Abstract  The purpose of the present article, following “Mach’s principle” (the main elements of which have contributed to the foundations of general relativity) is to propose a new (non-local) interpretation of the inertial interaction. We then suggest that the inertial interaction can be correctly described by the topological field theory proposed by Witten in 1988. In such a context, the instantaneous propagation and the infinite range of the inertial interaction might be explained in terms of the topological amplitude connected with the singular zero size gravitational instanton corresponding to the Initial Singularity of space-time.