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GENERALIZATION OF MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!



 
 
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  #1  
Old March 22nd 06 posted to sci.astro,sci.physics
markwh04@yahoo.com
external usenet poster
 
Posts: 526
Default GENERALIZATION OF MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!

NILS BÖRJESSON wrote:
G.M.E. CONTAIN EIGHT VECTORS IN ALL POINTS!!!!!!!!!!!!!!!!!!:

....
B,H,D and E ARE THE SAME AS IN COMMON THEORY:!!!!!!!!!!!!!!!!!!!!!!!!
BUT AH, KUK, ÖL and FAT IS NEW!!!!!!!!!!!!!!!!!!!!!!!!!!!


4 of your equations are just proportionalities, so you only have 4
fields -- namely, the original for (B, E, D, H). Up to a rescaling of
the magnetic charge, your equations are just:

div D = rho; curl H - dD/dt = J
div B = sigma; curl B + dE/dt = -K

where (sigma, K) are the charge and current density for magnetic
sources. The corresponding force law is

F = e (E + v x B) + p (H - v x D)
with power law
P = e (v.E) + p (v.H)
where p is the magnetic charge.

All of this was implicit in Maxwell's treatise (even the -v x D term
appeared in a footnote); it is not new, and (in fact) I posted those
equations several months ago.

Oh, and one of your constants is wrong (inconsistent on dimensional
grounds): you have it in the wrong place, numerator or denominator, in
your monopole force law.

Igor wrote:
Maxwell's equations with magnetic monopoles has already been done to
death. Nothing new here at all.


Maxwell's equations are superseded by the (non-linear) field equations
that define the Yang-Mills field (that is, the electroweak field) that
the electromagnetic field is part of.
Because there is a non-zero mixing angle between the electromagnetic
field and the SU(2) part of the weak nuclear force, then there are
indeed non-zero terms, constructed purely from the fields, on the right
hand sides of BOTH sets of equations.

The fields associated with the W and anti-W contribute electric and
magnetic source terms to both of the (modified) Maxwell equations.

i.e., the electroweak field equations that Maxwell's equations have
been superseded by DO have non-zero magnetic sources. In fact, they
have non-trivial magnetic monopole solutions, with the monopoles built
purely out of the field and self-sustaining and stable in virtue of the
non-linearity of the field equations.

So, the old saw that monopoles are theoretically disallowed is out the
window, since the theory, itself, has been supersded by GSW's
electroweak theory. Magnetic monopoles are thus allowed for by the
theory and may very well exist.

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  #2  
Old March 22nd 06 posted to sci.physics
Jim Black
external usenet poster
 
Posts: 493
Default Magnetic monopoles in electroweak theory (Was: GENERALIZATION OF MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!)


wrote in message
ups.com...
Igor wrote:
Maxwell's equations with magnetic monopoles has already been done
to
death. Nothing new here at all.


Maxwell's equations are superseded by the (non-linear) field
equations
that define the Yang-Mills field (that is, the electroweak field)
that
the electromagnetic field is part of.
Because there is a non-zero mixing angle between the electromagnetic
field and the SU(2) part of the weak nuclear force, then there are
indeed non-zero terms, constructed purely from the fields, on the
right
hand sides of BOTH sets of equations.

The fields associated with the W and anti-W contribute electric and
magnetic source terms to both of the (modified) Maxwell equations.

i.e., the electroweak field equations that Maxwell's equations have
been superseded by DO have non-zero magnetic sources. In fact, they
have non-trivial magnetic monopole solutions, with the monopoles
built
purely out of the field and self-sustaining and stable in virtue of
the
non-linearity of the field equations.

So, the old saw that monopoles are theoretically disallowed is out
the
window, since the theory, itself, has been supersded by GSW's
electroweak theory. Magnetic monopoles are thus allowed for by the
theory and may very well exist.


Interesting. Do you know of some good references that explain these
field equations, and their monopole solutions? Can the monopoles be
created, or do they have to be there to begin with?


  #3  
Old March 22nd 06 posted to sci.physics
FrediFizzx
external usenet poster
 
Posts: 5,410
Default Magnetic monopoles in electroweak theory (Was: GENERALIZATION OF MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!)

"Jim Black" wrote in message
...
|
| wrote in message
| ups.com...
| Igor wrote:
| Maxwell's equations with magnetic monopoles has already been done
| to
| death. Nothing new here at all.
|
| Maxwell's equations are superseded by the (non-linear) field
| equations
| that define the Yang-Mills field (that is, the electroweak field)
| that
| the electromagnetic field is part of.
| Because there is a non-zero mixing angle between the electromagnetic
| field and the SU(2) part of the weak nuclear force, then there are
| indeed non-zero terms, constructed purely from the fields, on the
| right
| hand sides of BOTH sets of equations.
|
| The fields associated with the W and anti-W contribute electric and
| magnetic source terms to both of the (modified) Maxwell equations.
|
| i.e., the electroweak field equations that Maxwell's equations have
| been superseded by DO have non-zero magnetic sources. In fact, they
| have non-trivial magnetic monopole solutions, with the monopoles
| built
| purely out of the field and self-sustaining and stable in virtue of
| the
| non-linearity of the field equations.
|
| So, the old saw that monopoles are theoretically disallowed is out
| the
| window, since the theory, itself, has been supersded by GSW's
| electroweak theory. Magnetic monopoles are thus allowed for by the
| theory and may very well exist.
|
| Interesting. Do you know of some good references that explain these
| field equations, and their monopole solutions? Can the monopoles be
| created, or do they have to be there to begin with?

Jay Yablon has done some extensive work on this subject that can get you
started.

http://www.arxiv.org/abs/hep-ph/0508257
http://www.arxiv.org/abs/hep-ph/0509223
Jay's website
http://home.nycap.rr.com/jry/FermionMass.htm

IMHO, mag monopoles might be represented by mini quantum black holes.
LHC might be able to see the signature of them if theories about extra
dimensions are correct.

FrediFizzx
http://www.vacuum-physics.com

  #4  
Old March 22nd 06 posted to sci.astro,sci.physics
Igor
external usenet poster
 
Posts: 3,868
Default GENERALIZATION OF MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!


wrote:
NILS BÖRJESSON wrote:
G.M.E. CONTAIN EIGHT VECTORS IN ALL POINTS!!!!!!!!!!!!!!!!!!:

...
B,H,D and E ARE THE SAME AS IN COMMON THEORY:!!!!!!!!!!!!!!!!!!!!!!!!
BUT AH, KUK, ÖL and FAT IS NEW!!!!!!!!!!!!!!!!!!!!!!!!!!!


4 of your equations are just proportionalities, so you only have 4
fields -- namely, the original for (B, E, D, H). Up to a rescaling of
the magnetic charge, your equations are just:

div D = rho; curl H - dD/dt = J
div B = sigma; curl B + dE/dt = -K

where (sigma, K) are the charge and current density for magnetic
sources. The corresponding force law is

F = e (E + v x B) + p (H - v x D)
with power law
P = e (v.E) + p (v.H)
where p is the magnetic charge.

All of this was implicit in Maxwell's treatise (even the -v x D term
appeared in a footnote); it is not new, and (in fact) I posted those
equations several months ago.

Oh, and one of your constants is wrong (inconsistent on dimensional
grounds): you have it in the wrong place, numerator or denominator, in
your monopole force law.

Igor wrote:
Maxwell's equations with magnetic monopoles has already been done to
death. Nothing new here at all.


Maxwell's equations are superseded by the (non-linear) field equations
that define the Yang-Mills field (that is, the electroweak field) that
the electromagnetic field is part of.
Because there is a non-zero mixing angle between the electromagnetic
field and the SU(2) part of the weak nuclear force, then there are
indeed non-zero terms, constructed purely from the fields, on the right
hand sides of BOTH sets of equations.

The fields associated with the W and anti-W contribute electric and
magnetic source terms to both of the (modified) Maxwell equations.

i.e., the electroweak field equations that Maxwell's equations have
been superseded by DO have non-zero magnetic sources. In fact, they
have non-trivial magnetic monopole solutions, with the monopoles built
purely out of the field and self-sustaining and stable in virtue of the
non-linearity of the field equations.

So, the old saw that monopoles are theoretically disallowed is out the
window, since the theory, itself, has been supersded by GSW's
electroweak theory. Magnetic monopoles are thus allowed for by the
theory and may very well exist.


Nobody ever said that monopoles were not allowed. It's just that once
you add monopoles, the equations stop being called Maxwell's, just as
is the case when you have massive gauge photons.

 




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