Physics has all but surrendered to mathematics in the last hundred years. I believe this has been detrimental, and nowhere more than in gravitation theory. The general theory of relativity was conceptual in origin, mathematical in its corroboration. The theory has represented gravitation as a product of the “curvature” or deformation of spacetime in the presence of mass, and both the evidence and the supportive mathematics have been entirely adequate to justify its acceptance. Gravitation is nevertheless described in terms of the mathematics of quantum theory as a force and associated with a hypothetical particle, without either an explicit dissension from the geometric conception or empirical evidence of the particle.
Conceptual physics, which I take to be roughly coextensive with pre-quantum physics, involved the initial development of coherent hypotheses and secondarily the employment of mathematics (and/or experiments) to support their plausibility. A mathematical formalism without conceptual coherence would be regarded as irremediably provisional, if not unsatisfactory, in the former methodology. With respect to the former physics, two thought-experiments will be employed here, without resort to mathematics, to demonstrate that the quantum interpretation of gravitation is conceptually flawed and without empirical support.
A description of the first experiment may be unnecessary, but the pre-relativistic association of gravitation with inertia and of inertia with universal mass is still maintained on occasion, if only tacitly, and may be the ultimate basis of the continued identification of gravitation with force. The identification may also be a residue of one of our most familiar experiences on the earth's surface: The pressure we feel between ourselves and the surface is fundamental to our original concept of gravitation; we tend to regard the pressure as a force (“the force of gravity”) and our surface station as being at rest. The following experiment may therefore be helpful toward more clearly dispelling the identification of gravitation with force and inertia, and also in prefacing the second experiment (actually a thought-investigation) of the force-free continuity between astronomical gravitation and gravitation at the surface of a massive body:
Imagine a spacecraft traveling a uniform path relative to the "fixed stars" which comes under the influence of a stellar object nearby and
begins to deviate toward it, while continuing in uniform motion by the evidence of free-floating objects inside. In order to maintain the
original course a thruster is fired and inertial effects are experienced onboard as the craft accelerates just enough to counter the influence
of the local gravitational field.
Note that in this experiment inertial effects are associated with uniform motion relative to the distant stars, contrary to the pre-relativistic Machian expectation. Aside from the discrimination of inertia from any influence of the overall mass of the universe (an association that is seldom explicitly defended now anyway), the experiment demonstrates what I hold to be most significant, that at least in the situation just described, force becomes evident in conjunction with gravitation only when gravitation is being resisted.*
Now consider an experiment that comprehends the transition from astronomical gravitation along a geodesic to an involvement with force and inertia at the surface of a massive body:
Imagine two test bodies gravitating toward the earth from some considerable distance. For the sake of simplicity, consider the earth to be at
rest and the test bodies to be gravitating directly toward its center of mass. (They appear to be simply “falling” from a perspective on the
earth’s surface.) One body is an immense hollow sphere of negligible mass, the other is relatively small in size -- an extra-vehicular scientist,
let's say -- and also of negligible mass. Notice that while the test bodies are falling toward the earth (or more accurately, while the three
bodies are converging) there is among them a purely relative transformation of potential energy to kinetic energy as each moves uniformly in
its own frame of reference -- there is, at least as yet, no occasion for an exchange of mass-energy in the form of the supposed gravitational
energy. Let the sphere and the scientist be placed initially close together so that as they approach the earth their geodesics converge enough
to bring their surfaces in contact some time before the larger impact. (It is the fantastic size of the hollow sphere that allows the surfaces of
the two bodies to meet somewhere above the earth's surface). From the moment the sphere and the scientist come in contact until they reach
the surface of the earth an inertial acceleration between them will intensify as each tries to conform to its own geodesic at an ever greater
angle to the normal. The situation will, if viewed in isolation, come to resemble the gravitation of a small body pressing against a planetary
surface (although the gravitation between them is actually insignificant due to their negligible masses) and the scientist will even be able to
stand upon the sphere. This development of an increasing inertial acceleration between the test bodies is the only aspect of the situation
which changes from the moment they meet; the earthward component of their motion continues as before, a relative gravitation. In a way
similar to the first experiment, force has developed in the resistance to what is in this case a convergent gravitation of two bodies toward
another. And once the two reach the earth the situation remains essentially the same: Each one, now in conjunction with the entire
conglomerate of the earth, presses toward the center of mass with the same sort of conflict of geodesics as was observed between them
when they were gravitating from a distance. Along with the other components of the earth at and below the surface, they are resisted, and
thereby accelerated, by those further below, due to the coincidence of the common inclination toward the center of mass and the
subordinate obstructions.
This second experiment demonstrates that it is only in the inertial conflict of geodesics (or as in the first experiment, in a singular inertial acceleration) that force can be observed in association with gravitational phenomena. The intersection of geodesics and the consequent inertial effects constitute the interruption of gravitation, and what is commonly conceived as “the force of gravity” at a surface would be more accurately described as anti-gravitation.
Gravity has to be considered absolute in the aspect that a geometric vertex exists at a center of mass that cannot be transformed, either conceptually or mathematically. But unless the geodesic of a body brings it to a massive obstruction, such as the surface of a planetary body, gravitation involves uniform motion with only relative accelerations -- no force can be attributed.
There remains a most significant aspect of the situation disclosed in the second experiment to be comprehended, although its full implications must be left outside the scope of this discussion. The energy expressed in the continuous static acceleration of bodies at or below a surface toward a center of mass is rendered inexplicable in purely geometric terms when gravitation is finally discriminated from force. If there is no “force of gravity”, what accounts for the persistent energy of the inertial acceleration at a surface after a body has come to a relative state of rest? Recall that in the initial appearance of force in the second experiment only a conflict of geodesics is present and resistant against the otherwise uniform motion of the test bodies. No extrinsic source of energy can be identified, yet there is a static acceleration between the two, while the gravitation with the earth remains relative. I believe the only available explanation is that motion as-such, the motion of matter in general, must be regarded as absolute, although relative in the various incidental trajectories between individual bodies. I wish to maintain that the source of the energy usually identified as gravitational energy must be attributed to an intrinsic and ceaseless dynamic of mass-energy, independent of gravitation but uniquely revealed by its coincidence.
Having briefly acknowledged the implications of a consistent geometric theory of gravitation, that gravitation and motion in general are each in their own way both relative and absolute, that mass-energy is somehow intrinsically dynamic and the source of the energy disclosed in the opposition of gravitation and its occasional resistance, I will consolidate the findings with regard to quantum theory in the following summation:
Gravitation is evidently a deformation of spacetime in the presence of mass, its effects the product of the concentration of spacetime at vertices, at centers of mass. As such, gravitation cannot be a force, and cannot therefore be mediated by a particle. The assimilation of gravitation by quantum theory and its derivatives (e.g., string theory) as a field of force, and the positing of a gravitational quantum of action where none is apparent, theoretically necessary, or conceptually coherent is entirely without justification.
This is admittedly an unsettling proposition, but in consolation its acceptance would make one of the principal projects of quantum theory less complicated, as gravitation with all its peculiarities could be disregarded in the pursuit of a unified field theory. I hope that it might also signal the need to rely more upon conceptualization, and not so heavily on mathematical formalisms, in the development of physical hypotheses.
Endnote
* Incidentally, there may also be evidence of force if the gradient of a gravitational field is severe enough to produce tidal stresses to a body’s molecular binding energies.
Comments
Re5: A third choice is not my dilemma
February 2, 2008 by jarnold, 1 year 21 weeks ago
Comment id: 27309
David,
The site I referred you to (http://math.ucr.edu/home/baez/einstein/node2.html), which you didn’t want to consider, was a treatment of the Field Equations by John C. Baez, a mathematical physicist and author at UC Riverside and Emory F. Bunn, a physicist at U of Richmond. I don’t think their discussion can be considered “half-baked.†My point in referring you there was to show that the mathematics of the field equations is ambiguous as to geometry or force. If math can be ambiguous, if in the case of gravitation it can model the phenomena as either the manifestation of geometry or force, then the dilemma you pose for me – “You cannot hold to the field equations of General Relativity, while also holding that Gravitational Waves do not have the characteristics predicted thereby†– excludes my position, and it remains for you, or someone, to explain (non-mathematically) how grav waves can result from a consistent geometric model.
A bite of the dilemma
January 29, 2008 by Gadfly, 1 year 22 weeks ago
Comment id: 27231
Jim, Jim, Jim!
You have turned to insulting a most patient teacher who asks a simple yes/no question.
Do you accept the mathematics of GR as a valid description of the universe or not?
David has pointed out that the mathematics of GR, not a mere interpretation thereof, predicts the existence of gravitational waves just as the mathematics of Maxwell's equations predict the existence of electromagnetic waves.
Answer his question yes or no, or expect a perturbed gadfly to bite your pompous posterior.
This bite of realism brought to you by "Gadfly."
Re3: A third choice is not my dilemma
January 29, 2008 by jarnold, 1 year 22 weeks ago
Comment id: 27229
David,
You insist that I “accept the field equations of General Relativity, in which case [you] can show [me] how one finds that these ‘ripples’ in spacetime do indeed have ‘energy’-like characteristics…â€, otherwise you “don't believe it's worth [your] time,†and it would “would involve the entire derivation of General Relativity, and, then from there the derivation of models of Gravitational Waves.†The burden of the showing would be the same regardless of my initial position, of course, so it seems clear you’re demanding my acceptance before you’ll endeavor to show me why I should accept.
You “haven't bothered to read the reference [I] link to†as you’ve decided it’s irrelevant to your challenge. My challenge precedes yours, and you’ve continued to avoid it - to show how uniform motion/geodesic motion (choose whatever term you wish, it’s the state in the physical world revealed by a gravitiometer) transforms into energy, other than by an interpretive mathematical formalism. You not only ignore my challenge, you insist I make one of two choices that presume my challenge doesn’t exist, or that it isn’t more fundamental, or that it has already been addressed.
The mathematics of gravitational phenomena can follow from an implicit interpretation of gravity’s association with some sort of energy, or it can follow the physical evidence of the geometric distortion of spacetime in the presence of mass. An excessive absorption in mathematics can obscure the dilemma you refuse to acknowledge, that the mathematics of physics should depend upon an explicit physical interpretation. (There is no problem with a mathematical characterization of free-fall as an acceleration presumed to be due to a gravitational force, for example.) The mathematics of gravitation is uniquely ambiguous with respect to the basis of gravitation. The physical evidence of gravitation as a geometric phenomenon is however not ambiguous – provided, of course, there is an interest in isolating the evidence. And on the other hand there’s no unambiguous physical evidence of “gravitational energy.â€
We live in different worlds. Yours and your colleagues’ is abstract mathematics, with occasional reference to the observable physical world. I’m reminded of a discussion by Hawking, where he concludes from the fact that the equation for entropy is indifferent to sign that entropy may arbitrarily go backwards somewhere, sometime. In my world, such leaps of abstraction are unpersuasive, and literally nonsensical. It suggests an implicit neo-Pythagorean philosophy that exceeds the bounds of science while claiming the special standing of science.
Despite your framing of my “two-choice dilemma†I’m questioning your interpretation, the standard interpretation, of the field equations. That’s my choice, and it makes your framing irrelevant. Your refusal to recognize the issue as such is what makes our conversation circular and fruitless.
Huff and puff all you like, I don’t believe you can form an explicit, coherent explanation of how force-free gravitation can produce radiant energy. To me, that’s a problem, a critical problem, no matter how many physicists say it isn’t.
So yes, farewell.
Re4: A third choice is not my dilemma
January 30, 2008 by Halliday, 1 year 22 weeks ago
Comment id: 27240
Jim:
First, you appear to have, once again, mischaracterized/misrepresented my positions, assertions, and/or "requirements".
I simply wish to know where you stand in order to determine how to proceed in any possible attempt at answering your question: "to show how uniform motion/geodesic motion (choose whatever term you wish, it’s the state in the physical world revealed by a gravitiometer) transforms into energy, other than by an interpretive mathematical formalism."
Either you accept Einstein's Field Equation(s) of General Relativity (at least for the sake of further progress), or you call into question even the field equations of General Relativity as not properly having embodied the curved spacetime nature of gravitation.
Either choice is acceptable. You just have to make your choice as to where you stand.
It's quickly nearing time for me to make good on what I said I would do if you refused to make your choice.
So your next post will determine my next step. If you continue to refuse to make your stand clear, so we may proceed, then I will follow though as promised.
You make statements like:
Which appears to suggest that you accept Einstein's field equation(s) of General Relativity, but then at other times you appear to be calling these field equations into question.
I simply want to know which is your actual position, so I may know what I have to work with, so I can know how to proceed (if at all).
On the other hand, if your last statement ("So yes, farewell.") is intended to ask me to "leave", then so be it.
I await your answer, so I will know how to proceed, if at all.
Fare well.
David
Re: A third choice is not my dilemma
January 27, 2008 by Halliday, 1 year 22 weeks ago
Comment id: 27193
Jim:
My reference to "being a man" was not in any regard questioning your "manhood", but regarding whether or not you would face your dilemma, or, like most people, simply try to avoid such by trying to manufacture some "third choice", as you appear to be trying to do.
Half baked "conceptual" discussions are irrelevant to the "two-choice dilemma" I have shown you are faced with. Such are unfortunate, but what one can expect when trying to discuss GR with novices (just as the very unfortunate "rubber sheet" is so often used). It is not relevant that such can lead one down unfortunate conceptual paths. Such is often the case when analogies and sub-models are used (rather than the full mathematical model that is General Relativity).
I don't believe it's worth my time to attempt to try and take you "step-by-step, from a geometric principle to a radiation of energy." This would involve the entire derivation of General Relativity, and, then from there the derivation of models of Gravitational Waves, and showing how they lead to the exhibition of "energy"-like characteristics, whether one wishes to ascribe to them, or any aspect of "gravity", any "energy" designation/moniker.
It is because I know that from the field equations of General Relativity one can, via multiple methods, determine such "energy"-like characteristics, I have pointed out that you cannot claim to consider the field equations of General Relativity to be "correct" while disputing the "energy" that is effectively "transmitted" via Gravitational Waves (hence the term Gravitational Radiation). Either you accept the field equations of General Relativity, in which case I can show you how one finds that these "ripples" in spacetime do indeed have "energy"-like characteristics (even bending spacetime).* Or you must admit that you call into question the field equations of General Relativity (the "step-by-step, from a geometric principle to" the field equations of General Relativity). (You are most certainly free to choose the latter case, as I have tried to make clear in previous posts. Just don't continue denying that this is your contention.)
This is simply your "two-choice dilemma", again. So either you face it, and make your choice, or I leave you in your dilemma (as you continue in denial).
So, until you make your choice, fare well.
David
* Be warned, however, that what I will be showing you is highly mathematical, and directly from Misner Thorne and Wheeler's Gravitation. (Their's is the only text I have seen that doesn't stop at the linear approximations and/or analogies. However, this makes it much more difficult for those not fluent in Differential Geometry. Which is almost certainly the reason why most authors stop at the linear approximations and/or analogies.)
A third choice is not my dilemma
January 27, 2008 by jarnold, 1 year 22 weeks ago
Comment id: 27184
David,
I don’t think my motive or manhood need to be questioned. And I don’t “hate†mathematics. I do believe it should be treated as a tool, not an oracle.
The problem with mathematics as applied to gravitation is that it’s ambiguous with regard to the basis of gravitational acceleration.
Look at the conceptual discussion of the field equations at http://math.ucr.edu/home/baez/einstein/node3.html
Already there’s an interpretation, based on the mathematics, of “positive pressure†and an ambiguous treatment of the “flow of energy†that obscures the basic premise of GR, that geodesic motion is uniform motion. There is no “pressure†with geodesic motion, and the only energy involved with the "collapsing ball" is kinetic. Although the mathematics succeeds in characterizing the dynamics of gravitation, the seeds are already sown here for derivations based on misinterpretation, on a confounding of the basis of gravitation (the geometric distortion of spacetime) with an analog of force-like “attraction.â€
So your “two-choice dilemma†leaves out my choice, which is that the mathematics of the field equations is fine up to the point where it is wrongly interpreted, and over-extended. If I’m wrong, my motives and manhood are irrelevant. I would hope that you will choose to point out how “pressure†and “energy flow†apply to gravitation as a geometric principle, and how we can legitimately move, step-by-step, from a geometric principle to a radiation of energy.
Re2: A third choice is not my dilemma
January 27, 2008 by Halliday, 1 year 22 weeks ago
Comment id: 27194
Jim:
Just a few "corrections", mostly for the sake of other readers (if there are any, by now).
There is no "basic premise of GR" stating "that geodesic motion is uniform motion." It is correct to say that geodesic motion ("free fall") is the closest thing to "uniform motion" one may find within General Relativity. But that's not the same as saying they are the same thing.
Also, within GR one really cannot talk about "kinetic energy" as if it was isolable. In fact, even the Special Relativistic concept of mass-energy has trouble being isolated. It's really all a part of the mass-energy-momentum-stress tensor (though one can look at various components in appropriately chosen coordinate systems, or by way of various assumed forms of matter and/or energy, to see that such contains all that has previously been designated via various separate treatments).
David
P.S. I haven't bothered to read the reference you link to, since it is not relevant to your "two-choice dilemma". However, it is quite possible (though I cannot be certain without reading it) that the "positive pressure" and "flow of energy" you deride actually pertains to the mass-energy-momentum-stress tensor, that is the source term in Einstein's field equation(s), rather than some supposed aspects of gravity itself. But as I say, that's not relevant to the core discussion.
... now it's 6 choices
January 22, 2008 by jarnold, 1 year 23 weeks ago
Comment id: 27110
I apologize for any part I had in the duplications. I don't know how it happened.
A "Two-Choice Dilemma"
January 22, 2008 by jarnold, 1 year 23 weeks ago
Comment id: 27109
David,
We do seem to be at an impasse. You’ve been generous with your time, but your focus seems never to have gone beyond defending and imparting the convention.
To say “I don’t get it†(one of the nicer things I’ve heard from contributors here) when it’s presumed that the only issue is whether I’m being consistent with GR is simply dogmatism. To object that my position is inconsistent with GR isn’t to refute my position. And I’ve stated repeatedly that GR can be clarified as simply a description of the distortion of the geometry of spacetime without invalidating GR in its entirety. To object that discarding any part of GR would be catastrophic to GR is a theoretical fundamentalism.
“since General Relativity does not allow gravitational effects to travel at infinite velocity (unlike Newton), there are waves that are set up and propagate away from the system at the speed of light. It is these wave that are referred to as Gravitational Waves, not the near field tidal effects. (You also appear to have totally ignored, or not recognized, my discussion on the difference in how such effects diminish with distance, such that the waves will always dominate at sufficiently large distances.)â€
Ripples in spacetime due to changes in the distribution of mass, whether tidal or somehow energetic, would in any case propagate at the speed of light. Given that I’ve questioned the reality of non-tidal gravitational waves, it's unavailing to argue that “Gravitational Waves†exist because “Gravitational Waves†exist.
“(I'll ignore your perpetual confusion concerning orbital mechanics and the energies involved.)â€
I suppose I’ll have to ignore it too.
“you are correct that if there is a decaying orbit there must be something that is causing or facilitating the reduction of total energy of the system: Energy is ‘going away’ (somewhere). Since all of science has found that energy can neither be created nor destroyed, but can only change form, one will certainly expect that the orbital energy has been transformed into some other form and is, in some way, leaving the system. (Unless we find that the system is heating up, in which case it will eventually leave through electromagnetic radiation in the infrared, etc.)â€
If there’s a net loss of kinetic energy to the system, there’s a net gain of kinetic or potential energy (unless maybe the intensity of the magnetic field is somehow being dissipated) outside the system. You’ve yet to explain where “Gravitational Energy†comes in, except to say that it’s predicted by GR. It is because it is because GR says it is.
“the prediction of gravitational waves, from the General Theory of Relativity, is derived from first principles within said theory, without any electromagnetic fields being involved. Hence, if the observations could be completely explained via electromagnetic effects, this could actually be viewed as a refutation of the General Theory of Relativity!â€
Ripples in spacetime due to changes in the distribution of mass can be interpreted as only tidal fluctuations without a complete rejection of GR. My point is that any loss of energy to a system (given that I don’t see how geometry can produce energy) could be attributed to either potential/kinetic energy, or to the radiation of some other established (presumably electromagnetic) form.
“face it, this ‘exotic form of (gravitational) radiation’ is inextricably tied to the field equations of General Relativity…. you cannot hold that you don't dispute the field equations of General Relativity, while only disputing interpretations that use ‘force’-like concepts (and, by extension, and your own assumptions, ‘energy’-like concepts), if you assert that the predicted nature of gravitational waves are not as predicted by General Relativity. You can't have it both ways! ….You may accept that the General Theory of Relativity predicts Gravitational waves, with their predicted characteristics of causing orbits to decay (thus maintaining that you believe in the field equations of General Relativity, while disputing interpretational issues). Or, you must admit that there is more to your dispute with the General Theory of Relativity than the interpretational disputes you have admitted to thus far.â€
Your challenge sounds strangely doctrinal. I’m not trying to conceal the depths of some awful heresy. And again, there’s no reason why any aspect of GR that associates geometry with force or energy can’t be excised without abandoning GR's basis as a geometric interpretation of gravitation, and of its confirmed, unambiguous predictions. You’ve given me to choose between orthodoxy and heresy. Can’t I be just somehow “reformed�
2nd Re: A "Two-Choice Dilemma"
January 23, 2008 by Halliday, 1 year 23 weeks ago
Comment id: 27128
Jim:
Once again you either misunderstand my position, or you have (intentionally?) misconstrued it.
I most certainly do not hold that simply because something is predicted by General Relativity then it must be. (Regardless of how successful the theory has been, thus far, anything that has not yet been measured is a potential test. Furthermore, even if a theory passes all tests with flying colors, this still does not imply that its description is the Truth or Reality.)
You certainly have a right to take a stand against General Relativity. Just be a man and state that such is your position! That is one of your two choices, as I have pointed out. (Then you can have the integrity, and our respect, in being honest about your position concerning the curvature and geodesic aspects of GR vs. the Gravitational Wave etc. aspects. Of course, then the onus is upon you, and any cohorts you can convince to join you, to come up with a viable alternative to General Relativity that has your desired characteristics while simultaneously explaining all presently measured results at least as well as GR.)
Your only other choice, as I've explained, is to continue to hold that you believe that the field equations of General Relativity are "correct" (as per your assertion that you do not dispute such), recognizing that predictions like Gravitational Waves are inextricably tied to such.* While you may still be free to dispute "force"-like interpretations appended thereto.
The problem, as I pointed out, is that you cannot have it both ways: You cannot hold to the field equations of General Relativity, while also holding that Gravitational Waves do not have the characteristics predicted thereby. It's as simple as that.
Be a man, make you choice, within your "two-choice dilemma".
I await your decision.
David
* If you wish to see "proof" of this inextricable connection, we may be able to help. However, so far, I have seen no evidence that you have taken advantage of the references you have been presented. So do try those references first, and if they are still unsatisfactory (as I expect they may well be) simply come and ask for some more specific "proof" you desire.
(I'm afraid that some "hand waving", conceptual level will almost certainly not satisfy you, since all such I have seen rely upon "energy" like concepts. So, if you can really stand by your prior assertion that you do not dispute the field equations of GR, any such "proof" will be quite mathematical, I'm afraid. So I suspect you won't like it in any case. But please do let us know what you desire.)
Re: A "Two-Choice Dilemma"
January 23, 2008 by Halliday, 1 year 23 weeks ago
Comment id: 27119
Jim:
Short of going through a mathematical derivation of Gravitational waves (deeper than the level given in previous references, which you don't appear to have taken advantage of), and I know how you hate the mathematical approach, you are left with the two choices I outlined. For there is no way Gravitational Waves, as predicted by the field equations of General Relativity can be "excised" while maintaining the substance of the theory (the field equations).*
As I, and others have pointed out, the Gravitational Wave predictions are inextricably tied to the field equations of General Relativity, without any reference to "gravity as a force" or "gravity having energy". (Except to the extent that the nonlinearities of the field equations may imply some form of "energy" like characteristic, and/or the predictions of decaying orbits imply such a transformation. It's only secondary, not primary or necessary for the derivation of said prediction.)
I will give you one last chance... If you make your choice in your "two-choice dilemma", rather than avoiding the dilemma (as most tend to avoid such, until they pluck up the courage to undergo the anxiety and pain of growth, thereby), I will help you with the next stage.
Otherwise, I will delete your blog from my bookmarks and never visit again.
Until then, fare well.
David
* The best one could accomplish would be to start over from the "Arnold" hypotheses, and derive a new theory.
It way, I emphasize MAY, be possible to modify the field equations such that no such waves are produced while maintaining the other measured predictions, but no one has accomplished anything like this. Furthermore, unless one modifies the theory such as to rid it of the indefinite metric (like that of Special Relativity) it is almost certain that any dynamical character of spacetime will lead to waves.
Keep in mind, when Einstein created this theory I'm sure he had no intention of creating anything like Gravitational Waves, just as he had no intention to create a theory that predicted an expanding (or contracting) universe. It simply came as a part-and-parcel consequence. (A controversial one at that, as I and others have already pointed out.)
David's two choice dilemma
January 22, 2008 by Gadfly, 1 year 23 weeks ago
Comment id: 27106
David, who is clearly one of the world's most patient physicists, writes:
"Jim:
Once again you don't get it."
Like Jim, David appears to have two choices:
(1) To continue trying to teach the unteachable Mr. Arnold
(2) To recognize that Mr. Arnold is unteachable and perhaps use his talents to enlighten other Science Blog threads, such as those begun recently by aerospace watchdog Scruffy
This bite of realism brought to you by "Gadfly."
Re2: Re3: More and more Shinola
January 18, 2008 by jarnold, 1 year 24 weeks ago
Comment id: 27034
David,
You wrote: “I won't dignify any of your comment that's in line with ‘in general it’s too dark to tell red from blue’. Your going way too far off the mark with such comments.â€
I’m sorry you feel that way. I resorted to an “undignified†simile because my more direct and “dignified†point was unavailing. So forget my example of obscuring the difference between colors when light is removed – it’s essentially the same to argue that gravitation and force, or geodesic motion and force-induced accelerations, can’t be distinguished when conditions necessary for their discrimination are made problematic.
“Again, just as on Scruffy's blog, you appear to have a problem recognizing that there is a distinction between gravitational waves and tidal effects. While they have some relations, there are significant differences.â€
I recognize that you’re hypothesizing something that’s supposed to be distinct from tidal effects. But let’s be clear: You’re referring to a hypothetical principle (the energy-bearing gravitational wave) that has not been observed, in contrast to a principle (the tidal effect) that is manifest and unquestioned.
“I pointed out, in my post, that the gravitational waves do not rely upon any concept of ‘gravitational energy.’ They come about simply as ‘ripples’ in spacetime itself—from General Relativity itself!â€
Gravitational ripples in spacetime due to changes in the distribution of mass are tidal changes. Two bodies in a stable binary star system are each moving uniformly along their geodesics, and their orbits will produce tidal ripples, but that in itself shouldn’t cause the orbital system to decay. If there is a decaying orbit there is some factor that is slowing the relative kinetic energy (producing a lower orbit), while increasing their relative kinetic energy in the lower orbit. Parenthetically, I’d be very interested in your interpretation of what could be producing the orbital decay. Pulsars are highly magnetic - could the interaction of their magnetic fields be producing a radiation of magnetic energy, and hence, a decay of their orbits? That seems to me to be the most likely explanation. And it would give substance to the prediction of the General Theory without introducing an exotic form of (gravitational) radiation.
Jim's "Two-Choice Dilemma"
January 22, 2008 by Halliday, 1 year 23 weeks ago
Comment id: 27104
Jim:
Once again you don't get it.
You say:
First, in the near field (close to the orbiting bodies*), you are correct to talk about tidal effects. The difference is that since General Relativity does not allow gravitational effects to travel at infinite velocity (unlike Newton), there are waves that are set up and propagate away from the system at the speed of light. It is these wave that are referred to as Gravitational Waves, not the near field tidal effects. (You also appear to have totally ignored, or not recognized, my discussion on the difference in how such effects diminish with distance, such that the waves will always dominate at sufficiently large distances.)
(I'll ignore your perpetual confusion concerning orbital mechanics and the energies involved.)
Second, you are correct that if there is a decaying orbit there must be something that is causing or facilitating the reduction of total energy of the system: Energy is "going away" (somewhere). Since all of science has found that energy can neither be created nor destroyed, but can only change form, one will certainly expect that the orbital energy has been transformed into some other form and is, in some way, leaving the system. (Unless we find that the system is heating up, in which case it will eventually leave through electromagnetic radiation in the infrared, etc.)
You are correct that pulsars are "highly magnetic". However, to suggest that the energy is leaving in some form of "magnetic energy" (don't you mean electromagnetic energy?) would "give substance to the prediction of the General Theory without introducing an exotic form of (gravitational) radiation" is to show a complete misunderstanding of the "substance" of the "prediction(s)" of the "General Theory (of Relativity)".
First off, the prediction of gravitational waves, from the General Theory of Relativity, is derived from first principles within said theory, without any electromagnetic fields being involved. Hence, if the observations could be completely explained via electromagnetic effects, this could actually be viewed as a refutation of the General Theory of Relativity!
Secondly, you act almost as if someone concocted these gravitational waves in order to try and explain the decay of such orbits. Yet it's quite the opposite! The prediction of gravitational waves came directly from General Relativity, before any evidence for such had been observed. In fact, it was a prediction that was so far beyond anything one would expect, from our experience with Newtonian mechanics and observational astronomical mechanics, that it was quite controversial. (What?! You mean that "stable" orbits are only an approximation?!)
Jim, face it, this "exotic form of (gravitational) radiation" is inextricably tied to the field equations of General Relativity, and, just as with any dynamics within any form of spacetime that has an indefinite metric (like that of Special Relativity), these waves have a finite speed of propagation (which is really one of the reasons they are "waves", and not just "undulations"). This is why I have asserted that you cannot hold that you don't dispute the field equations of General Relativity, while only disputing interpretations that use "force"-like concepts (and, by extension, and your own assumptions, "energy"-like concepts), if you assert that the predicted nature of gravitational waves are not as predicted by General Relativity. You can't have it both ways!
So, you have but two choices (a "two-choice dilemma", if you will), if you wish to retain any semblance of integrity. You may accept that the General Theory of Relativity predicts Gravitational waves, with their predicted characteristics of causing orbits to decay (thus maintaining that you believe in the field equations of General Relativity, while disputing interpretational issues). Or, you must admit that there is more to your dispute with the General Theory of Relativity than the interpretational disputes you have admitted to thus far.
That's the choices you are left with. That's your dilemma.
Fare well.
David
* "Close" in this case meaning less than about one wavelength of the associated gravitational wave, or any other hypothetical wave that travels at about the speed of light and has a period like that of the objects' motion (their orbital period, in this case).
Re3: More and more Shinola
January 12, 2008 by jarnold, 1 year 24 weeks ago
Comment id: 26925
David,
I apologize. I’ve just discovered your commentary from long ago:
“What you appear not to be able to grasp is that the ‘absolutes’ of ‘mathematical statements that are absolute’ such as the ‘tenets of special and general relativity’ or the ‘fundamental tenets of quantum physics’ are all model dependent. Hence, they are never absolutes unless one "absolutely" adheres to their respective models. So long as one is trying to understand what is ‘actually’ the nature of this universe in which we reside one must recognize that any model is tentative, and, hence, not absolute.â€
Well, sure. But how is a statement that gravitational waves can carry energy any less absolute, or any more tentative, than a statement that they can’t? Could it be you find my statements objectionable because you disagree with them, or disagree with their worth?
“there are multiple choices available for defining what is meant by the ‘existence’ of a ‘gravitational field’. Unfortunately, you have yet to make your choice.â€
I’ve expressed my preference for assuming a gravitational field exists everywhere, but it makes no difference to my distinction between gravitation and force whether it exists in any particular region. For my purpose, it suffices to say if there is a detectible curvature, the effects of the curvature (gravitation) can be distinguished from force. If there is no detectible field, the distinction is, of course, problematic, and in such a region, irrelevant.
“there is the matter of distinguishing the effects of gravity from those of other inertial (pseudo,’false’) ‘forces’ (those that result from observing particle motions from any sort of non-inertial "reference frame"). With regard to this issue there is the little ‘problem’ that if spacetime is curved there are no inertial reference frames definable.â€
In demonstrating the difference between gravitation and force I have sought to construct experiments that allow for their distinction to be made. It is certainly possible to construct an experiment that makes it impossible to make the distinction. But 1) why would we want to do so and 2) how would that refute the distinction, or make it problematic in any meaningful way? An inertial reference frame is definable within an enclosure where neutral test particles indicate an inertial reference frame. It’s impossible to distinguish red from blue if we turn out the light, but darkness doesn’t render the distinction insoluble. Let’s turn on the light.
“This is why I've maintained that, in general, there is no theoretical way (let alone any practical way) one can uniquely distinguish between geodesics that are gravitational vs. ‘other’ geodesics caused by non-inertial motion.â€
Are you saying something more than an analog of “in general it’s too dark to tell red from blue� Inertial or non-inertial motion from my planet may look inertial or non-inertial from yours, or from your free-moving spacecraft. Let’s work together and find away around the problem, and see if gravitation and force are equivalent. Then it’ll be no problem.
“You have expressed incredulity at the idea of geodesics due to inertial "forces". You appear to have the supposition that all inertial ‘forces’ are actually manifestations of an application of "true" forces upon something. May I suggest you simply consider rotations: No more an imposition of external ‘true’ forces as non-rotation.â€
What sort of rotation are you thinking of? The rotation of a planetary body? Any body that is bound to a planet by gravity (actually by the resistance to its gravitation) will be forced to participate in the planet’s rotation by its consolidation with the planetary mass, which rotates due to the curvature of the geodesics that originally formed the planet, making for a rotation of inertially accelerating bodies. Do you mean a small-scale rotation, where gravitation is not a factor in the rotation? A body that is part of a rotation will be affected by a centrifugal “force†attributable to the actual force producing the rotation. Do you mean the rotation of a container in an experiment with test particles? A test particle inside a box or sphere will be unaffected by the rotation of the box or sphere unless it comes in contact with the box or sphere.
“your assertion that even if there are gravitational waves predicted by General Relativity, that such can, in no way, be ‘a carrier of energy’… is what is most untenable of all your assertions. You admit that gravitational waves (as predicted by the fundamental equations of General Relativity) may exist and travel, but you appear to refuse to allow that they may, in any way, cause or allow a source system to lose or decrease in energy, while causing or facilitating a receiving system to gain or increase in energy. (I hope you do recognize that General Relativity conserves energy… within the universe, in an absolute way, just as with all prior classical theories.â€
I don’t deny that gravitational waves can produce variations in the distribution of kinetic and potential energy between, e.g., a binary star system and the rest of the universe. But I believe such variations are entirely relative between the system and the universe. It’s no different than the relationship between the earth and moon, where the moon’s orbit produces immense tidal dislocations without an exchange of “gravitational energy.†If you can explain how a gravitational model based on curvature and geodesic motion can do otherwise, I’d love to learn.
Re: Re3: More and more Shinola
January 14, 2008 by Halliday, 1 year 24 weeks ago
Comment id: 26970
Jim:
I won't dignify any of your comment that's in line with “in general it’s too dark to tell red from blueâ€. Your going way too far off the mark with such comments.
Again, just as on Scruffy's blog, you appear to have a problem recognizing that there is a distinction between gravitational waves and tidal effects. While they have some relations, there are significant differences.
Burt did a rather good job of pointing out that "In a way, tidal gravity, with its short range, sets up a 'near field antenna' that radiates away long range gravitational waves." Tidal effects decrease as the inverse third power of the distance (in terms of "potentials"), while the waves propagate (at least in the weak field, small amplitude, perturbation approximation, where we can treat them as linear waves) with amplitudes that decrease as 1/r. So when talking about gravitational waves we are taking about effects that are far from the "near field" tidal effects. (Generally more than one wavelength away from the source, so for the Earth-Sun system we're talking more than about a light-year, while for the Earth-Moon system we are talking 1/13 th of that, which is still far outside our solar system.)
You say that
I'm not quite sure what you mean by "such variations are entirely relative between the system and the universe." Are you calling upon Mach? But once again you rely upon aspersions on any concept that uses anything like “gravitational energy.â€
I pointed out, in my post, that the gravitational waves do not rely upon any concept of “gravitational energy.†They come about simply as "ripples" in spacetime itself—from General Relativity itself! That's "how a gravitational model based on curvature and geodesic motion can" give rise to gravitational waves. Of course, an important feature of this particular "gravitational model based on curvature and geodesic motion" is that curvature is dynamic, it depends upon the locations and motions of the particles/fields/etc. within the universe. It's not static and immovable. (If spacetime were static and immovable, you would be correct that there would be no way for such to "cause or allow a source system to lose or decrease in energy, while causing or facilitating a receiving system to gain or increase in energy.")
Admittedly, since gravitational waves do "cause or allow a source system to lose or decrease in energy, while causing or facilitating a receiving system to gain or increase in energy" it does beg the question of where is the energy that "went from" the source system until it "reaches" the receiving system? It's this question, really, that I believe lead to the desire to obtain some kind of "localizable" "gravitational" energy-momentum-stress (tensor-like) "something" that can be used in such an accounting, not some "gravity as force" concept held over from Newtonian mechanics. (Unfortunately, as I pointed out so many times before, such attempts have failed. However, we are able to obtain something reasonably satisfactory in the weak field, small amplitude, perturbation approximation, where we can treat gravitational waves as linear.)
There is no need for "gravitational energy" or "gravity as a force like electromagnetism" or anything besides curvature and geodesics (and a metric, so we can actually make measurements like distances) that dynamically depends upon the distribution and motion of particles/fields/etc. within the universe.
One place you may wish to look for a potentially accessible explanation is in Wikipedia's "Gravitational wave" or the reference Burt gave in Scruffy's blog. If you wish to delve into greater detain, feel free to follow the references these references provide. (Burt's reference refers directly to Misner, Thorn, and Wheeler's Gravitation, which can be quite difficult for the layman. However, I may be able to help you, if you are willing.)
You do end with "I'd love to learn", but I have to question whether you mean actually learning what General Relativity has to say on this matter, or whether you are referring to something else. If you are willing to learn what General Relativity has to say on this issue, I may be able to help you.
'Til then.
David
More Re: More and more Shinola
January 2, 2008 by jarnold, 1 year 26 weeks ago
Comment id: 26731
David,
I think if I’ve been “absolute†you’ve been “relativistic†(in the philosophical sense). You write that “‘quantum theory' is far from a singular. In fact it's something more like a theory of theories…. So it's rather difficult, if not impossible, to characterize 'quantum theory' as treating gravity as or not as a 'force', of some kind.â€
If there’s some school of quantum physics which holds that it’s unjustifiable to consider gravitation a force, or to believe a gravitational wave can carry energy, I’m not aware of it. Are you? Or do you raise this as a hypothetical of the kind that would render any definite (absolute) position untenable in principle?
You wonder if I believe “if we were to cease and desist in any attempt that even smells of treating gravity as ‘force’ or related to ‘energy’, then all would be far better.†Yes.
“I'm not sure it would be proper to characterize the way [string theory] tries to incorporate gravity as ‘force’-like, except that it is a fair example of a theory/model that tries to use the success of General Relativity as a guide by trying to treat all ‘forces’ (interactions, really) as curvature (in a higher dimensional spacetime).â€
My understanding of the concept of “strings†is that they are identifiable entities which embody or transmit force (choose any definition you like), which in terms of gravitational geometry I find to be wildly speculative and absolutely incoherent. (More on absolute statements below.)
“So, Jim, at this point it appears that your greatest enemy is your own predilection for "absolute" statements. Have you not learned that, especially in matters of science, such are seldom, if ever, fully valid?â€
Physics is built upon mathematical statements that are absolute. The tenets of special and general relativity are expressed as absolutes. The fundamental tenets of quantum physics are absolutes. I suggest to you that we tend to find absolute statements objectionable when we are loathe to abandon the beliefs the absolutes are threatening, and we’re unable to effectively defend our beliefs directly (or absolutely), without abstract relativism or obscurantism.
I've tried to show as methodically as I can that there is no empirical or even coherent transition from the concept of gravitation as a curvature of spacetime to gravitation as a force or a carrier of energy. You've raised speculative hypotheses that presume a transition. A hypothetical presumption doesn't undermine an absolute, and it doesn't render absoluteness objectionable. I illustrated in the beginning, in a specific narrative of a thought experiment, how force enters into combination with gravitation-as-curvature. Unless a specific counter example can be offered, where gravitation itself is shown to be force-like, the distinction between gravitation and force seems absolutely clear.
Re: More Re: More and more Shinola
January 2, 2008 by Halliday, 1 year 26 weeks ago
Comment id: 26738
Jim:
What you appear not to be able to grasp is that the "absolutes" of "mathematical statements that are absolute" such as the "tenets of special and general relativity" or the "fundamental tenets of quantum physics" are all model dependent. Hence, they are never absolutes unless one "absolutely" adheres to their respective models. So long as one is trying to understand what is "actually" the nature of this universe in which we reside one must recognize that any model is tentative, and, hence, not absolute.
As I alluded to in my previous response, there are ways in which your "tenets" can be made defensible. Perhaps now is as good as any to present such to you.
First, there is the matter of distinguishing the effects of gravity from those of "true" forces (like electromagnetism). If one restricts oneself to the apparent four dimensional spacetime (manifold) (assuming that there are no additional, even compact, dimensions; that spacetime is a continuum; etc.) then one can certainly distinguish between the motion of free neutral test particles (at least to the extent that any actual particles can be said to actually approximate such), which one can "define" as geodesic motion, vs. non-geodesic motions. This distinction is independent of any assumed or actual motions of whatever "box" such experiments may be contained within.
Second, there is the issue of distinguishing when a "gravitational field" exists. As I pointed out several posts ago, there are multiple choices available for defining what is meant by the "existence" of a "gravitational field". Unfortunately, you have yet to make your choice. (I would hope it's reasonably apparent how one would go about determining said "existence" once one has chosen what such means.) However, at this point, let's just assume a choice has been made, and, since all of the definitions I presented would agree that a region with nonzero spacetime curvature (in its most general form, meaning a nonzero Riemann curvature tensor) is a region where a "gravitational field" exists, let's assume that all the remaining discussion refers to such a region of spacetime.
Third, there is the matter of distinguishing the effects of gravity from those of other inertial (pseudo,"false") "forces" (those that result from observing particle motions from any sort of non-inertial "reference frame"). With regard to this issue there is the little "problem" that if spacetime is curved there are no inertial reference frames definable. In fact, within Differential Geometry (the language of General Relativity), so long as spacetime has nonzero curvature, at least somewhere within it (as we observe everywhere near us), then all observers must cope with the realities of making observations from a non-inertial standpoint. Furthermore, all non-inertial "reference frames" are "equivalent" (just as good as any other, at least up to some measure of mathematical ease), from this point of view. (This is the "relativism" of "acceleration", or, rather, the "relativism" of non-inertial "reference frames" that is embodied within General Relativity.)
This is why I've maintained that, in general, there is no theoretical way (let alone any practical way) one can uniquely distinguish between geodesics that are gravitational vs. "other" geodesics caused by non-inertial motion. (You have expressed incredulity at the idea of geodesics due to inertial "forces". You appear to have the supposition that all inertial "forces" are actually manifestations of an application of "true" forces upon something. May I suggest you simply consider rotations: No more an imposition of external "true" forces as non-rotation.)
However, for the sake of this discussion (hopefully not an "argument"), let's assume that there exists some method for separating "purely" gravitational geodesic motions from "other" geodesic "motions" cause by other non-inertial aspects of one's observations. (Supposing that somewhere buried within Differential Geometry, at least within General Relativity, there is some mechanism that can be used to disentangle these contributions to geodesic motions.)
Then there remains your assertion that because gravitational motions (geodesics) are distinguishable from those of (at least "true") forces, and based upon an apparent assumption that the only way "energy" can come into play is via "forces", then gravity can have nothing (directly, at least) to do with "energy". Hence, your assertion that even if there are gravitational waves predicted by General Relativity, that such can, in no way, be "a carrier of energy".
This is what is most untenable of all your assertions. You admit that gravitational waves (as predicted by the fundamental equations of General Relativity) may exist and travel, but you appear to refuse to allow that they may, in any way, cause or allow a source system to lose or decrease in energy, while causing or facilitating a receiving system to gain or increase in energy. (I hope you do recognize that General Relativity conserves energy, actually the mass-energy-momentum-stress tensor of all objects/things/energies/substances/etc. within the universe, in an absolute way, just as with all prior classical theories.*)
If this statement is not a correct characterization of your position, please let me know. Otherwise, I will consider addressing this issue from within the General Theory of Relativity. (Fortunately, I went to my office today and retrieved my General Relativity texts.)
David
* Please don't confuse the mass-energy-momentum-stress tensor with my comments about the failed attempts to determine some form of energy-momentum-stress of the gravitational field itself. I'm sorry I ever mentioned such, since I have seen it divert your thinking more than once.
End Of Einstein
January 28, 2009 by Anonymous, 22 weeks 3 days ago
Comment id: 34051
Kepler (demolish) Vs Einstein's
Ending Einstein's space jail of time in 2009 that led to fraud Symbol E=mc²
Areal velocity is constant: r² ?' =h Kepler's Law
h = 2? a b/T; b=a? (1-?²); a = mean distance value; ? = eccentricity
r² ?'= h = S² w'
S = r exp (? wt); h = [r² Exp (2iwt)] w'=r²?'
w' = (?') exp [-2(i wt)]
w'= (h/r²) [cosine 2(wt) - ? sine 2(wt)] = (h/r²) [1- 2sine² (wt) - ? sin 2(wt)]
w' = w'(x) + ? w'(y) ; w'(x) = (h/r²) [ 1- 2sine² (wt)]
? w'= w'(x) – (h/r²) = - 2(h/r²) sine² (wt) = - 2(h/r²) (v/c) ² v/c=sine wt
(h/ r²)(Perihelion/Periastron)= [2?a.a? (1-?²)]/Ta² (1-?) ²= [2?? (1-?²)]/T (1-?) ²
? w' = [w'(x) – h/r²] = -4? {[? (1-?²)]/T (1-?) ²} (v/c) ² radian per second
{x [180/?;degrees]x[100years=36526days;century]x[3600;seconds in degree]
? w" = (-720x36526x3600/T) {[? (1-?²]/(1-?)²} (v/c)² seconds of arc per century
This Kepler's Equation solves all the problems Einstein and all physicists could not solve
DI Her Binary starts systems
The circumference of an ellipse: 2?a (1 - ?²/4 + 3/16(?²)²- --.) ? 2?a (1-?²/4); R =a (1-?²/4) v=? [G m M / (m + M) a (1-?²/4)] ? ? [GM/a (1-?²/4)]; m<
More and more Shinola
December 28, 2007 by jarnold, 1 year 27 weeks ago
Comment id: 26642
David,
You wrote: “I wouldn't say that any ‘identification of gravitation with 'true' force’ is ‘ubiquitous’ (except possibly in your mind).â€
You are of course familiar with quantum theory, and with string theory, just the most prominent examples. I’m trying to imagine what you’re thinking here. I specified “true†force because you’ve frequently invoked the “pseudo†forces, and I hoped to avoid that digression. It seems I’ve stepped on a mine while trying to avoid a trip-wire. Maybe we could be a little less crafty and interpret each other in the interest of productive communication. Gravitation is treated as a force in quantum theory. Let’s just go with that.
“I have never seen… ‘non-empirical, non-four dimensional models’ ‘routinely, implicitly, and illegitimately treated as givens.’ They are only given/proposed/used/etc. as theories and/or models.â€
You’ve done it yourself, and repeatedly. I’ve described empirical tests that demonstrate the absolute distinction between gravitation and force (substitute any term you prefer to describe non-gravitational phenomena I’ve described) in our empirical, four-dimensional universe, and you’ve invoked non-empirical, non-four dimensional or super-galactic models to suggest that they undermine the distinction. If they aren’t “givens†then their relevant effects need to be confirmed before they in any way diminish empirical “givens†like the behavior of test particles in a box.
“I would not say that any such [model] is any less legitimate than any four dimensional model.â€
The four-dimensional spacetime continuum has been (I don’t think it’s too strong a word) legitimized by various experimental confirmations. Models in excess of four dimensions have less scientific legitimacy, to say the least. You’ve accused me elsewhere of “crankdom.†I don’t know how I would categorize your statement, except to say it’s astounding.
“what is the nature of the motion of a free neutral test particle undergoing any of your listed inertial (pseudo, "false") "forces" (free of any "true" forces)? Are not such motions geodesics? If so, then how are these geodesics to be distinguished from any other geodesics?â€
No. I’ve already described the behavior of test particles in a box under centrifugal acceleration - not "free of any 'true' force", I don't know what empirical "pseudo' force that would be. it would be astounding if you would want to describe the effects of centrifugal acceleration (due to the application of force) as geodesic. Are you referring to some hypothetical "pseudo" force no one has ever seen?
“Often times you have suggested that the geodesics of such inertial (pseudo, ‘false’) ‘forces’ will be divergent while gravitational geodesics will be convergent (apparently relying upon an unspoken ansatz [one that appears to rely upon an assumption of a central concentration of mass]). This is why I brought up the observed ring/torus of ‘dark’ matter.â€
First, gravitational geodesics can be divergent if, for example, motion of a box is perpendicular to a gravitational field. Second, as you know, the nature and the effects of “dark†matter are still in question, and in any case, the effects are galactic. If there is any reason to think “dark†matter might indicate an equivalence of gravitation with force when controlled empirical tests in our vicinity show no equivalence, when controlled empirical tests leave nothing paradoxical such that recourse to an influence by a ring/torus might promise some plausible avenue of resolution, I can’t imagine what it would be. Can you? Frankly, you seem to be throwing the idea out like nails in the road during a car chase.
“If your ‘box’ was placed within a similar ring/torus, especially if the ring/torus was spinning/rotating (and practically everything we observe in this universe spins/rotates, besides, in order not to have such collapse under its own gravity one would almost certainly need it to spin/rotate) you would observe motions of free neutral test particles, within the box, that would be quite indistinguishable from having the box spin/rotate in a region of space devoid of such a massive ring/torus.â€
First, such an effect would be no different from tidal effects, except centrifugal instead of centripetal. And inasmuch as the influence of such a ring/torus has not been observed to have noticeable effects in our vicinity, or in any sub-galactic vicinity, inasmuch as it would presumably be of such dimensions that its complete rotation would take millions if not billions of years, its effects would be flat in the extreme… so why don’t we just pretend it’s not an issue here.
“This is only one of an innumerable set of such possible examples.â€
No doubt, and each one evidently credible enough to make “lyin’ eyes†of the effects you observe in a box.
“Basically, given any example of motions of free neutral test particles within a ‘box’ under the influence of whatever inertial (pseudo, ‘false’) ‘forces’ one wishes to conjure up, one may find a distribution of mass-energy-momentum-stress such that those same motions may be attributed to gravity. (Geodesics are geodesics, after all.)â€
I’d still like to hear a specific description of the effects one could actually observe in a box. Please conjure one that would render the distinction between gravitation and force invalid.
“This is also why I brought up the ‘box’ in orbit around the Earth…. did you notice that the few test particles you used undergo divergent geodesics, similar to your assertions for non-gravitational inertial ‘forces’?)â€
Similar, but not identical. Therefore, “different.â€
Yes, I’m frustrated. Let’s not throw nails in the road anymore.
Re: More and more Shinola
December 31, 2007 by Halliday, 1 year 26 weeks ago
Comment id: 26705
Jim:
You quote me with
After which you respond with
I'll get to the reference to "quantum theory" and "string theory" a little later.
First, the only "mine" field I see has been lain by you. Most specifically with your use of absolute statements like "ubiquitous", "routinely, implicitly, and illegitimately treated as givens", "absolute distinction between gravitation and force". So what I was commenting on, above, was your use of "ubiquitous", not your reference to "true" forces. (I'm sorry you appear to have misunderstood this.)
Then you go on to rail about so much else you have misunderstood (or intentionally misconstrued). I'll skip all that, at least for now.
Now, let's return to the "quantum theory" and "string theory" references.
First and foremost, "quantum theory" is far from a singular. In fact it's something more like a theory of theories, at least in its present form. Or, perhaps, it would be more reasonable to characterize it as an approach or methodology toward the creation of theories that are "quantum" in nature. So it's rather difficult, if not impossible, to characterize "quantum theory" as treating gravity as or not as a "force", of some kind.
Early, non-relativistic "quantum theories", if they even looked at gravity, did treat it as a force in the same manner as Newtonian mechanics (after all, early "quantum theory" stemmed from a reassignment of differential operators for classical quantities like energy and momentum). Then, after the advent of relativistic "quantum theory" it was quite natural to try and incorporate gravity via General Relativity's curved spacetime (an approach you appear to endorse in some of your posts where you declare there to be an "absolute" distinction between gravity and "forces" of any kind or nature—suggesting that if we were to cease and desist in any attempt that even smells of treating gravity as "force" or related to "energy", then all would be far better).
Unfortunately, as I tried to point out in my first post, all such attempts that have tried to incorporate General Relativity's curved spacetime in any dynamic form (so the "quantum particles/fields", and their associated mass-energy-momentum-etc., "properly" give rise to the source term for the spacetime curvature) have ended in predictions that are violently inconsistent with observed reality. (Talk about "non-empirical".)
So, at this point, there are multiple "quantum theories" that try to incorporate gravity, in various ways. "String theory" is only one of many such.
Now, I certainly cannot claim to be an expert in "string theory", but I'm not sure it would be proper to characterize the way in tries to incorporate gravity as "force"-like, except that it is a fair example of a theory/model that tries to use the success of General Relativity as a guide by trying to treat all "forces" (interactions, really) as curvature (in a higher dimensional spacetime). (Admittedly, it also does a great many other things, like treat particles as "strings" or higher dimensional "brains", and incorporating "super symmetry".)
So, Jim, at this point it appears that your greatest enemy is your own predilection for "absolute" statements. Have you not learned that, especially in matters of science, such are seldom, if ever, fully valid?
I hope you understand now.
David
P.S. My first attempt at a response was primarily focused on what statements you could make that would be at least defensible. With the final emphasis on what you have been asserting that can in no wise be construed as defensible, unless you wish to challenge the field equations of General Relativity, as opposed to your assertion that you only challenge certain interpretations thereof.
I'll attempt this process again, later.
Re: Re: Shinola stuff
December 27, 2007 by jarnold, 1 year 27 weeks ago
Comment id: 26606
David,
You wrote: “I say it again. Other than to point out that there are theories/models wherein all forces are handled via curvature (so all motions are geodesic), I have never tried to suggest that within a purely four dimensional framework (such as General Relativity) one would not be able to distinguish between the purely geodesic motions of pure gravitation (independent of whether the curvature is non-zero) and the non-geodesic motions caused by non-zero net ‘true’ forces.â€
Then you’ll agree that the ubiquitous identification of gravitation with “true†force is based on non-empirical, non-four dimensional models which are routinely, implicitly, and illegitimately treated as givens.
“I recognize that you appear to think that [pseudo, or false forces] [are] distinguishable [from gravitation]. However, such distinguishability is illusory…â€
I’ve tried to get you to describe one of these pseudo forces, assuming you’re referring to something other than the Coriolis, or centrifugal or centripetal “forcesâ€, which can most definitely be directly attributed to true forces and distinguished from gravitation. If they are hypothetical, dependent on non-empirical, non-four dimensional or multiple-universe models, they don’t undermine or refute the empirical distinction between gravitation and force (and pseudo-force).
Re: Re: Shinola stuff
December 27, 2007 by Halliday, 1 year 27 weeks ago
Comment id: 26621
Jim:
You said:
First, I wouldn't say that any "identification of gravitation with 'true' force" is "ubiquitous" (except possibly in your mind). Secondly, for those who do "identif[y] gravitation with 'true' force", I cannot speak for why they may think this way or what their basis for such thinking may be. Thirdly, I have never seen any such "non-empirical, non-four dimensional models" "routinely, implicitly, and illegitimately treated as givens." They are only given/proposed/used/etc. as theories and/or models.
I can only point out that there is at least one approach that makes such an identification legitimate by way of making all motions geodesic motions. Furthermore, I would not say that any such is any less legitimate than any four dimensional model. Only careful predictions and experiment may tell the difference. (In fact, at the classical level, the level of General Relativity, there may, indeed, be no detectable difference. For such a case, the decidable criteria will be suitability for handling Quantum-type phenomena, or other cases beyond the classical.)
You then go on to say:
First, centripetal force refers to the central pointing force that leads to the non-inertial nature of the reference frame in which one supposes there is such a thing as a centrifugal "force".
Second, what is the nature of the motion of a free neutral test particle undergoing any of your listed inertial (pseudo, "false") "forces" (free of any "true" forces)? Are not such motions geodesics? If so, then how are these geodesics to be distinguished from any other geodesics?
Often times you have suggested that the geodesics of such inertial (pseudo, "false") "forces" will be divergent while gravitational geodesics will be convergent (apparently relying upon an unspoken ansatz [one that appears to rely upon an assumption of a central concentration of mass]). This is why I brought up the observed ring/torus of "dark" matter.*
If your "box" was placed within a similar ring/torus, especially if the ring/torus was spinning/rotating (and practically everything we observe in this universe spins/rotates, besides, in order not to have such collapse under its own gravity one would almost certainly need it to spin/rotate) you would observe motions of free neutral test particles, within the box, that would be quite indistinguishable from having the box spin/rotate in a region of space devoid of such a massive ring/torus.
This is only one of an innumerable set of such possible examples. Basically, given any example of motions of free neutral test particles within a "box" under the influence of whatever inertial (pseudo, "false") "forces" one wishes to conjure up, one may find a distribution of mass-energy-momentum-stress** such that those same motions may be attributed to gravity. (Geodesics are geodesics, after all.)
This is also why I brought up the "box" in orbit around the Earth. (By the way, I'm glad to see you made some attempt at the exercise. I'll get back to your work on it another time. However, did you notice that the few test particles you used undergo divergent geodesics, similar to your assertions for non-gravitational inertial "forces"?)
See, no need to appeal to "hypothetical, dependent on non-empirical, non-four dimensional or multiple-universe models".
David
* The ring/torus of "dark" matter is not some otherworldly hypothetical construct. It was observed based upon gravitational lensing (another highly successful prediction of Einstein's General Theory of Relativity). The matter is called "dark" matter because there appears to be no way to observe it besides its gravitational effects (gravitational lensing, orbits of other objects, etc.)
** When I refer to "mass-energy-momentum-stress" or an "energy-momentum-stress tensor" I'm referring to the source of spacetime curvature (the distribution of mass, and such, in the universe). Please don't confuse such with my mentioning of attempts to illicit something similar from the gravitational field itself.
As I pointed out in my first post, such attempts at identifying some "energy-momentum-stress" in the gravitational field does not have a tensorial character, and, hence, is not well defined (or local).
Perhaps I should have never mentioned such attempts. Perhaps it has served nothing but to cloud your understanding of what I havbe been trying to help you understand.
Re: Shinola stuff
December 26, 2007 by Halliday, 1 year 27 weeks ago
Comment id: 26589
Jim:
I hope you've had a good Merry Christmas. :-)
I'm amalgamating some of my responses to three of your latest posts* here, since you have an issue in common in all three.
The issue is that you continue to act as if you haven't recognized that (other than theories/models that use curvature to explain all forces**) I have never argued that one cannot distinguish between purely gravitational effects (geodesic motion), at least when the local curvature is non-zero, and the effects of non-zero net "true" forces (deviations from geodesic motion, what you appear to want to label as "inertial acceleration").
Even though I do point out that there is no operational or theoretically available distinction between gravitational effects and the effects of any of an innumerable set of inertial (pseudo, "false") "forces"*** (at least so long as the spacetime is not completely flat, since all produce geodesic motion, in the absence of "true" forces), I have never suggested (other than the "everything is curvature" theories) that any such could not be distinguished from "true" forces (that cause a deviation from geodesic motion).
The problem is that you continue as if I had argued otherwise. This is why I have stated, before, that you treat me as if I was your enemy/nemesis/whatever.
If we are to have any sort of productive exchange you must recognize what I'm actually saying.
I say it again. Other than to point out that there are theories/models wherein all forces are handled via curvature (so all motions are geodesic), I have never tried to suggest that within a purely four dimensional framework (such as General Relativity) one would not be able to distinguish between the purely geodesic motions of pure gravitation (independent of whether the curvature is non-zero) and the non-geodesic motions caused by non-zero net "true" forces.****
David
* The three posts are Re: The phenomenology of Shinola and other stuff, part 2, Shinola exercises, and Re: Re: The phenomenology of Shinola and other stuff.
** Basically, such "everything is curvature" theories/models take the approach that if it worked for gravitation, why not the other forces? One may certainly argue as to whether such theories have, thus far, been successful, or not, and whether such is "the right approach". However, they exists, and have been at least somewhat successful, at least at the same classical level as General Relativity.
I would hope that you recognize that different free neutral test particles released with different initial velocities (from the same spacetime point) will follow different geodesics. Well, the same is true in these "everything is curvature" theories: The reason different types of particles (non-neutral particles with various "charges") follow different geodesics, even if their initial four-velocities are the same (at least proportionately), is that their various "charges" give rise to various additional components of their full (higher dimensional) velocity. So they follow different geodesics because in the full set of dimensions their initial velocities are different.
*** I recognize that you appear to think that such is distinguishable. However, such distinguishability is illusory, unless, possibly, one knows, a priori, what the local spacetime curvature is (basically via an ansatz, as you yourself have engaged at various times). All inertial (pseudo, "false") "forces" enter into the motions in precisely the same way as gravity. The only time one has any ability to transform these away is when the entire spacetime is flat. (If the local spacetime is flat, then one may transform them all away locally, including gravity, but this still leaves its mark on the surrounding spacetime in such a way that questions of what is gravity and what are "other" inertial "forces" is still undecidable, without some ansatz.)
(Actually, even when the local spacetime is not flat one is always able to transform all inertial "forces", including gravity, away "locally". Its just that "locally" becomes far more restricted. Under this condition, exact cancellation can only occur at a single point, while for any finite level of precision there is a neighborhood of this point that exhibits no inertial "forces", including gravity, up to said level of precision.)
**** What I believe is the most general and true statement is that since the success of General Relativity one can no longer hold to the Newtonian concept that gravity is just as much a "true" force as electromagnetism and the nuclear forces (strong and weak), while asserting that all inertial (pseudo, "false") "forces" are most definitely not forces.
Re: Re: The phenomenology of Shinola and other stuff
December 23, 2007 by jarnold, 1 year 27 weeks ago
Comment id: 26571
David,
I’ve had a little time to return to your earlier point about evaluating hypotheses and grandness of vision.
You wrote: “If we are to be able to unify that which is described by our, arguably, two greatest theories (General Relativity and Quantum Mechanics); or if we are to ever hope to create methods of traveling (effectively) faster than the speed of light (or, in other words, if we are to ever hope to visit any of the wondrous places in our vast universe, outside out very restricted, parochial experience in and near this rock upon which we reside), then we need thinkers that can handle a far greater range of circumstances than what we have locally.... Unfortunately, Jim, you are showing yourself to be insufficient to the task. Your "real world" is far too restricted. (I, and others, have no problem explaining all that lies within your "real world". So I most certainly don't mean that your "real world" is too "restrictive". The difference is I, and others, have a viewpoint [or viewpoints], and theories, that can extend far beyond your "real world" to encompass much more that is possible, to say nothing of that which has been, and will yet be observed within our universe.)â€
Regarding the unification of General Relativity and Quantum Mechanics, if gravity is recognized as nothing more than a property of mass, rather than a force, there’s no need for unification, the task of QM becomes much simpler, and therefore more promising.
You believe you and others “have no problem explaining all that lies within [my] ‘real world’â€, yet you haven’t explained how -- if in controlled, local experiments, gravity (the noun) is nothing more than a geometric distortion of spacetime, and gravitation (the verb) is nothing more than geodesic motion in a gravitational field -- larger-scale or hypothetical gravitational phenomena become (presto) manifestations of force and energy.
Your aspirations are commendable, but sometimes one has to choose between aspiration and devotion. Am I limiting myself by insisting on building upon elementary empirical principles, or are you restraining yourself by your devotion to a flawed paradigm that could only spin fictional hypotheses? That seems to be the ultimate question between us.
Shinola exercises
December 23, 2007 by jarnold, 1 year 27 weeks ago
Comment id: 26567
David,
Being a good professor, you’ve given me exercises to perform. As you say, they “are far from being as trivial as [my] other thought experiments.†The most important point remains, though, that the behavior of the test particles in both exercises are distinguishable from test particles in a box being accelerated by a force. That, after all, remains the issue between us.
In the first exercise, I (we) are asked to “consider a box in orbit around the Earth. Let's start by considering the box to be orbiting in such a way as to maintain one side always facing the Earth, so we have the "floor" being the side facing the Earth, the "ceiling" facing away from the Earth, the "front" facing the direction of "travel" of the orbiting box, in opposition we have the "back", with the "left" side being on the left and the "right" side on the right of an astronaut facing the "front". The question, then, is what will be the motions of free neutral test particles within this box? Especially, what will be the motions of the subset of such particles that don't hit any of the sides of the box?â€
Test particles that are placed in the box with relative motion will of course bounce around the box. Test particles that are placed in the box without relative motion will begin to separate slightly toward the walls, depending on their placement. Those that are closer to the “floor†will tend more toward the “floor†and the “frontâ€, as their geodesics have greater curvature than the box as a whole, and their velocity is greater than is required for a stable orbit at their relative elevation from the earth. The influence on particles closer to the “ceiling†will be opposite. The behavior of particles in the spherical container will have a similar separation, and the characteristics of their separation can indicate the direction of the earth.
In all cases, the tendency to separation will be different from particles in a box or sphere being accelerated by a force – the latter will have the same apparent acceleration toward the walls no matter where they are placed (although they may separate or converge if the force is centrifugal or centripetal). Can we return to that point?
Jim
Re: The phenomenology of Shinola and other stuff, part 2
December 22, 2007 by jarnold, 1 year 27 weeks ago
Comment id: 26560
David,
[I wrote the following before I noticed your more recent, most interesting post. I’ll have to address it later.]
You may be disappointed. I wonder if you’re more disappointed than I am. You’re asking me to consider multiple universes and giant rings of dark matter that may undermine my position in some unspecified way (who could say?), before you’ll consider the behavior of two test particles in a box to be persuasive. Forgive my frivolity, but time may run backwards in Universe D11, gravity may be Newtonian on the Planet of the Apes, but I’m absolutely convinced that scientists in those places are primarily concerned with their own physical laws. I just wish they would jump in here at ScienceBlog with some learned advice on methodology – or ygolodohtem no ecivda, as the case may be.
You mentioned Occam's razor. I’d like to say to everyone, among whom you are just the most patient and articulate representative: Why don’t we proceed with just our one empirical world, with one set of empirically-established physical laws, before imagining how they might be effected if it turns out we’re just, say, the lint in some higher being’s navel (pierced with a safety pin of dark matter). I think I’m right about this: It’s the way good scientific methodology is supposed to be practiced.
I’ve argued that there is no controlled experiment in this world of accepted science where test bodies moving in geodesics in a gravitational field (with non-zero curvature) can be observed to behave like test bodies being accelerated (directly or indirectly) by a force. It’s a testable claim. By scientific standards, it prevails against un-testable models or hypotheses. But no one, it seems, wants to confront the issue, no one wants to give up a cherished doctrine.
Moving on to your earlier post, I think everyone’s concern, and aversion to “looking through Galileo’s telescopeâ€, is expressed in your question: “Are you aware that if we can never detect gravitational waves that the theory of General Relativity may be in real trouble?â€
I think you mean energy-bearing waves, because I’m not claiming that changes in curvature aren’t propagated as waves of changing curvature. I’m not an expert on the field equations, but I believe the stress-energy tensor can be simply dropped, leaving the rest of the structure intact, leaving the association of gravitation with force and energy behind. If not, some modification of the remainder should be possible. My belief in this stems from the coherence of the concept of gravitation as a curvature or distortion of spacetime, and of its affects on geodesic motion. So yes, I am taking issue with an aspect of GR, but no, I don’t think it’s life-threatening.
You wrote: “You appear to accept that ‘as the tides make clear’ that a moving mass can, indeed, cause motions that can be quite energetic (when integrated over the very significant volumes affected, at least in the case of the tides). Whether one wishes to use the term ‘energy’ in this regard is semantics. The reality is that energetic processes ‘happen’, and are well associated with the movement of at least a nearby object.â€
This isn’t semantics. The orbit of the moon would require a great deal of energy if it weren’t for a geometric effect that makes it a curved geodesic path. No one seems to be attributing the moon’s orbit to force anymore. The changes in the local geodesics on earth produced by the changes in the relative position of the moon are no different, except they stress molecular binding energies, and in aggregation, produce massive dislocations of large fluid bodies. The effect is wave-like. Given a clear distinction between gravitation and force, by the application of Occam’s razor there is no need (and certainly no evidence) to support an additional wave-like, energy-bearing effect from cosmological sources. Is it justifiable to continue to look for such an effect? I suppose it depends on the budget.
“I could certainly understand a ‘layman’ like explanation using an ‘energy’ (and maybe even a ‘force’) like argument in order to try and convey the concept of gravitational waves, but I have yet to see a truly General Relativistic argument made in such terms. I don't know, I'm just trying to make sense of where you actually stand.â€
Given the seminal concept of gravitation in GR, of the geometric effects of mass, in view of the inability to demonstrate an equivalence of gravitation with force and energy when they are considered in isolation, the aspect of GR that presumes an association of gravitation with force and energy can be seen as a legacy of the previous paradigm. To drop that aspect of GR is a simplification of physical theory, it brings theory back in line with empirical evidence. It could re-direct theoretical energies in productive directions. It could be good.
Re: Re: The phenomenology of Shinola and other stuff, part 1
December 21, 2007 by jarnold, 1 year 28 weeks ago
Comment id: 26544
David,
Thank you for responding. No problem about the “weasel†thing. I’m probably more like a domesticated marmot than a weasel anyway.
I may not have time to respond to your second post right now…
I’m inclined to believe there’s no place in the universe where curvature is actually zero, although it’s no doubt a legitimate construct for the purpose of illustrating a principle. I’ve used it myself to illustrate the nature of a “pure†inertial acceleration, “unadulterated†by gravitational curvature. But that relates to an issue you’ve brought into focus about the difference between empirical hypotheses or principles and mathematical models. I think it’s a mark of real progress that we’ve arrived at this point.
You wrote “depending on other circumstances, like the distribution of mass-energy-momentum-stress surrounding [a uniform gravitational field], there may, indeed, be a definable magnitude†of the field.
While there may be a workable mathematical model of such a region, I don’t believe we can point to a place in the “real world†where it’s been found to exist. It may be worthwhile to hold the model in stock to help explain some new discovery, or to apply in a novel way to some existing unexplained phenomenon, but it has no standing against any empirical hypothesis that is otherwise coherent and useful.
The same goes, I believe, with other constructs that would gray the distinction between gravitational and inertial accelerations, between gravity and force. The “extra, compact dimensionsâ€, “potentially uncountably many… inertial (pseudo, ‘false’) ‘forces’â€, and the scenario “when the whole spacetime manifold is flat†- these are perfectly legitimate as imaginations, some maybe even as hypotheses, but they should have no bearing on “real-world†questions or hypotheses.
Regarding your identification of gravitation with “pseudo†or “false†forces, I know of none of the latter in the “real world†that would not be betrayed as either manifestations of real forces, or as non-existent, if placed in a controlled experiment like the box we’ve been discussing. For example, a centrifugal “force†acting on the box, and indirectly on the test particles inside, unlike gravitation, would result in the particles initially seeming to accelerate toward a side (in this case separating as they did so, due to the radial acceleration of the box), and “sticking†there, and making impressions in the wall of the box if it were of a suitable material.
On the other hand, a “flat†gravitational field, even if one could be found, has no bearing on the question of whether gravity can legitimately be identified as a “forceâ€. The test particles would simply remain unmoving in the interior of the box.
I’m out of time. If you (David or anyone) has the time and inclination to write before I can resume, if there’s a instance of “pure†gravitation where it could be shown to behave like a force in a controlled experiment, I would be most interested in learning about it.
Jim
More Re: Re: The phenomenology of Shinola and other stuff, part
December 22, 2007 by Halliday, 1 year 27 weeks ago
Comment id: 26555
Jim:
I've thought of a few more things. (Sorry, I've been on vacation, so I have plenty of time. It has been nice to be away from the office. :-) )
First, you state:
Unfortunately, I can think of at least two* interpretations of your statement concerning "an issue you’ve brought into focus about the difference between empirical hypotheses or principles and mathematical models." So I'm not quite sure whether this is a positive development. I'm hopeful, though.
You then go on with (starting with a quote of me):
While there may be a workable mathematical model of such a region, I don’t believe we can point to a place in the “real world†where it’s been found to exist. It may be worthwhile to hold the model in stock to help explain some new discovery, or to apply in a novel way to some existing unexplained phenomenon, but it has no standing against any empirical hypothesis that is otherwise coherent and useful.
To your last assertion ("it has no standing against any empirical hypothesis that is otherwise coherent and useful") I'll say that in the sense that such cannot be used as an experimental verification or refutation of such an "empirical hypothesis", you are correct. However, as a hypothetical situation (like any thought experiment) that may be used to distinguish between one "empirical hypothesis" that "refuses" to work with such and another (more complete) theory that naturally includes such within its framework (without any special accommodation), I would have to say that it may be quite relevant.
Secondly, I'm beginning to believe that your concept of the “real world†would have trouble with even nearby, actually realizable experiences.
For instance, consider a box in orbit around the Earth. Let's start by considering the box to be orbiting in such a way as to maintain one side always facing the Earth, so we have the "floor" being the side facing the Earth, the "ceiling" facing away from the Earth, the "front" facing the direction of "travel" of the orbiting box, in opposition we have the "back", with the "left" side being on the left and the "right" side on the right of an astronaut facing the "front". The question, then, is what will be the motions of free neutral test particles within this box? Especially, what will be the motions of the subset of such particles that don't hit any of the sides of the box?
Another instructive way of looking at essentially the same scenario may be to consider letting the "box" be a spherical shell, so symmetry allows us to ignore any issue of whether the "box" is "rotating" or not. (So any question of inertial "forces" may be avoided.) Then one may simply ask: What subset of geodesics (orbits) will always remain within the confines of the "box" without ever touching any of the walls?** Then one only needs to consider what such orbits will look like to an astronaut within the "box"? (This is to be considered because such is the nature of your other thought experiments.)
In both of the above scenarios (or two ways of looking at a single scenario, depending on how one looks at it) it is permissible to do it all within the framework of Newtonian mechanics and gravitation, since relativistic corrections are sufficiently small that the major features are all captured via the Newtonian approach.
If you attempt these exorcises at all I will think far greater of you for the effort. I expect you will find that these “real world†scenarios are far from being as trivial as your other thought experiments.
I wish you well.
David
* Perhaps this is a problem with my flexibility in being able to see multiple perspectives. :-)
** One may use the cylindrical symmetry of the system to reduce all the orbits to a class of orbits having their major axis and apogee all in the same direction, as seen from a vantage point along the axis of rotation. In addition, one has reflection symmetry above and below the plane of the "box's" orbit.
Re: Re: The phenomenology of Shinola and other stuff, part 1
December 21, 2007 by Halliday, 1 year 28 weeks ago
Comment id: 26547
Jim:
I'll reserve complete judgment until you've been able to respond to all I've posted (I know I posted a couple of very long messages). However, so far, I'm very disappointed.
Yes, it is true that our experience is sufficient to rule the scenario of “when the whole spacetime manifold is flat†as inconsistent with this universe. But what of other universes? Just because a scenario is inconsistent with our universe, should that preclude us from being able to develop a framework that can encompass such? (Especially when it costs us nothing, as is the case withing General Relativity.)
Far beyond this, none of your other scenarios can be dismissed out of hand, simply due to the very narrow range of our experience. Besides, what would you expect of free neutral test particles within a box surrounded by a massive ring? (Say the extremely massive, and huge, dark matter ring that has been observed within our universe.) Or what about positioning your box in orbit about a spinning black hole? (I say "in orbit" so as to have it in "free fall", or as close as possible.) What would be the motion of free neutral test particles within the box if the box is set to orbit in such a way that (at least for a period of time) it maintains a constant orientation with respect to the distant stars. What if it had a different rotation?
If we are to be able to unify that which is described by our, arguably, two greatest theories (General Relativity and Quantum Mechanics); or if we are to ever hope to create methods of traveling (effectively) faster than the speed of light (or, in other words, if we are to ever hope to visit any of the wondrous places in our vast universe, outside out very restricted, parochial experience in and near this rock upon which we reside), then we need thinkers that can handle a far greater range of circumstances than what we have locally.
Unfortunately, Jim, you are showing yourself to be insufficient to the task. Your "real world" is far too restricted. (I, and others, have no problem explaining all that lies within your "real world". So I most certainly don't mean that your "real world" is too "restrictive". The difference is I, and others, have a viewpoint [or viewpoints], and theories, that can extend far beyond your "real world" to encompass much more that is possible, to say nothing of that which has been, and will yet be observed within our universe.)
As I said, I'll reserve complete judgment until you've been able to respond to all I've posted. But at this point, I'm very disappointed.
Take care.
David
Why spoil a grand exit?
December 19, 2007 by Gadfly, 1 year 28 weeks ago
Comment id: 26531
Jim writes:"...why is it so important to you that David doesn't do as he's said he would - provide specific examples of how I'm wrong?"
David said nothing of the sort. He recapitulated the whole discussion and was clearly fed up with you, but he laid everything out from beginning to the end of this trajectory.
For him to respond to this would take him and any readers who are left on another time-wasting and pointless path, repeating the same arguments that you have failed to grasp,
He made a fine exit, and wished you farewell.
This is my last bite on this thread.
I'm sure you will respond.
I hope that will be followed by silence.
Enough already!
This bite of realism brought to you by "Gadfly."
Thank you, "gadfly', but I'm ready to face it
December 19, 2007 by jarnold, 1 year 28 weeks ago
Comment id: 26530
"gadfly", why is it so important to you that David doesn't do as he's said he would - provide specific examples of how I'm wrong? Why are you protecting me? What are so you afraid of that you would encourage someone else to go back on their word? I appreciate your support, but really, I can deal with it if you can.
BTW, the reason you can't distinguish between 1) the acceleration of an elevator (or "chest" in Einstein's description) in space and 2) it's station on the earth's surface (leaving aside the issue of curvature or a "uniform gravitational field") is that both involve inertial acceleration. On the earth's surface a body suspended by a rope from the ceiling of the elevator is prevented from following its geodesic, i.e., from gravitating toward the earth's center of mass, by the tension of the rope, which causes it to accelerate out of its geodesic path. The latter case is a prevention of gravitation. So yes, leaving aside curvature, you can't distinguish them, because their equivalence is between inertial acceleration and inertial acceleration.
I hope that calms you a little.
David, stay away
December 19, 2007 by Gadfly, 1 year 28 weeks ago
Comment id: 26529
David, please don't even bother replying to Jim. You're right. There's nothing novel in his work, including his comment to me assuring that Einstein is safe:
He writes:
"If a gravitational field in the real world is 'uniform' it has no magnitude, or no detectible magnitude."
That seems to me a response of sorts to my earlier challenge to distinguish between these two possibilities for the frame of reference for an observer in the box:
(a) An inertial frame of reference in the presence of a uniform gravitational field of magnitude g;
(b) A non-inertial frame of reference experiencing a uniform acceleration of that same magnitude in the opposite direction.
Einstein's point was you can't distinguish them, and it seems Jim agrees after all. He just uses unconventional language and confusing terminology.
You made a great exit. No need for a curtain call!
This bite of realism brought to you by "Gadfly."
Re: David, stay away
December 20, 2007 by Halliday, 1 year 28 weeks ago
Comment id: 26536
"Gadfly":
First, please allow me to decide what I will or will not do, or whether I think the discussion is worth it. (I don't mean any disrespect in this, nor do I say this with any degree of anger.)
Secondly, when one is dealing with curved spacetime, there really are no "inertial reference frames" available or definable. In fact, in one of my textbooks on General Relativity (that, unfortunately, I left in my office at work) there is a good quote concerning how the fact that all observers must deal with being in non-inertial reference frames actually accomplishes Einstein's desired goal of the "relativity of acceleration". (Incidentally, Jim's response to you about how both of the situations you present [from Einstein] involve "inertial accelerations" is correct [though he is not entirely* correct about a uniform gravitational field having no "magnitude"].)
David
* He is correct that a uniform gravitational field (devoid of curvature), in the absence of any other references, has an arbitrary "magnitude" (including zero). However, depending on other circumstances, like the distribution of mass-energy-momentum-stress surrounding the location in question, there may, indeed, be a definable magnitude.
Re: Re: The phenomenology of Shinola and that other stuff
December 19, 2007 by jarnold, 1 year 28 weeks ago
Comment id: 26527
David wrote:
“One of the reasons I insist that all your terms be strictly defined, or 'nailed down', is because of the way you try to weasel out of any argument by apparently changing the definitions on a whim (changing the rules).â€
That’s a strong charge. I’m fairly sure you’d be deeply offended if I accused you of “weaseling.†It might, at least, be more appropriate if you leveled it as a conclusion rather than an opening.
“I ‘gravitate’ to distinguishing between geodesic vs. non-geodesic motion because it is well defined (determinable, at least in principle) in all cases (regardless of the nature of the curvature, or lack thereof). The only ‘difficulty of determining in some cases, by observation, whether a body is deviating from geodesic motion’ is in terms of experimental accuracy, as with any observational measurement.â€
I’ll quote you from 10/1/2007, where: “one can interpret them in other "reference frames" (general coordinate systems) wherein one will ‘see’ accelerations that one can interpret (admittedly from a standpoint instilled from Newtonian mechanics) as coming from ‘forces’.â€
I wouldn’t call it “weaselingâ€, but you’ve found my use of uniform, or geodesic motion grounds for digression, then later, my defense of not using it as inconsistency (or worse) and grounds for confusion.
“Your point 2 looses almost all it's power because it is not general enough. I have tried to help you see how this can be completely generalized (up to a point), depending on how you wish to ‘define’ the ‘existence’ of a "gravitational field". Unfortunately, instead, you have tried to weasel out of definitions. You have refused to learn greater generalizations. You simply don't appear able to move from your comfort zone in the very specialized subset of circumstances you find on and very near this ball of rock we reside upon, while the universe is far more vast and wondrous. (If you desire, I, and others, can help you take off your blinders, but we can't force you.)â€
I would think that you would justify your charge of “weaseling†by giving some example of the sort of generalization you have in mind, without being asked. But please, pretend you don’t think I’m a weaseler, or please, assume there is someone else who would benefit, and provide an example. But please, don’t let it be some mathematical construct that remains hypothetical, or that has no empirical basis, or that presumes an issue that I’m calling in question. A real-world generalization should be easy to describe in real-world terms.
“there are indeed ways of looking at things such that [gravitation] is, at least as much as any other inertial (pseudo, ‘false’) ‘force’ may be considered to be a ‘force’. (Note that these ‘inertial forces’ are not related to your ‘inertial acceleration’.â€
I’m sorry, that’s incorrect. (I assume you are referring to centrifugal, centripetal, and Coriolis “forces†– again you’re not being specific.) I’ve pointed this out before and you haven’t responded. All of them are manifestations of force, even though not “forces†themselves, and they can be identified as “my†inertial accelerations from any coordinate system, in a controlled experiment, as inside a box. Gravitation is uniquely different, as I've shown by the behavior of test bodies in a controlled experiment in a box.
“there are ways of approaching all the ‘true’ forces (electromagnetism… and the nuclear forces [week and strong]) such that they are just as much ‘geometry’ as is gravitation. What then? Now what appear to be deviations from geodesic motion (deviations from ‘free fall’) are simply new geodesics seen by certain types of particles. (Is this the way the universe works, or just a mathematical trick we physicists have dreamed up? Only specific testable predictions and experiments will ever determine that.)â€
Well, we should await confirmation, shouldn’t we? And given the implausibility of geometric distortions that affect different particles different ways, the hypothetical mathematics needn’t divert us from real-world considerations, should it?
“there are certain conclusions you arrive at, without justification, that are untenable. At least if the results/predictions of General Relativity are correct (as opposed to just certain interpretations, or ways of thinking about its nature)… unless one argues that the results/predictions of General Relativity are not correct. This is the point where your arguments cannot be made irrefutable.â€
What criticisms of GR have I made that violate its confirmations? Please be specific.
“you have chosen to cast me in the role of your enemy, nemesis, and a ‘defender of the faith’.â€
I haven’t accused you of being any of those. I’ve disagreed with you. I’ve engaged you in ways that I hope and believe have been more respectful of you than you have been of me.
More Re: Re: The phenomenology of Shinola and that other stuff
December 21, 2007 by Halliday, 1 year 28 weeks ago
Comment id: 26538
Jim:
Some somewhat separate issues...
You quote me with:
To which you respond with:
While you are correct that "confirmation" of testable predictions that differ from those of alternative explanations (like the "Standard Model") is an important criteria for choosing alternative theories and descriptions (as many have pointed out to you before), there is also the Occam's razor aspect of potentially choosing such a theory if it explains present measurements just as well but is simpler, or in some other way "preferable", such as due to its ability to handle circumstances outside the realm of alternatives (such as being able to be combined with General Relativity without "blowing up", for instance).
On the other hand, barring verifications of predictions that differ from alternatives, there's certainly nothing forcing anyone to abandon present models that have served us so well. (I certainly am not trying to suggest you do anything other than recognize that there are other ways of looking at such things.)
I recognize how it may appear "implausible" to have "geometric distortions that affect different particles different ways". I can agree (though I've seen how it is done both with Kaluza–Klein theory, and with a discrete spacetime model where all connections between points are geodesics and the different dynamics are due to the way different particles have different states in the fiber bundle space associated with the discrete manifold). Of course there was a time when curved spacetime was "implausible". Let alone the idea that different observers could have different times. (Of course this is to say nothing of some of the "implausible" aspects of Quantum Mechanics.)
Second, you quote me with:
... unless one argues that the results/predictions of General Relativity are not correct. This is the point where your arguments cannot be made irrefutable.
After which you ask: "What criticisms of GR have I made that violate its confirmations? Please be specific."
I suppose by "confirmations" you are restricting yourself to the "results/predictions of General Relativity" that have already been "confirmed"/verified. To this I would answer none, since you haven't been so careless as to call into question aspects of GR that have been well verified. However, if you had included the entire quote (the second ellipses, particularly), you will note:
Especially the last part of this chain is untenable, unless one argues ...
Since, as you even quoted me, I'm referring to whether you have been arguing against the proposition that "the results/predictions of General Relativity are correct (as opposed to just certain interpretations, or ways of thinking about its nature)". From the following (which starts with a quote of me)
Yes, with the exception of what I consider derivative issues, the association of gravitation with force and predictions of energy-bearing grav waves, I don’t think there’s anything of practical significance that I disagree with.
it would first appear that your sole "point of departure is exclusively in the interpretations of GR, not in the fundamentals of the theory or its predictions." (Your response of "Yes".) However, you then go on to impugn the General Relativistic "predictions of energy-bearing grav waves".
Since the General Relativistic predictions of gravitational waves is fully within the theory, not based on ("derivative", or derived from) an interpretation of GR wherein there is some "association of gravitation with force" (the latter association [of gravitation with any thing referred to as a "force] seems to be what you are primarily "railing" against), then, again, I must ask whether your "point of departure is exclusively in the interpretations of GR, not in the fundamentals of the theory or its predictions", or if you also call into question at least some aspects of the theory itself.
Are you aware that if we can never detect gravitational waves that the theory of General Relativity may be in real trouble? (I'm not talking about some detection of some theoretical particles that some interpretation of some amalgamation of Quantum Mechanics and General Relativity might suppose. That's a whole other matter.) Aspects of a theory that come under some "interpretation" can never be so critical to a theory, only fundamental predictions!
From a previous post of yours, you begin by quoting me:
To which you respond with:
Unfortunately, this is a little difficult to parse, especially the relevant portion (your ending question): "If a massive local gravity wave (the moon’s orbit, for example) doesn’t produce detectable energy, and (one would expect from its effects on the oceans) a shower of related particles, why should a distant source be expected to do so?" Are you suggesting that the "massive local gravity[sic] wave" in actuality "doesn’t produce detectable energy"? Or am I just parsing this incorrectly (possibly due to a misplaced coma)? Since your next parenthetical statement of "one would expect from its effects on the oceans" suggests that, possibly, you may be willing to attribute energetic influences in the lunar tides, I'm just not quite sure what this really means. (Incidentally, the [sic] is placed by "gravity wave" because "gravity waves" are something quite different from the "gravitational waves" we are, supposedly, discussiong. I know, the term "gravity wave" seems more apt, but, unfortunately, the term was already applied to something altogether different long before General Relativity came along.)
However, if I go back to my post, from which you obtained the above quote from me, we see:
While it appears that you are (here) saying that you see the lunar (and solar) tides to be evidence of gravitational waves, and (essentially?) a proof(?) that energy can be "provoke[d]" thereby. The question, I suggest, still remains as to whether gravity wave "travel" through space(-time), and whether they can carry or convey energy.
In addition, may I suggest that the lunar (and solar) tides are to gravity what near field effects are to electromagnetism? So we do have this large "near field" effect. What of long range "transmission" or propagation? Is this not worthy of testing?
So, are you "saying that you see the lunar (and solar) tides to be evidence of gravitational waves, and (essentially?) a proof(?) that energy can be “provoke[d]” thereby"?
To quote you, again, from your post where you respond to the above (but only to the gravity waves "traveling" and "energy" part), beginning with a quote of me (with a great deal left out, as can be seen above):
I believe gravity waves “travelâ€, but based on the issue I’ve been trying to discuss I can see no reason why they might be thought to convey energy. A geometric distortion or curvature of spacetime so-defined is not a force, it has no intrinsic energy, although as the tides make clear, a large moving mass produces a moving distortion, or curvature, that can flux geodesics, stress molecular binding energies, and especially with fluids, result in massive kinetic energies.
It appears that you may be debating this with yourself. You appear to accept that "as the tides make clear" that a moving mass can, indeed, cause motions that can be quite energetic (when integrated over the very significant volumes affected, at least in the case of the tides). Whether one wishes to use the term "energy" in this regard is semantics. The reality is that energetic processes "happen", and are well associated with the movement of at least a nearby object.
I just have to wonder whether you understand gravitational waves from a direct application of General Relativity theory, or some source intended for the layman. I don't mean this as any sort of "put down". It simply goes back to trying to understand what you know and what background you already have.
I could certainly understand a "layman" like explanation using an "energy" (and maybe even a "force") like argument in order to try and convey the concept of gravitational waves, but I have yet to see a truly General Relativistic argument made in such terms. I don't know, I'm just trying to make sense of where you actually stand.
Any way, I'm sure this is way more than enough, for now.
Take care.
David
Re: Re: The phenomenology of Shinola and that other stuff
December 20, 2007 by Halliday, 1 year 28 weeks ago
Comment id: 26537
Jim:
"Gadfly" is right suggesting that my last post to you would make for a dramatic exit. However, that wasn't so much my intent as to, hopefully, provide you with a "wake up call", if you will.
Now, while your response doesn't show much in the way of evidence of your "awakening", there are, perhaps, a few clarifications I would like to make (even though it may disappoint the "Gadfly").
First, perhaps I was a bit too blunt in using the term "weaseling", and I certainly am sorry for how the use of the term has distracted you. True, I didn't go into how I came to see it this way, but that is only because I didn't, and don't, feel like going through our exchanges in order to make this explicit. I'll leave it to others to judge between me and thee.
Second, after quoting my statement:
you then, apparently, try to suggest I've contradicted myself by quoting:
However, there is no contradiction here. While it is true that such may "appear" to be "forces" (from "a standpoint instilled from Newtonian mechanics"), it is still possible to make the distinction (up to experimental accuracy) between geodesic and non-geodesic motion. (Simply try matching the trajectory with a free neutral test particle, for goodness sake.)
Third, you quote me with (my emphasis added):
With your response being:
This could take a post all by itself. To begin, I would hope that you will recognize that I never made a claim that one would not be able to distinguish between these (and other) various inertial (pseudo, "false") "forces" and other "true" forces (barring extra, compact dimensions that may allow motions that appear to be non-geodesic, from a 4D standpoint, while being geodesic from a more "true" standpoint, if that's the case).
Furthermore, the reason I wasn't "specific" is because there are potentially uncountably many such inertial (pseudo, "false") "forces". This is an aspect of what I have been getting at with my references to being appropriately general: Able to handle all cases, no matter what they may be, or may be called—not limited to some subset of circumstances we may be familiar with on, or near, this rock on which we happen to presently reside.
However, while you are correct that the inertial (pseudo, "false") "forces" you enumerated are, in one sense, brought to our attention due to other forces, and, in another sense, due to our choice in coordinate system ("reference frame")—choosing to use a coordinate system fixed to the surface of this rotating orb upon which we reside. The same can be said about the gravitational "force", as you have stated multiple times. Regardless of the inertial (pseudo, "false") "force" (including gravitation), free neutral test particles will follow geodesics (once released, hence the use of the term "free").
So, no, gravitation is not "uniquely different". It can be placed within the same class as all other inertial (pseudo, "false") "forces". (At least it can, depending on one's definition of the "existence" of a "gravitational field". Which I'll touch on below.)
Actually, I have come to view the way physics is usually taught in introductory (Newtonian) mechanics classes as doing a great disservice to the students. It seams that a great deal of emphasis is given in convincing the students that inertial "forces", like centrifugal and Coriolis "forces", are not "real", "true" forces (they are pseudo, or "false" "forces"), while espousing the gravitational "force" to be a "true force".
I really wouldn't be surprised to find that, perhaps, part of your "railing" against any identification of gravitation with the term "force", in any form or way, may stem from your reaction to such a teaching approach, once you came to understand a different perspective from General Relativity. (I've only been trying to point out that even from a General Relativistic perspective, there is more than one way of looking at things. In no case [short of the geometric approach to all "forces"] does gravitation get "mixed up" with "true forces" the way it does in Newtonian mechanics [due to Newtonian mechanics' misrepresentation of "inertial" reference frames.)
Forth, after quoting me with the following:
you respond with:
Ignoring the "weaseling" issue, I will be glad to accommodate your request, given, as I stated, how you choose to "define" the "existence" of a "gravitational field". Perhaps I may help by suggesting a few possible definitions:
Make the choice, and then we may go on. Get distracted and diverted with other issues and this will go unanswered (unless someone else makes a choice and we leave you behind).
The ball's back in your court, Jim.
David
Re: The phenomenology of Shinola and that other stuff
December 19, 2007 by jarnold, 1 year 28 weeks ago
Comment id: 26517
David,
I’m concerned that your insistence that “inertial acceleration†should be translated as “deviation from geodesic motion†will lead us to a discussion of the difficulty of determining in some cases, by observation, whether a body is deviating from geodesic motion. That’s why I’ve tried to focus on the behavior of test bodies in controlled experiments, in my article, and in response to your comments. There is no ambiguity in distinguishing the behavior of test bodies inside a box being inertially accelerated and a box being accelerated (in a “free-fallâ€) in a gravitational field. In the first case, they will appear to accelerate to a side of the box, in the second case they will appear to converge toward each other while remaining in the interior of the box.
If we agree that 1) the behavior of test bodies in the experiments just described will be uniquely different in the second case (“free falling†in a detectible gravitational field) from the behavior of test bodies in a box under any other sort of acceleration of the box, if we agree that 2) the behavior of the bodies that converge in the interior of the box are doing so because they are following their geodesics in a gravitational field, then 3) there is no justification of associating gravitation with force.
It is on point 3 that I seem to be getting controversial. You’ve complained repeatedly that I don’t adequately define my terms. My complaint (against everyone I’ve encountered in the field, not just yourself) is that no one will address point 3 directly. You (and/or others) have at this point left the realm of the specific and “phenomenological†in favor of semantics, mathematical abstractions, imaginary situations, situations described in terms that presume phenomena inconsistent with points 1 and 2, allusions to Einstein’s experiments – anything, it seems, but a concrete discussion of how, in terms consistent with points 1 and 2, the leap is made from spacetime geometry, from geodesic motion, to force and energy. If the test bodies - in the experiment where they converge while remaining in the interior of the box - are following their geodesics, Dr. Halliday, they are not being acted upon by a force. And if they are not being acted upon by a force, in what is the most salient example of pure gravitation - a free-fall in a typical, detectible, gravitational field, then the association of gravitation with force needs some earnest, direct justification. Surely that point is controversial, and challenging, to much of current gravitation theory, and should be addressed - directly, without leaps, without abstractions, without digressions, without diversions.
Re: The phenomenology of Shinola and that other stuff
December 19, 2007 by Halliday, 1 year 28 weeks ago
Comment id: 26522
Jim:
As I pointed out in my earlier post, if you are, indeed, restricting yourself to distinguishing between behaviors of free neutral test particles within a box in geodesic motion ("free fall") vs. a box experiencing "inertial acceleration" (deviating from geodesic motion), then you are presenting nothing new, etc.
One of the reasons I insist that all your terms be strictly defined, or "nailed down", is because of the way you try to weasel out of any argument by apparently changing the definitions on a whim (changing the rules).
I "gravitate" to distinguishing between geodesic vs. non-geodesic motion because it is well defined (determinable, at least in principle) in all cases (regardless of the nature of the curvature, or lack thereof). The only "difficulty of determining in some cases, by observation, whether a body is deviating from geodesic motion" is in terms of experimental accuracy, as with any observational measurement. One has the same difficulty if your "inertial acceleration" of the box is arbitrarily small. So what? We're talking thought experiments here, so that's why I often say that such is at least theoretically, or in principle, always decidable.
I'm not arguing, in any way, that the situation of the box undergoing geodesic motion vs. the box deviating from geodesic motion is not distinguishable (except to the limits of instrumentality, which have far tighter limits than anyone's eyes). I'm simply arguing that this is nothing new. This is why Einstein's thought experiments focused on more novel situations.
Your point 1 is nothing new, novel, etc.
Your point 2 looses almost all it's power because it is not general enough. I have tried to help you see how this can be completely generalized (up to a point), depending on how you wish to "define" the "existence" of a "gravitational field". Unfortunately, instead, you have tried to weasel out of definitions. You have refused to learn greater generalizations. You simply don't appear able to move from your comfort zone in the very specialized subset of circumstances you find on and very near this ball of rock we reside upon, while the universe is far more vast and wondrous. (If you desire, I, and others, can help you take off your blinders, but we can't force you.)
In my very first post to you I attempted to show you that there is indeed a sense in which gravitation is not a force. However, there are indeed ways of looking at things such that it is, at least as much as any other inertial (pseudo, "false") "force" may be considered to be a "force". (Note that these "inertial forces" are not related to your "inertial acceleration". This was one of the early problems in definition that lead to misunderstandings, so please don't confuse them now. I, at least, have never seen the term "inertial force" used to describe any "true" forces like springs, electromagnetic forces, etc.)
Indeed, on the other hand, there are ways of approaching all the "true" forces (electromagnetism [which includes contact forces, since it is only E&M that keeps objects more or less rigid, and keeps them from moving through one another], and the nuclear forces [week and strong]) such that they are just as much "geometry" as is gravitation. What then? Now what appear to be deviations from geodesic motion (deviations from "free fall") are simply new geodesics seen by certain types of particles. (Is this the way the universe works, or just a mathematical trick we physicists have dreamed up? Only specific testable predictions and experiments will ever determine that.)
Never, at any point do I propose "presume[d] phenomena" that are "inconsistent with [the appropriately generalized] points 1 and 2".
I have tried to help you put your arguments in a much broader perspective, and to refine them to the point that (up to a point*) they are irrefutable. Unfortunately, instead of cooperating, learning, and refining, you have chosen to cast me in the role of your enemy, nemesis, and a "defender of the faith".
I'm not going to just give you the answer, you have to want it, and be prepared for it.
So long, and fare well.
David
* After asserting that gravitation is not a force (an assertion I tried to point out, in my first post, is indeed justifiable, even though there are alternate, legitimate, view points), there are certain conclusions you arrive at, without justification, that are untenable. At least if the results/predictions of General Relativity are correct (as opposed to just certain interpretations, or ways of thinking about its nature).
You claim that you have no argument with the theory, itself, just certain interpretations, or ways of thinking about General Relativity. Yet, without justification, you jump from the conclusion that "gravity is not a force", to "gravity has no energy" (in and of itself), to "there are no gravitational waves".
Especially the last part of this chain is untenable, unless one argues that the results/predictions of General Relativity are not correct. This is the point where your arguments cannot be made irrefutable.
More a gumming than a nip
December 19, 2007 by jarnold, 1 year 28 weeks ago
Comment id: 26526
“gadfly†writes again that I continue “to reject the curvature-free uniform field of Einstein's thought experiment. And [I don’t] consider the possibility of divergence, which might occur at the balance point of the field of two large bodies.â€
I don’t “reject†the curvature-free uniform field, in fact I use it as a hypothetical setting to illustrate the effects of inertial acceleration untainted by gravitational effects. I use a detectible gravitational field to illustrate the effects of gravitation. You can relax, it's just common sense. It isn’t blasphemy. Einstein is safe.
You seem to imagine that there could be a place you call “a uniform gravitational field of magnitude g.†If a gravitational field in the real world is “uniform†it has no magnitude, or no detectible magnitude. A gravitational field is a curvature of spacetime. You can relax about this too. Einstein was just using his setting far from gravitational influences to illustrate his identification of gravitational mass with inertial mass – you don’t have to insist that everyone else does the same, no matter what their objective. It isn’t blasphemy. Einstein is safe. Your world is safe.
Revealing the farce behind the drama
December 19, 2007 by Gadfly, 1 year 28 weeks ago
Comment id: 26525
Bravo, David!
You have made a grand exit from this stage.
The playwright thought he was writing a dramatic restructuring of the uiniverse, but you have recognized it for what it is: a farce promulgated but not recognized as such by its obstinate author.
Farewell, oh noble physicist.
And good riddance to this sad time-wasting thread!
This bite of realism brought to you by "Gadfly."
A Gadfly bite for David
December 19, 2007 by Gadfly, 1 year 28 weeks ago
Comment id: 26519
David,
This gadfly hates to bite a guy who knows his physics so well, but don't you think it's time to give up?
Jim writes: "There is no ambiguity in distinguishing the behavior of test bodies inside a box being inertially accelerated and a box being accelerated (in a “free-fallâ€) in a gravitational field. In the first case, they will appear to accelerate to a side of the box, in the second case they will appear to converge toward each other while remaining in the interior of the box."
The emphasized words demonstrate that Jim has a particular curvature in mind, namely the presence of a dominant massive body (like Earth).
He continues to reject the curvature-free uniform field of Einstein's thought experiment. And he doesn't consider the possibility of divergence, which might occur at the balance point of the field of two large bodies.
So, David...
This bite of realism brought to you by "Gadfly."
And another nip for Jim
December 19, 2007 by Gadfly, 1 year 28 weeks ago
Comment id: 26520
Jim,
When the acceleration is "inertial" (the first case), how can an observer in the box distinguish between these two possibilities for his frame of reference:
(a) An inertial frame of reference in the presence of a uniform gravitational field of magnitude g;
(b) A non-inertial frame of reference experiencing a uniform acceleration of that same magnitude in the opposite direction?
Note the word "uniform," which you continue to dodge by assuming that the test bodies must converge in the presence of gravity.
This bite of realism brought to you by "Gadfly."
Put bluntly, you've got it backwards
November 22, 2007 by Gadfly, 1 year 32 weeks ago
Comment id: 26104
jarnold insists:
You are the one challenging an accepted theory. The burden of proof rests on you to refute it.
What evidence do you have that Einstein's theory is wrong and yours is better?
This bite of realism brought to you by "Gadfly."
Gadliness
November 22, 2007 by jarnold, 1 year 32 weeks ago
Comment id: 26106
> What evidence do you have that Einstein's theory is wrong and yours is better?
Why not read it?
A "gadfly"? A "gadfly" is usually thought of as someone who brings down the high and mighty with skillful dialectic. You've been un-gadly. But... bless you.
E-gad!
November 22, 2007 by Gadfly, 1 year 32 weeks ago
Comment id: 26107
> Why not read it?
I did. The only thing you cited was gravitational waves, but you seem not to understand what they are.
Another error. The following cannot be true of a uniform gravitational field, which is part of Einstein's discussion. It only applies to nonuniform fields, like Earth's.
So let's cut to the chase: Cite one experiment or observation that casts doubt on Einstein.
And while you're at it, explain why all the rest of the physics community has failed to see why that casts doubt.
A gadfly also bites the pompous, such as those who presume everyone else is wrong and only jarnold knows the truth.
This bite of realism brought to you by "Gadfly."
The good, the gad, and the un-gadly
November 22, 2007 by jarnold, 1 year 32 weeks ago
Comment id: 26109
"The only thing you cited was gravitational waves, but you seem not to understand what they are."
Actually, they haven't been detected. So strictly speaking, they isn't what they is unless they ain't what they would.
"[your experiment]... cannot be true of a uniform gravitational field, which is part of Einstein's discussion... it only applies to nonuniform fields, like Earth's."
A "uniform gravitational field" - would that be a region where there is no curvature? i.e., a non-gravitational field? Why don't we talk about a real, measurable, gravitational field, and then, after a brief respite, consider a region where gravitation seems to vanish. Then after another respite, maybe we can talk about whether curvature ever really completely vanishes, anywhere. I'm not ready for a respite though, just yet, myself. Why don't we take first things first.
"Cite one experiment or observation that casts doubt on Einstein."
I have enormous respect for Einstein. I believe he was so focused on moving forward to a unified field theory that he never deliberately revisited his original association of gravitation with inertial acceleration (as I define it) with the full power of his intellect. The essence of his achievement, what's been called geometrodynamics (minus its association with inertial acceleration, as I define it), is beyond criticism, as far as I can see.
The experiment I've described, which demonstrates the difference between gravitational acceleration and inertial acceleration (as I define it), casts doubt on a paradigm, not a person.
"...explain why all the rest of the physics community has failed to see..."
I really can't explain it.
"A gadfly also bites the pompous, such as those who presume everyone else is wrong"
Where would we be now if a historic bite such as yours drew serious blood?
Gadzooks!
November 22, 2007 by Gadfly, 1 year 32 weeks ago
Comment id: 26111
jarnold:
It was good enough for Einstein in the thought experiment that led to the principle of equivalence, and it's good enough for me.
But it's not good enough for you. That is what makes this discussion pointless, but not endless.
It's been fun sparring and punning with you, but I'm not about to get into the same circular argument you have had with others far wiser than I am.
Gadflies don't stick around after they have exposed the absurdities they see around them.
My work is done here!
This bite of realism brought to you by "Gadfly."
Re: Retrospective on a gravitation discussion
November 22, 2007 by jarnold, 1 year 32 weeks ago
Comment id: 26102
David,
I’m glad to hear from you again.
Regarding your objection to my use of terminology, “inertial acceleration†in particular, the principle I am arguing goes against the accepted definition of inertial acceleration, so it’s not necessarily a legitimate objection to say I’m not defining it, or that I’m wrong to be using the concept of acceleration and force in an unconventional way, or that I don’t understand the significance of what I’m saying. In order to argue against a conventional definition I have to maintain an unconventional definition. An unconventional definition may be valid or invalid, but it isn’t invalid simply because it’s unconventional.
I have defined inertial acceleration in terms of its objective manifestation on test bodies. I don’t know how I could be more clear or precise. Inertial accelerations – including accelerations due to the direct application of a force, accelerations manifested in “fictitious forces†like centrifugal, centripetal, and Coriolis force, but excluding free gravitation – can be detected inside a closed box by the behavior of test bodies inside the box. Gravitational acceleration, when not coincident with an inertial acceleration (as I’ve defined it), can be distinguished from inertial acceleration as I define it, by the unique behavior of a pair of test bodies inside a closed box.
There can obviously be, in any given situation, a combination of forces, “fictitious forcesâ€, and gravitation acting upon test bodies in a box, and any one influence (or all of them) can be vanishingly small, but the principle remains intact nonetheless, and is valid, or not, if experimental facts conform to the uncontaminated and undiluted test case. Issues of complex factors, infinitesimal influences, and problems of detection, etc., are secondary to the validity of the principle and can be presumed to be explicable in terms of the principle. Much of the work of science consists in explaining secondary issues in terms of new hypotheses - that's always been true. Imaginary or unproven principles do not override an experimentally verified principle, no matter how widely accepted. “Generalizations†which draw upon abstract mathematical models, complex or vanishing influences don’t invalidate or override a principle based on experimental evidence unless a continuity can be shown between the simple test case and the exotic generalization. Hypothetical energy-bearing gravitational waves are an excellent example: Given a most pure and simple expression of gravitation as being force-free, a hypothetical energy-bearing gravitational wave would have to be shown to follow from the simple force-free manifestation; unless and until this is done, the energy-bearing gravity wave has to be regarded as a dubious hypothesis, in no way more compelling than a pure and simple expression of gravitation. I hope you can agree on this. It’s more broadly conventional than any particular principle we might discuss. It is a conventional statement of science.
It’s a very human reaction to a challenge of world-view to focus on tangential issues and objections. Your question of how I define “a state of rest†is a good example. There is just one secondary implication of my principal argument where defining a state of rest is relevant, and being secondary, its discussion only diverts from my principal argument. The question of my knowledge or understanding is secondary to the issue. My argument reduces to this: Gravitation is fundamentally different from inertial acceleration; gravity is fundamentally different from force. When isolated from inertial acceleration and force, I believe the experimental evidence confirms my argument. Put bluntly, my argument can only be refuted by addressing my argument directly; absent a direct refutation, issues of terminology, or generalizations, or complications, or implications, or my qualifications, can only legitimately be raised in support of refining the argument.
There is much in your comments that have been helpful in regard to refining my argument, and I thank you.
Jim
Re: Retrospective on a gravitation discussion
November 30, 2007 by Halliday, 1 year 31 weeks ago
Comment id: 26212
Jim:
You make the claim:
There is nothing, per se, that's wrong with using a concept or term in an unconventional way—especially if one is arguing against a conventional definition or concept. The problem is in doing so without a clear definition and/or declaration of what one is doing!
So yes, it is appropriate for me, or anyone, to object to your not defining a term you use so often, and in such seemingly self contradictory ways.
You then go on to "define" what you mean by "inertial acceleration" thus:
First and foremost, I pointed out in my earlier post that there are two, mutually contradictory "conventional" definitions of "inertial acceleration". Yet you appear to have not recognized that the two "conventional" definitions are mutually contradictory, and, hence, there is no one "conventional" definition.
Secondly (and more incriminating, if you'll forgive me), your "definition" above draws from both, mutually contradictory "conventional" definitions, without even batting an eye!
I'm sorry if you think that I think your calling into question features of General Relativity is any sort of challenge to my "world view", and, hence, that I'm defending it out of some attempt to preserve such. The fact is, I challenge the prevailing "world view" myself, and I actually read your initial post in the hope of learning something new, stimulating, and, perhaps, to find someone with whom I may be able to have useful exchanges on "unconventional" ideas. Unfortunately, and quite sadly, I found something significantly bellow such expectations.
However, I still had hope that your "unconventional" steak could be polished to something more closely resembling what I was looking for. Sadly, that doesn't appear to be possible from your present frame of mind.
I was hoping to find someone open to new ideas and ways of thinking, but, instead, sadly, I find someone with an apparently closed mind, who appears to have a very hard time accepting anything outside his own preconceptions.
I'm sorry, Jim. I've tried, but until I see some glimmer of understanding, and/or teachability, I'm going to have to stop waisting my efforts.
I am so sorry that what others have said about you, here, appears to be more true than I ever wanted to believe.
Take care, and feel free to contact me if you ever have a genuine desire to become a truly unconventional thinker, capable of challenging the "conventional".
David
P.S. I don't "post" or otherwise "publish" my unconventional "theories" precisely because they are not at the stage of truly being "theories": They are not complete enough to make any testable predictions, or even to be certain that they correspond with existent experimental findings. Yes, I could go all rhapsodic about how my ideas are so beautiful, and explain so many otherwise "odd" features of the world around us. However, I don't see that as particularly useful, until I can get beyond the purely conceptual aspects that make the ideas compelling (to me). Yes, I have been able to give much of it a more rigorous model, but here remains a crucial gap in the formulation. Until I can fill in this gap, I don't consider that I have something that qualifies as a viable theory. Just some interesting (to me) concepts that I hope can be worked into the requisite state.
Until then, I'm always on the lookout for other interesting ideas/theories/concepts. I find that one can never tell, a priori, where the next breakthrough idea will come from. (Hence my former hope...)