EULER’S FLUIDS AND NON-DIFFERENTIABLE SPACE-TIME

M. Agop (Romania), Liliana Chicos (Romania), P. Nica (Romania) and Anca Harabagiu (Romania)

Received May 7, 2007

Abstract

In the fractal dimension  of the non-differentiable space-time, the generalized Schrödinger type equation as an irrotational movement of Euler’s type fluids is obtained. The wave-function simultaneously becomes the complex speed potential and the compatibility condition between the hydrodynamic model and the wave mechanics model implies a fractal Josephson type effect. This approach is one of the rare cases in which non-differentiability is given implicitly, not explicitly.

Keywords and phrases: Euler’s fluids, non-differentiable space-time, hydrodynamic model, wave mechanics model, generalized Schrödinger type equation.