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

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

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.

Suggested Citation

  • Gottlieb, I. & Agop, M. & Ciobanu, Gabriela & Stroe, Aurelia, 2006. "El Naschie’s ε(∞) space–time and new results in scale relativity theories," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 380-398.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:2:p:380-398
    DOI: 10.1016/j.chaos.2005.11.018
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "The two-slit experiment as the foundation of E-infinity of high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 509-514.
    2. El Naschie, M.S., 2005. "A new solution for the two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 935-939.
    3. El Naschie, M.S., 2005. "Stability Analysis of the two-slit experiment with quantum particles," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 291-294.
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