Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.
Quantum creation of a universe in a nontrivial topology,
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On quantum creation of a toroidal universe
Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.