## Scale relativity and quantization of the solar system
^{1} C.N.R.S., D.A.E.C. Observatoire de Paris-Meudon, F-92195
Meudon Cedex, France^{2} Observatoire de la Côte d'Azur, Département
Augustin Fresnel, URA 1361 du CNRS, av. Copernic, F-06130 Grasse,
France
The scale relativity theory, by giving up the differentiability of
space-time coordinates at very large time-scales, describes the solar
system in terms of fractal trajectories governed by a
Schrödinger-like equation. The predictions of the theory are
expressed in terms of probability densities, that we interpret as a
tendency for the system to make structures. Planets can no longer
orbit at any distance from the Sun, but instead at preferential
distances given at lowest order by: . In this
formula,
## Contents- 1. Introduction
- 2. Theoretical background
- 3. Application to the solar system
- 4. Possible existence of an intramercurial small planet
- 5. Conclusion
- Acknowledgements
- Appendix A: upper limit of the mass due to the uncertainty of Mercury perihelion's advance
- References
© European Southern Observatory (ESO) 1997 Online publication: June 5, 1998 |