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| Tags: gravity, revisited, speed |
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#81
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On Apr 7, 11:50 pm, Eric Gisse wrote:
On Apr 7, 9:19 pm, Koobee Wublee wrote: The whole paper is promoting mysticism which equates to wisdom in the general knowledge of GR. It starts out spreading the myth "It is well known that in the limit of small perturbations, such disturbances travel along null geodesics, and so gravitational waves travel at light speed." Of course kooby thinks otherwise, but damned if he can prove it. Prove what? Prove mysticism? Well, shrug And then, of course, the "warp drive" is the central theme. Awwwww guess who failed to even read the abstract! Hint: you. Guess who has not read the paper? Hint: you. shrug I know there is an actor named Rob Lowe, and he should be much closely related to the "warp engines" of Startrek. It is sad that after failing miserably with the aberration in gravity to nullify the speed of gravity, you are resorting to Hollywood to resolve your issues. With the speed of gravity being infinite, there is no hope for GR. Thus, are you getting desperate or something? Unless this is your April fool day joke which you are only a week behind. shrug |
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#82
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On Apr 7, 11:34*pm, Koobee Wublee wrote:
On Apr 7, 11:50 pm, Eric Gisse wrote: On Apr 7, 9:19 pm, Koobee Wublee wrote: The whole paper is promoting mysticism which equates to wisdom in the general knowledge of GR. *It starts out spreading the myth "It is well known that in the limit of small perturbations, such disturbances travel along null geodesics, and so gravitational waves travel at light speed." Of course kooby thinks otherwise, but damned if he can prove it. Prove what? *Prove mysticism? To people who can't learn, I suppose something as complex as general relativity would appear to be mysticism. Well, shrug shrug indeed - your stupidity is not my problem. And then, of course, the "warp drive" is the central theme. Awwwww guess who failed to even read the abstract! Hint: you. Guess who has not read the paper? *Hint: *you. *shrug The central theme isn't warp drive, idiot. Read the paper. I know there is an actor named Rob Lowe, and he should be much closely related to the "warp engines" of Startrek. It is sad that after failing miserably with the aberration in gravity to nullify the speed of gravity, you are resorting to Hollywood to resolve your issues. *With the speed of gravity being infinite, there is no hope for GR. *Thus, are you getting desperate or something? Unless this is your April fool day joke which you are only a week behind. *shrug |
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#83
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carlip-nospam wrote on Mon, 07 Apr 2008 20:39:10 +0000:
Tom Van Flandern wrote: "Tom Roberts" writes: [Roberts]: For those unwilling to wade through the umpteenth time this has been discussed, here is the bottom line: ... None of the experiments Van Flandern cites refute GR ... I am sorry you can't keep your correspondents straight. For the umpteenth time, I agree with GR as a mathematical theory. Nothing I've said here is in any way a refutation of GR. There is a rigorous proof, using the full Einstein field equations (and not just a low-order approximation that can hide the underlying structure), that gravitational influence propagates at the speed of light: Robert J Low, "Speed Limits in General Relativity," Class. Quant. Grav. 16 (1999) 543, http://arxiv.org/abs/gr-qc/9812067. If you really "agree[d] with GR as a mathematical theory," the argument would be over. Claiming that to be a rigorous proof "that gravitational influence propagates at the speed of light" may be some kind of joke. At the one hand, that 'rigorous proof' is ignoring the difficulties associated to the use of only retarded (or only advanced) sources. At the other hand, the 'rigorous proof' uses only local time explicit structure for g_ab missing so one important aspect that the whole proof is invalid. At least people working in electromagnetism corrected their views some years ago. That is one advance. -- http://canonicalscience.org/en/misce...guidelines.txt |
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#84
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Ken S. Tucker wrote on Sun, 06 Apr 2008 13:28:48 -0700:
The below guidelines will be updated, eliminating the point "use a plain language". To what, "use unplain language", join the crowd! Regards Guidelines updated. Also i am not longer following open threads at this newsgroup. I mainly will post the recent research advances in spr and spf. This will include recent papers proving that speed of gravity is not c and why the usual GR theorems and proofs are incorrect with clarification of *what* is being mesaured to travel at c. Maybe I will submit some informative message to this group but discussion would be followed in moderated spr and spf. -- http://canonicalscience.org/en/misce...guidelines.txt |
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#85
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Hi Juan.
On Apr 8, 11:29 am, "Juan R." González-Álvarez wrote: Ken S. Tucker wrote on Sun, 06 Apr 2008 13:28:48 -0700: The below guidelines will be updated, eliminating the point "use a plain language". To what, "use unplain language", join the crowd! Regards Guidelines updated. Also i am not longer following open threads at this newsgroup. I mainly will post the recent research advances in spr and spf. This will include recent papers proving that speed of gravity is not c and why the usual GR theorems and proofs are incorrect with clarification of *what* is being mesaured to travel at c. Maybe I will submit some informative message to this group but discussion would be followed in moderated spr and spf. Ok, I thought I'd post this (below) as a demonstration of how the Equivalence Principle is calculated in rotating CS's, but if you not interested, please do not read it. It's very complicated. Best to you. Ken S. Tucker Speed of Gravity Theory. According to Newton the Speed of Gravity (Gs) is infinite. Fig.1 shows the balance of the g-force and centrifugal force and looks like, Centrifugal Acceleration /|\ | | | --------(E)----- Orbital Direction of Earth | (Circular orbit) | | \|/ Solar Gravitational Acceleration Fig.1 ...................(S) Where (E) is the Earth and (S) is the Sun. According to Einstein's GR, Gs=c, hence the acceleration vector is directed toward the apparent (aberated) position of the sun (s) as in this Fig.2 ((seeing is believing))... Centrifugal Acceleration /\ / / / ----(E)----- Orbital Direction of Earth / (Circular orbit) / / \/ Solar Gravitational Acceleration Fig.2 ............ (s) (S) .........image^ IMO, the centrifugal acceleration is directly opposite the g-acceleration, as shown in Fig.2. This is based on the Principle of Equivalence, whereby the gravitational acceleration and the inertial acceleration (centrifugal in this example) precisely balance to produce a "freefall", so that no acceleration can be detected on Earth due to the sun's gravity. A common misconception is to align the acceleration vectors on (E) as in Fig.3 Centrifugal Acceleration /|\ | | At | -----------(E)----- Orbital Direction of Earth / (Circular orbit) / / \/ Solar Gravitational Acceleration Fig.3 (s) (S) This unbalanced gravitational and centrifugal acceleration would produce a residual acceleration and velocity accumulation "At" in the direction of orbital velocity if it were true, and would lead to a gross failure of Energy conservation as well as a sense of acceleration on Earth, this doesn't happen. But we now have a situation that needs to be explained in terms of GR, specifically the introduction of oblique X-Y axes relating the sun's image and Earth as in Fig.4a, Y-axis /\ / / / --------(E)----- X-axis / / / \/ (s) Fig.4a Of course, it follows, if the direction of Earth's velocity around the Sun were to reverse then the X-Y axes obliqueness would also reverse and produce Fig.4b, Y-axis /\ \ \ \ ----(E)---- X-axis \ \ \ \/ (s) Fig.4b Mathematically, a unit vector e1 on X and e2 on Y produces the following results, (assuming V=dx/dt when y=r), Fig 4a g12 = e1.e2 = -V/c (set c=1) Fig 4b g'12 = e'1.e'2 = -V' and g12 = -g'12 because V = -V' . (Eqs.1) This understanding of the non-orthogonality of the X-Y axes is adequate to solve the speed of gravity problem, but it does not address magnetism. For example let's be more clear on the definition of rotational velocity V. Set the rotational velocity defined wrt an inertial system to, V12 = (x1/r)*(dx2/dt) - (x2/r)*(dx1/dt) where x1 == x and x2 == y, then V12 = - V21. One can see g12 == V12 but g12 = -V21 At this point *I presume* V12 defines g12 and thus g12 is anti-symmetrical and, of course, non-orthogonal. In view of this developement, we might liken the anti- symmetrical portion of g12 to the EM field tensored by the magnetic force q*F12 as an asymmetrical stress on the spacetime field. I think anyone who has played with a pair of bar magnetics has noticed weird attactions and repulsions as these magnetics twist in relative orientation. Aside from exotic theory, the medium connecting these bar magnetics is only a spacetime field. Suppose the earth is in a circular orbit around the sun, (xy plane), with an orbital speed V, then we should expect an aberration of V/c in the apparent postion (image) of the Sun. The aberration of light (and gravity when gravity is postulated to be directed at the apparent position of the Sun as GR suggests) is given by, g12 = (y/r)*(dx/cdt) - (x/r)*(dy/cdt). With x=r and y=0, g12 = -dy/cdt, and describes clockwise motion. If x=-r then g12 = dy/cdt and is also clockwise motion, (anti-clockwise motion is given by g21=-g12). The term -dy/cdt is equal to (orbital velocity)/c, = -V/c, and accounts for aberration of light and gravity, and g12 (and g21) account for revolution in either direction. The quantity g12 is defined by the relation (aberration) of light signals from the sun to the earth, and so can be regarded as a component defining a relating spacetime metric. The Earth and Sun remain the same distance apart therefore, du^i/ds = 0, where u^i is the relative 3-velocity. There is no specific need to consider covariancy or contravariancy details for the accuracy required, the coordinate acceleration from the usual geodesic equation (previously linked to in my last post),in direction x can be written (without using "^" and "_"), du1/ds = 0 = -1/2*g11*(g10,0 + g01,0 - g00,1)*u0*u0 Let g11~1 and u0~1, which provides, du1/ds = 0 = 1/2*g00,1 - g10,0 (g10 is considered symmetrical herein.) where 1/2*g00,1 = gravitational acceleration g10,0 = inertial (centrifugal) acceleration. Now lets calculate the coordinate acceleration in the direction y, (these are the aberration terms when x=r and y=0), du2/ds = - 1/2*g21*(2*g10,0 - g00,1) and use g12 = (y/r)*(dx/dt ) - (x/r)*(dy/dt), (c=1) . (since x,y is the orbital plane, for this set-up, g12= - dy/dt = -V and g21 = V). Break out the following, Aberrated gravitation acceleration = 1/2*V*g00,1 (an acceleration in direction y), This is the term that *presumeably* causes the Earth to respond to the aberrated position of the sun, except it is exactly balanced by inertial acceleration. Aberrated centrifugal acceleration = - V*g10,0 (an acceleration equal in magnitude to gravitational acceleration in direction -y) Recall x=r, and the sum of accelerations in the direction 'y' are, du2/ds = 1/2*V*g00,1 - V*g10,0 = 0 These are the equal and opposite terms that nullify the aberrated gravitational acceleration. The above is a transparent example of the Principle of Equivalence demonstrated using the geodesic equation and including the aberrating effects of the rotational metric (g12). Frankly, I think it's a tribute to Einstein's GR that such a complex problem can be so simplified and easily applied. Ie. applying generally covariant equations (the geodesic) involving gravity, inertia and rotation be expressed more clearly, and applied so directly to find speed of gravity=c. Regards Ken S. Tucker kxsxt8 |
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#86
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Change in mass density changes gravity. Changes in gravity propagate
at the speed of light. Mitch Raemsch |
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#87
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[I'm picking just the main points.]
Tom Van Flandern wrote: "Tom Roberts" writes: ... None of the experiments Van Flandern cites refute GR ... I agree with GR as a mathematical theory. Nothing I've said here is in any way a refutation of GR. As Carlip said, if you really understood what you just said, this argument would be over. Experiments can test theories. They cannot possibly test interpretations of those theories. This is so because the way an experiment and a theory are compared is to take the equations of the theory, apply the experimental setup to them (e.g. as boundary conditions), and use the equations of the theory to predict (compute) the values that the experimental detectors measure. Nowhere in that is any interpretation of the equations used. The experiments have said NOTHING WHATSOEVER about whether or not the "geometrical interpretation" [#] of GR is valid. The experiments have said that the EQUATIONS of GR are valid (for their specific measurements). [#] This is not really an "interpretation" as the word is normally used in science, because in GR the geometry is DYNAMIC, and this is fundamental to the theory. TVF does not realize this, because in the APPROXIMATION he uses this aspect of the theory has been approximated away. [...]orbital motion represents a force by definition of the word. That is just plain wrong. Here is how you can see that it is wrong: try to describe how one could MEASURE the "gravitational force" on an orbiting satellite. If you cannot do that, you cannot define "force" this way. And you CLEARLY cannot do it (if anyone had ever done it, GR would have been unnecessary, irrelevant, and almost certainly wrong). Note you must measure the force itself, not any geometrical aspects of the physical situation -- that would be geometry, and you're claiming this is not geometry. The field equations and their solutions use the speed of light. But in the step where they are converted to 3-space equations of motion (which are expressions for *gravitational force*), instant force propagation must be assumed because delayed forces, even delays just for changes in forces, lead to total failure of the theory to agree with observations. Ah! There's your problem: you do not understand how approximations work in physics. There is no "must be assumed" in APPROXIMATING (not "converting") the equations of GR to become equations in linearized GR using a background Minkowski frame, because that is PART OF THE APPROXIMATION. Putting in "delayed forces" as you state above, is DOWNRIGHT WRONG. To test GR, one must use the equations of GR, or a valid approximation to them, not some cobbled-together equations into which you put "delayed forces". The linearized GR approximation is well known to give equations in which propagation delays don't appear. You claim these are "expressions for *gravitational force*", but that is really a misnomer -- the MEASUREMENTS do not include a single measurement of "gravitational force". The actual experiments measure GEOMETRICAL ASPECTS of the apparatus (etc.). It simply is not possible to measure "gravitational force", all one can do is measure various effects of such a "force". (If this last were not true, GR could not possibly model gravitation as geometry, without any "gravitational force".) Even standing on a bathroom scale does not measure "gravitational force": it CLEARLY measures an UPWARD force on your body and a downward force on the floor, neither of which can possibly be the attractive force of gravity. But the real challenge is to measure "gravitational force" on an orbiting satellite -- the issue is clearer there. [...] No point in repeating.... Tom Roberts |
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#88
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Tom Roberts wrote in message
[I'm picking just the main points.] Tom Van Flandern wrote: "Tom Roberts" writes: ... None of the experiments Van Flandern cites refute GR ... I agree with GR as a mathematical theory. Nothing I've said here is in any way a refutation of GR. As Carlip said, if you really understood what you just said, this argument would be over. Experiments can test theories. They cannot possibly test interpretations of those theories. This is so because the way an experiment and a theory are compared is to take the equations of the theory, apply the experimental setup to them (e.g. as boundary conditions), and use the equations of the theory to predict (compute) the values that the experimental detectors measure. Nowhere in that is any interpretation of the equations used. The experiments have said NOTHING WHATSOEVER about whether or not the "geometrical interpretation" [#] of GR is valid. The experiments have said that the EQUATIONS of GR are valid (for their specific measurements). [#] This is not really an "interpretation" as the word is normally used in science, because in GR the geometry is DYNAMIC, and this is fundamental to the theory. TVF does not realize this, because in the APPROXIMATION he uses this aspect of the theory has been approximated away. [...]orbital motion represents a force by definition of the word. That is just plain wrong. Here is how you can see that it is wrong: try to describe how one could MEASURE the "gravitational force" on an orbiting satellite. If you cannot do that, you cannot define "force" this way. And you CLEARLY cannot do it (if anyone had ever done it, GR would have been unnecessary, irrelevant, and almost certainly wrong). Note you must measure the force itself, not any geometrical aspects of the physical situation -- that would be geometry, and you're claiming this is not geometry. The field equations and their solutions use the speed of light. But in the step where they are converted to 3-space equations of motion (which are expressions for *gravitational force*), instant force propagation must be assumed because delayed forces, even delays just for changes in forces, lead to total failure of the theory to agree with observations. Ah! There's your problem: you do not understand how approximations work in physics. He doesn't even understand how they work in mathematics: http://users.telenet.be/vdmoortel/di...TVFSeries.html We know this since just about 5 years now ;-) Dirk Vdm There is no "must be assumed" in APPROXIMATING (not "converting") the equations of GR to become equations in linearized GR using a background Minkowski frame, because that is PART OF THE APPROXIMATION. Putting in "delayed forces" as you state above, is DOWNRIGHT WRONG. To test GR, one must use the equations of GR, or a valid approximation to them, not some cobbled-together equations into which you put "delayed forces". The linearized GR approximation is well known to give equations in which propagation delays don't appear. You claim these are "expressions for *gravitational force*", but that is really a misnomer -- the MEASUREMENTS do not include a single measurement of "gravitational force". The actual experiments measure GEOMETRICAL ASPECTS of the apparatus (etc.). It simply is not possible to measure "gravitational force", all one can do is measure various effects of such a "force". (If this last were not true, GR could not possibly model gravitation as geometry, without any "gravitational force".) Even standing on a bathroom scale does not measure "gravitational force": it CLEARLY measures an UPWARD force on your body and a downward force on the floor, neither of which can possibly be the attractive force of gravity. But the real challenge is to measure "gravitational force" on an orbiting satellite -- the issue is clearer there. [...] No point in repeating.... Tom Roberts |
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#89
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Tom Roberts wrote on Fri, 11 Apr 2008 15:36:41 -0500:
I imagined this had been all well explained before. The experiments have said NOTHING WHATSOEVER about whether or not the "geometrical interpretation" [#] of GR is valid. The experiments have said that the EQUATIONS of GR are valid (for their specific measurements). None current experiment verifies: a1) gravity is due to spacetime curvature b1) interactions are retarded because same experiments can be explained using a2) gravity like a force b2) instantenous fundamental interactions However, recent experiments and theoretical advances are neither supporting the idea of retarded interactions nor the idea of gravity as geometry. Both (geometry and retardation) are approximated concepts. Thus geoemtric GR is an approximation to a more general description of classical graviational phenomena. try to describe how one could MEASURE the "gravitational force" on an orbiting satellite. If you cannot do that, you cannot define "force" this way. This is done in standard astronomic and celestial mechanics literature. The definition of force is also standard and agrees with standard definitions used on other branches of physics. -- http://canonicalscience.org/en/misce...guidelines.txt |
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#90
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Juan R. GonzĂĄlez-Ălvarez wrote:
I imagined this had been all well explained before. Only if one accepts at face value your claims that most of classical physics is wrong. I have not yet read your references.... In any case, that's not relevant to Van Flandern's mistakes. Tom Roberts wrote on Fri, 11 Apr 2008 15:36:41 -0500: The experiments have said NOTHING WHATSOEVER about whether or not the "geometrical interpretation" [#] of GR is valid. The experiments have said that the EQUATIONS of GR are valid (for their specific measurements). None current experiment verifies: a1) gravity is due to spacetime curvature b1) interactions are retarded because same experiments can be explained using a2) gravity like a force b2) instantenous fundamental interactions Sure. As I said before, experiments cannot distinguish between interpretations like this. [That assumes your second theory is GR in disguise. If not, it merely shows that the two theories cannot be distinguished by these experiments.] However, recent experiments and theoretical advances are neither supporting the idea of retarded interactions nor the idea of gravity as geometry. But they aren't refuting it, either, which is the relevant point. Both (geometry and retardation) are approximated concepts. Almost certainly -- it's highly likely that GR itself is an approximation. But to what? Thus geoemtric GR is an approximation to a more general description of classical graviational phenomena. Except that to date nobody has presented such a "more general description". try to describe how one could MEASURE the "gravitational force" on an orbiting satellite. If you cannot do that, you cannot define "force" this way. This is done in standard astronomic and celestial mechanics literature. The definition of force is also standard and agrees with standard definitions used on other branches of physics. In other words: you cannot do so, either. My point is that one cannot possibly MEASURE the "gravitational force" on an orbiting satellite. One can certainly measure geometrical aspects of its path and INFER a "gravitational force". But that's insufficient to the task you and Van Flandern have set out for yourselves, because the geometry of GR can also explain such measurements. Tom Roberts |
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