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- W2040842037 abstract "Generic models of cosmological inflation and the recently proposed scenarios of a recycling universe and the string theory landscape predict spacetimes whose global geometry is a stochastic, self-similar fractal. To visualize the complicated causal structure of such a universe, one usually draws a conformal (Carter-Penrose) diagram. I develop a new method for drawing conformal diagrams, applicable to arbitrary 1+1-dimensional spacetimes. This method is based on a qualitative analysis of intersecting lightrays and thus avoids the need for explicit transformations of the spacetime metric. To demonstrate the power and simplicity of this method, I present derivations of diagrams for spacetimes of varying complication. I then apply the lightray method to three different models of an eternally inflating universe (scalar-field inflation, recycling universe, and string theory landscape) involving the nucleation of nested asymptotically flat, de Sitter and/or anti-de Sitter bubbles. I show that the resulting diagrams contain a characteristic fractal arrangement of lines." @default.
- W2040842037 created "2016-06-24" @default.
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- W2040842037 date "2005-06-24" @default.
- W2040842037 modified "2023-09-27" @default.
- W2040842037 title "Drawing conformal diagrams for a fractal landscape" @default.
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- W2040842037 doi "https://doi.org/10.1103/physrevd.71.123523" @default.
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