Abacioaie, D. S.
Paun, M. A.
Niculescu, O.
Antici, A.
Colotin, M.
Implications Of Scale Relativity In Gravitational And Electromagnetic Field Theory
Romanian Journal Of Physics
55
665-675
A non-differentiable mechanical model (an alternative to Nottale's Scale Relativity Theory) considering that the particles movements takes place on Peano fractal curves is built. A Navier-Stokes type equation with an imaginary viscosity coefficient for a complex speed field, a Schrodinger-type equation and a hydrodynamic version of the non-differentiable mechanical model are obtained. The one body problem and the red-shift quantization in binary galaxies are investigated as an application.
non-differentiable mechanical model;
fractal fluid;
one body problem in SR;
the red-shift quantization in binary galaxies;
Epsilon((Infinity)) Space-Time;
Periodicities;
Model;
2010