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MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!
By : Ove Tedenstig
Idungatan 37, 19 551 M{rsta Sweden MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD The nucleus of James Clerk Maxwell's electromagnetic theory from 1867 consist of a set of formulae which describe the behavior of electric and magnetic field proparation. The theory was from the beginning an "aether" or mechanical theory, but this interpretation of electromagnetism later on was denyed. Today only a barren shell of mathemaical formalism reaminds which not say much of cause and source of electromagnetism. The scientific value of these formulae therefore may be put into question since they seem to have be overestimated in importance. However, the most famous a (44a) ========================== __ _ !/ E = 0 The electric field at free radiation from ap point source (44b) ========================== __ _ !/ B = 0 The magnetic field at free (44c) ========================== __ _ _ !/ E = D B/Dt ( D is the partial derivative) (44d) ========================== __ _ 2 _ !/ B = (1/c ).D E/ Dt DERIVING THE FORMULAE Because of limit of space, 44a and 44b are not derived here. However, it is a relatively easy task to get these results, which are achived by deriving the field strength out from an electric or magnetic point source in respect to its coordinates, x,y and z. Therefore, we concentrate ourselves only on the two remaining formulae, which mainly are got by vectorially manipulating the base equation (30). (44c) is achived by taking the time derivative of this equation, the (44d) is got by taking the space derivative of it. (45) ================================ _ _ _ E x v B = 2 (from 30) c _ _ _ E x v DB/Dt = D/Dt ( 2 ) = c __ _ 2 _ _ 2 2 __ _ !/ v/ c.(E x v ) = v /c .( !/ x E ) __ _ For v=c DB/Dt =  !/ X E (46) ================================================== = __ _ __ _ _ 2 !/ x B = !/ x ( E x v/c ) __ _ _ __ _ _ __ _ _ __ _ !/ x B = DE/Dt  v( !/.E )  (E. !/).v + E( !/.v ) !/ !/ Result Will be zero for a non accelerating according to point source Maxwell __ _ _ !/ x B = DE/Dt The result in accord with Maxwell valid for a non accelerating point source ================================================== ======== LIGHT AND ELECTROMAGNETIC WAVES Beside these famous equations treated above, historically Macwell is famous for predicting electromagnetic fields propagating in in the same way as light in free space. The conclusions were made on basis of comparing results from the general wave equation based on how sound in air or mechanical waves were propagating in a medium, air and water for instance. But the modern physics do not confess any existence of a light bearing aether, and the contradictionary problem in Maxwell's theories therefore still remain. Vectorial manipulations are performed on results from (45) and (47) as shown in below. (48) ================================================ __ _ _ !/ x E = DB/Dt (from 45) __ _ 2 _ !/ x B = 1/c . D/Dt .E (from 47) __ __ _ __2 _ __ __ _ __2 _ !/ x ( !/ x E ) ?  !/ E + !/( !/ E ) =  !/ E __ _ ( !/ E is equal to zero for a point source ) __ __ _ __ _ __ _ !/ x ( !/ x E ) =  !/(DB/Dt) =  D/Dt( !/ x B ) = 2 _ 2 2 2 _ D/Dt(1/c.D/Dt.E ) = 1/c .D /Dt .E __ _ 2 2 2 _  !/ E = 1/c . D /Dt .E (49) ================================================== === __ _ _ !/ x E = DB/Dt (from 45) __ _ 2 _ !/ x B = 1/c .D/Dt.E (from 47) __ __ _ __2 _ __ __ _ __2 _ !/x( !/ x B ) =  !/ B + !/( !/ B ) =  !/ B __ _ ( !/ B is zero for a point source = __ __ _ __ 2 _ !/ x ( !/ x B ) = !/( 1/c. D/Dt.E ) = 2 __ _ 2 2 2 _ 1/c .D/Dt( !/ x E ) = 1/c . D /Dt .B __2 _ 2 2 2 _  !/ B = 1/c . D /Dt .B ================================================== ===== The general wave equation is written : (50) ============================= __2 2 2 2 !/ Y = 1/v . D /Dt . Y ================================== The mathematical structure of (48),(49) and (50) is the same and it was this mathematical equivalency which gave Maxwell the idea of light being a medium carried wave. Since then many experiments have been perfomed by light, clearly showing that no active light aether do exist. Only the mathematical equivalency reamin intact. 
#2




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
NILS BÖRJESSON wrote:
Since then many experiments have been perfomed by light, clearly showing that no active light aether do exist. Many experiments have proved that empty space is not empty. "A rose by any other name ..."  73, Cecil http://www.w5dxp.com 
#3




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
On Sun, 10 Sep 2006 10:54:20 +0000, Cecil Moore wrote:
NILS BÖRJESSON wrote: [quoted text muted] Many experiments have proved that empty space is not empty. "A rose by any other name ..." Did your radios stop working? ;) 
#4




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
Barnard Peters wrote:
Cecil Moore wrote: Many experiments have proved that empty space is not empty. "A rose by any other name ..." Did your radios stop working? ;) They *would* stop working if empty space were really empty. Call it what you will, "aether" or something else. Radio waves cannot propagate through absolute nothing. There really *is* something there. The assumptions about the characteristics of aether were wrong but that doesn't mean it doesn't exist.  73, Cecil http://www.w5dxp.com 
#5




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
Cecil Moore wrote:
Barnard Peters wrote: Cecil Moore wrote: Many experiments have proved that empty space is not empty. "A rose by any other name ..." Did your radios stop working? ;) They *would* stop working if empty space were really empty. Call it what you will, "aether" or something else. Radio waves cannot propagate through absolute nothing. There really *is* something there. The assumptions about the characteristics of aether were wrong but that doesn't mean it doesn't exist. Cecil, when I first started reading this group, I gained a lot of respect for you. As time went by, I even tried to justify some of your arguments and adopt them as my own. Some were successful, some were not. As more time went by, I lost a lot of the respect I had for you. I think it was because I became more educated. Now you make the statement above. Dammit! Have you not heard of the MichelsonMorley experiment? Does it mean nothing to you? Bye. John 
#6




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
On Sun, 10 Sep 2006 22:48:06 GMT, John  KD5YI
wrote: Now you make the statement above. Dammit! Have you not heard of the MichelsonMorley experiment? Does it mean nothing to you? Hi John, In those same years of declining respect, you should have noticed that indignation counts for no more than logic nor historical precedent. Dark matter (and Dark energy) is something I've been on about here for a number of years, and the scientific community estimates it constitutes a significant portion to the bulk of the Universe  I don't recall their last guess (it is variable, certainly), but it verges on 60%  80%. However, its presence says nothing about wave mechanics and can only come to bear on the familiar terms of permittivity and permeability which light (and RF) happily coexists with. If Dark matter did interfere such that it offered an Æther, it would, of course conform to your and our understanding of MichelsonMorley that it must offset the speed. That, or it is always neutral. Now, Dark matter being neutral necessarily invalidates its state of being an Æther. Cap'n Jack "Helmsman, why aren't we making progress?" Davy Jonz "No wind skipper" Cap'n Jack "Nonsense, 80% of atmosphere is air!" Davy Jonz "Beggin' your pardon, skipper, but It wouldn't seem to be the 80% that is behind our sails, sir." Cap'n Jack "The cat of talltales against your back for such bilge, sailor. Your assumptions about the characteristics of wind are wrong but that doesn't mean it doesn't exist and we should be moving!" 73's Richard Clark, KB7QHC 
#7




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
John  KD5YI wrote:
Now you make the statement above. Dammit! Have you not heard of the MichelsonMorley experiment? Does it mean nothing to you? MichelsonMorley didn't know about relativity and quantum mechanics. Things have changed. Space is NOT empty. Mass has been created from empty space. Particles have been detected winking in and out of existence in empty space. Methinks you have fallen into the trap of thinking that man has discovered all the knowledge there is to be discovered. Almost everything you think you know as true will be proved false in the next 1000 years.  73, Cecil http://www.w5dxp.com 
#8




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
Richard Clark wrote:
On Sun, 10 Sep 2006 22:48:06 GMT, John  KD5YI wrote: Now you make the statement above. Dammit! Have you not heard of the MichelsonMorley experiment? Does it mean nothing to you? Hi John, In those same years of declining respect, you should have noticed that indignation counts for no more than logic nor historical precedent. Dark matter (and Dark energy) is something I've been on about here for a number of years, and the scientific community estimates it constitutes a significant portion to the bulk of the Universe  I don't recall their last guess (it is variable, certainly), but it verges on 60%  80%. However, its presence says nothing about wave mechanics and can only come to bear on the familiar terms of permittivity and permeability which light (and RF) happily coexists with. If Dark matter did interfere such that it offered an Æther, it would, of course conform to your and our understanding of MichelsonMorley that it must offset the speed. That, or it is always neutral. Now, Dark matter being neutral necessarily invalidates its state of being an Æther. Cap'n Jack "Helmsman, why aren't we making progress?" Davy Jonz "No wind skipper" Cap'n Jack "Nonsense, 80% of atmosphere is air!" Davy Jonz "Beggin' your pardon, skipper, but It wouldn't seem to be the 80% that is behind our sails, sir." Cap'n Jack "The cat of talltales against your back for such bilge, sailor. Your assumptions about the characteristics of wind are wrong but that doesn't mean it doesn't exist and we should be moving!" 73's Richard Clark, KB7QHC Hi, Richard  Did you say something relevant? 73, John 
#9




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
Cecil Moore wrote:
Almost everything you think you know as true will be proved false in the next 1000 years. Especially if you're Howard Dean. :) de AC6XG 
#10




MAXWELL's EQUATIONS OF THE ELECTROMAGNETIC FIELD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!
John  KD5YI wrote:
Richard Clark wrote: On Sun, 10 Sep 2006 22:48:06 GMT, John  KD5YI wrote: Now you make the statement above. Dammit! Have you not heard of the MichelsonMorley experiment? Does it mean nothing to you? Hi John, In those same years of declining respect, you should have noticed that indignation counts for no more than logic nor historical precedent. Dark matter (and Dark energy) is something I've been on about here for a number of years, and the scientific community estimates it constitutes a significant portion to the bulk of the Universe  I don't recall their last guess (it is variable, certainly), but it verges on 60%  80%. However, its presence says nothing about wave mechanics and can only come to bear on the familiar terms of permittivity and permeability which light (and RF) happily coexists with. If Dark matter did interfere such that it offered an Æther, it would, of course conform to your and our understanding of MichelsonMorley that it must offset the speed. That, or it is always neutral. Now, Dark matter being neutral necessarily invalidates its state of being an Æther. Cap'n Jack "Helmsman, why aren't we making progress?" Davy Jonz "No wind skipper" Cap'n Jack "Nonsense, 80% of atmosphere is air!" Davy Jonz "Beggin' your pardon, skipper, but It wouldn't seem to be the 80% that is behind our sails, sir." Cap'n Jack "The cat of talltales against your back for such bilge, sailor. Your assumptions about the characteristics of wind are wrong but that doesn't mean it doesn't exist and we should be moving!" 73's Richard Clark, KB7QHC Hi, Richard  Did you say something relevant? 73, John Relatively speaking, I think he did. 
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