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On the mass spectrum of the elementary particles of the standard model using El Naschie’s golden field theory. (English) Zbl 1033.81521
Summary: In this note we will give an expression of masses of the elementary particles of the standard model in terms of the golden mean. This is the value $\phi=(\sqrt{5}-1)/2$, which corresponds to the Hausdorff dimension of a single random Cantor set. El Naschie’s transfinite field theory which we will call the golden field theory is based on this fact and is the basis of the present paper.

##### MSC:
 81V22 Unified theories of elementary particles 81Q50 Quantum chaos 28A80 Fractals
##### Keywords:
golden mean; Hausdorff dimension; single random Cantor set
Full Text:
##### References:
 [1] El Naschie, M. S.: On the exact mass spectrum of quarks. Chaos, solitons and fractals 14, 36-376 (2002) [2] El Naschie, M. S.: On a class of general theories for high energy particle physics. Chaos, solitons and fractals 14, 649-668 (2002) [3] El Naschie, M. S.: Heterotic string space time from probability theory. Chaos, solitons and fractals 12, 617-621 (2001) · Zbl 1015.81051 [4] El Naschie, M. S.: Four as the expectation value of the set of all positive integer and the geometry of four manifolds. Chaos, solitons and fractals 9, 1625-2629 (1998) [5] Sidhart BG. Chaotic Universe, Nova, New York: 2001