Psychopomp
Depth reversal
A friendly guide of the souls whose role is not to judge, but simply to guide the newly deceased into the afterlife that awaits them. Although some of them might ask for some pocket change in return, so best come prepared.
Reverse depth probing reveals the shadows of stability which are situated where the orbit points used to be, but to where they can no longer return since here the escaping orbit points are no more than a hundred iterations from their final destination — infinity. The one-sided boundary beyond which our current mathematical methodologies cannot take us. It is of course no coincidence the shadows structurally resemble Julia sets since technically that's exactly what they are!