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Re: cross-product versus Clifford Algebra



Whoops! Although John fails to focus on the cross-product part of the
argument, I mis-spoke on the circles. They are in the x-z plane. The
cross-product predicts the direction of drift, so that the drift is
imposed on the circular motion.


Regards,
Jack


On Sun, 11 Aug 2002, John S. Denker wrote:

Jack Uretsky wrote:

In response to John D.:
But that is the wrong answer.

I stand by my answer.

...
So the electron
executes circles in the x-y plane as it "drifts" in the z-direction.

Wow. Let's explore the consequences of that.

Will they be right-hand circles or left-hand circles,
when viewed along the direction of propagation of
the light? What does the allegedly-helpful cross product
predict?

Any such circle is a violation of conservation of
parity. A non-chiral setup (no initial spin-polarization
of the electrons, linearly polarized light) produces
a definitely-chiral result. That's very remarkable,
violating parity using only classical electromagnetism.

http://www.nobel.se/physics/laureates/1957/index.html


--
"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>