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arXiv · 1711.06685

Vacuum Selection from Cosmology on Networks of String Geometries

Jonathan Carifio·William J. Cunningham·James Halverson·Dmitri Krioukov·Cody Long·Brent D. Nelson
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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 $-(\mathbf{L} + \mathbf{D})$, where $\mathbf{L}$ and $\mathbf{D}$ 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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Jonathan Carifio, William J. Cunningham, James Halverson, Dmitri Krioukov, Cody Long, Brent D. Nelson. 2018-09-05. Vacuum Selection from Cosmology on Networks of String Geometries. https://doi.org/10.1103/physrevlett.121.101602

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