El Naschie’s ε(∞) space–time and new results in scale relativity theories

I. Gottlieb, M. Agop, Gabriela Ciobanu and Aurelia Stroe

Chaos, Solitons & Fractals, 2006, vol. 30, issue 2, 380-398

Abstract: New results in fractal space–time theory are established: the fractal operator for the fractal dimension D=2 implies a generalized Schrödinger equation in the Nottale’s scale relativity theory, while the fractal operator for the fractal dimension D=3 implies the Korteweg–de Vries equation in the one-dimensional case. The connection with El Naschie’s ε(∞) theory result by means of the Cooper-type pairs or through wave-particle duality.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:2:p:380-398

DOI: 10.1016/j.chaos.2005.11.018

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