Scale relativity and dark potential

Details Scale relativity and dark potential Scale relativity and dark potential

Dec 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004sf2a.conf..699n&link_type=abstract

SF2A-2004: Semaine de l'Astrophysique Francaise, meeting held in Paris, France, June 14-18, 2004. Edited by F. Combes, D. Barret

Astronomy and Astrophysics

Astrophysics

Scientific paper

In the framework of the theory of scale relativity, one considers a geometry that is not only curved, but also non-differentiable and therefore fractal, i.e. structured along scales. The equation of dynamics (i.e. of geodesics) in such a space can be integrated in terms of a generalized Schrodinger equation. Then one can show that, in analogy with the curvature manifesting itself as the Newton potential (to first approximation), the fractality leads to the appearance of a new potential energy. This result allows one to suggest a new alternative solution, of geometrical nature, to the problem of the effects that are usually attributed to unseen, non baryonic dark matter.

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