Chronology Current Month Current Thread Current Date
[Year List] [Month List (current year)] [Date Index] [Thread Index] [Thread Prev] [Thread Next] [Date Prev] [Date Next]

Re: del F = 4pi J ... correspondence between Clifford Algebra and vectorformulation of electromagnetism



Thanks. That helps a lot.
Jack
On Mon, 19 Aug 2002, John S. Denker wrote:

For the benefit of those afflicted with browsers that
can't display the symbol font, I put up a DJVU version
of the Clifford Algebra / Maxwell equations exercise,
namely:
http://www.monmouth.com/~jsd/physics/maxwell-ga.djv

You may need to download a free DJVU plugin from
http://www.lizardtech.com/download/?f=0&d=1

The content remains the same, namely:

I recently did an amusing exercise. Starting from
the equations of electromagnetism in the form
del F = 4pi J
I turned the crank on the Clifford Algebra to confirm
that it does indeed regenerate the old-fashioned vector
representation of Maxwell's equations.

It was an interesting tour of the Geometric Algebra
machinery. I wrote up some notes on the scenery
along the way, including some of the pitfalls that
one learns to avoid.

Using cross products is like eating soup with a fork.
Clifford Algebra is the spoon -- it's easier and gives
a better result.


--
"But as much as I love and respect you, I will beat you and I will kill
you, because that is what I must do. Tonight it is only you and me, fish.
It is your strength against my intelligence. It is a veritable potpourri
of metaphor, every nuance of which is fraught with meaning."
Greg Nagan from "The Old Man and the Sea" in
<The 5-MINUTE ILIAD and Other Classics>