Re: left/right symmetry, manifest or not

[Jack Uretsky <jlu@HEP.ANL.GOV>]

But that is not correct, as one can read in Hesthenes lecture.  He writes
that the bivector ("s" stands for "sigma")
        s_{1}s_{2} = (the pseudovector) is_{3}
The right hand side of that expression is the pseudoscalar "i" times the
vector pointing out of the plane.  The relation extends beyond the
abstract mathematics of the Clifford algebra once one identifies the axes
1,2,3 with the axes of a coordinate system and necessarily implies either
a RHR or a LHR, depending on the choice of axes.




On Thu, 29 Aug 2002, Bob Sciamanda wrote:

> Let me muse that it seems to me that this decision ( to distinguish right
> vs left handed systems, the RHR, etc) must have arisen from our desire to
> model  rotational velocity with a vector - we found that the best we could
> do was to invent the pseudo-vector with the above mentioned baggage.
> Instead Clifford Algebra invents the "bivector", a circulation in the
> plane, with no necessary reference to a new dimension out of the plane.
>
> Bob Sciamanda (W3NLV)
> Physics, Edinboro Univ of PA (em)
> trebor@velocity.net
> http://www.velocity.net/~trebor
>
>
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