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Knot theory in R4 and the Hausdorff dimension of a quantum path in E∞

✍ Scribed by M.S. El Naschie

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
170 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis

It is shown that because R4 is a critical space for a knot, the dimension of a connection C, on what is effectively four manifold (dim,&'(")) ~4, must be of a dim C2 = 2. It is reasoned that this result is the topological reason for the quasi two dimensionality of a quantum path in 8") and is a manifestation of a deep relationship between knot theory and Cantorian spacetime leading to (@J = dimC, = 2 and a Codim Cz = 2. Consequently we have (Dim,8cm') z dim C,S CodimC, = 4.

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