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Topic: Matheology § 158
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Posts: 18,076
Registered: 1/29/05
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.

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
[L. Marek-Crnjac: "A short history of fractal-Cantorian space-time",
Chaos, Solitons and Fractals 41 (2009) 2697?2705]

Regards. WM

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