A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.
Space-time as a causal set
6 Pith papers cite this work, alongside 681 external citations. Polarity classification is still indexing.
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Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.
A fibre-bundle model with dual spacetimes (smooth manifold plus causal set) derives relative locality in general PQG theories without requiring momentum-space curvature.
LCC models observer consistency via coupled C and O operators on causal DAGs, producing a readability order that factors when ordering does not refine causality and placing classical results as (C,O) configurations.
Proposes a causal EPRL spin-foam model where the two-complex orientation encodes causality and aids semiclassical geometry reconstruction.
citing papers explorer
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On the Uniqueness of Embeddings of Causal Sets
A finite causal set from Poisson sprinkling cannot faithfully embed into two macroscopically distinct spacetimes; the two geometries are forced to agree up to an explicitly bounded approximate isometry that vanishes in the high-density limit.
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Ollivier-Ricci Curvature for Causal Sets
Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.
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Generalized relative locality and causal sets
A fibre-bundle model with dual spacetimes (smooth manifold plus causal set) derives relative locality in general PQG theories without requiring momentum-space curvature.
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Light Cone Consistency: Closure, Ordering, and the Single-Observer Boundary
LCC models observer consistency via coupled C and O operators on causal DAGs, producing a readability order that factors when ordering does not refine causality and placing classical results as (C,O) configurations.
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Causal structure in spin-foams
Proposes a causal EPRL spin-foam model where the two-complex orientation encodes causality and aids semiclassical geometry reconstruction.
- Characterizing Signalling: Connections between Causal Inference and Space-time Geometry