Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-09
Chaos Solitons Fractals 14 (2002) 1341-1351
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, plain Tex, Revised. An appendix with additional Comments on arithmetic QFT and other topics has been added. Referenc
Scientific paper
Beginning with the most general fractal strings/sprays construction recently expounded in the book by Lapidus and Frankenhuysen, it is shown how the complexified extension of El Naschie's Cantorian-Fractal spacetime model belongs to a very special class of families of fractal strings/sprays whose scaling ratios are given by suitable pinary (pinary, $p$ prime) powers of the Golden Mean. We then proceed to show why the logarithmic periodicity laws in Nature are direct physical consequences of the complex dimensions associated with these fractal strings/sprays. We proceed with a discussion on quasi-crystals with p-adic internal symmetries, von Neumann's Continuous Geometry, the role of wild topology in fractal strings/sprays, the Banach-Tarski paradox, tesselations of the hyperbolic plane, quark confinement and the Mersenne-prime hierarchy of bit-string physics in determining the fundamental physical constants in Nature.
No associations
LandOfFree
Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-186898