  In the AdS/CFT correspondence eternal black holes can be viewed as a specific
entanglement between two copies of the CFT: the thermofield double. The
statistical CFT Wightman function can be computed from a geodesic between the
two boundaries of the Kruskal extended black hole and therefore probes the
geometry behind the horizon. We construct a kernel for the AdS3/CFT2 Wightman
function that is independent of the entanglement. This kernel equals the
average off-diagonal matrix element squared of a primary operator. This allows
us to compute the Wightman function for an arbitrary entanglement between the
double copies and probe the emergent geometry between a left- and right-CFT
that are not thermally entangled.
