Now I need to include this in my math textbook of Correcting Math for
Old Math was unaware of missing axioms in geometry that allow for
rules of sign in addition and multiplication.

Now I thought I needed that 5th Maxwell Equation, - div*M = 0 to get
the fact that magnetic monopoles are attraction force only. But a clue
came in from mathematics that I need no 5th equation and can get that
attraction force only from the add on to the Faraday law of magnetic
current density.
If we consider that Total Geometry is the Euclidean geometry equals
the
union of Elliptic with Hyperbolic geometries. And Elliptic is all
positive numbers only and Hyperbolic is all negative numbers only.
Euclidean is both positive and negative numbers.
Now there are some rules in mathematics of these:
Negative times negative is always positive.
Negative times positive is always negative.
Negative plus positive depends on which is larger in absolute-value.
Negative plus negative is always negative.
Now in mathematics they made a huge mistake of omission in that none
of those rules are in the axioms of mathematics but are defined as
such. Neither in Peano axioms nor in Hilbert axioms of geometry can we
derive those rules. And even if we can derive those Rules, they are
confined to just Euclidean geometry and need a special new batch of
rules if doing Hyperbolic geometry where all numbers are negative
numbers so that if you multiply a negative by a negative you end up
with a negative. Now none of us can fathom that for mathematics, but
it is there in the Maxwell Equations.

Now those rules are true only for Euclidean geometry with a Descartes
coordinate system. But those rules are meaningless in Elliptic
geometry where all the numbers are positive numbers and you cannot
have negative numbers even if the absolute value of the subtraction is
larger. Likewise the reverse for Hyperbolic geometry where all the
numbers are negative numbers and no positives.
So how does this relate to no need for a 5th Maxwell Equation?

div*E = r_E

div*B = r_B

- div*M = 0

- curlxE = dB + J_B

curlxB = dE + J_E

I would like to run a survey of chemistry and astronomy professors of
how many of them know the Maxwell Equations with proficiency? I know
some chemists can work with the Schrodinger Equation, but can they
work proficiently with the Maxwell Equations? Or, is the reason they
are astronomers and chemists, is because the Maxwell Equations are too
difficult for them?

Well, what I need is a attraction force only for the magnetic
monopoles, and if the magnetic current density term is always positive
and the dB term is always positive
- curlxE = dB + J_B
while the curlxE term is always negative means that the J_B term must
in fact be negative and not positive. The J_B term is always negative,
regardless of what the multipliers are.
So instead of a whole new 5th Maxwell Equation of -div*M = 0 to obtain
a attraction force only, I just look to the magnetic current density
to get that attraction force only.
So in mathematics, if instead of the Hilbert axioms, we pitch them out
and replace them with the 4 Maxwell Equations because we get not only
those rules of algebra of negative times negative is always positive
but we get all three geometries simultaneously, without having to snip
and cut and paste into the parallel axiom.

--
Approximately 90 percent of AP's posts are missing in the Google
newsgroups author search starting May 2012. They call it indexing; I
call it censor discrimination. Whatever the case, what is needed now
is for science newsgroups like sci.physics, sci.chem, sci.bio,
sci.geo.geology, sci.med, sci.paleontology, sci.astro,
sci.physics.electromag to
be hosted by a University the same as what
Drexel
University hosts sci.math as the Math Forum. Science needs to
be in education
not in the hands of corporations chasing after the
next dollar bill.
Besides, Drexel's Math Forum can demand no fake
names, and only 5 posts per day, of all posters which reduces or
eliminates most spam and hate-spew, search-engine-bombing, and front-
page-hogging. Drexel has
done a excellent, simple and fair author-
archiving of AP sci.math posts since May 2012
as seen
he

http://mathforum.org/kb/profile.jspa?userID=499986

Archimedes Plutonium
http://www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies