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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
\(formerly\)" dlzc1.cox@net wrote in message news:MUWdb.26932$gv5.11511@fed1read05...
Dear Aleksandr Timofeev: "Aleksandr Timofeev" wrote in message om... ... http://groups.google.com/groups?selm...g. google.com VLBI is the direct experimental proof glaring inaccuracy of a hypothesis about existence of "photon" as a particle and " "particle-wave duality" model ". Which I see no proof of, and you will next draw your little antenna diagrams to **** off various persons. If all objects are spatially extended, then *here* is also to some extent *there*. Any particle can behave like a wave. But not any wave has behaviour similar to a DeBroigle's particle... The Bohm-DeBroigle theory is on the wrong track when it postulates * both * particles and waves for light. ;o))) 1. Burke B.F., Quantum Interference Paradox, Nature, 223, 389-390, 1969. 2. http://groups.google.com/groups?selm...g .google.com Steve Carlip: On the other hand, it certainly *is* possible, and not too hard, to give compelling evidence that the classical wave theory has serious problems. Three strong arguments are prompt electrons in the photoelectric effect, the behavior of a single photon in a beam-splitter Aleksandr Timofeev: See disproof of "the behavior of a single photon in a beam-splitter " located below. , and (slightly more complicated, but not by much) photon antibunching. Martin Green: But you seem happy to use misleading arguments about the photo-electric effect to help build up your "preponderance of evidence from different sources"....as long as you don't claim the photo-electric effect is enough "by itself". What *specific* ``misleading arguments'' are you accusing me of? And by the way, just because you cannot understand my reasons for holding these opinions, it doesn't mean that they are "silly", as you called them. I used the word ``silly'' in one instance. It had virtually nothing to do with your ``reasons for holding these opinions''; it had to do with your instant and apparently reflexive dismissal of an example of a conceptually simple experiment that showed the existence of photons. Let me repeat it, and perhaps you can tell me specifically why you don't think it's suitable for undergraduates. The idea is simple: trap what should be one photon's worth of light on an optical table, send it through a beam-splitter, and see if you can divide it in half. If a semiclassical wave theory is right, the beam-splitter should split the wave in half, and if one half has a probability p of triggering a detector, there will be a probability p^2 that both detectors will be triggered. If quantum theory is right, the single photon will trigger one detector or the other, but never both. Just in the given place of your physical interpretation "the behavior of a single photon in a beam-splitter" there is a methodological error. This methodological error is mixing of two insulated physical processes in one whole: 1. Process of transiting of electromagnetic radiation through slots of an interferometer. 2. Process of shaping of an interference pattern. Now there is a rather new type of an interferometer - VLBI, in which one this methodological error is demonstrated in the bright and decisive form: The interference picture in VLBI (interferometer) is pure mathematical abstraction, since the construction of an interference pattern is carried out in the computer. In VLBI there is no direct physical process of addition " of waves " passing through slots! Whether you can give physical interpretation of principles of operation for an VLBI (interferometer) from the photon point of view? There are two graphic schemes illustrating the description: Step 1. The microwave interferometer with superlong basis. Part 1. ---------------------------------------------------------- Block scheme. .. [videotape 1] [videotape 2] .. ^ ^ .. | | .. radio-receiver 1 radio-receiver 2 .. | | .. | Length of VLBI basis = Earth diametr | .. |--------------------- {snip} ------------------| .. /^\ antenna 1 antenna 2 /^\ ..^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ {snip} ^ ^ ^ ^ ^ ^ ^ ^ ..| | | | | | | | | | | | | | | | | | | | | | | .. Noise microwave radiation VLBI (interferometer) simultaneously record the information reflecting a state of an electromagnetic field in space of each slot (from the antenna) on a magnetic tape, it is natural that for each slot/antenna we use a separate magnetic tape. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^ Step 2. .. The microwave interferometer with superlong basis. Part 2. .. ---------------------------------------------------------- .. "Interference pattern" .. ^ .. | .. [videotape 1] ------ [ COMPUTER ] ---------- [videotape 2] The VLBI interference is a new kind of an interference - so-called postponed in time or virtual interference, i.e. abstractly or mathematically realizabled interference in the computer. In any time, convenient for us, we input the information from macroscopic magnetic tapes in the computer and mathematically on any required (demanded) algorithm (which can be changed at any time) we obtain an interference in representation, necessary for us. The physical principles of operation of an VLBI (interferometer) enable physically to divide two physical processes: Step 1. Process of transiting of electromagnetic radiation through slots of an interferometer. Step 2. Process of shaping of an interference pattern. Note 1. The interference pattern in VLBI (interferometer) is pure mathematical abstraction, since the construction of an interference pattern is carried out in the computer. Note 2. Here there is no direct physical process of addition " of waves " passing through slots! How does the possibility of addition " of parts of a single photon " from two magnetic tapes? Is it possible? Or is it impossible? What's so hard about that? How do you get ``what should be one photon's worth of light''? Easy: you gather the light from a single atomic transition. There are various ways of doing this (atomic cascades to trigger a shutter, using a parametric downconverter, etc.), but the details don't really matter much---if you get the quantum result, you know that your triggering mechanism succeeded in capturng a single photon. There are some technical details in the analysis, having to do with accidental coincidences when your shutter isn't fast enough, but it only takes a few lines of simple math to show that the quantum result is still drastically different from the classical one. What's so hard about that? Steve Carlip http://groups.google.com/groups?selm...g .google.com But you still cannot describe the photoelectric effect, unless a photon is also a particle (or quanta). I did(made) this proof already many times, but... The photon is mathematical abstraction, which in the implicit (latent) form reflects existence of discrete power levels in microsystems and as a corollary a capability of exchange by electromagnetic energy between systems only by discrete portions. Regards Aleksandr Timofeev PS Dr. Rodney B. Hall of the University of Iowa writes: " Perhaps faith or the lack of it is simply a matter of indoctrination. You have been indoctrinated by the priests or the professors or both. " http://surf.de.uu.net/bookland/sci/farce/farce_toc.html How nice. David A. Smith |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear Aleksandr Timofeev:
"Aleksandr Timofeev" wrote in message m... \(formerly\)" dlzc1.cox@net wrote in message news:MUWdb.26932$gv5.11511@fed1read05... .... PS Dr. Rodney B. Hall of the University of Iowa writes: " Perhaps faith or the lack of it is simply a matter of indoctrination. You have been indoctrinated by the priests or the professors or both. " http://surf.de.uu.net/bookland/sci/farce/farce_toc.html Since you are done with your own original words. and are referring back to proofs you never offered, we are done. One conversation with Sergey is enough. David A. Smith |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"sean" wrote in message om... "George Dishman" wrote in message ... Nope, the restoring force pushing the water back down must be proportonal to the height to get a sine wave. The power is force times velocity. As the water passes horizontal there is no force and maximum speed. As it continues to rise the force is downwards but the speed is upwards so energy lost is negative, the water gains potential energy but the force is acting to slow the water so it loses kinetic energy. When it is static at the top, it has maximum potential and no kinetic energy. Hi George Hi Sean, I've trimmed all but the reference to "restoring force" for context. I assume you now see why your use of "capacitor-like" was confusing me. I'm sure you will find a more appropriate analogy. Interesting and very informative points you offer, thanks. I am interested in particular in the points you mention above regarding the length of the electron orbit being comparable to the containing energy and the word you use `restoring force` which I sort of get but not quite. Its a complex idea summarized briefly so I have guess a bit to connect it together. The simplest example is for a mass and spring. If you displace the mass from its rest position, there is a force from the spring that tries to restore it to the rest position. That force will accelerate the mass but when it gets back to that rest position, it is still moving so momentum carries it past and so it oscillates. I used the term loosely, in an electrical LC circuit, the equivalent is the voltage that 'forces' the electrons through the components. I assume that a resonant system `breaks down if the incoming energy input is too great` and the limit you mention is breached. What happens to a classical resonating system if its pushed past its limit? That depends on the system but "resonance" just refers to the phenomenon of the system absorbing more power when a driving force is applied at the natural frequency. I assume in strings the string snaps , releasing the energy. In a vibrating jug of water its harder to visualize the result. Maybe the water suddenly sprays randomly about and explodes. Think of the classical example, an opera singer shattering a wine glass. That it is an example of resonance is clear because she has to get exactly the right note and hold it for some time while the energy in the vibration builds up. I think part of the reason I go for a wave only analogy is sometimes the standard model of particles seems to not make sense. For instance if a photon hits the electron and ejects it from its orbit thats called photoelectric effect. What happens then when a photon of not enough energy hits the electron? Obviuosly it doesnt eject an electron so theres no photoelectric effect. Right, or there is enough energy to displace it from the atom but not from the bulk of the material. Is the result just a reflected photon with some energy lost and called the compton effect? You can see the material so some photons are reflected. The Compton effect is specifically about free electrons but is an example of what you describe. The other unexplained is where does the energy lost in the compton effect go to? I cant find any refernce that accounts for the lost energy except to guess and say that maybe the electron that got hit by the photon has increased energy taken from that lost by the photon. Correct, and in fact that is essential analysing what happens: http://scienceworld.wolfram.com/phys...tonEffect.html Note the two key points, momentum and energy are both conserved. But then the atom and that electron are in a different heightened state and not only do I find no reference to this it seems that this heightened state should be observed as a increase in something observed. It just doesnt seem to work for a particle theory from what I have read . For an electron bound to an atom in a surface, the whole atom can be affected. It is like hitting a knot in the middle of a net, the energy dissipates into the bulk of the material. Basically, the surface will be warmed up very slightly as the vibration of the atom caused by the impact gets turned into heat. The warming of the material when considering the photoelectric effect is a side-effect so is seldom mentioned. The bottom line is that energy and momentum must both be conserved in any interaction. Take a more detailed look at a PMT`s response frequency range. A graph shows that there is an increase -peak- decline in energy detected by the PMT as the wavelength of the incident light increases so the sensitivity is not centered on one frequency but across a small range and at different levels. How does the photon-electron model account for this. If it was only one frequency of photon that has the energy to eject the electron then you would have thought that the response graph would be a single spike at just one frequency with no attack decay. The graphs are different, you are not comparing like with like. Either the electron gets ejected or it doesnt. A slightly lower energy photon cant just `partly` eject an electron . Correct and that is what is seen in lab, look at the graph at the bottom but note also this is NOT using the same scales as the PMT response curves. http://theory.uwinnipeg.ca/physics/quant/node3.html The line is straight and reaches zero at some frequency. Below that frequency there are no electrons emitted no matter how bright the light or how long it shines. Above that cutoff frequency, you get electrons emitted and what is shown on this graph is how much energy they have. The photon arrives with energy hv and W is used up getting the electron free of the surface. The remaining energy then remains with the electron in the form of kinetic energy, it is moving and some move towards the other plate. You can measure how much energy the electron has by applying a voltage between the plates that repels the electron. The result is that the electron has maximum energy E whe E = hv - W where W is the work done to release the electron. Note this implies you could get one electron per photon at best. The brighter the light, the greater the current that will flow. Yet we get a gradual increase and decrease of energy by the PMT as the input light is increased in wavelength. No, you get a gradual increase and decrease of _efficiency_, the number of electrons per photon that are released. Nothing is perfect. 100% means one electron per photon but says nothing of the energy of the electron on emission. And for that matter one would also have thought that any photon above that level/frequency would have ejected the electron and still continued its path deflected and at a lower frequency . That is one reason why some electrons have less than the maximum energy. The lab test increases the voltage until the current falls to zero to find the maximum energy, but the current will reduce as that voltage is approached. The higher the energy photon the less energy it loses . So a response graph for the photoelectric effect should be that ABOVE the lowest energy electron level that electron will always be ejected provided the incident radiation photon was at that energy level or higher AND a additional deflected lower energy photon should be detected . Unless the photon is absorbed by, for example, a protective glass cover before reaching the photoelectric material. That may well happen to the short wave lengths for example in these curves. http://www.hpk.co.jp/Eng/products/ETD/pdf/m-specte.pdf Yet the PMT response graphs show a sharp fall off as the frequency of the photon increases, and I find no mention of an associated refelcted light of less energy than incident . That to me doesnt fit particle theory . You are looking at practical devices with real world limitations. If I can interpret the length of the electron orbit which you say is in a sense equivelent to what is containing the system . So in a vibrating water jug the length of the electron orbit is equivelent to the jug size and the water density/elasticity. As an atom has many electron orbits it follows then that it must have many levels of containment so that it is resonating at many different frequencies and for each `level` there is a limit or what you call maximum potential. And each of these `levels` can be defined or measured as having distinct and seperate frequencies. I wonder , if that is a correct interpretation then can one level effect another. For instance.. an atom resonates at two electron levels: 200nm and 400nm and if an input of light at 200nm raises the energy level of the 200nm `electron orbit` it must also raise the level of the 400nm electron orbit as it is a multiple of the 200nm level. It doesn't "raise the level of the orbit", it moves the electron from one orbit to another. Imagine there is an orbit at radius r where n cycles of the electron fit into a circumference and the electron has energy E, and there is another orbit at radius r' where n+1 cycles of the electron would fit and it would have energy E'. Now if there is an electron at radius r and a photon with energy hv = E' - E arrives, it can move the electron up to the higher orbit. The momentum is transferred to the atom too of course. The electron can return to the lower orbit and will emit radiation at that same frequency hv = E' - E. Or if the electron level is only at 400 nm any multiple of that frequency should effect that one level when incident on the atom. Unfortunately I dont have any reference for an atoms emission spectra in nm. Usually its just a plain black bar with coloured stripes without any wavelengths numbers written on it to refer to. The simplest example is for hydrogen: http://hyperphysics.phy-astr.gsu.edu/hbase/hyde.html (wavelengths in the table at the bottom) but the most easily observed is sodium: http://hyperphysics.phy-astr.gsu.edu...um/sodium.html Check your street lights ;-) A _simple_ resonant system is like a flywheel, it stores energy in a vibrating system but you need some sort of non-linearity to convert it to other frequencies. Aleksandr and Sergey have been talking a lot about complex systems where multiple resonant circuits at different frequencies are coupled together with non-linear parts in various places. Sorry, neither capacitors nor resonant systems quantise anything. You can treat an electron in orbit round the nuleus as a resonant system but it only accepts power at it natural frequency, that's what resonance means. That can be used to explain spectral lines but of course it is the opposite of what you want for the photo-electric effect. In that, once you exceed the threshold, the ejected electron energy is E = hv - W Thats interesting . You suggest here that an atom as a resonating particle even in QT is considered to eject its `electron ` only once the `threshold ` has been exceeded due to increasing input energy. Nope, the electron is constrained by the nucleus to form a 'resonant system'. The electron can only jump between levels that are well defined giving very narrow spectral lines. The photoelectric effect is like shooting a satellite out of orbit with a bullet. You need hit it with enough energy to exceed escape velocity. After that, whatever excess energy there was is carried of by the satellite as kinetic energy. In the energy diagrams on those web pages, note that the higher numbers get closer together. It takes les energy to jump up a level when the electron is farther from the nucleus. There is a limit for n = infinity and you have to provide that amount of energy to free the electron from the atom. Is that not essentially what I was suggesting a wave only atom is doing as a resonating system when it reaches its maximum limit, is breached and ejects a pulse of stored energy in one go? I dont see a difference there. The difference is subtle but important. I think you were assuming the atom could store a smoothly varying amount of energy whereas resonance implies specific frequencies and hence specific levels. Isnt the electron ejected due to threshold `breached` essentially the same as saying :A wave only atom has input driving force of one frequency of light . Once the resonating frequency( the same as that of the light) has its maximum amplitude breached from the input driving wavelength it then releases its stored energy in one pulse. You call that pulse an electron . QT gets around explaining how wave only energy can build incrementally to produce a pulse called a electron by saying that all the wave energy came in one photon that knocked out the electron. No, QT doesn't say that at all, it doesn't build an electron incrementally. The concept of the electron is QTs explanation only. It must surely be the case that in classically observed resonating systems like strings, water etc, a cataclysmic release of stored up excess energy is also observed when the maximum is breached. What would happen is the string may break or the water spray out of the jug. In classical systems they only just ` break` whereas in a wave only atom it could break, release its energy as observed(and sometimes called a electron) and reset itself to the original amplitude . Surely this is a valid explanation for wave only theory. I realize that my initial approach to explain it in terms of different frequency input only (maybe) explains the emmission spectra but maybe still an increases in amplitude past the maximum can create the right conditions in classically observed resonant systems. For instance if the input light is lower the maximum amplitude is breached less frequently . THats observed in PMT`s. The lower the light level the less frequent the amount of blips `photons` are recorded And for a clasical resonant system could one then also say that if the amplitude of the input driving force is less then the maximum is breached slower. If that same system were able to reset itself like for instance if one could instantly change a broken guitar string then the effect would be that ones string would break every 1/2 a second under a certain amplitude of input driving force and if that driving force were doubled lets say , the string might break every 1/4 of a second? It all hinges on what is observed in cklassical resonating systems when the maximum is breached and I have no information on that. I wonder even if that has been studied? Things that break are studied, and resonant systems are studied (mostly to prevent it) but resonance isn't about breaking things, apart from wineglasses perhaps ;-) If the input circuit of your radio exploded every time you tuned in a station you would not be pleased! George |
#144
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
\(formerly\)" dlzc1.cox@net wrote in message news:MUWdb.26932$gv5.11511@fed1read05...
Dear Aleksandr Timofeev: "Aleksandr Timofeev" wrote in message om... ... http://groups.google.com/groups?selm...g. google.com VLBI is the direct experimental proof glaring inaccuracy of a hypothesis about existence of "photon" as a particle and " "particle-wave duality" model ". Which I see no proof of, and you will next draw your little antenna diagrams to **** off various persons. If all objects are spatially extended, then *here* is also to some extent *there*. Any particle can behave like a wave. But not any wave has behaviour similar to a DeBroigle's particle... The Bohm-DeBroigle theory is on the wrong track when it postulates * both * particles and waves for light. ;o))) ************************************************** ************** Below I destroy the myth of self-interference of "photon"; " - photons, like all particles can be made to self-interfere " ************************************************** ************** *** 1. Burke B.F., Quantum Interference Paradox, Nature, 223, 389-390, 1969. 2. http://groups.google.com/groups?selm...g .google.com Steve Carlip: On the other hand, it certainly *is* possible, and not too hard, to give compelling evidence that the classical wave theory has serious problems. Three strong arguments are prompt electrons in the photoelectric effect, the behavior of a single photon in a beam-splitter Aleksandr Timofeev: ************************************************** **** ************************************************** **** See disproof of "the behavior of a single photon in a beam-splitter " located below. ************************************************** **** ************************************************** **** , and (slightly more complicated, but not by much) photon antibunching. Martin Green: But you seem happy to use misleading arguments about the photo-electric effect to help build up your "preponderance of evidence from different sources"....as long as you don't claim the photo-electric effect is enough "by itself". What *specific* ``misleading arguments'' are you accusing me of? And by the way, just because you cannot understand my reasons for holding these opinions, it doesn't mean that they are "silly", as you called them. I used the word ``silly'' in one instance. It had virtually nothing to do with your ``reasons for holding these opinions''; it had to do with your instant and apparently reflexive dismissal of an example of a conceptually simple experiment that showed the existence of photons. Let me repeat it, and perhaps you can tell me specifically why you don't think it's suitable for undergraduates. The idea is simple: trap what should be one photon's worth of light on an optical table, send it through a beam-splitter, and see if you can divide it in half. If a semiclassical wave theory is right, the beam-splitter should split the wave in half, and if one half has a probability p of triggering a detector, there will be a probability p^2 that both detectors will be triggered. If quantum theory is right, the single photon will trigger one detector or the other, but never both. Just in the given place of your physical interpretation "the behavior of a single photon in a beam-splitter" there is a methodological error. This methodological error is mixing of two insulated physical processes in one whole: 1. Process of transiting of electromagnetic radiation through slots of an interferometer. 2. Process of shaping of an interference pattern. Now there is a rather new type of an interferometer - VLBI, in which one this methodological error is demonstrated in the bright and decisive form: The interference picture in VLBI (interferometer) is pure mathematical abstraction, since the construction of an interference pattern is carried out in the computer. In VLBI there is no direct physical process of addition " of waves " passing through slots! Whether you can give physical interpretation of principles of operation for an VLBI (interferometer) from the photon point of view? There are two graphic schemes illustrating the description: Step 1. The microwave interferometer with superlong basis. Part 1. ---------------------------------------------------------- Block scheme. ... [videotape 1] [videotape 2] ... ^ ^ ... | | ... radio-receiver 1 radio-receiver 2 ... | | ... | Length of VLBI basis = Earth diametr | ... |--------------------- {snip} ------------------| ... /^\ antenna 1 antenna 2 /^\ ...^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ {snip} ^ ^ ^ ^ ^ ^ ^ ^ ...| | | | | | | | | | | | | | | | | | | | | | | ... Noise microwave radiation VLBI (interferometer) simultaneously record the information reflecting a state of an electromagnetic field in space of each slot (from the antenna) on a magnetic tape, it is natural that for each slot/antenna we use a separate magnetic tape. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^ Step 2. ... The microwave interferometer with superlong basis. Part 2. ... ---------------------------------------------------------- ... "Interference pattern" ... ^ ... | ... [videotape 1] ------ [ COMPUTER ] ---------- [videotape 2] The VLBI interference is a new kind of an interference - so-called postponed in time or virtual interference, i.e. abstractly or mathematically realizabled interference in the computer. In any time, convenient for us, we input the information from macroscopic magnetic tapes in the computer and mathematically on any required (demanded) algorithm (which can be changed at any time) we obtain an interference in representation, necessary for us. The physical principles of operation of an VLBI (interferometer) enable physically to divide two physical processes: Step 1. Process of transiting of electromagnetic radiation through slots of an interferometer. Step 2. Process of shaping of an interference pattern. Note 1. The interference pattern in VLBI (interferometer) is pure mathematical abstraction, since the construction of an interference pattern is carried out in the computer. Note 2. Here there is no direct physical process of addition " of waves " passing through slots! How does the possibility of addition " of parts of a single photon " from two magnetic tapes? Is it possible? Or is it impossible? What's so hard about that? How do you get ``what should be one photon's worth of light''? Easy: you gather the light from a single atomic transition. There are various ways of doing this (atomic cascades to trigger a shutter, using a parametric downconverter, etc.), but the details don't really matter much---if you get the quantum result, you know that your triggering mechanism succeeded in capturng a single photon. There are some technical details in the analysis, having to do with accidental coincidences when your shutter isn't fast enough, but it only takes a few lines of simple math to show that the quantum result is still drastically different from the classical one. What's so hard about that? Steve Carlip http://groups.google.com/groups?selm...g .google.com But you still cannot describe the photoelectric effect, unless a photon is also a particle (or quanta). I made this proof already many times, but... For example: http://groups.google.com/groups?selm...g .google.com The photon is mathematical abstraction, which in the implicit (latent) form reflects existence of discrete power levels in microsystems and as a corollary a capability of exchange by electromagnetic energy between systems only by discrete Plank's E/M wave portions. ;o) ================================================== ============ The hypothesis " of a phlogiston - photon " is excessive both error from an epistemological and physical point of view. ================================================== ============ How nice. David A. Smith Please David answer quantum "paradox" circumscribed by me. David do not evade. Dest regards Aleksandr |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
David,
What for have we to play Bilge? You see, he came and went away with the same - to normalise his longitudinal photons with respect to energy (if only he is able to do any thing with respect...). We also will not analyse your flights along my questions. As well as, who actually flew from one topic to another and made appearance that nothing of the kind. Let us stop on one item - your awareness in vibration theory; by this we will judge, whether you have grounds for your categorical assertions. To make so, let us copy-and-paste that place from my text which you snipped in order to blur your answer and to blame me that you are not aware in these matters. The snipped text was following: ************** Citation from my previous post: 5) To the point, you are saying, you didn't see my reference to the solutions for mechanical systems. Again strange... Wasn't it you who suggested me to enlighten the newsgroup, how do I yield them? If you forgot, I can simply repeat this place from that my post to you. Citation from my post to David A. Smith of 29.08.2003: [Sergey] Okay. Since you put the question point-blank and state that you know in resonance systems what I don't, and also [David] There is no difficulty in expressing the formulas for resonance. And the behaviour is well known in lots of different types of systems. [Sergey] I will not bother you with complicated systems. Please go to page 42 of our paper "OSCILLATION PATTERN FEATURES IN MISMATCHED FINITE ELECTRIC LADDER FILTERS" http://angelfire.lycos.com/la3/selft...42/load42.html and see formulas (23) - (25). This is the exact analytical solution for a heterogeneous line shown in Fig. 4a in the same page. You can make sure, these solutions are exact. It is sufficient for it to compare the diagrams in Fig. 6, page 44 http://angelfire.lycos.com/la3/selft...44/load44.html plotted with these formulas, with the experimental diagrams in Fig. 10, page 46 http://angelfire.lycos.com/la3/selft...46/load46.html The calculation of this mechanical elastic line is surely simple, takes several pages and a trifle of time. Please do show me, how I made it. This will make me sure that when I begin telling you, I will not see glassy eyes. ;-) Uncitation. Not so long time ago... and the indicated formulas (23) - (25) are the solution namely for mechanical system shown in Fig. 4a, as I said it in the cited piece of post. And there was said about your absent glassy sight, of intentional misunderstanding of questions I ask you. End of citation from my previous post. *************** Thus, I repeat my question: PLEASE DO SHOW ME, HOW I MADE IT. This question concerns my solutions (23)-(25). Before these solutions in page 42 you see the following text: Citation from the referred paper: Take as the mechanical analogue a finite elastic lumped line shown in Fig. 4a, whose last (n + 1)th element has the mass M different from the rest of elements. The exact analytical solutions for this model have the following form: ... Uncitation from the referred paper. Besides, in the above mentioned formulas, dependencies Delta of shifts of related masses are expressed through the masses of elements M and m, stiffness of constraint s, amplitude of affecting force F_0 and frequency omega of the external force affection. You can ask electrical engineers, whether these parameters characterise electric circuits. If these parameters say nothing to you mechanical engineer, - well, I'm just saying, it's senseless to discuss serious topics with you. Is it for bridges or not, only for bridges or not - we will discuss later, when you show your elementary level of knowledge. I also expect that you will specify, where in the cited text I say, this model is supposed to be the analogue for photoelectric effect. At this point I would stop further consideration and wait until you corroborate your ability to discuss at such level. ;-) Until that time, I can return you yours: Good to the end, as always, David. Sergey. \(formerly\)" dlzc1.cox@net wrote in message news:YPqcb.10719$gv5.7812@fed1read05... Dear Sergey Karavashkin: "Sergey Karavashkin" wrote in message om... You are taking the offended pose and accuse me rude and wrong, but is it really so? Top posting is considered rude. You constantly refer to models that are wrong. You are not wrong, but perhaps only mistaken. I many times wrote you of contradictions in photon properties that are the underpinning of theory which you try to defend. But instead lifting these contradictions in my eyes, you every time change the subject of our discussion and accuse me hands-waving. See - even calling me devil again - see: You are not the devil. You do conjure arguments that are not associated with the topic at hand. It will not serve either of us to get swayed from the topic. If you wish to start a new one, then posters that know something about the topic, and are not inured to speaking with you about it can do so. 1) We all know, we receive EM waves "We" do not know this. This is your assertion. sequentially at the receiver and then amplify the signal (far from always - if necessary, we can investigate without amplifying). This is not the matter. The matter is, what the receiver receives! In order the received signal to have the time of coherence about 100 hours for radio waves and fractions of a second for special masers, with your representation of the flow of infinitesimal photons, photons have to be very well ordered. As does DNA. But this seems to occur frequently also. But, as is known, according to Planck's postulate, all the energy is within quantum. But to order photons, you need some additional controlling energy! Or they violate also conservation laws? With your approach, everything is possible. ;-) To order photons, you only need a Universe that maintains an "arrow of time". This is an easy thing. The photons arrive in the order emitted. 2) If your photons are infinitesimal, they would have quite strange fields. Their E-field would be not central but transverse and lie in polarisation plane of dynamic EM field. A half of period this field would be directed to one side, and another half - in opposite direction. Their H-field would be also very strange. I even don't mention that photon density in your model would vary along the field propagation, and in maximums of field strength there has to be bunching of photons (as you know, the energy of photons having the same frequency is similar - it means, the alternating field can be created in this case only and exceptionally by variation of their density). If we take into account that these photons are emitted by a huge number of atoms, the additional field that has to order these photons must be incredibly strong, and it has to propagate with photons. ;-) And this all agrees with experiment. In fact they are using light to do the reverse... manipulate matter based on the magnetic moment the matter has (or can be induced to have). 3) I separated the substantiation of the last statement to this item. You are stating, photons interact with each other in absence of any particles, and particular, of electrons. Only in head-on collisions. There is no evidence that photons are aware of one another otherwise. Presumably gravitation would allow hosts of photons to affect individual members... The fact that in this case you may not use QM, neither QED, nor QFT where the opposite has been proved - this is for your account. You even don't understand: when you so sufficiently and in all aspects change conventional interpretations of the theory which you are trying to defend, you in this way unambiguously admit these theories wrong!!!!! They cannot be wrong based on my testimony. But here is also another aspect. I understand, when you had to admit the infinitesimal size of photons, you have to admit it charged. I did no such thing. I also admitted the photon was the width of the Universe, if you'll recall. But if photons were charged, it will lead to the situation that the light beam will be sharply diverging and no lens can help you to reduce it to a point. This is your fabrication. You fix the apparent problem. Furthermore, as all photons move with the same velocity, a part of photons has to brake the photons following them. I don't follow why you think this "coupling" would be necessary or possible. In this case to postulate the constant velocity for particles would be ignorant, and SR will not help you to substantiate such postulates. In this case, you are talking to your shadow. I have said no such things. This is the wave process where the velocity of propagation of process in homogeneous space is constant - here we haven't such condition connected with the properties of medium. ;-) To arrange photons in the given shape, you cannot make it do without some additional field which would carry all information, as just it will form photon flow. What for are then the very photons? ;-) As I have stated to others, and I had thought I had for you, if the photon is the width of the Universe, the Universe is the medium. 4) Some more about point-sized photons. This is the problem of instantaneous radiation-absorption. You suggest photon point-sized and naturally suppose it carrying the field well less than period. Fine! Please explain me, how does photon carry the information about the light frequency? Frequency is observer dependent. This is not the photon's responsibility. As you know, in one reference frame the light has one frequency, in second - another, in the third - third frequency. Photon is not only point-sized and so it cannot contain the information of frequency, but it cannot transform, since all bodies that move with the light velocity aren't already subject of any transformations. ;-) Light has no mass. Therefore the transforms don't apply. What can change within photon if it doesn't carry any information and cannot transform as GR? I hear, you are again accusing me in ignorance... Also fine! I do not accuse you of ignorance, but of posturing (talking around the point) and obfuscation (hiding your intentions behind misdirection). It means, the detected frequency depends on the velocity with which we receive these flows? Right? ;-) Well, where is the information of frequency - in photon either in the distance between photons? This means, the energy of photons doesn't obey Planck law? ;-) You see, when we change the reference frame, the frequency changes - it means, the energy changes! ;-) See David, where to brings you your insistence to do not see and to accuse all us ignorant. Not "us all", Sergey. Physician, heal thyself. ;-) You have fully violated - rather, smashed the postulates and mathematical tool of QM, QED, QFT - and you want to prove us something? What's the conception on which you rely? That you again speak to all but what is the point. To which papers are you referring? For which of tens of topics that you have raised in an effort to avoid supporting "resonance" as a means of describing the photoelectric effect? Which topic do you need me to produce a paper on? Which mathematical tool do you use? This to what you are trying to refer has been built on other postulates, so even your virtual light particles you may not call photons, as this word means other concept, this concept has other phenomenology for which the tool of QM, QED, QFT has been developed. Your assertions, so far unsupported. 5) Concerning the boundary conditions for light which you don't grasp, despite Aleksandr's multiple explanations. What namely don't you understand? In your conception, light consists of photons whose density varies in space. These photons are permanently emitted by radiator and somewhere absorbed by receiver. Good so far... Of course, you took the full course of resonance systems! Don't you understand that the boundary conditions for a flow are determined by the pattern of source and sink? '-) Actually only for a bonded structure does the distance between source and measured displacement come in. Does the work function vary based on how far apart the source and conductive plate are? Do the electrons get a different remainder KE? The answer to both is "NO". Your argument is invalid. Strange... To the point, you are saying, you didn't see my reference to the solutions for mechanical systems. Again strange... Wasn't it you who suggested me to enlighten the newsgroup, how do I yield them? If you forgot, I can simply repeat this place from that my post to you. Thank you. I saw these as electrical circuits, despite the word "mechanical" embedded therein. http://angelfire.lycos.com/la3/selft...42/load42.html This is the dynamics (essentially) of a bridge, ladder, etc. The photoelectric effect does not seem to care what the bonding structure of the base metal is, nor is there a time delay in release of the photoelectron. This behaviour cannot be expressed by your structure. Your analog is invalid. http://angelfire.lycos.com/la3/selft...44/load44.html Still more bridge stuff... http://angelfire.lycos.com/la3/selft...46/load46.html Mechanical? Good to the end, as always Sergey. David A. Smith |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"George Dishman" wrote in message ...
"Sergey Karavashkin" wrote in message om... The same in your discussion with George Dishman. I don't discuss his position: he is supporter of photon theory, so his task is to negate the wave physics anyway. You misrepresent me Sergey. If I am considering diffraction, interference, refraction or other phenomena I treat EM as waves. If the photon model is more appropriate I will use that. For example if I want to know what I will see if I bounce a laser off the moon, I will divide the pulse energy by hv and calculate the probability of getting different numbers of photons in the light collector. The question is, how do you formulate the phenomenology of vibration process. Opposing your seeing to George's opinion on dominating role of boundary for resonance, ... I don't consider a boundary to have a "dominating role" directly, rather I would point out that resonance requires that some energy be carried forward from one cycle of the oscillatory system to the next otherwise you merely have "forced oscillations". That can be achieved in many ways but it is very unusual for it not to define boundary conditions as well as containing the energy. George Dear George, Perhaps I actually misunderstand you. I'll try to explain in one respond to both your posts. On one hand, you are right indeed confirming elastic line with massive constraints to be linear system. Really, when forced vibrations, the frequency will not be multiplied. Only the resonance peaks will be shifted because of resonance of subsystem in elastic constraints. At the same time, considering free vibrations, in such system not one harmonic but few at once will resonate - just as in an ideal string under free vibrations caused by a pick there is present a broad discrete spectrum of harmonics. All the overtones that create unique sound of instruments are created by string and only amplified by the frame. This all is so. At the same time, the fact that conventional techniques are unable to solve the problems with massive constraints misled very many people and they considered such linear problems as nonlinear - and I said you this. On this background, in another place you are saying, opposing Aleksandr: [George] I say that it is not "indispensable" and that resonance commonly occurs in systems where the power is absorbed by a linear element such as a resistor. [Sergey] Actually, to excite resonance vibrations, nonlinear transformer of energy is not necessary in general case. But the energy absorption by resistance of the system has no relation to resonance phenomena. On the contrary, the increase of resistance of the system strongly decreases resonance peaks. Another thing that at the resonance frequency the impedance of system becomes active (true, only in quite simple circuits). But it doesn't mean that just it absorbs the energy which determines resonance vibrations. Amplitude of resonance vibrations is some balance between the exciting force and dissipative ability of the system. The more conservative is system the more will be vibration amplitude. Again, you are wondering, what is the difference in your and my seeing of a child on the waves. We agree, a child, a boat, water and outer source that excites waves are the elements of some common system in which we consider vibrations in this case. However you separate the resonance phenomenon from vibration system but I don't. To call resonance the independent phenomenon is the same as to try hearing the sound of guitar when it's absent here. If you heard it before, you can imagine this sound, but if your opposite person never heard guitar but knows how banjo sounds, he will associate your attempts to explain how guitar sounds with the sound of banjo. ;-) Any vibration system has very versatile kinds of vibrations which scientists at due time have classified by their features and revelations, but all these kinds are realised only at different conditions and are inseparable from the system in which they arise. We considered the channel and saw how one forms of vibrations transit to another and that there is no difference between vibrations and wave processes. All these are vibrations, and the kind of vibrations can be different. So it is fully ignorant to assert as David does that atom is non-resonant system (the starting point of this discussion on resonance). Atom is quite resonant system, and the fact that Niels Bohr's resonance calculations have fully coincided with the experiment only corroborates this. I can hardly judge what Aleksandr means saying the nonlinear transformer necessary, but the system of atom is not so simple as it seems to you. Bohr couldn't advance above the energetic description of orbits, the Schroedinger equation is also limited by that level of knowledge. But what is the orbital electron excitation by external EM field? Of course, you are right when saying, [George] any change in the energy of an orbiting electron in such a model would be likely to affect the radius of the orbit. But not only. When EM wave excited atom, the wave would be unable to enlarge the electron's orbit, should the system of atom be linear. We have also to account that the size of electron's orbit is determined by its kinetic energy and the frequency of its spin is much higher than that of the affecting force. So per one revolution the external field will vary negligibly. If we consider E-component, this feature will make the electron's orbit swinging! If the swing period coincides with that of external E-field, the amplitude of these swings will grow, will not it? ;-) Should the system of atom be linear, the interaction would be confined to it. But a very important feature superimposes on it. When in some part of trajectory the field removes the electron from nucleus, the returning force will decrease! And when it brings the electron closer to the nucleus, the force grows. And these variations obey the quadratic regularity. Due to it the trajectory of the orbit deforms and the electron gains additional kinetic energy, changing the diameter of orbit. The magnetic component of the external field, if it is perpendicular to the orbital plane, will make the orbit pulsing. Thus, E and H components affect so that if the period of pulses coincides with the period of external field, these pulses will increase. Is this resonance or not? But this is not the resonance which we observe in linear systems. I would add, the field of electron will effectively compensate the external field only in case if these periods are divisible. Here also is superimposed a feature related to the increasing force of atom. In the conventional interpretation this associates with the energy absorption, as the trajectory grows. At the same time, under definite relationship between the periods, we will observe pulsation and swing of the electron's orbit opposite in phase of the external field, and then the electron begins to emit either to reflect the energy. In sum, there are many problems. The main difficulty in the problem under consideration is caused by the quadratic dependence of the field of nucleus which makes the problem nonlinear and very complicated in solving. I showed far from all features of interaction, but none the less, it is not simple problem. David thinks, one can so easy tell it in the newsgroup for so unaware in theory guy as he is, with his insistent unwilling and inability to listen, to analyse and to understand! The task unrealisable even for titans, what to say of us ordinary mortals. ;-) Some time ago I tried to show to Bilge that interference means geometrical addition of E-field vectors... He still remained asserting, if in Bose-Einstein statistics there have been laid the algebraic summation of boson energies, this is so in reality. Concerning the boundary conditions. For the resonance we surely need to localise the energy in space with minimal dissipation. In linear systems it corresponds to finite lines. In circular systems the resonance arises with multiple superposition of periods of waves propagating in the ring. Here we haven't the boundaries in usual meaning. In vibration systems of atoms the resonance arises in case when swing periods of orbits coincide with affecting force periods. There are no boundaries in usual meaning. One cannot guess it, but all these features are reflected in modelling system of equations, if we use not some abstractly generalised template but specific system of differential equations for the specific vibration system. With such approach, ADDITIONAL giving the boundary conditions is excessive. Just in such context I said you about boundary conditions and repeated it multiply in the newsgroups before. Additional boundary conditions only duplicate the features which we have to reflect in the very system of equations. And I can repeat, we can "guess" the boundary conditions only for most simple vibration systems (not for all). For complex systems with mismatched transitions it is simply impossible. It means, we have to be not lazy and to solve the system in the form which describes the specific model. We in our laboratory make so quite successfully and wish you all to do so. ;-) As to the resonance of subsystems. The matter is, factually the resonance subsystems essentially affect the amplitude-frequency characteristic of the main system. If its resonances are located above the critical frequency of the main system, they will appear in the region overcritical for the main system. If its resonances are in the region of main resonances, this leads to essential shift and distortion of the main resonances. If the resonances of subsystem are located below the resonances of the main system, in the amplitude-frequency characteristic there appear the absorption lines. Thus, we can control the resonances of subsystem both theoretically and practically. In my previous post I mentioned one of simplest cases of wave transformer. As far as I know, it matches well enough. ;-) And this is far from being the limit of possible. If the colleagues were thinking of the problems, not of their ambitions, we could do so much and solve many problems. But things are such as they are. ;-) Indeed, I answered not all your questions, and probably now you have even more questions than I lifted. Well, this is natural. Colleagues try to read the book from its end, while it is written from the beginning. Naturally, many things remain for them strange. Though this is their wish. All what I can I try to adopt to the level understandable for them, but it's too hard to squeeze the camel into a needle eye. ;-) Kind regards, Sergey. |
#147
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
"Sergey Karavashkin" wrote in message om... "George Dishman" wrote in message ... "Sergey Karavashkin" wrote in message om... The same in your discussion with George Dishman. I don't discuss his position: he is supporter of photon theory, so his task is to negate the wave physics anyway. You misrepresent me Sergey. If I am considering diffraction, interference, refraction or other phenomena I treat EM as waves. If the photon model is more appropriate I will use that. For example if I want to know what I will see if I bounce a laser off the moon, I will divide the pulse energy by hv and calculate the probability of getting different numbers of photons in the light collector. The question is, how do you formulate the phenomenology of vibration process. Opposing your seeing to George's opinion on dominating role of boundary for resonance, ... I don't consider a boundary to have a "dominating role" directly, rather I would point out that resonance requires that some energy be carried forward from one cycle of the oscillatory system to the next otherwise you merely have "forced oscillations". That can be achieved in many ways but it is very unusual for it not to define boundary conditions as well as containing the energy. George Dear George, Perhaps I actually misunderstand you. I'll try to explain in one respond to both your posts. On one hand, you are right indeed confirming elastic line with massive constraints to be linear system. Really, when forced vibrations, the frequency will not be multiplied. Only the resonance peaks will be shifted because of resonance of subsystem in elastic constraints. At the same time, considering free vibrations, in such system not one harmonic but few at once will resonate - just as in an ideal string under free vibrations caused by a pick there is present a broad discrete spectrum of harmonics. All the overtones that create unique sound of instruments are created by string and only amplified by the frame. This all is so. At the same time, the fact that conventional techniques are unable to solve the problems with massive constraints misled very many people and they considered such linear problems as nonlinear - and I said you this. That's a fairly good summary of what I have said and I agree with it all. On this background, in another place you are saying, opposing Aleksandr: [George] I say that it is not "indispensable" and that resonance commonly occurs in systems where the power is absorbed by a linear element such as a resistor. [Sergey] Actually, to excite resonance vibrations, nonlinear transformer of energy is not necessary in general case. But the energy absorption by resistance of the system has no relation to resonance phenomena. I agree entirely. On the contrary, the increase of resistance of the system strongly decreases resonance peaks. It can also slightly alter the resonant frequency but that is usually a very minor effect. Another thing that at the resonance frequency the impedance of system becomes active (true, only in quite simple circuits). But it doesn't mean that just it absorbs the energy which determines resonance vibrations. Amplitude of resonance vibrations is some balance between the exciting force and dissipative ability of the system. The more conservative is system the more will be vibration amplitude. Yes, for example in an RLC circuit, the amplitude is approximately Q times what the input power would produce if directly connected to the resistor. From conservation, if a fraction 1/Q is lost per cycle, the amplitude will be Q times greater to balance the power lost to dissipation with that obtained from the input. I am sure you also know why this leads to the amplitude approaching the steady-state level exponentially on the sudden application of an input. This is a clear example of the energy stored in the system being accumulated over time from a low-power source. Again, you are wondering, what is the difference in your and my seeing of a child on the waves. We agree, a child, a boat, water and outer source that excites waves are the elements of some common system in which we consider vibrations in this case. However you separate the resonance phenomenon from vibration system but I don't. Not quite. We were discussing Sean's term "wave phenomenon" and I separate the things producing the effect, the water, boat and child, from what is produced by the effect, the pattern of interference and the phenomenon of resonance. To call resonance the independent phenomenon is the same as to try hearing the sound of guitar when it's absent here. If you heard it before, you can imagine this sound, but if your opposite person never heard guitar but knows how banjo sounds, he will associate your attempts to explain how guitar sounds with the sound of banjo. ;-) Any vibration system has very versatile kinds of vibrations which scientists at due time have classified by their features and revelations, but all these kinds are realised only at different conditions and are inseparable from the system in which they arise. We considered the channel and saw how one forms of vibrations transit to another and that there is no difference between vibrations and wave processes. All these are vibrations, and the kind of vibrations can be different. So it is fully ignorant to assert as David does that atom is non-resonant system (the starting point of this discussion on resonance). Atom is quite resonant system, and the fact that Niels Bohr's resonance calculations have fully coincided with the experiment only corroborates this. Yes, I agree, I also pointed that out to Sean. Where I disagreed was when you described the child as a "wave phenomenon" which means that the child is produced by the waves. The child is part of the system that oscillates as a result of the waves but obviously the child would still exist if there were no waves. I can hardly judge what Aleksandr means saying the nonlinear transformer necessary, I believe he was saying that the blackbody spectrum of heat radiated by a resistor is not linear but that, although true, is not the usual criteria for defining a system as non-linear, it is based on the equation that defines the motion. but the system of atom is not so simple as it seems to you. Bohr couldn't advance above the energetic description of orbits, the Schroedinger equation is also limited by that level of knowledge. But what is the orbital electron excitation by external EM field? Of course, you are right when saying, [George] any change in the energy of an orbiting electron in such a model would be likely to affect the radius of the orbit. But not only. When EM wave excited atom, the wave would be unable to enlarge the electron's orbit, should the system of atom be linear. We have also to account that the size of electron's orbit is determined by its kinetic energy and the frequency of its spin is much higher than that of the affecting force. More importantly, you have to take into account that it seems that the parameters can only have discrete values. For a violin string, the wavelength is related to the length between bridge and fret but the amplitude can take any value. That is not the case for the atom, there seems to be no continuously variable parameter that could be gradually increased. This is where I think the idea of resonance as a means to explain the photoelectric effect in the way that Sean seems to be suggesting will prove to be most difficult. So per one revolution the external field will vary negligibly. If we consider E-component, this feature will make the electron's orbit swinging! If the swing period coincides with that of external E-field, the amplitude of these swings will grow, will not it? ;-) Should the system of atom be linear, the interaction would be confined to it. But a very important feature superimposes on it. When in some part of trajectory the field removes the electron from nucleus, the returning force will decrease! And when it brings the electron closer to the nucleus, the force grows. And these variations obey the quadratic regularity. Due to it the trajectory of the orbit deforms and the electron gains additional kinetic energy, changing the diameter of orbit. The magnetic component of the external field, if it is perpendicular to the orbital plane, will make the orbit pulsing. Thus, E and H components affect so that if the period of pulses coincides with the period of external field, these pulses will increase. Is this resonance or not? That depends. If it is resonance, the orbit should be able to gradually change from one energy level to another as it absorbs energy over many cycles. If it is driven from one stable orbit to another immediately, or if the composite is simply a combination of the orbit plus the applied field, then is is not resonance but forced oscillation. But this is not the resonance which we observe in linear systems. I would add, the field of electron will effectively compensate the external field only in case if these periods are divisible. Here also is superimposed a feature related to the increasing force of atom. In the conventional interpretation this associates with the energy absorption, as the trajectory grows. At the same time, under definite relationship between the periods, we will observe pulsation and swing of the electron's orbit opposite in phase of the external field, and then the electron begins to emit either to reflect the energy. In sum, there are many problems. The main difficulty in the problem under consideration is caused by the quadratic dependence of the field of nucleus which makes the problem nonlinear and very complicated in solving. You are correct in all you say there, but I think the greater problem is that we cannot detect any intemediate energy states. You cannot gradually and smoothly increse the energy in the orbit from one level to another, it appears to jump instantly between the levels. I showed far from all features of interaction, but none the less, it is not simple problem. David thinks, one can so easy tell it in the newsgroup for so unaware in theory guy as he is, with his insistent unwilling and inability to listen, to analyse and to understand! The task unrealisable even for titans, what to say of us ordinary mortals. ;-) Some time ago I tried to show to Bilge that interference means geometrical addition of E-field vectors... He still remained asserting, if in Bose-Einstein statistics there have been laid the algebraic summation of boson energies, this is so in reality. Concerning the boundary conditions. For the resonance we surely need to localise the energy in space with minimal dissipation. Yes, that is the point I was trying to convey to Sean. In linear systems it corresponds to finite lines. In circular systems the resonance arises with multiple superposition of periods of waves propagating in the ring. Here we haven't the boundaries in usual meaning. Exactly, it can be cyclical, the signal propagating round the orbit must return to the start point in phase with the original. In vibration systems of atoms the resonance arises in case when swing periods of orbits coincide with affecting force periods. There are no boundaries in usual meaning. Exactly, that is why I said (quoted at the top of this post): I don't consider a boundary to have a "dominating role" directly, rather I would point out that resonance requires that some energy be carried forward from one cycle of the oscillatory system to the next otherwise you merely have "forced oscillations". ... One cannot guess it, but all these features are reflected in modelling system of equations, if we use not some abstractly generalised template but specific system of differential equations for the specific vibration system. With such approach, ADDITIONAL giving the boundary conditions is excessive. Just in such context I said you about boundary conditions and repeated it multiply in the newsgroups before. Additional boundary conditions only duplicate the features which we have to reflect in the very system of equations. And I can repeat, we can "guess" the boundary conditions only for most simple vibration systems (not for all). For complex systems with mismatched transitions it is simply impossible. I know, I am working on a project with such a problem. Luckily it is not a major part of the system and I can use other techniques to get round it but we have to build a simulator and I stated at the beginning this could not be included. It means, we have to be not lazy and to solve the system in the form which describes the specific model. We in our laboratory make so quite successfully and wish you all to do so. ;-) As to the resonance of subsystems. The matter is, factually the resonance subsystems essentially affect the amplitude-frequency characteristic of the main system. If its resonances are located above the critical frequency of the main system, they will appear in the region overcritical for the main system. If its resonances are in the region of main resonances, this leads to essential shift and distortion of the main resonances. If the resonances of subsystem are located below the resonances of the main system, in the amplitude-frequency characteristic there appear the absorption lines. Thus, we can control the resonances of subsystem both theoretically and practically. In my previous post I mentioned one of simplest cases of wave transformer. As far as I know, it matches well enough. ;-) And this is far from being the limit of possible. If the colleagues were thinking of the problems, not of their ambitions, we could do so much and solve many problems. But things are such as they are. ;-) Indeed, I answered not all your questions, and probably now you have even more questions than I lifted. Well, this is natural. Colleagues try to read the book from its end, while it is written from the beginning. Naturally, many things remain for them strange. Though this is their wish. All what I can I try to adopt to the level understandable for them, but it's too hard to squeeze the camel into a needle eye. ;-) In many ways Sergey I think we are entirely in agreement. The few places we have disagreed, I could put down to differences in language, not differences in our physics. best regards George |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear Aleksandr Timofeev:
"Aleksandr Timofeev" wrote in message om... .... How does the possibility of addition " of parts of a single photon " from two magnetic tapes? Is it possible? Or is it impossible? The photon is not captured on the tape. An avalanche of electrons is capured on a tape, and synchronization occurs based on pattern matching. There is no evidence that reveals how many photons were involved in the avalanche at either detector. There is no evidence that it was not two such photons from a single source, and no real argument against it. .... Please David answer quantum "paradox" circumscribed by me. David do not evade. Hope I got the right paradox. Searching through all the text is a bit like an easter egg hunt, with no candy at the end. David A. Smith |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear Sergey Karavashkin:
"Sergey Karavashkin" wrote in message om... David, What for have we to play Bilge? You see, he came and went away with the same - to normalise his longitudinal photons with respect to energy (if only he is able to do any thing with respect...). We also will not analyse your flights along my questions. As well as, who actually flew from one topic to another and made appearance that nothing of the kind. I provided a corrected diagram of a metal structure. A correct analogy (or circuit) will be coupled at 3 and 4 steps, which will destroy resonance. You are dodging the truth. And I spent a lot of time on the diagram. Oh well... Let us stop on one item - your awareness in vibration theory; by this we will judge, whether you have grounds for your categorical assertions. To make so, let us copy-and-paste that place from my text which you snipped in order to blur your answer and to blame me that you are not aware in these matters. You have an incorrect model. You are hiding. .... Thus, I repeat my question: PLEASE DO SHOW ME, HOW I MADE IT. You made it based on a circuit that does show resonance, but does not agree with any known *physical* model of bonding in metals. Find how your model describes reality. Next, do not hide in "quantum mechanics" for they have already accepted that light energy arrives in discrete packets. Therefore, when you go to quantum theory, you must also accept that light arrives in discrete packets. Since you are now evading the facts, I must assume you no longer wish to discuss anything with me. Good luck in your future endeavors. plonk David A. Smith |
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Gravitation and Maxwell's Electrodynamics, BOUNDARY CONDITIONS
Dear George,
Perhaps we have different ways to express our thoughts, but you clearly didn't understand me. No one of us is God, but each of us three knows enough much. I had no intention to prove you that you don't know something - on the contrary, as far as I can see, you know physics well. I would like to say you in my previous posts that Sean also knows much, only you both emphasise different components of vibration process, negating another - and only this makes your controversy. At the same time, among many theories which I have read in the newsgroups, Sean's theory is much more thoughtful and sober. Should only he surmount his pain that he "has not been appreciated" and see in his work the essence to which colleagues try to draw his attention, he could success. Indeed, his model clearly insufficiently describes the interaction between orbital electrons and EM wave, but the idea itself of spontaneously discharging capacitors is beautiful. Of course, not to the case when he tries representing so the nature of matter - here it will not work. But he could find another good application to these thoughts, he should only think attentively. However, I still see Sean following bad experience of other colleagues who in similar situation retired into themselves and stopped working namely at the moment when the very work would begin. Possibly, by this reason they still cannot surmount the barrier of existing dogmata, as are thinking not of hard way to the unknown, not of getting the obstacles over, but of Nobel Prizes. ;-) What can we both prompt them? Everyone chooses his way himself. ;-) Best regards, Sergey. "George Dishman" wrote in message ... "Sergey Karavashkin" wrote in message om... "George Dishman" wrote in message ... "sean" wrote in message om... .. Secondly I thought about it and actually a medium can resonate and standing nodes of maxima CAN occur in our observable world in water or etc in open uncontained systems . This can be done simply by having 2 identical energy sources creating waves and at the point or in the region between the two sources there are standing waves produced | | | A | | | B | | | Above A and B are vibrating sources in an open uncontained medium and the vertical lines denote maxima where overlapping waves create standing waves . This is seen in water tanks etc experiments and shows how classical waves can resonate in an open system and create maxima (in this case bands rather than nodes) [George] Sergey, ask yourself based on Sean's post, does he understand what the word resonance means or is he confusing it with interference. Many aspects are common to both but was he clear about the difference when he posted that? [Sergey] Dear George, In my previous post I described you a model of channel with two screens across it. When we take one screen, in the active part of channel between the source and this screen there form standing waves in full accordance with the interference pattern from two opposing sources. When you put the second screen, there in the channel forms resonance. But again, it forms due to reflection from walls and multiple addition of waves. We have the interference pattern. When we limit the region where the wave propagates and make reflected waves multiply going along the channel, we obtain resonance. So the difference is not so large and dramatic. ;-) Sean's posts suggests he thought all that was necessary was to show there were nodes and he had proved resonance. You are again giving an example that uses waves so it does not help to separate interference and standing waves from resonance. I would agree with your opinion if I read only Sean's posts. But I have read also yours. Meaning no offence, there are no less such inaccuracy. Simply I already have got accustomed that today scientists are so much sure, their knowledge of wave systems is final, that they don't think a least what there really occurs. And when I say what occurs, I see from them nothing except arrogance, offence and unwilling to perceive. The most sad is that I really have accustomed to such reaction. The problem here is that while I have tried to help Sean understand the basic meaning of resonance, you have only clouded the issue with examples of more complex systems. I am not claiming I know everything, but clearly Sean was unclear about what the word "resonance" meant. I hope he now has a better understanding, but if you used you knowledge to explain it to him as well, I am sure it would be more useful than telling me I don't know it all. [Sergey] Why not? You already have got involved. As I see, you have a great experience in electric resonance. Too much like work ;-) I read this group to get away from such concerns. P.S. George, by some reason I cannot find your post of 22 September, so I replied here. Curious, Google doesn't seem to have the message though it is on my news server. I wonder how many others have been lost :-( best regards George |
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