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On a connection between the VAK, knot theory and El Naschie’s theory of the mass spectrum of the high energy elementary particles

✍ Scribed by L. Marek-Crnjac

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
114 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

In the present work we give an introduction to the e ð1Þ Cantorian space-time theory. In this theory every particle can be interpreted as a scaling of another particle. Some particles are a scaling of the proton and are expressed in terms of / and a 0 . Following the VAK suggestion of El Naschie, the limit sets of Kleinian groups are Cantor sets with Hausdorff dimension / or a derivative of / such as 1=/, 1=/ 2 , 1=/ 3 , etc. Consequently and using e ð1Þ theory, the mass spectrum of elementary particles may be found from the limit set of the M€ o obius-Klein geometry of quantum space-time as a function of the golden mean / ¼ ð ffiffi ffi 5 p À 1Þ=2 ¼ 0:618033989 as discussed recently by Datta (see Chaos, Solitons & Fractals 17 (2003) 621-630).

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