Published October 2006
| Version v1
Journal article
El Naschie's ε (∞) space-time and new results in scale relativity theories
- 1. 'Al.I.Cuza' University, Faculty of Physics, Department of Theoretical Physics, Blvd. Carol No. 1, Iasi 700506 (Romania)
- 2. 'Gh. Asachi' Technical University, Department of Physics, Blvd. Mangeron, No. 64, Iasi 700050 (Romania)
Description
New results in fractal space-time theory are established: the fractal operator for the fractal dimension D = 2 implies a generalized Schroedinger 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
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2005.11.018;
- PII
- S0960-0779(05)01103-3;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 30
- Journal Issue
- 2
- Journal Page Range
- p. 380-398
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38012726
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DUALITY; FRACTALS; KORTEWEG-DE VRIES EQUATION; ONE-DIMENSIONAL CALCULATIONS; RELATIVITY THEORY; SCHROEDINGER EQUATION; SPACE-TIME
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.