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| Tags: electrtrodynamic, nonlinear, potentials, qed |
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#1
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Dear Friends:
I have added sections 12, 13 and 14 to the Kaluza-Klein paper which I have earlier posted. These sections examine the relationship between the electrodynamics potentials and the gravitational potentials, and connect to QED. Most significantly, these three sections not only connect to the QED Lagrangian, but, they show how the familiar QED Lagrangian density L = -(1/4) F dot F - J dot A emerges *in the linear approximation* of 5-dimensional Kaluza-Klein gravitational theory. Then, we go in the opposite direction, to show the QED Lagrangian density / action for *non-linear* theory, based on the full-blown apparatus of gravitational theory. You may view this at: http://jayryablon.files.wordpress.co...linear-qed.pdf Again, focus on sections 12, 13 and 14. Looking for constructive feedback. Thanks, Jay. ____________________________ Jay R. Yablon Email: co-moderator: sci.physics.foundations Weblog: http://jayryablon.wordpress.com/ Web Site: http://home.nycap.rr.com/jry/FermionMass.htm |
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#2
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On Mar 6, 9:36*am, "Jay R. Yablon" wrote:
Dear Friends: I have added sections 12, 13 and 14 to the Kaluza-Klein paper which I have earlier posted. *These sections examine the relationship between the electrodynamics potentials and the gravitational potentials, and connect to QED. Most significantly, these three sections not only connect to the QED Lagrangian, but, they show how the familiar QED Lagrangian density L = -(1/4) F dot F - J dot A emerges *in the linear approximation* of 5-dimensional Kaluza-Klein gravitational theory. Then, we go in the opposite direction, to show the QED Lagrangian density / action for *non-linear* theory, based on the full-blown apparatus of gravitational theory. *You may view this at: http://jayryablon.files.wordpress.co...linear-qed.pdf Again, focus on sections 12, 13 and 14. Looking for constructive feedback. When taking an axis to be time-like or space-like there are some Coulomb gauge operations in QED that statistically swamp errors separating imaginaries and reals. Note: if you know about complex numbers you will notice that the space part enters as if it were imaginary R2 = (ct)2 + (ix)2 + (iy)2 + (iz)2 = (ct)2 + (ir)2 where i^2 = -1 as usual. This turns out to be the essence of the fabric (or metric) of spacetime geometry - that space enters in with the imaginary factor i relative to time. http://www.nrao.edu/~smyers/courses/...edoflight.html Is there a specific place we can look to see how you preserve or otherwise substitute for that QED mechanism absent any emission or absorbtion phenomena that can be related to gravito-inertial effects? The probablity of a path, is not the path so the notion of geometrical analysis with other than Gauss's curve raises some red flags. Sue... http://en.wikipedia.org/wiki/Path_integral_formulation --Grosche, Christian http://arxiv.org/abs/hep-th/9302097 Thanks, Jay. ____________________________ Jay R. Yablon Email: co-moderator: sci.physics.foundations Weblog:http://jayryablon.wordpress.com/ Web Site:http://home.nycap.rr.com/jry/FermionMass.htm |
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#3
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On Mar 6, 11:03*am, "Sue..." wrote:
Is there a specific place we can look to see how you preserve or otherwise substitute for that QED mechanism absent any emission or absorbtion phenomena that can be related to gravito-inertial effects? If I could follow instructions, I believe you are covering that at 12.12, just as you stated. :-) You may have to dig Feynman up to find if it is valid. )Sue... |
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#4
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"Jay R. Yablon" wrote in message ... Dear Friends: I have added sections 12, 13 and 14 to the Kaluza-Klein paper which I have earlier posted. These sections examine the relationship between the electrodynamics potentials and the gravitational potentials, and connect to QED. Most significantly, these three sections not only connect to the QED Lagrangian, but, they show how the familiar QED Lagrangian density L = -(1/4) F dot F - J dot A emerges *in the linear approximation* of 5-dimensional Kaluza-Klein gravitational theory. Then, we go in the opposite direction, to show the QED Lagrangian density / action for *non-linear* theory, based on the full-blown apparatus of gravitational theory. You may view this at: http://jayryablon.files.wordpress.co...linear-qed.pdf Again, focus on sections 12, 13 and 14. Looking for constructive feedback. Thanks, Jay. ____________________________ Jay R. Yablon Email: co-moderator: sci.physics.foundations Weblog: http://jayryablon.wordpress.com/ Web Site: http://home.nycap.rr.com/jry/FermionMass.htm Nice stuff Jay - keep up the good work and keep the updates coming. Look forward to them. Thanks Bill |
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#5
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Nice stuff Jay - keep up the good work and keep the updates coming. Look forward to them. Thanks Bill Thanks Bill. Unfortunately, I will be away and quite busy on another matter over the coming week, so this is probably the last update for a few weeks. Jay. |
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#6
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"Sue..." wrote in message
... On Mar 6, 11:03 am, "Sue..." wrote: Is there a specific place we can look to see how you preserve or otherwise substitute for that QED mechanism absent any emission or absorbtion phenomena that can be related to gravito-inertial effects? If I could follow instructions, I believe you are covering that at 12.12, just as you stated. :-) Yup! You may have to dig Feynman up to find if it is valid. )Feynman can be anywhere. Three volumes of lectures sitting on my bookshelf to start. Any specific reference you'd point to? Thanks Sue. Jay. Sue... |
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#7
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On Mar 6, 9:15*pm, "Jay R. Yablon" wrote:
"Sue..." wrote in message ... On Mar 6, 11:03 am, "Sue..." wrote: Is there a specific place we can look to see how you preserve or otherwise substitute for that QED mechanism absent any emission or absorbtion phenomena that can be related to gravito-inertial effects? If I could follow instructions, I believe you are covering that at 12.12, just as you stated. :-) Yup! You may have to dig Feynman up to find if it is valid. )Feynman can be anywhere. *Three volumes of lectures sitting on my bookshelf to start. *Any specific reference you'd point to? I believe it is a Wick rotation that permits many Lorenz gauge paths to be integrated yielding a Coulomb gauge probabilty amplitude. There may be enough discussion here to see if you left piece out. You'll have to be your own harshest critic because I can't read those squiggles that well. )--Siegel http://arxiv.org/abs/hep-th/9912205 http://en.wikipedia.org/wiki/Wick_rotation Sue... Thanks Sue. Jay. |
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