Fractal–Cantorian geometry, Hausdorff dimension and the fundamental laws of physics

Fractal geometry is widely used nowadays in many scientific areas. The authors are trying to link its uses to a description of fractal basis of fundamental physical laws. Fractals seem to be very powerful in describing natural objects on all scales. Fractal dimension and fractal measure, are crucial parameters for such description. They imply that there are no different laws, which act on different scales but there is a small set of universal properties, which act in different dimensional spaces as in El Naschie’s Cantorian ε(∞) theory. The article describes the relation between fractal–Cantorian geometry and fundamental physical laws. It shows dependence between fractal describing parameters and quantities, which characterize properties of real world.