Manifold properties from causal sets using chains

DOI10.1088/1361-6382/abc8c9zbMath1479.83020arXiv2007.03835OpenAlexW3111626931MaRDI QIDQ5162489

Nomaan X, Joachim Kambor

Publication date: 2 November 2021

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

Full work available at URL: https://arxiv.org/abs/2007.03835

zbMATH Keywords

scalar curvaturecausal setsgeometrical reconstructionmanifoldlikeness

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Equations of motion in general relativity and gravitational theory (83C10) Logic on admissible sets (03C70) Causal inference from observational studies (62D20)

Related Items (1)

Spacetime entanglement entropy: covariance and discreteness

Cites Work

• The causal set approach to quantum gravity
• The random discrete action for two-dimensional spacetime
• Stable homology as an indicator of manifoldlikeness in causal set theory
• Induced spatial geometry from causal structure
• DISCRETENESS WITHOUT SYMMETRY BREAKING: A THEOREM
• On recovering continuum topology from a causal set
• Gravity and matter in causal set theory
• Asymptotic Enumeration of Partial Orders on a Finite Set
• A new topology for curved space–time which incorporates the causal, differential, and conformal structures
• The class of continuous timelike curves determines the topology of spacetime
• Structure of random discrete spacetime
• Suppression of non-manifold-like sets in the causal set path integral
• Discrete spacetime: a web of chains
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