Topological Origin of Inertia

The purpose of the present article is to propose a topological interpretation of the inertial interaction. In this context, the instantaneous propagation and the infinite range of the inertial interaction can be explained as a topological amplitude associated to a 0 size singular gravitational instanton.We suggest here that the topological charge of the singular gravitational instanton of 0 size represents the source of the inertial interaction. As the topological charge, the inertial interaction is equally invariant and propagates itself instantaneously from one point to another in spacetime. Such a property is not explicable within the frame of field theory but may find a solution in the topological theory as proposed by E.Witten in 1988. In our model, the initial singularity is the source of a topological amplitude corresponding to the charge of the 0 size singular gravitational instanton detectable at the boundary S3 of the singular gravitational instanton having the topology of the 4-dimensional Euclidean ball B4. The pseudo-observables of Riemannien spacetime at the origin are here interpreted as co-cycles on instanton moduli space and are associated to Ksi-cycles of the B4 4-manifold (Donaldson application).