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| Tags: electromagnetic, equations, field, generalization, maxwells |
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#1
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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 Maxwell's equations are superseded by the (non-linear) field equations that define the Yang-Mills field (that is, the electroweak field) that the electromagnetic field is part of.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 i.e., the electroweak field equations that Maxwell's equations have been superseded by DO have non-zero magnetic sources.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
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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? |
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"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 |
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#5
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Igor wrote:
wrote: [sic] Nobody ever said that monopoles were not allowed. Of course, Maxwell's equations did say so. It's just that once you add monopoles, the equations stop being called Maxwell's, The equations already stopped being Maxwell's equations as soon as they became the Maxwell-Yang-Mills equations of GSW, which have monopoles. |
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