Vacuum Selection from Cosmology on Networks of String Geometries

Jonathan Carifio, William J. Cunningham, James Halverson, Dmitri Krioukov, Cody Long, and Brent D. Nelson
Phys. Rev. Lett.
121, 101602
September 4, 2018

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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