caps, I think it was an oversight on Roberts part...no big deal. It's the Sun's tidal semi-major axis induced into the Earth orbiting objects that concerns me. I think the geodesy of GP-b should be accurate enough to tickle out that semi-major. If so, which way will it point? Toward the Newtonian position of the Sun? or Toward the Apparent position of the Sun? Those angles differ by a mere 20 arc secs. I predict the Apparent. Regards Ken S. Tucker |
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#294
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On Jul 26, 8:50*pm, "Pmb" wrote:
----------------------------- I asked you where I could get a copy of your book. I'd love to read it. Pete Hi, Pete Thank you for your interest! My book is still work in progress but you can get chapters online he http://physics-quest.org Regards, Hans |
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#295
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Hi Pete and Hans.
On Jul 27, 6:42 am, wrote: On Jul 26, 8:50 pm, "Pmb" wrote: ----------------------------- I asked you where I could get a copy of your book. I'd love to read it. Pete Hi, Pete Thank you for your interest! My book is still work in progress but you can get chapters online hehttp://physics-quest.org Regards, Hans Hans has an excellent diagram 16.1 I've been studying, Pete, how about rendering an opinion. Ken |
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#296
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Ken S. Tucker wrote:
On Jul 26, 5:48 pm, Tom Roberts wrote: [...] cite a specific experiment or measurement - as I suggested - to distinguish the speed of gravity from oo, READ WHAT I WROTE, and you'll see that measuring "speed of gravity" is NOT physics. Physics, and science in general, is testing theories -- let engineers measure things. "Speed of gravity", as TvF uses it, is not directly measurable. He applies some model to the measurements to DEDUCE what he thinks the "speed of gravity" is. The result is model dependent, and is at base IRRELEVANT -- what matters is whether or not the underlying model is valid. GR is valid for all the experiments he cites, and none of them refute GR. That's what I meant by "this has already been done" -- ALL of the experiments TvF cites have been performed already, and verified to be consistent with the predictions of GR. Tom Roberts |
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#297
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On Jul 27, 9:06 pm, Tom Roberts wrote:
Ken S. Tucker wrote: On Jul 26, 5:48 pm, Tom Roberts wrote: [...] cite a specific experiment or measurement - as I suggested - to distinguish the speed of gravity from oo, READ WHAT I WROTE, and you'll see that measuring "speed of gravity" is NOT physics. Read ENOUGH thanks Ken |
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#298
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On Jul 28, 12:06 am, Tom Roberts wrote:
Ken S. Tucker wrote: On Jul 26, 5:48 pm, Tom Roberts wrote: [...] cite a specific experiment or measurement - as I suggested - to distinguish the speed of gravity from oo, READ WHAT I WROTE, and you'll see that measuring "speed of gravity" is NOT physics. Physics, and science in general, is testing theories -- let engineers measure things. "Speed of gravity", as TvF uses it, is not directly measurable. He applies some model to the measurements to DEDUCE what he thinks the "speed of gravity" is. The result is model dependent, and is at base IRRELEVANT -- what matters is whether or not the underlying model is valid. GR is valid for all the experiments he cites, and none of them refute GR. That's what I meant by "this has already been done" -- ALL of the experiments TvF cites have been performed already, and verified to be consistent with the predictions of GR. Tom Roberts |
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#299
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On Jul 28, 12:06 am, Tom Roberts wrote:
Ken S. Tucker wrote: On Jul 26, 5:48 pm, Tom Roberts wrote: [...] cite a specific experiment or measurement - as I suggested - to distinguish the speed of gravity from oo, READ WHAT I WROTE, and you'll see that measuring "speed of gravity" is NOT physics. Physics, and science in general, is testing theories -- let engineers measure things. When you push your car, it pushs back *instantly*. Is that not measurable? Was Newton practicing alchemy when he stated his third law? On the Machian Origin of Inertia http://arxiv.org/abs/physics/0609026 The Origin of Gravity http://arxiv.org/abs/physics/0107015v6 Sue... "Speed of gravity", as TvF uses it, is not directly measurable. He applies some model to the measurements to DEDUCE what he thinks the "speed of gravity" is. The result is model dependent, and is at base IRRELEVANT -- what matters is whether or not the underlying model is valid. GR is valid for all the experiments he cites, and none of them refute GR. That's what I meant by "this has already been done" -- ALL of the experiments TvF cites have been performed already, and verified to be consistent with the predictions of GR. Tom Roberts |
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#300
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On Jul 27, 6:13*pm, "Ken S. Tucker" wrote:
Hi Pete and Hans. Hans has an excellent diagram 16.1 I've been studying, Pete, how about rendering an opinion. Ken That's from chapter 16 on the Hamiltonian and Lagrangian densities: http://physics-quest.org/Book_Chapter_Lagrangian.pdf There's a significant update on the derivation of the Lienard-Wiechert E & B fields demonstrating that the E field points towards the extrapolated position instead of the retarded position. http://physics-quest.org/Book_Chapte...rentzContr.pdf With 2 illustrations added and improvements to make it better accessible. see sections 2.8--2.11 Regards, Hans http://physics-quest.org |
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