The Theory of Scale Relativity : Non-Differentiable Geometry and Fractal Space-Time

@inproceedings{Nottale2003TheTO,
  title={The Theory of Scale Relativity : Non-Differentiable Geometry and Fractal Space-Time},
  author={Laurent Nottale},
  year={2003}
}
The aim of the theory of scale relativity is to derive the physical behavior of a non-differentiable and fractal space-time and of its geodesics (with which particles are identified), under the constraint of the principle of the relativity of scales. We mainly study in this contribution the effects induced by internal fractal structures on the motion in standard space. We find that the main consequence is the transformation of classical mechanics in a quantum mechanics. The various mathematical… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS