Combinatorial quantum gravity: geometry from random bits

DOI10.1007/JHEP09(2017)045zbMath1382.83046arXiv1610.05934MaRDI QIDQ1705935

Carlo A. Trugenberger

Publication date: 19 March 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.05934

zbMATH Keywords

models of quantum gravityrandom systems

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (11)

The Graph Curvature Calculator and the Curvatures of Cubic Graphs ⋮ Ollivier curvature of random geometric graphs converges to Ricci curvature of their Riemannian manifolds ⋮ Effective de Sitter space, quantum behaviour and large-scale spectral dimension \((3+1)\) ⋮ Dirac gauge theory for topological spinors in 3+1 dimensional networks ⋮ Topological network entanglement as order parameter for the emergence of geometry ⋮ The mass of simple and higher-order networks ⋮ Emergence of the circle in a statistical model of random cubic graphs ⋮ Self-assembly of geometric space from random 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

Cites Work

• Exact and asymptotic results on coarse Ricci curvature of graphs
• Ricci curvature of graphs
• The asymptotic safety scenario in quantum gravity
• Ricci curvature of Markov chains on metric spaces
• Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs
• Ricci curvature on polyhedral surfaces via optimal transportation
• The spin-foam approach to quantum gravity
• Statistical mechanics of complex networks
• String Theory and M-Theory
• Random Geometric Graphs
• Thermodynamics of Spacetime: The Einstein Equation of State
• Regge calculus: a brief review and bibliography
• Black Holes and Entropy
• Asymptotics and random matrices with row-sum and column sum-restrictions
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