E-infinity theory

"E" infinity theory is a fractal cosmology model made by M. S. El Naschie beginning in 1994 [ [http://elnaschie.com/bilder/file/4.%20Is%20quantum%20space%20a%20random%20Cantor%20set.pdf Is Quantum Space a Random Cantor Set with a Golden Mean Dimension at the Core?"] ] . This models a harmonic production of quarks and elementary particles through a golden section centered Cantorian fractal spacetime.

The crucial step in "E" infinity formulation was to identify the stormy ocean-like behavior of quantum spacetime with vacuum fluctuation and using the mathematical tools of non-linear dynamics, complexity theory, and chaos. In particular, the geometry of chaotic dynamics, namely fractal geometry, is reduced to its quintessence, (i.e., Cantor sets) and employed directly inthe geometrical description of the fluctuation of the vacuum.

"E" infinity theory admits formally infinite-dimensional ‘‘real’’ spacetime. However this infinity is hierarchical in a strict mathematical way and is able to show that although "E" infinity has formally infinitely many dimensions, seen from a distance, i.e., at low resolution or equivalently at low energy, it mimics the appearance of a four-dimensional spacetime manifold which has only four dimensions. Thus, the four dimensionality is a probabilistic statement, a so-called expectation value. It is remarkable that the Hausdorff dimension of this topologically four dimensional-like ‘‘pre’’ manifold is also a finite value equal to the cube of golden mean (4,236...). [ [http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TJ4-4909B2J-1&_user=10&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_version=1&_urlVersion=0&_userid=10&md5=e33a99a194728bf5002783dc13e050c6 A review of "E" infinity theory and the mass spectrum of high energy particle physics] ]

ee Also

*Fractal cosmology
*Fractal time

References