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Re: cross-product versus Clifford Algebra



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