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"Henri Wilson" HW@.... wrote in message
... On Sat, 19 May 2007 09:45:56 +0100, "George Dishman" wrote: "Henri Wilson" HW@.... wrote in message . .. On Fri, 18 May 2007 15:16:55 +0100, "George Dishman" wrote: The equations _are_ the theory. The analogies are just inaccurate handwaving. George, the truth is you, like other relativists simply don't have the ability to appreciate analogies like this one. The truth Henry, is really quite pragmatic, is simply can't type "partially-springy photons" into a piece of software and expect it to show me a graph of the Doppler shift for a binary system. That requires an equation. Nor can you tell me what the shift will be by guessing until you too have an equation to apply. The mechanical picture may give you a feel for the situation but until you take the next step, it isn't usable. I gave you the equation. Are you wasting time again? You gave a separate trivial equation that doesn't relate to the other two and conflicts with them. You need to revise the _set_ of equations to be consistent. Whilst I accept that mechanical models must have limitations, I also realise that for a particle to be 'different from nothing' it must have properties ... Sure, but it's all just talk until you can write down the equations that represent those properties and the mechanics that describes their interactions. It may take a little time George. No problem, I'll wait but in the meantime all I can do is use the current versions. As I say, it is simply pragmatic. ... that are describable in 3space, 1 time, the conditions under which all our experiments are carried out. Not true, there is no a priori reason why the universe should be 3D + time and if you insist on that religious conviction you force yourself into an aether theory. There are three time subdimensions. Time couldn't flow if there weren't. Time is not related to space. Your religiuos convictions are already well known, but that doesn't mean they have an validity. George, Fourier analysis doesn't apply to particles or even damped systems like the one I have idescribed for photons. Fourier analysis applies to _any_ repetitive phenomenon, you should know that if you have used them. Damping merely adds a time dependence to the coefficients. Well you don't have to bother with it to understand my model. I don't have to, but I choose to because it provides an important tool for the analysis. The behaviour of RF signals is well known and the application of Fourier analysis tells you a huge amount. You theory (the equations that is) must work if I use Fourier analysis. In a partical sense, note that a grating is just a physical implementation of Fourier, if I send a waveform of complex shape as a single beam (say a modulated CW laser) at a grating, a plot of intensity versus angle is the same as a Fourier analysis with a mapping of component frequency to angle. The equations you are both using are wrong. They do not describe partially-springy photons, so they do not describe Henry's theory. The equations _are_ the theory, "springy photons" is "hand-waving" or "speculation". Speculation that works....that's a good start.... It doesn't work at all. You'll find that out when you try to work out the equations. I'm merely reporting the findings. Variations regarding Pulsars and short period binaries are largely VDoppler related, variable star curves are brought about mainly by ADoppler. But the latter isn't a finding. What you say of pulsars and eclipsing binaries is true because the eclipse or Shapiro delay provides a phase against which the velocity and luminosity variations can be compared. You have no such reference for a Cepheid so the "orbital" phase is unknown. The phase relatoinship between velocity and brightness can vary depending on the relative contributions of A and V doppler. No, that's where Fourier comes in. The phase of the luminosity and velocity curves must always be identical, both being produced by TDoppler as we have gone over many times before. Actually there is an added complexity we have been ignoring, the ballistic change of energy per photon which might have a very small extra effect on phase but I haven't given that any consideration yet. dv/ds = (c/n-v) / R where v is the scalar speed (magnitude of the velocity), s is the distance travelled measured along the path, n is the refractive index and R is an arbitrary constant with units of length since we cannot determine the slope of the first order relationship theoretically. This is not exactly what I claim George. Well it's about time you raised this then, we have been using it for weeks. You haven't given a reference for speed in your equation. I've said it so many times, I took it for granted you would know. Ballistic theory is Galilean invariant so the first equation applies in _any_ inertial frame. The velocity of the source in that frame is v_s. For that purpose you can use either the source barycentre or the observer. I think you are still getting this confused by thinking of "frame of reference" as being something physical. It is _purely_ the coordinate system we have chosen so can be any inertial reference at all. Don't be ridiculous, George. I have several time pointed out you were using the phrase "frame of reference" incorrectly and while it was possibly academic before, now it is coming back to bite you. Ritzian theory uses Galilean relativity and choice of reference frame is entirely arbitrary. If you choose a different frame, you get different values for v_s and v_i but the relationship v_i = c + v_s at the moment of emission holds good in all frames. I say that light emitted in a particular direction at speeds between c+v and c-v wrt the source barycentre (or c(+/-)v+u wrt the observer) will tend towards a common speed as it travels. That speed is not necessarily c wrt the barycentre...and it will continually fluctuate minutely as the light passes through different spaceconditions. Relative to an Earth observer it will be c+(?) until it approaches ground level, where it is c/n. How do you think that differs from the equations I wrote? You see again you are just talking without offering any physics. If my equations are not your theory, tell me the correct ones. If you can't do that I have no alternative but to use what you see above to write the software. I have just providied a perfectly good physical picture. What more do you want George? I will ask again: How do you think that differs from the equations I wrote? What you and I have been trying to establish is the rate at which unification occurs. That would be the factor R in the above equations. Change the equations and the factor may appear in some different way and certainly could have a different value. Until you define the equations that constitute your theory, you have no way forward. R wont be constant. This is a statistical effect. Agreed, it is dependent on the material in any region just as refractive index will vary. For some reason it appears to be related to the period of oscillation ..or to the sizes and closeness of the two members of a binary. Nope, it is a property of the ISM. Each charged particle would have an effect on the wave dependent only on the particle type (and photon frequency of course, I mean all electrons would have a similar influence but that might differ from protons). Particle column density would be the controlling parameter. Probably....but the point is, the effect definitely appears to be stronger around some objects than others. Can you explain that? I don't need to, you do. That said, it is obvious that some stars shed mass in the 'stellar wind' at higher rates than others. You only have to look at Eta Carinae! The problem you will have doesn't lie in the variability but will be in explaining why there isn't a simple relationship between refractive index and speed equalisation, and why the properties of space depend on orbital acceleration. Prior to my addition, Henry's theory was "c+v", that's all. I have done some work for him in adding the speculation about speed equalisation into the theory as a second equation. He has not really commented on that proposal but it seems to me to be directly derivable from his verbal claims ("hand-waving"). .....Handwaving that just happens to fit the data..... It is impossible to say whather it fits or not until you turn it into a theory and then apply those equations to the experimental situation (observations). I have given that process some thought and it is clear you will hit a major problem very quickly but it's not easy to explain so I'll wait for you to find it yourself. I can't see any major problem .... Jut a statement of fact, you cannot know whether an equation will fit the data until you find out what the equation is. The equations above are not a "compromise" in any way other than being limited to the speed of light along a path. Obviously I'm not offering a Ritzian version of Maxwell's Equations. They fully represent what Henry has said of c+v for the launch and his speed equalisation. Now Jeff, if you want to offer a set of equations that represents "partially-springy photons" that you think can model what we know of EM then by all means post them, but I think it can't be done and I'll give you some simple example waveforms to which you can apply your equations to see what you get. My photons are more 'critically damped' than 'partially springy'. Both mean negligible VDoppler, trivially falsified, but there is a bigger problem before you even get to that step. Bottom line Henry, is that the two equations I wrote above are the only theory we have, and until you offer some alternative those are all we have to use in writing the software models. George, velocity curves of contact binaries obey VDoppler. Those of longer period variables like cepheids obey ADoppler. The BaTh equations say both VDoppler and ADoppler combine to produce TDoppler which affects both velocity and luminosity with the same phase. You have no theory to predict anything else, just hand-waving that I can see won't work when you try to convert it into a theory. Where in YOUR equations are such differences accounted for? In the thermodynamics of Cepheids and related star type in the unstable region, see the overview I cited before. George |
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