Date: Oct 21, 2013 2:09 PM
Author: plutonium.archimedes@gmail.com
Subject: experiment: making the 10 Maxwell Equations symmetrical #01<br> Advanced-text 8th ed.: TRUE CALCULUS

From my other book I take this topic:

Negative signs in Gauss law make Faraday law symmetrical?; Post-Comment #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 advanced-text 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 hate-spam posts due to search engine bombing practices.

Archimedes Plutonium