Abstract
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.
Highlights
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
We have considered toy multiverse models inspired by false vacuum eternal inflation
We found that in the semiclassical calculation of the Von Neumann entropy associated with a sufficiently large spacelike interval R in two-dimensional models, an island I develops covering most of the rest of the multiverse
Summary
[23, 24] and expand them to build two-dimensional de Sitter solutions with multiple flat, crunching, and expanding bubbles We borrow techniques developed in refs. [23, 24] and expand them to build two-dimensional de Sitter solutions with multiple flat, crunching, and expanding bubbles
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