On recovering continuum topology from a causal set

DOI10.1063/1.2435599zbMath1137.83329arXivgr-qc/0604124OpenAlexW3099467152MaRDI QIDQ3442239

David Rideout, Seth A. Major, Sumati Surya

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0604124

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Geometry and quantization, symplectic methods (81S10)

Related Items (13)

Spacetime is as spacetime does ⋮ Inference of boundaries in causal sets ⋮ A general theorem on temporal foliations of causal sets ⋮ Introduction to causal sets and their phenomenology ⋮ A temporal splitting theorem for chronological spaces ⋮ Linear structures, causal sets and topology ⋮ Echoes of asymptotic silence in causal set quantum gravity ⋮ Causal set topology ⋮ Spectral dimension on spatial hypersurfaces in causal set quantum gravity ⋮ Manifold properties from causal sets using chains ⋮ Non-modular lattices generated by the causal structure ⋮ The causal set approach to quantum gravity ⋮ Space-time singularities vs. topologies in the Zeeman-Göbel class

Uses Software

• Carpet

Cites Work

• Finarity substitute for continuous topology
• A domain of spacetime intervals in general relativity
• Complexes à automorphismes et homéomorphic différentiable
• Structure of random discrete spacetime
• Spatial hypersurfaces in causal set cosmology
• The Large Scale Structure of Space-Time
• Unnamed Item

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