Vacuum Selection from Cosmology on Networks of String Geometries

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Abstract

We introduce network science as a framework for studying the string landscape. Two large networks of string geometries are constructed, where nodes are extra-dimensional six-manifolds and edges represent topological transitions between them. We show that a standard bubble cosmology model on the networks has late-time behavior determined by the largest eigenvector of -(L+D), where L and D are the Laplacian and degree matrices of the networks, which provides a dynamical mechanism for vacuum selection in the string landscape.

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Carifio, J., Cunningham, W. J., Halverson, J., Krioukov, D., Long, C., & Nelson, B. D. (2018). Vacuum Selection from Cosmology on Networks of String Geometries. Physical Review Letters, 121(10). https://doi.org/10.1103/PhysRevLett.121.101602

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