Network Cosmology

Abstract

Prediction and control of the dynamics of complex networks is a central problem in network science. Structural and dynamical similarities of different real networks suggest that some universal laws might accurately describe the dynamics of these networks, albeit the nature and common origin of such laws remain elusive. Here we show that the causal network representing the large-scale structure of spacetime in our accelerating universe is a power-law graph with strong clustering, similar to many complex networks such as the Internet, social, or biological networks. We prove that this structural similarity is a consequence of the asymptotic equivalence between the large-scale growth dynamics of complex networks and causal networks. This equivalence suggests that unexpectedly similar laws govern the dynamics of complex networks and spacetime in the universe, with implications to network science and cosmology.

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Cited by in corpus (7)

• Emergent Complex Network Geometry
• Emergence of Soft Communities from Geometric Preferential Attachment
• Dimensionality of social networks using motifs and eigenvalues
• Supersymmetric multiplex networks described by coupled Bose and Fermi statistics
• Clustering Spectrum of scale-free networks
• Emergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravity
• The Pendulum Arrangement: Maximizing the Escape Time of Heterogeneous Random Walks