  We study a certain wormholing phenomenon that takes place in the
Koll\'ar--Shepherd-Barron--Alexeev (KSBA) compactification of the moduli space
of surfaces of general type. It occurs because of the appearance of particular
extremal P-resolutions in surfaces on the KSBA boundary. We state a general
wormhole conjecture, and we prove it for a wide range of cases. At the end, we
discuss some topological properties and open questions.
