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.
