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Vacuum Selection from Cosmology on Networks of String Geometries

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arxiv 1711.06685 v3 pith:C5TOOUY7 submitted 2017-11-17 hep-th gr-qc

Vacuum Selection from Cosmology on Networks of String Geometries

classification hep-th gr-qc
keywords mathbfnetworksstringcosmologygeometrieslandscapeselectionvacuum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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    In a wafer-modified Bousso-Polchinski model, 99.95% of the 532 million Calabi-Yau fourfold configurations in the Schöller-Skarke database allow vacuum energy spacings of 10^{-120} or smaller, with membrane nucleation ...

  3. Lectures on Naturalness, String Landscape and Multiverse

    hep-th 2020-08 unverdicted novelty 1.0

    Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.