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Topic:
experiment: making the 10 Maxwell Equations symmetrical #01 Advancedtext 8th ed.: TRUE CALCULUS
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3
Last Post:
Oct 22, 2013 1:44 AM




experiment: making the 10 Maxwell Equations symmetrical #01 Advancedtext 8th ed.: TRUE CALCULUS
Posted:
Oct 21, 2013 2:09 PM


From my other book I take this topic: Negative signs in Gauss law make Faraday law symmetrical?; PostComment #1998 of 5th ed
I am going to start the first page of the Advanced text
In this book of True Calculus, I have a advancedtext section which will discuss the Maxwell Equations.
Here I am trying to make them symmetrical.
So if I have my negative signs placed correctly, I will have made the 8 original Maxwell Equations of 1861 into 10 equations for which they are fully symmetrical. I accomplish this with magnetic monopoles and where electric charge has like repel and unlike attract, while monopoles are attract only, regardless of like or unlike.
So, using this website I am going to try to fill in the extra 2 equations that Maxwell missed:
 quoting from  http://faculty.uml.edu/cbaird/95.657(2013)/Maxwell_Uniqueness.pdf
Maxwell's equations in component form
?Ex ?x+ ?Ey ?y+ ?Ez ?z = ? ?0
?Bx ?x+ ?By ?y+ ?Bz ?z = r ?0 (note this is my modification of including magnetic monopoles, and not the original author cbaird of the website)
?Ez ?y? ?Ey ?z =? ?Bx ?t
?Bz ?y? ?By ?z =?0Jx+?0?0 ?Ex ?t
?Ex ?z ? ?Ez ?x=? ?By ?t
?Bx ?z ? ?Bz ?x=?0Jy+?0?0 ?Ey ?t
?Ey ?x? ?Ex ?y=? ?Bz ?t
?By ?x? ?Bx ?y=?0Jz+?0?0 ?Ez ?t
 end quote 
The two equations that Maxwell missed are these two:
?Ex ?x+ ?Ey ?y+ ?Ez ?z =  ? ?0
?Bx ?x ?By ?y ?Bz ?z =  r ?0
Now I need mathematicians to verify that those make the 10 Maxwell Equations fully symmetrical.  Drexel's Math Forum has done an excellent search engine for author posts as seen here: http://mathforum.org/kb/profile.jspa?userID=499986
Now, the only decent search for AP posts on Google, is a author search which eliminates hate spam:
author:plutonium.archimedes@gmail.com
All the other types of Google searches of AP are just top heavy in hatespam posts due to search engine bombing practices.
Archimedes Plutonium



