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 Author: DimBulb [ 15 Jul 2009, 18:35 ] Post subject: Clifford Freaking Algebra My latest confusion comes from Clifford Algebra. Penrose says , if you know what I mean, but tutorials I find on the net (like http://www.mrao.cam.ac.uk/~clifford/introduction/intro/intro.html) say . Can you explain?

 Author: DimBulb [ 17 Jul 2009, 17:38 ] Post subject: Re: Clifford Freaking Algebra I reply to my own post.Still confused about these s, but I have this to add:Setting each instead of does not invalidate the "secondary entities" equivalent to i, j, and k of the quaternions as described on page 209. In his Introduction to Clifford Algebra (http://www.av8n.com/physics/clifford-intro.htm) John Denker says the appropriate Clifford Algebra basis for general relativity (Minkowski spacetime) is Where those indices on those gammas are supposed to be subscripts, but the LaTex code doesn't seem to work.The gamma sub 0 represents the time dimension and gamma sub 1 through 3 the space dimensions.So I am guessing Penrose is defining his Clifford Algebra with each appropriate for this "spin space" he talks about, maybe. Or maybe he will add a for spacetime and have a system kind of opposite what Denker has, but maybe these two basis are not equivalent.I don't know.