The wave-particle duality in the Weyl-Dirac theory

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Scientific paper

The solution of a static two-dimensional wave equation in the Gauss-Mainardi-Codazzi formalism of Weyl-Dirac theory is obtained in terms of the elliptic function with a complex argument. In particular, by double degenerating the elliptic function, wave-particle duality results. Associating a superconducting behaviour to matter, by means of the duality, we find some superconducting parameters: Bc2, the average carrier density, the gap energy and the pair-breaking time. The discontinuities of these parameters for sequences (1/3), (1/5), (1/7),... imply that the quantum spacetime is Cantorian.

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