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| Tags: energy, field, gravitational |
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#11
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"Laurent" wrote in message ...
"Old Man" wrote in message news:3f3d31f7_3@newsfeed... Starblade Darksquall wrote in message om... "Old Man" wrote in message news:3f3c4617_2@newsfeed... Uncle Al wrote in message ... Starblade Darksquall wrote: How can the gravitational field have an energy? The gravitational stress-energy (energy-momentum) tensor in General Relativity is exactly zero. Any local gravitational field in freefall becomes Minkowski space. Not all free-fall frames are equivalent, as GPS clearly illustrates. The un-equivalence principle rests upon gravitational gradient and gravitational potential (space-time curvature). [Old Man] Uncle Al http://www.mazepath.com/uncleal/eotvos.htm (Do something naughty to physics) So what effect do these two things have on free fall? Gravitational red shift and gravitational length contraction. All GPS satellites are in free-fall, but, in addition to relativistic speed corrections, the clock rate depends upon the radius of the orbit. At finite free-fall radius, the clock rate is slower than that in free space. In a GM / r^2 gravitational field, the clock rates are identical for free-fall and stationary observers at the same radius. This is not a violation of the equivalence principle which is restricted to uniform gravitational fields. [Old Man] Gravitational field strength ( gravitic pressure) increases as we get closer to Earth due to an increased density of the CBMR. CBMR? So, wait, doesn't this mean that energy is not conserved, and that momentum is not conserved, and that maybe even E^2-p^2c^2 is not conserved so that a things rest mass changes? -- Laurent -------------------------------------------------------- The data from all sources, including our extensive experience with satellites, can be most simply interpreted as indicating that our Earth completely determines the motion of the surrounding space for many kilometers out, sweeping it along with it into its 30km/s uniform motion through the larger volume of space that is entrained by our Sun and Solar system. Our galaxy, being a larger collection of matter, entrains a larger body of space. Thus the motion of space in any location in this Cosmos is determined by the distribution and motion of both nearby and distant matter. [...] In the boundary regions where there is interaction between the space-flows of two bodies, such as between the Earth and Sun, and at distances from bodies where entrained and non-entrained space interact, there will be anomalous atomic clock-slowing and accelerational effects which are not predicted by the static solutions of the field equations of General Relativity. These could be detected by studying the motion and atomic-clock rate of a satellite which passes through the Earth-Sun gravitational saddle point. --- Henry Lindner http://www.geocities.com/hlindner1/W...ce/Physics.htm http://www.geocities.com/hlindner1/W...plications.htm ----------------------------------- THE ETHER, QUANTUM MECHANICS & MODELS OF MATTER -- M. C. DUFFY http://www.cet.sunderland.ac.uk/webe...ce/quantum.htm Is there any 'free' energy in GR? That is, energy of gravitation? Energy which depends on a thing's local passage through gravitational gradients? (...Starblade Riven Darksquall...) (...Starblade Riven Darksquall...) |
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#12
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"Old Man" wrote in message news:3f3d31f7_3@newsfeed... Starblade Darksquall wrote in message om... "Old Man" wrote in message news:3f3c4617_2@newsfeed... Uncle Al wrote in message ... Starblade Darksquall wrote: How can the gravitational field have an energy? The gravitational stress-energy (energy-momentum) tensor in General Relativity is exactly zero. Any local gravitational field in freefall becomes Minkowski space. Not all free-fall frames are equivalent, as GPS clearly illustrates. The un-equivalence principle rests upon gravitational gradient and gravitational potential (space-time curvature). [Old Man] Uncle Al http://www.mazepath.com/uncleal/eotvos.htm (Do something naughty to physics) So what effect do these two things have on free fall? Gravitational red shift and gravitational length contraction. All GPS satellites are in free-fall, but, in addition to relativistic speed corrections, the clock rate depends upon the radius of the orbit. At finite free-fall radius, the clock rate is slower than that in free space. In a GM / r^2 gravitational field, the clock rates are identical for free-fall and stationary observers at the same radius. This is not a violation of the equivalence principle which is restricted to uniform gravitational fields. [Old Man] Gravitational field strength ( gravitic pressure) increases as we get closer to Earth due to an increased density of the CBMR. -- Laurent -------------------------------------------------------- The data from all sources, including our extensive experience with satellites, can be most simply interpreted as indicating that our Earth completely determines the motion of the surrounding space for many kilometers out, sweeping it along with it into its 30km/s uniform motion through the larger volume of space that is entrained by our Sun and Solar system. Our galaxy, being a larger collection of matter, entrains a larger body of space. Thus the motion of space in any location in this Cosmos is determined by the distribution and motion of both nearby and distant matter. [...] In the boundary regions where there is interaction between the space-flows of two bodies, such as between the Earth and Sun, and at distances from bodies where entrained and non-entrained space interact, there will be anomalous atomic clock-slowing and accelerational effects which are not predicted by the static solutions of the field equations of General Relativity. These could be detected by studying the motion and atomic-clock rate of a satellite which passes through the Earth-Sun gravitational saddle point. --- Henry Lindner http://www.geocities.com/hlindner1/W...ce/Physics.htm http://www.geocities.com/hlindner1/W...plications.htm ----------------------------------- THE ETHER, QUANTUM MECHANICS & MODELS OF MATTER -- M. C. DUFFY http://www.cet.sunderland.ac.uk/webe...ce/quantum.htm Is there any 'free' energy in GR? That is, energy of gravitation? Energy which depends on a thing's local passage through gravitational gradients? (...Starblade Riven Darksquall...) |
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#13
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Laurent wrote in message ... Gravitational field strength ( gravitic pressure) increases as we get closer to Earth due to an increased density of the CBMR. -- Laurent Ludicrous Crackpot. [Old Man] |
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#14
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In message , Starblade
Darksquall writes [...] This doesn't make any sense to me at all. And I'm not stupid or anything. I don't see why they found it necessary to do these things. Maybe either I need to be educated more, or their theory needs some tweaking. "either" ... "or". That's two hypotheses. Fermi problem for the reader: calculate their relative probabilities. -- Richard Herring |
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#15
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Starblade Darksquall wrote: How can the gravitational field have an energy? Isn't energy what CREATES the gravitational field? Also, why is it that this energy does not create any curvature effects while all other energies do? Doesn't this violate the equivilence between all types of energies? The gravitational field generates itself because Einstein's equations are non-linear. The Schwarzschild solution is an exact solution of the Einstein equations and there is no energy-momentum tensor anywhere. It's a vacuum solution. In GR, there really isn't a gravitational force, so the idea of eneregy associated with it requires careful interpretation of Einstein's equations. Trying to identify the energy in a gravitational field is a bit problematic in GR but that's a technical difficulty. See Wald's book for a discussion of this. John Anderson |
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#17
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In sci.physics Starblade Darksquall wrote:
[...] Also, what about this article: http://www.npl.washington.edu/AV/altvw100.html Yilmaz's theory is simply wrong. I suggest that you start with Misner's paper, gr-qc/9504050. The basic problem with Yilmaz's is precisely the one Yilmaz (mistakenly) thinks is a problem for general relativity: for a many-body problem, it leads to a violation of the Newtonian limit of the equations of motion for the bodies. For example, a two-body solution of general relativity is inconsistent if the bodies remain at rest---they must necessarily accelerate in a manner that is, to a good approximation, just the acceleration predicted in Newtonian gravity. In Yilmaz's theory, on the other hand, a solution with two bodies at rest is consistent, while one in which they accelerate towards each other is inconsistent with the Bianchi identities. Yilmaz's underlying mistake is a misunderstanding of gravitational energy in general relativity. As others have pointed out in this thread, the nonlinearity of the Einstein field equations implies that gravity generates gravity, i.e., that gravitational energy is already included. This can be made explicit in the weak field approximation -- see, for example, Feynman's _Lectures on Gravitation_, in which he builds up the field equations of general relativity by starting with a linear theory and then adding in the energy of the gravitational field as a source. (The rigorous version of this has been done by Deser, Gen. Rel. Grav. 1 (1970) 9 and Class. Quant. grav. 4 (1987) L99.) Because Yilmaz does not recognize this, he essentially double-counts gravitational energy by including it as a separate source. Actually, there's a funny choice of sign, so Yilmaz's right-hand side turns out to cancel the energy of the gravitational field that's already there. As a result, Yilmaz's theory is inconsistent with the motion of its sources under each other's gravitational field; his field equations imply that sources must be, and remain, at rest. What's wrong with having a gravitational stress energy tensor? Especially if the energy in the gravitational field itself causes curvature. First of all, it's not a tensor. This is easy to see. A basic property of a tensor is that if it's zero at a point in one set of coordinates, then it's zero there in any other coordinate system. But you can always transform away gravity at a single point, by going to a freely falling reference frame. (You can't do this in a finite region, so you *can* define a ``quasilocal gravitational energy'' in a finite region with specified boundaries. But that's not a tensor.) Second of all, as I explained above, gravitational energy is already there in the Einstein field equations. Adding it in is redundant. Subtracting it out, as Yilmaz does, is wrong, observably. Steve Carlip |
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#18
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(Starblade Darksquall) wrote in message . com...
(György Szondy) wrote in message . com... (Starblade Darksquall) wrote in message . com... How can the gravitational field have an energy? Isn't energy what CREATES the gravitational field? Also, why is it that this energy does not create any curvature effects while all other energies do? Doesn't this violate the equivilence between all types of energies? Where does the energy come from if free fall doesn't create any energy? Do they mean the energy created when one accelerates up in a gravitational field? If so, then why don't they just say so? And, furthermore, this WOULD have an effect on its energy, at least from a free-fall frame of reference, so why not include it in its calculations? This doesn't make any sense to me at all. And I'm not stupid or anything. I don't see why they found it necessary to do these things. Maybe either I need to be educated more, or their theory needs some tweaking. (...Starblade Riven Darksquall...) Gravitational field has no energy - if you change the definitions (see Brans and Dicke). In that case the theory will be linear (see http://www.arxiv.org/html/physics/0109038). What exactly is meant when they say that the gravitational field does or does not have energy? It means: 1.) gravitational field does not have energy means: Energy causes gravity 2.) gravitational field does have energy means: Energy and Gravity causes Gravity. To solve the second case it is obvious that the equation must be changed so that Energy remains on one side and Gravity is arranged to be only on the other side. (Separate them) The result is equation 1.) So then why do not we start with equation 1.)? Also, what about this article: http://www.npl.washington.edu/AV/altvw100.html What's wrong with having a gravitational stress energy tensor? Especially if the energy in the gravitational field itself causes curvature. Nothing is wrong, except that in case of multi objects the result is an unsolvable nonlineal equation. (...Starblade Riven Darksquall...) |
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#19
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Gy\"orgy Szondy wrote:
Steve Carlip wrote in message ... In sci.physics Starblade Darksquall wrote: [...] Also, what about this article: http://www.npl.washington.edu/AV/altvw100.html Yilmaz's theory is simply wrong. I suggest that you start with Misner's paper, gr-qc/9504050. Please also see the refutation of Misners claims... Einstein's theory is also wrong - as it is a heuristic theory: 1.) it defines the rest mass of the particle being constant, that causes the nonlynearity of his model. Why do you not take the nonlinearity as given ? 2.) Stress energy tensor contains stress-part that has been counted in the energy part. (mass of the moving particle...) 3.) In Schwarzschild solution the metric is defined being non conform: a radial anisotropy is allowed/defined/predicted that has been never validated (AFIK). There are several Schwarzschild solutions. The isotropic solution is ds^2 = (\frac{r-R}{r+R})^2 dt^2 - (1+\frac{R}{r})^4 \dot (dr^2 + r^2(d\theta^2 + sin^2\theta d\phi^2)) with R = \frac{\kappa m}{16 \pi} . So what we are talking about? GR is the best - but there were many attempts to correct it's errors. Any attempt to validate predictions or correct errors should be welcome and must be critised in details, but partial results should be admitted indeed. GR's only one error is the assumption of _distributed_ matter sources - it makes GR crazy. Only this false assumption is inconsistent with the quantum phenomena, the rest not ! See http://home.t-online.de/home/Ulrich.Bruchholz/ One can of course see particle numbers in solutions of the Einstein- Maxwell equations regarding this essential. Ulrich Bruchholz |
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#20
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Steve Carlip wrote in message ...
In sci.physics Starblade Darksquall wrote: One thing I want to know is... if two bodies are falling toward eachother, doesn't the system increase in gravity due to the added energy? At least with respect to an outside observer? I don't understand what ``increase in gravity'' means. ``Gravity'' is not a scalar. What, exactly, do you expect to ``increase''? If two objects fall toward each other, the form of the gravitational field around them will change, of course. But how, exactly, do you want to decide whether such a change is an ``increase''? Meaning if you're an observer at a fixxed distance from their center of mass by accelerating likewise you will have to accelerate with a greater power (I'm taking accelerations to be in the spaceship's frame of reference, BTW) in order to remain at the same position. As the two large bodies approach, there will be more gravitational attraction because they will gain net total energy but remain with the same net total momentum, or at least from your reference frame they will. Also, how does GR deal with the time lag involved with gravity? Like if there are two extremely powerful rays of light going in opposite directions each fired about 10 light seconds away from you, GR ought to say that at the 'same time' as they are fired there is no gravity, Why? Are you proposing to create these light rays out of nothing? The energfy that gets converted to light will have a gravitational field. It *is* true, according to GR, that the gravitational field you observe won't *change* for ten seconds. But that's a different matter... Yes, that is what I'm talking about. How does GR figure this? Does it measure how gravitational fields change with time? I know that it does specify that it takes time for a change, differeing based on the metric, but what I'm not sure of is if anybody's actually done the mathematics for this so that it can actually be calculated. Steve Carlip (...Starblade Riven Darksquall...) |
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