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From: Osher Doctorow on 14 May 2010 16:18 From Osher Doctorow A. Kryukov of U. Wisconsin Colleges, Wisconsin USA, in "A possible mathematics for the unification of quantum mechanics and general relativity," arXiv: 1005.2361 v1 [math-ph] 10 May 2010, 12 pages, contributes to the Unification of Fundamental Interactions by identifying points in R^3 with states of particles found at the point(s) represented by delta functions, a generalization/modification of the "celebrated" Gel'fand-Kolmogorov theorem. Delta Functions are closely related to Probable Causation/Influence (PI) as discussed recently in greater detail in this thread. The Gel'fand-Kolmogorov Theorem says that an arbitrary compact Hausdorff space X can be identified with the set all all delta functions in the space dual to C(X) (continuous functions on X). The 3-dimensional delta-function delta_a^3(x) or delta(3, a)(x) (3 superscript, a subscript) with a being a vector (point) in R^3, is defined by: 1) delta(3, a)(x) = delta^3(x - a), x being an arbitrary vector (point), "a" fixed (particular) point. Osher Doctorow |