Joy Christian wrote:Again, your post is off-topic. Moreover, I am entirely unexcited by the abstract. My work has nothing to do with wavefunction and all the unpalatable baggage it brings in.

Don't disrupt the flow of this thread. If you have something to contribute about the fibration of S^3, then let us know. Otherwise, keep the wavefunctions, etc., out of it.

OK, we return to your 3-sphere model. I would like to recommend everyone to fire up GAviewer http://www.geometricalgebra.net/gaviewer_download.html in order to verify for themselves whether or not the even sub-algebra of Cl(4, 0) is isomorphic to Cl(0, 3) and hence not a normed division algebra, in contradiction to the claims in all of Christian's latest three papers, two published and one submitted.

The isomorphism can be verified by first drawing a correspondence between (e1 e2), (e2 e3), and (e3 e1) in the even sub-algebra of Cl(4, 0) with e1, e2, e3 in Cl(0, 3). They anti-commute and square to minus one. The next step in establishing the isomorphism could be to verify that (e1 e2 e3 e4) in the even sub-algebra of Cl(4, 0) could correspond with (e1 e2 e3) in Cl(0, 3). To round things off one needs to find which remaining basis elements of Cl(0, 3) correspond to the remaining even basis elements of Cl(4, 0). A nice little exercise for the computer-savvy reader!

It seems to me that this finding puts the 3-sphere model of EPR-Bohm into serious jeopardy. Or is there a serious bug in GAViewer?