Self-assembly of geometric space from random graphs

DOI10.1088/1361-6382/ab1c7dzbMath1503.83005arXiv1901.09870OpenAlexW3099032737WikidataQ127979897 ScholiaQ127979897MaRDI QIDQ3380452

Fabio Biancalana, Christy Kelly, Carlo A. Trugenberger

Publication date: 28 September 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09870

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Quantization of the gravitational field (83C45) Phase transitions (general) in equilibrium statistical mechanics (82B26) Transport processes in time-dependent statistical mechanics (82C70) Discrete version of topics in analysis (39A12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Euclidean rings and generalizations (13F07) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (6)

A flow in the forest ⋮ Effective de Sitter space, quantum behaviour and large-scale spectral dimension \((3+1)\) ⋮ Emergence of the circle in a statistical model of random cubic graphs ⋮ Building flat space-time from information exchange between quantum fluctuations ⋮ Emergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravity ⋮ The birth of geometry in exponential random graphs

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