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| Tags: mechanics, quantum, relativistic |
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#81
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Juan R.:
Bilge your words sound as when D'Alemembert 'proved' that Newton was wrong. Or perhaps as when Feynman sure in public that parity violation phenomena was imposible, just after was found. I do not believe on all of Eugene theory, but he is correct in several ways. I unknow what kind of discussions were maintained in the past, but i know recent dicussion on quantum fields on sci.physics.research and nobody here provided serious stuff. Only i dislike... Claiming to have some new theory is one thing. Claiming that one obtained it by rearranging the terms to get new physics is quite another. which is not a scientific argument. Seeing the couple of mistakes you have done here in just a few posts. I am rather skeptic you can valuate Eugene's proposal in deep. In fact, you continue to believe that instantaneous interaction, in the sense of AAAD, needs of a signal travelling faster than c and therefore violating special relativity, which is, excuseme the 'hard' words, an authentic absurdity. How can you accuse to Eugene of 'do not hear criticism of others' if you still has not replied none of questions i did to you. You have not proved that PRE article cited above is wrong. You have not write relativisitc uncertainty You have not write relativistic wave equation for an electron Etc. Juan R. Center for CANONICAL |SCIENCE) |
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#82
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Tom Roberts:
Bilge wrote: How about a short excursion here. What do you think happens if you quantize the field in a curved spacetime? Specifically, will all of the observers agree on which particles are ``real'' and which are virtual? You don't need to introduce the complexity of curved spacetime to make this point. Just introduce an accelerated observer in Minkowski spacetime. Hint: look up Unruh radiation. I was trying to not make the answer obvious. |
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#83
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In article . com,
Juan R. wrote: Gregory L. Hansen ha escrito: In article .com, Juan R. wrote: Gregory L. Hansen ha escrito: Quantum field theory is a theory of fields. It has a particle interpretation, but the fundamental entity is the field. Virtual particles are the expression of the field in momentum eigenstates. When momentum is transferred from the field to an electron, we say a virtual photon was exchanged. The virtual photons are the interactions that the field could be involved in, they're not an accounting of the interactions that have been completed. Precisely Weinberg begins from particles and then obtains the fields. Weinberg does not claim that the field was fundamental as many textbooks incorrectly does. However, the field approach is not posible in bounded states and this is the reason that quantum field theory is defined only for isolated particles (S-matrix). Not possible in bounded states? I'm suspicious of that claim! When you churn the Lagrangian through the Euler-Lagrange equations you get an equation of motion like the Dirac equation with electromagnetic interaction. There's nothing inherently S-matrix about it until you specialize to high energies. Where is there a complete bound-state theory in Weinberg manual for example? It doesn't have to be in Weinberg manual. No single textbook is comprehensive, or can represent work done after it was published. R-QFT clearly states that only possible observables are those derived from S-matrix, which is only valid for independent particles (remember the cluster decomposition principle). In rigor R-QFT only deal with free fields. The S-matrix is a particular method of solving the equations of motion. Specifically, it's useful when the end states are mostly the free particle states. Crank the Lagrangian through Euler-Lagrange equations and you'll get an equation of motion, like the Dirac equation with electromagnetic interaction. Solve it any way you like. The S-matrix is one way. The different is that the single-particle theory has an equation of motion like (expression) |psi = 0 where |psi is the wavefunction. The field theory has an equation of motion like (expression) PSI |f = 0 where PSI is a field operator and |f is a wave function in Fock space. |f is an accounting of momentum eigenstates, and any wavefunction that can be expressed in position space can be expressed in momentum space by a Fourier transform. So I haven't specifically seen bound state problems solved in QFT, but I'm suspicious of claims that they can't be. .... Bethe-Salpeter and others are incorrect. At one hand, one claims that two body state is a 16 component wavefunction. At the other hand in the interaction regime one uses propagators derived from formals series of QED which clearly state that there is not two body wavefunction for the two electrons. The propagators themselves are arbitrary. Greiner makes that clear in his book "Field Quantization" by delaying the choice of a basis for as long as possible. Eventually he chooses a basis of momentum eigenstates, like everyone else does. But I've wondered what you could do with, for instance, a basis of hydrogen orbitals. I know from condensed matter, another study where quantum field theory is usefully applied, that the choice of a basis can make the difference between a practical solution and a mess, although theoretically the choice of a basis makes no difference. -- "You're not as dumb as you look. Or sound. Or our best testing indicates." -- Monty Burns to Homer Simpson |
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#84
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Bilge ha escrito: Most people would disgree that a theory based on instantaneous action at a distance is a better idea, since the instantaneous part conflicts with observations. Completely wrong!!! As proven by many authors retarded LW potentials disagree with many recent experimental data on Mercury forces on Hg, railguns, tokamaks anomalies, etc. From a theoretical point of view, several authors have proven in recent years that LW potentials are theoretically incorrect. In the PRE article i cited above authors proved 1) LW potentials are not complete solutions of Maxwell equations 2) The introductions of an instantaneous action does the solutions complete. My only criticism to that paper is the dualism concept which is solved in my approach. It is another general misuderstanding that an instantaneous interaction conflicts with wave data or similar. There exist absolutely no experimental data proving that instantaneous interactions are wrong. In fact, as proven by members of the Weber electrodynamics school in recent years if one begins from an instantaneous Weber-like interaction one can obtain the telegraph equation (retarded action) when one considers bulk matter. My own EM theory (direct particle interaction generalizing Fokker, Dirac, Wheeler, Feynmann, Hoyle, and Narlikar theory) is compatible with all experimental data of standard EM and also with tests that classical EM cannot pass. Moreover, there is no renormalization of mass, there is no divergences, etc. Moreover, one obtains the full equation of motion for particles. Remeber that field theory cannot obtain the full equation of motion even for a single particle!!! The Maxwell-Lorent equation is NOT complete and violates conservation of energy. The field theoreticians proposed /AD HOC/ (ad hoc because cannot be derived from the Lagrangian), the Maxwell-Lorent-Abraham-Dirac equation, which is so ugly and full of unphysical behavior that practically nobody acept it as real. Our theory correct all of those! Moreover the canonical theory explain why one does not observes aberration in gravity. Carlip wrote a paper on this, but it is wrong. i) He eliminated all aberration via chosing a specific example without aberration!!! and then Carlip obviously obtained not aberration at the final of his 'proof'. ii) He used LW potentials, which as proven in many rigorous papers are incorrect (see for example above cited PRE article. iiii) Carlip did not consider first-order terms on Universe backreaction (when one does that Carlip's conclusion turns wrong). iv) At the best, Carlip agreed in the conclusions of his paper that van Flandern's approach (speed of gravity c) WAS compatible with experimental data on absence of aberration. One can formulate quantum field theory, e.g., QED, without using fields as basic concepts. This sounds rather controversial, but it can be done. Sure. You can rename anything and then claim you've eliminated the concept. That doesn't make it so. It does, however, make it easier to make the mistake of treating what is supposed to be unobservable in field theory as observable. Colleague, have your hear about Wheeler/Feynmann theory of absortion? It is a theory withou fields and can be quantized. In fact, in a recent rev on modern physics has been illustrated that a 'QED' without fields explains the same experimental data that standard QED and can offer replies to questions that standard QED cannot even ask. Read for example Rev Mod. Phys 1995 67(1), 113. The theory ***without*** fields is better than the theory with them!! Canonical theory is still better and correct some errors of that paper :-) Consider a longlived, metastable state. Such a state could be due to the ground and first excited states being connected by a forbidden transition. Now, one could arrange to populate a large number of such states such that the emitted radiation has a fairly constant intensity. Now, at some distance away, you set up some apparatus capable of producing a strong electric field which may be turned on and then turned off very quickly after being turned on. Since such an electric field will result in level mixing in the atoms (or nuclei, or whatever), the transition rate will change due to the pulse of the electric field. That will change the intensity and spectral characteristics of the emitted radiation. According to you, an observer located at the apparatus should observe the change in intensity in half the time that a more sane view would allow, since according to you, the electric field propagates everywhere instantaneously, so that the only delay observed by the observer in question is the transit of the light, one way. Thhe rest of the boring nay-sayers would require the time for the electric field to propagate to the metastable states to be included. Since the propagation speed is no greater than c, twice the time should be required. well-defined finite Hamiltonian that allows one to go beyond scattering events and consider the time evolution of interacting systems. completely WRONG discussion. You have not idea of AAAD theory. Juan R. Center for CANONICAL |SCIENCE) |
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#85
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"Bilge" wrote in message ... Most people would disgree that a theory based on instantaneous action at a distance is a better idea, since the instantaneous part conflicts with observations. What observations? The approach I am talking about is completely equivalent to the old renormalized QED as far as the S-matrix is concerned. In contrast to the old theory, it has a You need to distinguish between any formal results you might have obtained and your quirky interpretation which gives physical status to things which are unobservable. To illustrate the difference, let's just apply your _interpretation_ of instantaneous propagation and watch the equivalence vanish. Consider a longlived, metastable state. Such a state could be due to the ground and first excited states being connected by a forbidden transition. Now, one could arrange to populate a large number of such states such that the emitted radiation has a fairly constant intensity. Now, at some distance away, you set up some apparatus capable of producing a strong electric field which may be turned on and then turned off very quickly after being turned on. Since such an electric field will result in level mixing in the atoms (or nuclei, or whatever), the transition rate will change due to the pulse of the electric field. That will change the intensity and spectral characteristics of the emitted radiation. According to you, an observer located at the apparatus should observe the change in intensity in half the time that a more sane view would allow, since according to you, the electric field propagates everywhere instantaneously, so that the only delay observed by the observer in question is the transit of the light, one way. Thhe rest of the boring nay-sayers would require the time for the electric field to propagate to the metastable states to be included. Since the propagation speed is no greater than c, twice the time should be required. That's a great idea for an experiment. Have anybody done it already? Have they observed double propagation time? What makes you so confident about the outcome of this experiment? Eugene. |
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#86
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Juan R. wrote: Eric Gisse ha escrito: Wald obtains the correct potential and the correct definition of acceleration (a = -del*phi) on page 77. MTW and "Spacetime and Geometry" obtain the same metrics as Wald. I fail to see what you are complaining about. Exactly! You see page 77 of Wald and you think "equation (4.4.21) of Wald is Newtonian law". I should have qualified that by explaining what phi was. My mistake. The phi obtained is GM/r. But it is NOT. I already detailed just some of most basic points on why is NOT Newtonian gravity law in both sci.physics.relativity and sci.physics.research. Since you appear unable to find the posts -including discussion with Carlip- i detail some of post next. Found it. 2nd times the charm? *shrug* http://groups.google.com/group/sci.p...6?dmode=source The derivation is incorrect as i will prove AGAIN. 1) Derivation in the linear regime is WRONG. In the linear regime a=0; newer (repeat NEWER) a=-grad (Phi). In fact, you see Wald derivation and you believe because you have not revised details -see below- that derivation is correct -just as you cite the MTW- but derivation is INCORRECT. The linear regime predicts a=0 and Newtonian gravity predicts a = - grad(Phi). ["NEWER" ?] That isn't a proof, that is a statement unsupported by fact. ***Therefore GR does not reduce to NG in the linear regime***. Usual textbooks are wrong. Then if you cannot understand an elementary derivation WHY are you doing wrong claims? Note i would be not as hard with you if you had claimed "Hey Juan R. I think that you are not correct by this and this". But you categorically claimed "you wrong" even without the most basic understanding of the topic! Again, I remember you that we are doing serious stuff, this is not string theory or general relativity, this is canonical science. *snicker* If you have time you would read pag 78 of Wald: "If one stays consistently within the linear approximation, one predicts that test bodies are unaffected by gravity. Thus, in obtaining equation (4.4.21) we actualy have gone beyond the linear approximation". That is the reason why i said that Wald derivation is NON-linear, since in the strict rigorous linear regime a=0. All textbooks claiming that in the linear regime a is different from zero are wrong and simply are modifing *reality* for consistency with Newtonian law. Ok, then next Wald claims that in the non-linear regime, the derivation is already correct, but, again, that is not true. How you extend a=0 from just test bodies to ALL bodies is a mystery beyond my understanding. I guess it is easier to assume that everyone is wrong and you are right, I suppose. 2) Wald (4.4.21) is not Newton equation. The 'Phi' in (4.4.21) is not Newtonian potential it is a retarded LW potential. The 'a' in (4.4.21) is not Newton aceleration because 'x' is not Newtonian 'x'. Moreover 't' in (4.4.21) is not Newtonian time. I am not going to argue about this when it is all explained on the very same page which you are referencing. If you think a = -del*phi isn't the Newtonian potential, your understanding of Newton is suspect. What is more, (4.4.21) is not a nonrelativistic equation because it contains c in both terms left and right and this is an authentic absurdity. Non relativistic equations do not contain c. Moreover, the metric used by Wald also contains c and does not correspond with Newtonian physics. It is close enough. If you want authentic Newton, use Newton. I really don't understand why you are complaining about this... 3) Moreover functional dependence is wrong. In (4.4.21), phy = phi(x, t). In Newtonian physics, phi = phi(R(t)). Wald simply writes 'phy', without details, and then it appears that one has derived Newtonian law. The details you seek are between 4.4.20 and 4.4.21. Wald simply writes "phi" because he DID explain it not but a moment before. But since you have a bit of difficulty reading, I will explain. phi is dependant on x^i, i=1,2,3. It is explained, as I said, on the very same page of which you reference. phi is not dependant on time - it is explained, as I said, on the page of which you reference. When I said your understanding of Newton is suspect, I was correct. In Newtonian gravity, phi is dependant on r, not t. 4) The fixing of the gauge of the GR phi is done via asymptotic regime. This regime is called 'island universe asumption' and it is wrong, because it is not verified by experimental data. In Christian's own words: "However, physical evidence clearly suggests that we are not living in an 'island universe' " In Penrose's own words: "universe is not 'an island of matter surrounded by emptiness'" I would hope Penrose, of all people, understands the utility of an approximation. Etc. Wald derivation is a complete nonsense. If GR is consistent, the Newtonian limit may BE the c-- infinite limit of GR. But Wald did NOT the c-- infinite limt. Wald only took the slow motion weak field limit. Which is close enough. I repeat again that people doing research does not follow textbook wrong derivation. If you take the c-- infinite limit you discover that gravity breaks down and cannot explain Newtonian gravity. This is not so difficult to understand in the c--infinite limit there is no curvature. The metric is What is the curvature scalar for the Newtonian limit if you allow c to go to infinity? (1 -1 -1 -1) That isn't the metric that results if c is infinite. Steve Carlip explained this to you before. The metric for flat space, with c restored, is diag(-c^2,1,1,1) assuming the -+++ sign convention. Now, what is lim -c^2 -- oo? It certaintly isn't -1. Therefore if GR was a consistent theory would have no gravity. That is stupid. Seriously, it is. Carlip has done an attempt to derive Newtonian limit on both sci.physics.resesarch and sci.physics.relativity but: i) He uses a wrong metric that forces to us to rewritte all relativity. For example, in his nonstandard approach there is no four currents and there is not four space. The EM four 'current' is a strange mixture of densities and true currents in Carlip nonstandard approach. Where did your nitpickery go? In Newton there is no 4-anything. My metric is standard, verifies all experimental data and is consistent with particle physics, special relativity and Maxwell EM. Moreover my chossing of metric is recommended by Astronomical societies. Ooooh. It all makes sense now. Actually learning and changing your opinions is impossible for you because you have a vested interest in how you currently have your theory written - no matter how absurd it is. I stopped taking you seriously at all right about....here. ii) Carlip takes the wrong spacetime (t, x) which looks like (t, x) in the nonrelativisitc limit. That is, Carlip think that in Newtonian physics time is a dimension which violates the most basic understanding of Newtonian physics!!! God, stop whining. GR isn't Newton because they are fundamentally different. To expect otherwise is foolish. In my own spacetime (ct, x), the limit is the correct (infinite, x). The zeroth dimension of spacetime collapse, doing time as dimension a wrong concept, and this is good. One recovers time as an evolution parameter (x^0 collapses by t does NOT collapse), WHICH is the correct Newtonian concept of time. In any elementary textbook of mechanics one can verify that the state of the system is (p,q) parametrized for one single evolution parameter t called absolute Newtonian time. Sounds like you are one of those MOND people, except with 100% more crank. Your usage of "collapse" is completely unmotivated and confusing. iii) By taking the wrong spacetime and wrong limit, Carlip obtains the functional dependence Phi(x,t) when the correct dependence in Newtonian physics is Phi(R(t)) because time is NOT a dimension in Newtonian physics and interactions are not field-theoretic ones. Moreover, there are difficulties with the use of Phi(x,t) for example violation of causality in the transition to stationary regimes, etc. Get the functional dependance of phi correct and try again. My work on gravity corrects this and one obtains the correct functional dependence without lack of continuity, etc. Your "work" on gravitation is based on Newton and GR's Newtonian limit? Are you kidding? iv) Carlip choosing of wrong spacetime and wrong metric does that he obtains a nonzero 00-connection. This is wrong. In GR, the covariant derivatives are physical derivatives, therefore in Carlip approach the only measured (physical) derivatives are What the hell is a "physical" derivative? It sounds like you are inventing new terminology as you go along. The reason the 00 connections are nonzero is because of the metric. If you wish to argue about that, you will have to dig a little deeper and complain about how the metric was derived. covariant = usual partial ones + 00-connection. Only true in a specific case, not in general. This is of course WRONG, any textbook of Newtonian mechanics explains that the correct derivatives are usual partial ones. For the love of god, stop whining. This is a different theory. It is not Newton. In my own work, the 00-connection is zero therefore Newtonian derivatives are partial ones. This is correct. ...and you get a = 0 Which is....incorrect. v) The scalar curvature in Carlip approach is R = R_00/g_00. Since he introduces the c^2 term into g_00, in the limit he obtains R -- 0. That is, in GR, gravity is spacetime curvature, even ignoring all four points of above doing Carlip derivation just wrong, one obtains that in the nonrelativistic limit the curvature of spacetime is ZERO. If A is the cause of B, then elimination of A may eliminate B. The curvature interpretation of GR is not only artificial (as proved by teleparallel gravity or FTG) is also incorrect. So what are you saying, R *doesn't* go to 0 as r goes to infinity? In my own metric, the curvature is zero as correspond to Newtonian physics. Are you heard in some textbook of Newtonian physics that spacetime, time, or space is curved? *sigh* GR IS NOT NEWTON. Say it with me. GR IS NOT NEWTON. To expect otherwise is foolish. Is "your own metric" even a valid solution to Einstein's field equations and does it even reduce to the Newton at the proper limit? vi) In the derivation from GR one may fix the 'gauge'. Carlip uses asymptotic limit. This is again wrong. As explained by Christian, Penrose and others, the island asumptions is ***experimentally*** false. BFD. You are looking for something to complain about. The "island assumption" is perfectly valid because we aren't trying to find the metric of the universe, just for a specific case under specific assumptions. Other people, as Christian, does use of aditional equations and constraints do NOT derived from GR. There is still more points and very very sophisticated that i do not discuss with Carlip, but since he is unable to recognize difference between a Newtonian potential (R(t)) and the nonrelativistic limit of a retarded LW field (x, t), i consider unnecesary to discuss advanced stuff with him. Get the functional dependance of phi right first. I see it as you are advocating a pet theory of your own and you haven't dedicated the necessary time to properly learn GR. You keep making mistakes, and often repeat them even when corrected by others. Juan R. Center for CANONICAL |SCIENCE) |
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#87
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Bilge wrote: On the other hand, it's very easy to see how specific diagrams contribute to observable effects. For example, the diagram, \ is the first order correction to the magnetic moment. .\ It is easily interpreted that way, too. The virtual . \ photon which connects to the ingoing and outgoing . /~~~~ electron lines carries momentum. That modifies the / momentum at the vertex in the middle. A charge which / scatters from the electron then sees the modified momentum present at the middle vertex which connects the exchanged photon. Does it bother you that this graph makes infinite contribution to the scattering amplitude? Eugene. |
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#88
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Bilge wrote: For example, you reject any explanation, proof or argument in which the words lagrangian, field, phase, or gauge are used as well as some I probably omitted because I don't recall all of your quirks. I reject your arguments based on Lagrangian, field,or gauges bacause these concepts are theoretical assumptions that 1. do not have experimentally observed counterparts and 2. do not follow directly from fundamental principles By "fundamental principles" I mean the postulates of quantum mechanics and the principle of relativity. In my book I demonstrate that these two postulates plus generally accepted form of the Hamiltonian in the renormalized QED plus a few experimentally supported postulates (e.g., the cluster separability, the triviality of the vacuum and 1-particle states) lead directly to the theory in which interactions are instantaneous. Eugene. |
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#89
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I see it as you are advocating a pet theory of your own and you haven't
dedicated the necessary time to properly learn GR. You keep making mistakes, and often repeat them even when corrected by others. ******************************* "Judge not, and ye shall not be judged." - Some minor work of fiction. |
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#90
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