Fermionic Signatures of Antispacetime-spacetime Domain Walls

Abstract

Antispacetime arises naturally in the vielbein formulation of general relativity yet remains invisible to probes coupling only to the metric. We show that domain walls separating spacetime from antispacetime constitute physically distinct and observable structures. Fermions interacting with such walls exhibit striking signatures: scattering induces particle-hole conversion, reflecting tetrad orientation reversal, while the wall hosts localized zero-energy Majorana and chiral modes. In 1+1 dimensions, these modes acquire a pseudoscalar mass term tied to topology and quantum anomalies, providing a direct link to the observability of $θ$ vacua. These results identify fermionic response as a definitive probe of antispacetime and establish its domain walls as physically detectable.