Re: Quantum Flux




Timothy Golden BandTechnology.com wrote:

I don't understand where you get an angle.

I think this might be fairly important.
It is an argument of pure geometry.

Indeed...
Pure as a whore in the last pew at church. :o)

<< More substantial criticism is welcome. >>

I couldn't tell if you had a helmet on so I tho't
the soft ammunition might be enough to skeeer
some geometry into ya. :o)

I understand that it seems like cheating.
Further the link to magnetic moment is not there.
It's just geometry.

Right... It is just geometry. If you don't get anything else out
of this discussion, you need to get the part where you go:
"WOW magnetic force and Coulomb force are the same thing."

So... I am going to try and reorder this thread where you
have most of those pieces working.

<< What about the magnetic moment? >>
<<Then I have to ask where is the magnetic moment? >>
<< The electron needs to have an axis also.>>
<< Wouldn't that add a dimension to your description? >>

Alright alright! Give me a moment and I'll give ya a moment. :o)


---
Nice point. Superposition is at the heart of all. Integration is
superposition. Summation is superposition. We solve complex problems as
the superposition of smaller problems. Down at the bottom is a two-body
problem, the only one we seem to know how to solve. But the two
electron system as a two body problem including the magnetic moment
hasn't been solved has it? You would know better than I. Has it been
tried?
---

Get comfortable. We need nearly all this:

Time-independent Maxwell equations
// Time-dependent Maxwell's equations, Later for relativity
http://farside.ph.utexas.edu/teaching/em/lectures/lectures.html
"Charge triple"
http://hyperphysics.phy-astr.gsu.edu/HBASE/electric/dipole.html#c2
"visualizations"
http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm
"Volumetric superposition"
http://en.wikipedia.org/wiki/Multiple_integral
"The origin of permanent magnetism "
http://farside.ph.utexas.edu/teaching/302l/lectures/node62.html

The force that attracts your charged comb to your pith ball is
the same force that holds your refrigeration magnets on the door.
The geometry is just different. 8-O wow!

A good study tool is a charge triple:
http://hyperphysics.phy-astr.gsu.edu/HBASE/electric/dipole.html#c2

If you compare how a pair of charges looks from two
positions with a single charge jumping between the
two positions you can see half the mechanims we need.

The integration over a volume of space is the the other half.

Look at:
http://hyperphysics.phy-astr.gsu.edu/HBASE/electric/dipole.html#c2
...and see how:
!!! The isolation between two Coulomb paths is proportional
to the *volume* of space that is *unshared*. !!!

cos theta gives the approximation for this 3d volume
for this *special-case* without the complexity of the more
general multiple integral.

When you have that superposition concept in your mind, you
should be able to look at those various ring diagrams on the
MIT visualizations and derive all the classic right hand rules
that they teach in electomag 101.

A charge moving in a circular path never changes its distance
from a point on the circles axis. For Coulomb forces, points
on that axis are prefered points and they will become magnet
poles.

I'll stop here for digestion time. If you don't get it on the tenth
read, don't feel bad... some people never get it and continue
blundering forth assuming magnetism is some magic force.

Sue...


[snipped after moving mag related above.]
Let's practice magnetism by integration
with big sprinklers and small drops before
trying to discuss subatomic realm where
little spriklers squirt big drops.

Sue...

.



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