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Electrtrodynamic Potentials and Non-Linear QED



 
 
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  #1  
Old March 6th 08 posted to sci.physics.relativity
Jay R. Yablon
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Posts: 645
Default Electrtrodynamic Potentials and Non-Linear QED

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  
Old March 6th 08 posted to sci.physics.relativity
Sue...
external usenet poster
 
Posts: 8,441
Default Electrtrodynamic Potentials and Non-Linear QED

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


  #3  
Old March 6th 08 posted to sci.physics.relativity
Sue...
external usenet poster
 
Posts: 8,441
Default Electrtrodynamic Potentials and Non-Linear QED

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...

  #4  
Old March 6th 08 posted to sci.physics.relativity
Bill Hobba
external usenet poster
 
Posts: 4,196
Default Electrtrodynamic Potentials and Non-Linear QED


"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


  #5  
Old March 6th 08 posted to sci.physics.relativity
Jay R. Yablon
external usenet poster
 
Posts: 645
Default Electrtrodynamic Potentials and Non-Linear QED


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.


  #6  
Old March 7th 08 posted to sci.physics.relativity
Jay R. Yablon
external usenet poster
 
Posts: 645
Default Electrtrodynamic Potentials and Non-Linear QED

"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...



  #7  
Old March 7th 08 posted to sci.physics.relativity
Sue...
external usenet poster
 
Posts: 8,441
Default Electrtrodynamic Potentials and Non-Linear QED

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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