Fractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant

Simple item page
dc.creatorCastro, Carlos
dc.date2002-03-09
dc.date2002-04-30
dc.date.accessioned2026-07-07T04:13:13Z
dc.date.available2026-07-07T04:13:13Z
dc.descriptionBeginning 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.
dc.description14 pages, plain Tex, Revised. An appendix with additional Comments on arithmetic QFT and other topics has been added. References are added
dc.identifierhttps://arxiv.org/abs/hep-th/0203086
dc.identifierhttp://arxiv.org/abs/hep-th/0203086
dc.identifierChaos Solitons Fractals 14 (2002) 1341-1351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51177
dc.subjectHigh Energy Physics - Theory
dc.titleFractal Strings as the Basis of Cantorian-Fractal Spacetime and the Fine Structure Constant
dc.typetext

Files

Collections

arXiv