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Matheology § 158
Posted:
Nov 22, 2012 8:35 AM
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Matheology § 158
One user of transfinite set theory, i.e., a man who arrives where he cannot arrive, is Mohamed El Naschie. http://www.el-naschie.net/bilder/file/Photo-Gallery.pdf
Then came the next quantum jump, around 1990, when M.S. El Naschie who was originally working on elastic and fluid turbulence began to work on his Cantorian version of fractal space-time. He showed that the n- dimensional triadic Cantor set has the same Hausdorff dimension as the dimension of a random inverse golden mean Sierpinski space to the power n-1. [...] Sometime later El Naschie using the work of Prigogine on irreversibility showed that the arrow of time may be explained in a fractal space-time. A few years later two of El Naschie?s papers on the subject were noted by Thompson essential science indicators as the most cited New frontier paper in physics and as Hot paper in engineering. {{That seems to come a bit too early. At the univeryity of applied sciences Augsburg the theories of El Naschie have not yet been taught.}} [...] In E-infinity theory El Naschie admit formally infinite dimensional ??real? space-time. This infinity is hierarchical in a strict mathematical way and he was able to show that E-infinity has finite number of dimensions when observed from a distance. At low resolution or equivalently at low energy the E-infinity Cantorian space-time appear as a four dimensional space-time manifold. [...] The eigenvalues like equation have a very simple interpretation: Dim E8 E8 = 496 represent all fundamental interactions. Thus it is equal to particle physics 339 symmetries plus the R(4) = 20 of gravity plus aleph_0. From that we deduce aleph:_0 = 496 - 339 - 20 = 137. {{The correct value 137.036 has exorcized some number mysticist and numerologist.}} [...] The author is indebted to the many members of the fractal-Cantorian space-time community {{Cantor's idea of countably many body-atoms and uncountably many ether-atoms gains new impetus. The fatal Space-Time-Community grows, it seems, above all limits.}} [L. Marek-Crnjac: "A short history of fractal-Cantorian space-time", Chaos, Solitons and Fractals 41 (2009) 2697?2705] http://www.msel-naschie.com/pdf/cantorian-history.pdf
Regards. WM
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