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#51
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"Androcles" wrote in message ... "Bill Miller" wrote in message ... | | "Timo A. Nieminen" wrote in message | ... | On Mon, 23 Jun 2008, Bill Miller wrote: | | | "Timo A. Nieminen" wrote in message | ... | On Sat, 21 Jun 2008, Bill Miller wrote: | | snip | | Correct. And as long as the interaction is of a contact nature, then | eveything is OK. But when there is a delay between the action and the | reaction, then *for that delay period* momentum is not conserved. But we | know that momentum MUST be conserved, so we must look at Newton with an | eye | to modifying it to deal with what amounts to a time dependency. | | This is not a new idea. We have long recognized, for EM that electrostaic | representations break down when time dependency is present. | | Heaviside suggested this in 1893 but never took it all the way to its | logical conclusion. | | Heaviside's Maxwellian gravitation? There is no modification of Newton's | laws of motion in it. Newton's law of universal gravitation, describing | gravitational forces as interactions between distant bodies, is replaced | by a field theory, wherein all interactions are local - body interacts | with local field, not body with distant body. | | You must be looking at a different copy of Heaviside's 1893 article. In it, | he clearly (to me at least) understood concepts of time-dependancy, the | gravitational equivalent of the Poynting Vector (that he claimed partial | credit for) and others. I agree that he did NOT deal with retardation. | Neither did/does Maxwell! | | This "action at a distance" has always been an Achilles Heel. | | It is resolved, I believe by understanding and applying Causality. We need | to understand that if two events occur at the same time, neither can cause | the other. Instead, at least one must be caused by some other (hidden) | event. | | Recognition of this simple concept would, as one example, have stopped | generations of instructors from teaching their students that E causes H and | H causes E. You mean this magnet turns on only when the operator throws a switch because it is a simultaneous but independent event? http://www.global-b2b-network.com/di...ctromagnet.jpg Because? So, what is happening? The switch is thrown and low and behold, Both an H field and a Current appear simultaneously? Throwing the switch puts the circuit into direct communication with a sustained electric potential. As it's an electric potential electrons begin to flow, and as there are now moving electrons these cause a corresponding H field? Ok, so now we move to magnetic induction and we end up concluding that the B field is now causing the electrons to flow? If Albert can combine time/space (you can't have one without the other) why not current and H? Doesn't sound silly to me at all. Can they actually be separated? Can one exist without the other? Vince |
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#52
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On Wed, 25 Jun 2008 18:32:46 GMT, "Bill Miller"
wrote: "Timo A. Nieminen" wrote in message .. . On Mon, 23 Jun 2008, Bill Miller wrote: That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! I fervently hope you're not teaching anyone. You're too ignorant to be in the business of physics which is that of discerning cause and effect. Instead of denying cause and effect, you should be analyzing for the underlying science. Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Tell us, omniscient one, what exactly what is this precious relationship, of which you are evidently the exclusive franchisee? Here's how I think it works: Volts applied to a coil build up H ampturns/meter which when multiplied by mu store momentum B in webers/m^2. Upon opening the circuit, momentum B divided by mu generates a sizeable voltage back at the original terminals. The field B is successively the sink and the source. Yes V causes B and B causes V. Cheers, Bill John Polasek |
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On Jun 25, 10:25 pm, John C. Polasek wrote:
On Wed, 25 Jun 2008 18:32:46 GMT, "Bill Miller" That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! I fervently hope you're not teaching anyone. You're too ignorant to be in the business of physics which is that of discerning cause and effect. Instead of denying cause and effect, you should be analyzing for the underlying science. And I, John, fervently hope that YOU are not teaching "faith-based" physics anywhere. There is already enough "dumbing down" in science! Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Tell us, omniscient one, what exactly what is this precious relationship, of which you are evidently the exclusive franchisee? Here's the dogma: We start with Maxwell's equations and note that the curl of E is given by the time rate of change of B and then we also observe that the curl of H is given by J plus the time rate of change of D. Well that's simple enough isn't it? Clearly E causes H and H causes E! Hence we all are fat and happy imagining EM waves plunging through space with E creating the H vectors and H creating the E vectors as it goes along! Everybody knows this is how it works! It's right there in the equations! Too bad it's all wrong. The form of Maxwell's equations we are using here are NOT "causal"! That means that one side "equals" the other but one side does NOT "cause" the other! The truth that Bill Miller finds so seldom among those who pretend to be the ultimate source of EM knowledge to others, is that E doesn't cause H and H doesn't cause E. BOTH are cause by a THIRD source, namely charge! This is where "retarded" potentials come from. But this is exactly why "modern" physics is so primitive and so wrong. Physicists are too lazy to bother with the actual situation and always try to use models that are linear, without any feedback (which nobody understands anyway) and do not consider retarded causality. Hey that kind of math is just too big of a pain in the ass anyway, so why bother. You can get useful answers the other way (most of the time). And where your faith-based physics fails, just sweep that under the rug. If anyone complains, fire them. Here's how I think it works: Volts applied to a coil build up H ampturns/meter which when multiplied by mu store momentum B in webers/m^2. Upon opening the circuit, momentum B divided by mu generates a sizeable voltage back at the original terminals. The field B is successively the sink and the source. Yes V causes B and B causes V. Lookee here. THIS is EXACTLY the problem. We have thought with total disregard of causality! You've constructed a model that appears to make sense, but is in fact explaining nothing. A 'true" explanation would involve a careful delineation of each "retarded" effect. True causality leads to true retardation. The problem here is that you are not considering retarded effects which makes you retarded! ![]() |
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#54
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On Jun 18, 5:59*pm, Benj wrote:
I just saw Ben Stein's documentary "Expelled: no intelligence allowed" over at the $1 theater and it was a great piece of work. Namely those promoting the dogma of establishment science. *This is a subject near and dear to my heart upon which I have been known to post here repeatedly, but it always bears bringing the subject up one more time. Although this film is on the subject of publishing papers on "intelligent design" and the attacks upon one career that occur if such transgressions against establishment dogma are even suggested let alone advocated, the same actions can be equally seen if one chooses to discuss a whole host of "anti-establishment" topics. I leave it as an exercise for the interested student to make a list of topics upon which any attempt to publish credible research will be a fast track to the unemployment line. The attacks always take the same form. The author is accused of "pseudoscience". The authors find that grants and support dry up. Papers are rejected. Jobs suddenly become unavailable. You get fired. You get denied tenure and not for the normal reasons like being a woman or not willing to grovel before the tenured faculty. Attacks often extend to being accused of mental illness or incompetence. So what is going on? I'll tell you. The problem, dear reader, is YOU! You are simply too smart and too perceptive to be allowed free reign in a world ruled by mass politics. You can too easily see through the myriad political scams designed to keep those who rule, in power and rich! Hence, a way had to be found to control you and keep you in line! And what is that way? It's the "university" system that has been developed along with "peer review" and government and other "controlled" funding of research that makes sure that certain topics and certain ideas are never given free and open discussion. *You ALL know this is true. But most of you can't say a thing though because unlike me, you still have a career in science that can be lost. This documentary is especially interesting to me in that it pulls very few punches. It makes the connection between communist doctrine and establishment dogma. It makes the connection, for example between Hitler's death camps for the disabled and other "defectives" and the American "Eugenics" research at Cold Harbor (which by the way, changed its name but still exists) that Hitler was so taken with. It points out the connection between atheism (the state religion of leftist regimes) and Darwinism. And best of all it shows the draconian punishment awaiting any research who steps even a little bit out of line! *Yes, Virginia they WILL "make an example of you" if you drift even a little bit into a "forbidden zone"! All of you out there, listen to me. If you are just the least bit interested in REAL science, this documentary is required viewing. It should soon be out on DVD so go steal a copy from a friend or if you must, rent it from Blockbuster. Your first lesson in science boys and girls is that science is NOT the pure exercise of intellect and free inquiry you thought it was. It is about making sure that aspects of knowledge that threaten the power of the elite stay tightly "controlled". There is POLITICS right down at *the core of modern science and sorry to say, politics operates best with lies. And it's high time you all learned how this politics works whether you choose to join in the lies or work to eliminate them. Ok. Now all you with the GS rating can start posting the suggestion that I go look for my "tinfoil hat". Of course you haven't viewed this movie and never will, but I'm sure you are nevertheless convinced that it's all "pseudoscience", lies and right wing Christian tripe. [All perpetrated by the well-known right wing Christian evangelist Ben Stein! *:-) ] Our profession is in dire need of a good housecleaning! *I say this documentary is one good step in the right direction. How did you guys pass your exams? Almost all of this discussion is off topic. This seems to be the fate of too many of these general questions. |
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"Benj" wrote in message ... On Jun 25, 10:25 pm, John C. Polasek wrote: On Wed, 25 Jun 2008 18:32:46 GMT, "Bill Miller" That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! I fervently hope you're not teaching anyone. You're too ignorant to be in the business of physics which is that of discerning cause and effect. Instead of denying cause and effect, you should be analyzing for the underlying science. And I, John, fervently hope that YOU are not teaching "faith-based" physics anywhere. There is already enough "dumbing down" in science! Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Tell us, omniscient one, what exactly what is this precious relationship, of which you are evidently the exclusive franchisee? Here's the dogma: We start with Maxwell's equations and note that the curl of E is given by the time rate of change of B and then we also observe that the curl of H is given by J plus the time rate of change of D. Well that's simple enough isn't it? Clearly E causes H and H causes E! Hence we all are fat and happy imagining EM waves plunging through space with E creating the H vectors and H creating the E vectors as it goes along! Everybody knows this is how it works! It's right there in the equations! Too bad it's all wrong. The form of Maxwell's equations we are using here are NOT "causal"! That means that one side "equals" the other but one side does NOT "cause" the other! The truth that Bill Miller finds so seldom among those who pretend to be the ultimate source of EM knowledge to others, is that E doesn't cause H and H doesn't cause E. BOTH are cause by a THIRD source, namely charge! This is where "retarded" potentials come from. But this is exactly why "modern" physics is so primitive and so wrong. Physicists are too lazy to bother with the actual situation and always try to use models that are linear, without any feedback (which nobody understands anyway) and do not consider retarded causality. Hey that kind of math is just too big of a pain in the ass anyway, so why bother. You can get useful answers the other way (most of the time). And where your faith-based physics fails, just sweep that under the rug. If anyone complains, fire them. Here's how I think it works: Volts applied to a coil build up H ampturns/meter which when multiplied by mu store momentum B in webers/m^2. Upon opening the circuit, momentum B divided by mu generates a sizeable voltage back at the original terminals. The field B is successively the sink and the source. Yes V causes B and B causes V. Lookee here. THIS is EXACTLY the problem. We have thought with total disregard of causality! You've constructed a model that appears to make sense, but is in fact explaining nothing. A 'true" explanation would involve a careful delineation of each "retarded" effect. True causality leads to true retardation. The problem here is that you are not considering retarded effects which makes you retarded! ![]() Benj... You said it better than I could! And the thread that has occurred as a result of my examples demonstrates the dogmatic nature of many physicists better than anything that I could possibly SAY! Bill |
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#56
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On Wed, 25 Jun 2008, Bill Miller wrote:
"Timo A. Nieminen" wrote in message ... On Mon, 23 Jun 2008, Bill Miller wrote: "Timo A. Nieminen" wrote in message ... On Sat, 21 Jun 2008, Bill Miller wrote: snip Correct. And as long as the interaction is of a contact nature, then eveything is OK. But when there is a delay between the action and the reaction, then *for that delay period* momentum is not conserved. But we know that momentum MUST be conserved, so we must look at Newton with an eye to modifying it to deal with what amounts to a time dependency. This is not a new idea. We have long recognized, for EM that electrostaic representations break down when time dependency is present. Heaviside suggested this in 1893 but never took it all the way to its logical conclusion. Heaviside's Maxwellian gravitation? There is no modification of Newton's laws of motion in it. Newton's law of universal gravitation, describing gravitational forces as interactions between distant bodies, is replaced by a field theory, wherein all interactions are local - body interacts with local field, not body with distant body. You must be looking at a different copy of Heaviside's 1893 article. In it, he clearly (to me at least) understood concepts of time-dependancy, the gravitational equivalent of the Poynting Vector (that he claimed partial credit for) and others. Of course he looks at time-dependent situations - otherwise his finite-speed Maxwellian model of gravitation just reduces to Newton's law of universal gravitation. But the whole essence of his approach is to replace Newton's law of action at a distance with a local field theory, starting firmly on this path right at equation (1). I agree that he did NOT deal with retardation. Neither did/does Maxwell! Heaviside deals with retardation, but not so transparently. He introduces a finite (constant, i.e., frequency independent) speed v of gravitation, and goes from there. Maxwell knew that his theory could be described in terms of retardation - he recognises the mathematical equivalence between his theory and Lorenz's in a footnote in his Treatise. I don't know when he realised this, or that he had a retardation compatible theory. Perhaps when he gets the wave equation with a constant speed? Which brings me to a related, but not-so-related, point. Maxwell was, IMO, a good enough mathematician so that he could have done the Hertz-Heaviside simplification of his equations himself. Why didn't he? Since he identifies the field quantities in his version as physically meaningful (e.g., vector potential as momentum of the ether), there isn't any point in getting rid of them. He's not just trying to describe forces on charged bodies or currents (which Hertz and Heaviside seemed to be content with), but wanted to know what the ether was up to. If you want an instantaneous snapshot of the ether, you don't want a retarded formulation of the theory. I don't know, but perhaps this influenced him. This "action at a distance" has always been an Achilles Heel. It is resolved, I believe by understanding and applying Causality. We need to understand that if two events occur at the same time, neither can cause the other. Instead, at least one must be caused by some other (hidden) event. Shades of Aristotle. Recognition of this simple concept would, as one example, have stopped generations of instructors from teaching their students that E causes H and H causes E. It would have also stopped generations of mathematical physicists from publishing articles in peer-reviewed publications that "proved" that E causes H or vice versa. And it would have stopped generations of experimental physicists from spending countless hours and dollars in building apparatus to measure the non-existent H between the plates of capacitors. Not so many papers, hours, or dollars. The existence of electromagnetic waves, transverse (i.e., div(E) = 0, div(H) = 0) solutions of the vector Helmholtz equation, is pretty good evidence that the dD/dt term really belongs in the Maxwell equations, so perhaps a more direct "proof" isn't seen as essential. If I have understood your position on this, Timo, it is that the teaching of this is expeditious & that once one gets to the PG leve, the "true facts" are revealed and everything is fine. Well, for better or for worse, what is taught is necessarily simplified. Alas, while a small number of misconceptions might be corrected in later undergrad or postgrad education, many are not. With limited time, and limited initial knowledge, there are limits to what can be taught. I woulnd't say that everything is fine, just that it isn't easy to do much better. One particular problem is that many (most?) courses lead to just cramming for an exam, followed by forgetting. Emphasis on techniques and proofs over any real understanding. One problem is that understanding comes with experience, and a 1 semester course allows very little time for that. I don't think that the current issue (E, H, and causality) is such a big deal. It's mostly harmless as far as beliefs go, and only one of very many various misconceptions that students pick up. They learn far worse ones along the way. It also isn't enough to just tell them in lectures - students don't learn from lectures, they learn from assessment and preparing for assessment. It's hard to assess understanding, so understanding tends to not be assessed strongly, so students don't get really motivated to understand. That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! Likely enough. Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Probably. Very likely. But specialised EM texts are the stuff of advanced (or at least intermediate) undergrad courses. Those who do just 1 or 2 physics courses ay uni, or only do high school physics never get to see them. There might well even be generic introductory textbooks that don't get it wrong, by not mentioning it at all. If I have time in the near future, I will look. Newton 1 and 2 are pretty much just definititions of inertial motion and force, while Newton 3 is (as above) conservation of momentum. How can these be modified sensibly? I'd say that looking at Causality and incorporating what we learn into new expressions that include factors tor time variation of position and for timevariation of mass would get the job done. New expressions for what? My point is that it's easy enough to modify, e.g., a force law (as Heaviside did Newton's law of universal gravitation), or Coulomb's law (as per Maxwell), but a very different thing to try to modify Newton's laws of motion, which are of a very different fundamental nature. Naturally, any such additions must obey conservation of momentum AND must reduce to the original form when time dependancy is absent. Well, if you want conservation of momentum, then you're _not_ going to be modifying Newton 3. Also, if you want retarded interaction at a distance along with conservation of momentum, then you're going to need fields that can carry the momentum from point A to point B (or some other "thing" to have the momentum when the "interacting" objects don't have it). Or we change our ideas about what conservation of momentum means. Yes, if we consider two masses as above (or two electric charges) to be interacting with each other, we have exactly the problem you point out. Does this mean Newton 3 is wrong? Does this mean momentum is not conserved? I would say that it means that we simply don't have a situation where there are two objects interacting at a distance, but two objects each interacting with a field. Perhaps the interaction really is as described by field theory, a local interaction between field and body, and we should throw away the classical mechanics idea of interaction at a distance rather than Newton 3. That's one way of dealing with it. I believe that a better way would be to recognize that Newton's work is not applicable to time dependency. That's no different, conceptually, from Maxwell's expansion of Ampere's Law to include The rate of Change Of E field in order to deal with magnetic fields in a time-dependent environment. I think it is different conceptually. One is a conservation law, and the other describes a limited set of experimental observations. It is true that gravity is a whole bunch of orders of magnitude more difficult to deal with experimentally than EM. Building planetary objects, setting them rotating, and zapping them past one another is way beyond our experimental capability. BUT, we have a handy set of "toys" in our own night sky. And there we have an interesting set of pre-made experiments already in process. Like, maybe, does our model explain why the rotational speed of the Sun at the equator is different from the speed at the poles? Or does it provide some insights into Mercury's (supposedly) residual precession? Does it support or deny the existence of black holes? Does it provide some insight into the "missing mass of the universe" question? What might it say about gravitational waves? Does it provide a definitive explanation of the process wherein potential energy is converted into kinetic energy by a falling body? Does it explain why EM beams are deflected by gravity? But that's a lotta work. Doing it wrong is a lot easier! Apart from the rotational speed of the sun, which at first glance is more a matter of fluid dynamics and plasma physics rather than gravitation, and perhaps the missing mass stuff, yes, our best models of gravity do answer these questions. Alas, they don't reduce to Heaviside's model in the appropriate limit, There was a nice paper by Robert Forward in Proc. IEEE (or Proc. IRE, if before the name change of the journal) in the 1960s about the weak-field limit of GR. -- Timo Nieminen - Home page: http://www.physics.uq.edu.au/people/nieminen/ E-prints: http://eprint.uq.edu.au/view/person/...,_Timo_A..html Shrine to Spirits: http://www.users.bigpond.com/timo_nieminen/spirits.html |
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On 26 Jun, 03:25, John C. Polasek wrote:
On Wed, 25 Jun 2008 18:32:46 GMT, "Bill Miller" wrote: "Timo A. Nieminen" wrote in message .. . On Mon, 23 Jun 2008, Bill Miller wrote: That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! I fervently hope you're not teaching anyone. You're too ignorant to be in the business of physics which is that of discerning cause and effect. Instead of denying cause and effect, you should be analyzing for the underlying science. Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Tell us, omniscient one, what exactly what is this precious relationship, of which you are evidently the exclusive franchisee? Here's how I think it works: Volts applied to a coil build up H ampturns/meter which when multiplied by mu store momentum B in webers/m^2. Upon opening the circuit, momentum B divided by mu generates a sizeable voltage back at the original terminals. The field B is successively the sink and the source. Yes V causes B and B causes V. Cheers, Bill John Polasek A charge is the source of E and H which are orthogonal and propagate independently from it as given by the Lienard-Wiechert field equations. I think that's all Bill is saying which isn't wrong, is it? |
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On Jun 27, 9:35 am, blackhead wrote:
A charge is the source of E and H which are orthogonal and propagate independently from it as given by the Lienard-Wiechert field equations. I think that's all Bill is saying which isn't wrong, is it? No, Bill isn't wrong. And I also differ with "Maxwell's" assertion that we've drifted off- topic. The original topic was the Ben Stein "Expelled" documentary which probed the issue of "faith-based" physics dogma being protected by political means. That is still the topic here even though we are using examples different from the "intelligent design" one of the film. What gets me is that when someone "questions authority" the dogma crew usually first name-calls using the "tinfoil hat ploy" which implies that if the person with the "new" idea is insane, then what they say isn't worth even considering, which is often followed by suggestion to "go read some Freshman textbooks on the subject". The latter assumes that somehow "freshman textbooks" are the ultimate authority on what is true and what is not! Obviously that is a lie. EXPERIMENT is the ultimate authority! Any of you guys ever talk to authors of freshmen textbooks? First off, they all admit that copying older books is a way of life, so that the perpetuation of error becomes an automatic factor built into the process. And furthermore, being "introductory" guides these books all have to use a "lowest common denominator" approach. Therefore that they are bibles of dogma should be no surprise. But given this, many such texts are still careful to word statements in ways such that when exactly and correctly read they do NOT present doubt as dogma. However, most of those reading these books do not take time to examine such wording with an exacting eye. They simply see what they already believe and see it all as affirmation of the dogma that they believe in their hearts. And the problem is that all this combines to lead students AWAY from true authority (experiment) and toward a blind acceptance (which is further reinforced by the necessity of repeating all dogma correctly at will on exams) of so-called "laws" which are in fact mere approximations to reality. Finally having lost sight of of the true science philosophy, the students who eventually advance in position and power, eventually comes to a point where they can enforce dogma by political means. It's a standard thing and it is not good for the advancement of science. It's good that Ben Stein has blown the whistle on it. |
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On Jun 26, 1:55*pm, "Timo A. Nieminen" wrote:
On Wed, 25 Jun 2008, Bill Miller wrote: "Timo A. Nieminen" wrote in message .. . On Mon, 23 Jun 2008, Bill Miller wrote: "Timo A. Nieminen" wrote in message . .. On Sat, 21 Jun 2008, Bill Miller wrote: snip Correct. And as long as the interaction is of a contact nature, then eveything is OK. But when there is a delay between the action and the reaction, then *for that delay period* momentum is not conserved. But we know that momentum MUST be conserved, so we must look at Newton with an eye to modifying it to deal with what amounts to a time dependency. This is not a new idea. We have long recognized, for EM that electrostaic representations break down when time dependency is present. Heaviside suggested this in 1893 but never took it all the way to its logical conclusion. Heaviside's Maxwellian gravitation? There is no modification of Newton's laws of motion in it. Newton's law of universal gravitation, describing gravitational forces as interactions between distant bodies, is replaced by a field theory, wherein all interactions are local - body interacts with local field, not body with distant body. You must be looking at a different copy of Heaviside's 1893 article. In it, he clearly (to me at least) understood concepts of time-dependancy, the gravitational equivalent of the Poynting Vector (that he claimed partial credit for) *and others. Of course he looks at time-dependent situations - otherwise his finite-speed Maxwellian model of gravitation just reduces to Newton's law of universal gravitation. But the whole essence of his approach is to replace Newton's law of action at a distance with a local field theory, starting firmly on this path right at equation (1). I agree that he did NOT deal with retardation. Neither did/does Maxwell! Heaviside deals with retardation, but not so transparently. He introduces a finite (constant, i.e., frequency independent) speed v of gravitation, and goes from there. Maxwell knew that his theory could be described in terms of retardation - he recognises the mathematical equivalence between his theory and Lorenz's in a footnote in his Treatise. I don't know when he realised this, or that he had a retardation compatible theory. Perhaps when he gets the wave equation with a constant speed? Which brings me to a related, but not-so-related, point. Maxwell was, IMO, a good enough mathematician so that he could have done the Hertz-Heaviside simplification of his equations himself. Why didn't he? Since he identifies the field quantities in his version as physically meaningful (e.g., vector potential as momentum of the ether), there isn't any point in getting rid of them. He's not just trying to describe forces on charged bodies or currents (which Hertz and Heaviside seemed to be content with), but wanted to know what the ether was up to. If you want an instantaneous snapshot of the ether, you don't want a retarded formulation of the theory. I don't know, but perhaps this influenced him. This "action at a distance" has always been an Achilles Heel. It is resolved, I believe by understanding and applying Causality. We need to understand that if two events occur at the same time, neither can cause the other. Instead, at least one must be caused by some other (hidden) event. Shades of Aristotle. Recognition of this simple concept would, as one example, have stopped generations of instructors from teaching their students that E causes H and H causes E. It would have also stopped generations of mathematical physicists from publishing articles in peer-reviewed publications that "proved" that E causes H or vice versa. And it would have stopped generations of experimental physicists from spending countless hours and dollars in building apparatus to measure the non-existent H between the plates of capacitors. Not so many papers, hours, or dollars. The existence of electromagnetic waves, transverse (i.e., div(E) = 0, div(H) = 0) solutions of the vector Helmholtz equation, is pretty good evidence that the dD/dt term really belongs in the Maxwell equations, so perhaps a more direct "proof" isn't seen as essential. If I have understood your position on this, Timo, it is that the teaching of this is expeditious & that once one gets to the PG leve, the "true facts" are revealed and everything is fine. Well, for better or for worse, what is taught is necessarily simplified. Alas, while a small number of misconceptions might be corrected in later undergrad or postgrad education, many are not. With limited time, and limited initial knowledge, there are limits to what can be taught. I woulnd't say that everything is fine, just that it isn't easy to do much better. One particular problem is that many (most?) courses lead to just cramming for an exam, followed by forgetting. Emphasis on techniques and proofs over any real understanding. One problem is that understanding comes with experience, and a 1 semester course allows very little time for that. I don't think that the current issue (E, H, and causality) is such a big deal. It's mostly harmless as far as beliefs go, and only one of very many various misconceptions that students pick up. They learn far worse ones along the way. It also isn't enough to just tell them in lectures - students don't learn from lectures, they learn from assessment and preparing for assessment. It's hard to assess understanding, so understanding tends to not be assessed strongly, so students don't get really motivated to understand. That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! Likely enough. Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Probably. Very likely. But specialised EM texts are the stuff of advanced (or at least intermediate) undergrad courses. Those who do just 1 or 2 physics courses ay uni, or only do high school physics never get to see them. There might well even be generic introductory textbooks that don't get it wrong, by not mentioning it at all. If I have time in the near future, I will look. Newton 1 and 2 are pretty much just definititions of inertial motion and force, while Newton 3 is (as above) conservation of momentum. How can these be modified sensibly? I'd say that looking at Causality and incorporating what we learn into new expressions that include factors tor time variation of position and for timevariation of mass would get the job done. New expressions for what? My point is that it's easy enough to modify, e.g., a force law (as Heaviside did Newton's law of universal gravitation), or Coulomb's law (as per Maxwell), but a very different thing to try to modify Newton's laws of motion, which are of a very different fundamental nature. Naturally, any such additions must obey conservation of momentum AND must reduce to the original form when time dependancy is absent. Well, if you want conservation of momentum, then you're _not_ going to be modifying Newton 3. Also, if you want retarded interaction at a distance along with conservation of momentum, then you're going to need fields that can carry the momentum from point A to point B (or some other "thing" to have the momentum when the "interacting" objects don't have it). Or we change our ideas about what conservation of momentum means. Yes, if we consider two masses as above (or two electric charges) to be interacting with each other, we have exactly the problem you point out. Does this mean Newton 3 is wrong? Does this mean momentum is not conserved? I would say that it means that we simply don't have a situation where there are two objects interacting at a distance, but two objects each interacting with a field. Perhaps the interaction really is as described by field theory, a local interaction between field and body, and we should throw away the classical mechanics idea of interaction at a distance rather than Newton 3. That's one way of dealing with it. I believe that a better way would be to recognize that Newton's work is not applicable to time dependency. That's no different, conceptually, from Maxwell's expansion of Ampere's Law to include The rate of Change Of E field in order to deal with magnetic fields in a time-dependent environment. I think it is different conceptually. One is a conservation law, and the other describes a limited set of experimental observations. It is true that gravity is a whole bunch of orders of magnitude more difficult to deal with experimentally than EM. Building planetary objects, setting them rotating, and zapping them past one another is way beyond our experimental capability. BUT, we have a handy set of "toys" in our own night sky. And there we have an interesting set of pre-made experiments already in process. Like, maybe, does our model explain why the rotational speed of the Sun at the equator is different from the speed at the poles? Or does it provide some insights into Mercury's (supposedly) residual precession? Does it support or deny the existence of black holes? Does it provide some insight into the "missing mass of the universe" question? What might it say about gravitational waves? Does it provide a definitive explanation of the process wherein potential energy is converted into kinetic energy by a falling body? Does it explain why EM beams are deflected by gravity? But that's a lotta work. Doing it wrong is a lot easier! Apart from the rotational speed of the sun, which at first glance is more a matter of fluid dynamics and plasma physics rather than gravitation, and perhaps the missing mass stuff, yes, our best models of gravity do answer these questions. Alas, they don't reduce to Heaviside's model in the appropriate limit, There was a nice paper by Robert Forward in Proc. IEEE (or Proc. IRE, if before the name change of the journal) in the 1960s about the weak-field limit of GR. -- Timo Nieminen - Home page:http://www.physics.uq.edu.au/people/nieminen/ E-prints:http://eprint.uq.edu.au/view/person/...,_Timo_A..html Shrine to Spirits:http://www.users.bigpond.com/timo_nieminen/spirits.html Excellent response, Timo. It's thoughtful posts like this that make trawling these groups worthwhile. |
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On Fri, 27 Jun 2008 06:35:23 -0700 (PDT), blackhead
wrote: On 26 Jun, 03:25, John C. Polasek wrote: On Wed, 25 Jun 2008 18:32:46 GMT, "Bill Miller" wrote: "Timo A. Nieminen" wrote in message .. . On Mon, 23 Jun 2008, Bill Miller wrote: That leaves hordes of non PG students still believing this rubbish. And it begs the question of why, in UG classes, the instructors don't say *something* about how theses two parameters don't cause each other, but that they always appear simultaneously. I suspect its because the instructors don't know it! I fervently hope you're not teaching anyone. You're too ignorant to be in the business of physics which is that of discerning cause and effect. Instead of denying cause and effect, you should be analyzing for the underlying science. Is there a single UG EM textbook that correctly categorizes the relationship between E and H? Even ONE? Tell us, omniscient one, what exactly what is this precious relationship, of which you are evidently the exclusive franchisee? Here's how I think it works: Volts applied to a coil build up H ampturns/meter which when multiplied by mu store momentum B in webers/m^2. Upon opening the circuit, momentum B divided by mu generates a sizeable voltage back at the original terminals. The field B is successively the sink and the source. Yes V causes B and B causes V. Cheers, Bill John Polasek A charge is the source of E and H which are orthogonal and propagate independently from it as given by the Lienard-Wiechert field equations. I think that's all Bill is saying which isn't wrong, is it? You are right; retardation is adequately represented by the Lienard-Wiechert field, which I also see referenced in my 1962 Panofsky Philips. They are much cleaner and simpler than Jefimenko's which can be seen in Wiki. For Lienard, yes, if you postulate a moving charge it will have complex field effects. But in free space the only current J would be Ddot and there is no overt charge density to put in Jefimenko's equation. This topic is of little practical effect, retardation being a very slippery item, and there is enough other disinformation going around to bother with these sophomoric maunderings. For example, it is unconscionable that there are physicists today still embedded in cgs, a legacy from their professors with these consequences: 1. They have given up the coulomb in favor of the esu. 2. It is not possible to assign units to equations e.g.: D = E please, assign units 3. they gave up capacitance which should be coulomb/volt (or farads) in favor of 4. capacitance in centimeters, a clue to the naive "peas on a knife" view of electrostatics. 5. It is not possible in cgs to intelligently discuss a vacuum capacitor. Enough. More dismal is the idea that most students do not even know the difference between cgs and rmks or SI which have assigned the properties of eps0 and mu0 to the vacuum. The main idea is that there are forces that can store energy in the vacuum which energy then turns around and becomes a source itself in a completely reciprocal fashion. And this, without the intervention of charges. John Polasek |
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