On the Fibonacci origin of the internal symmetries of super strings and 5-Brane in 11 dimensions

El Naschie recently showed that the exceptional Lie symmetry group E12 together with the compactified Klein modular curve SL(2,7)c gives jE12j + j SL(2,7)c j = 685 + 339 = 1024. (See CS& F (2008) doi: 10.1016/j.chaos.2008.08.005). The same result is found for Dim E8E8 = 496 when added to the number of states of the 5-Branes in 11-dimensions model, namely 528. The present work gives the Fibonacci explanation for all these remarkable results. We conclude that the Fibonacci growth law is not only fundamental in biology and econometrics but also in high energy physics as exemplified by El Naschie’s fractal- Cantorian spacetime theory.