## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

George Shabat

### On the elliptic time in the Newton-Kepler adelic dynamic

Abstract

The two-body problem will be presented over the field of algebraic numbers, all the observables being abelian integrals on elliptic curves. The interpretation of this model in terms of the adelic space-time wil be discussed. Possible generalizations (including Tod-Hitchin solutions of Einstein equations, based on the Poncelet dynamics) will be mentioned.