  Maldacena and Susskind have proposed a correspondence between wormholes and
entanglement, dubbed ER=EPR. We study this in the context of 3d topological
quantum field theory, where we show that the formation of a wormhole is the
same process as creating a particle-antiparticle pair. A key feature of the
ER=EPR proposal is that certain apparently entangled degrees of freedom turn
out to be the same. We name this phenomenon "fake entanglement", and show how
it arises in our topological quantum field theory model.
