A non-prompt null ray cures its own singularity

In AdS/CFT correlators, bulk cone singularities arise when two points that are timelike separated on the AdS boundary may be connected by a null geodesic through the bulk. We consider corrections to these correlators away from the $G_N\to 0$ limit arising from the backreaction of this null geodesic. A peculiar property of this geodesic is that it is not prompt, meaning that there exist points on it that are timelike separated. This implies that it may gravitationally affect itself. We show that this leads to an energy-dependent delay in the time elapsed along this geodesic. This coupled with possible inelastic effects due to gravitational radiation are the leading mechanisms that resolve the singularity. The resolved singularity is accompanied by oscillations and hence zeroes in the real and imaginary parts of the correlator. We comment on the role that additional inelastic effects play in damping these oscillations. Finally, we provide a concrete example in $2+1$D where we can compute the energy-dependent time delay effect explicitly by studying the boundary graviton mode.