{"paper":{"title":"Characterizing Signalling: Connections between Causal Inference and Space-time Geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A correspondence holds between conical space-times and faithful causal models, aligning their signalling constraints.","cross_cats":["math-ph","math.MP","math.ST","quant-ph","stat.TH"],"primary_cat":"gr-qc","authors_text":"Maarten Grothus, V. Vilasini","submitted_at":"2024-03-01T19:00:45Z","abstract_excerpt":"Causality is pivotal to our understanding of the world, presenting itself in different forms: information-theoretic and relativistic, the former linked to the flow of information, the latter to the structure of space-time. Leveraging a framework introduced in PRA, 106, 032204 (2022), which formally connects these two notions in general physical theories, we study their interplay. Here, information-theoretic causality is defined through a causal modelling approach. First, we improve the characterization of information-theoretic signalling as defined through so-called affects relations. Specific"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we prove a correspondence between conical space-times and faithful causal models: in both cases, there emerges a parallel between these two types of constraints.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The framework introduced in PRA, 106, 032204 (2022) is assumed to correctly and formally connect information-theoretic causality (via affects relations) with relativistic principles such as no superluminal signalling, allowing the embedding and correspondence results to follow. (Abstract, opening sentence: 'Leveraging a framework introduced in PRA, 106, 032204 (2022), which formally connects these two notions in general physical theories')","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Introduces the order-theoretic property of conicality for space-times and proves a correspondence between conical space-times and faithful information-theoretic causal models under no-superluminal-signalling constraints.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A correspondence holds between conical space-times and faithful causal models, aligning their signalling constraints.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ba6f85448cca34f72e8fe01905cb134a43dbe2688d2cb599c9404f7083fb1e6b"},"source":{"id":"2403.00916","kind":"arxiv","version":4},"verdict":{"id":"ebe26aa0-3106-4287-b802-8fe28791c859","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-24T03:00:45.235572Z","strongest_claim":"we prove a correspondence between conical space-times and faithful causal models: in both cases, there emerges a parallel between these two types of constraints.","one_line_summary":"Introduces the order-theoretic property of conicality for space-times and proves a correspondence between conical space-times and faithful information-theoretic causal models under no-superluminal-signalling constraints.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The framework introduced in PRA, 106, 032204 (2022) is assumed to correctly and formally connect information-theoretic causality (via affects relations) with relativistic principles such as no superluminal signalling, allowing the embedding and correspondence results to follow. (Abstract, opening sentence: 'Leveraging a framework introduced in PRA, 106, 032204 (2022), which formally connects these two notions in general physical theories')","pith_extraction_headline":"A correspondence holds between conical space-times and faithful causal models, aligning their signalling constraints."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.00916/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}