El Naschie’s ε(∞) space–time, hydrodynamic model of scale relativity theory and some applications

M. Agop, P. Nica, P.D. Ioannou, Olga Malandraki and I. Gavanas-Pahomi

Chaos, Solitons & Fractals, 2007, vol. 34, issue 5, 1704-1723

Abstract: A generalization of the Nottale’s scale relativity theory is elaborated: the generalized Schrödinger equation results as an irrotational movement of Navier–Stokes type fluids having an imaginary viscosity coefficient. Then ψ simultaneously becomes wave-function and speed potential. In the hydrodynamic formulation of scale relativity theory, some implications in the gravitational morphogenesis of structures are analyzed: planetary motion quantizations, Saturn’s rings motion quantizations, redshift quantization in binary galaxies, global redshift quantization etc. The correspondence with El Naschie’s ε(∞) space–time implies a special type of superconductivity (El Naschie’s superconductivity) and Cantorian-fractal sequences in the quantification of the Universe.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:5:p:1704-1723

DOI: 10.1016/j.chaos.2006.05.014

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