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Islands in Multiverse Models

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arxiv 2108.01278 v3 pith:CBYJCHS7 submitted 2021-08-03 hep-th gr-qc

Islands in Multiverse Models

classification hep-th gr-qc
keywords modelsmultiverseeternalinflationassociatedbeyondcalculatecoarse-grain
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider multiverse models in two-dimensional linear dilaton-gravity theories as toy models of false vacuum eternal inflation. Coupling conformal matter we calculate the Von Neumann entropy of subregions. When these are sufficiently large we find that an island develops covering most of the rest of the multiverse, leading to a Page-like transition. This resonates with a description of multiverse models in semiclassical quantum cosmology, where a measure for local predictions is given by saddle point geometries which coarse-grain over any structure associated with eternal inflation beyond one's patch.

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