  We consider higher-spin gravity in (Euclidean) AdS_4, dual to a free vector
model on the 3d boundary. In the bulk theory, we study the linearized version
of the Didenko-Vasiliev black hole solution: a particle that couples to the
gauge fields of all spins through a BPS-like pattern of charges. We study the
interaction between two such particles at leading order. The sum over spins
cancels the UV divergences that occur when the two particles are brought close
together, for (almost) any value of the relative velocity. This is a
higher-spin enhancement of supergravity's famous feature, the cancellation of
the electric and gravitational forces between two BPS particles at rest. In the
holographic context, we point out that these "Didenko-Vasiliev particles" are
just the bulk duals of bilocal operators in the boundary theory. For this
identification, we use the Penrose transform between bulk fields and twistor
functions, together with its holographic dual that relates twistor functions to
boundary sources. In the resulting picture, the interaction between two
Didenko-Vasiliev particles is just a geodesic Witten diagram that calculates
the correlator of two boundary bilocals. We speculate on implications for a
possible reformulation of the bulk theory, and for its non-locality issues.
