The Origin of the 11d World Membrane as a Pascal Conic Section of Six 1d Strings in a 5d Projective Space
projective set of vertices for this object}. This description thus emphasizes its deep significance with regard to encompassing entire dimensional gamete of the ‘axioms of incidence’ (before one goes one to introduce the additional set necessary to establish sense and that of continuity), beginning with those of the simplest axioms dimensional extension and 5D closure, along with its projective dual of six-lines at a point, which is then sectioned back down to the final incidence relations corresponding to six complete points on a line and six complete lines through a point. Likewise, one can add the 5-space with the 6-line dimensions to obtain an 11D manifold mapping what amounts to a finite projective geometry that is at once is both complete and categorically consistent (as it’s not concerned with infinite ranges of points or numbers, it’s not restricted by, but again supports, Gödel’s reasoning). So, for example, it’s quite interesting that J. W. Hirschfeld points out in his text on finite projective groups that no six-conics exist in dimension higher than eleven.
Which brings us to the crux of this article as it relates to the mathematical physics of (super) string, and ‘M’ or membrane, theory – which I have yet seen pared down by Occam’s blade to its essence in the foundations of geometry, thus prompting the summary here, comprehensible to a wider segment of intelligent folks. Superstring theory is based on a four-dimensional space-time or physical metric, that together with an internal six-dimensional (Kauler) manifold (or compact Calabi-Yau space) for what can now be thought of as 1D-strings of the 6-line-a-point; forming a total 10-dimensional system. But it became apparent by the 1980’s that
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