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Topic: Chapt15.54 generalization of the Maxwell Eq and deriving Darwin
Evolution #1301 New Physics #1504 ATOM TOTALITY 5th ed

Replies: 8   Last Post: Apr 21, 2013 5:16 PM

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 plutonium.archimedes@gmail.com Posts: 18,333 Registered: 3/31/08
resolving magnetic monopole with dipole Chapt15.55 the 5th Maxwell
Equation #1306 New Physics #1509 ATOM TOTALITY 5th ed

Posted: Apr 20, 2013 3:43 PM

Marvelous how a good night's sleep helps solve a physics and math
problem. The problem was, as you may well remember is that magnetic
monopoles are attraction only, and that magnetic dipoles are both
attraction and repulsion the same as electric charge.
So I need to have the Maxwell Equations have the feature of magnetic
monopoles attract only, and never repel.

These are the 4 Maxwell Equations with magnetic monopoles and the
Dirac Equation.

div*E = r_E

div*B = r_B

- curlxE = dB + J_B

curlxB = dE + J_E
?________________

div*E + div*B + (-1)curlxE + curlxB = r_E + r_B + dB + dE + J_E + J_B

Now Wikipedia has a good description of how Dirac derived his famous
equation which gives this:

(Ad_x + Bd_y + Cd_z + (i/c)Dd_t - mc/h) p = 0

And we can see that by summation of the Maxwell Equations we derive
the Dirac Equation.

Let me modify my terms so that the wave function as p is denoted as
f_w(p).

(Ad_x + Bd_y + Cd_z + (i/c)Dd_t - mc/h) f_w(p) = 0

Now I think the solution is going to have to be a 5th Maxwell Equation
that recognizes magnetic dipoles and magnetic monopoles where the
monopoles are attract only, yet the dipoles like electric charge are
both attract and repel. I am guided by the Dirac Equation, which may
turn out to be an error on my part, but I instinctively would assume
that Dirac, looking blindly for a relativistic Schrodinger Equation,
would stumble upon, not a complex equation but a equation of most
primitive form. So I am going to assume Dirac would have found a most
primitive relativistic Schrodinger Equation, not a polished one.

The Dirac Equation has 5 terms in all. That is asymmetrical, but it
would not be asymmetrical if it had 6 terms in all. And the Maxwell
in my sleep and rest, I found the most easiest solution and way out of
this problem. We have a 5th Maxwell Equation of -div*M = 0. This
equation is similar to the no magnetic monopole equation of Gauss's
law of magnetism except it has M for monopole instead of B for dipole.
And it has a negative sign that allows attraction force only and no
repulsion.

div*E = r_E

div*B = r_B

- div*M = 0

- curlxE = dB + J_B

curlxB = dE + J_E

And now we modify the Dirac Equation with a total of 6 terms rather
than 5 terms:

(Ad_x + Bd_y + Cd_z + (i/c)Dd_t - mc/h - (div*M)) f_w(p) = 0

Now let us look back and reflect on this. There are asymmetries still,
but we should not look bad or harsh on asymmetry because the Universe
is growing and in growing we need asymmetry. Mind you, most asymmetry
means a mistake is made, but we need some asymmetry when it is the
Universe in question. The reason that pi or "e" are not rational is
because the Universe is growing and not standing still. So asymmetry
is needed if an object is growing.

--
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Drexel?University hosts sci.math as the Math Forum. Science needs to
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next dollar bill. Only Drexel's Math Forum has done a excellent,
simple and fair author-archiving of AP sci.math posts since May 2012
as seen here :

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