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El Naschie’s superconductivity in the time dependent Ginzburg–Landau model

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  • Buzea, C. Gh.
  • Agop, M.
  • Galusca, G.
  • Vizureanu, P.
  • Ionita, I.

Abstract

One obtain various interesting results if one introduces the hydrodynamic formulation of scale relativity theory (SRT), for a coherent quantum fluid, into the time dependent Ginzburg–Landau (TDGL) equation, which describes superconductivity. The London gauge and the zero momentum of the Copper pairs (i.e. the London equations) arise naturally from the imaginary parts of the computed system. One obtains a particular relation between the diffusion coefficient, the (dimensionless) friction coefficient and the (dimensionless) Ginzburg–Landau parameter which yields a new natural gauge for the TDGL equation (as postulated by some authors). If the value of the real velocity of the Copper pairs tends to zero, the imaginary velocity of the pairs becomes real. The subquantum potential is proportional to the density of the Copper pairs. Moreover, under special circumstances, the superconductor acts as a subquantum medium energy accumulator. In this context, we discuss a certain special coherence of the Cooper-pairs by means of ε(∞) space–time (El Naschie’s superconductivity).

Suggested Citation

  • Buzea, C. Gh. & Agop, M. & Galusca, G. & Vizureanu, P. & Ionita, I., 2007. "El Naschie’s superconductivity in the time dependent Ginzburg–Landau model," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1060-1074.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:4:p:1060-1074
    DOI: 10.1016/j.chaos.2006.03.122
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    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. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
    4. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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    Cited by:

    1. Zhang, Qi, 2009. "Random attractors for a Ginzburg–Landau equation with additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 463-472.

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