{"paper":{"title":"Bouncing geodesics, black hole singularities, and singularities of thermal correlators","arxiv_id":"2603.15598","primary_cat":"hep-th","submitted_at":"2026-03-16T17:53:16+00:00","version_compiled":"v3"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v3","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"background","text":"Bouncing geodesics have been used as valuable probes of black hole singularities.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.05,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.94,"id":"s1","own":false,"role":"background","text":"In the dual boundary theory, the presence of bouncing geodesics is encoded in the analytic structure of correlation functions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.12,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.02,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.94,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.06}},{"i":2,"p":0.74,"id":"s2","own":false,"role":"interpretation","text":"Thus, when their existence is related to the presence of a black hole singularity, this presents a practical holographic framework to analyse, diagnose, and classify spacetimes with curvature singularities.","hedge":{"p":0.82,"label":"asserted"},"own_p":0.09,"main_claim_p":0.23,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.24,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.74}},{"i":3,"p":0.46,"id":"s3","own":true,"role":"method","text":"To make this intuition precise, we use the Hadamard theory of hyperbolic differential equations to prove that both bulk and boundary retarded propagators diverge whenever two points can be connected by a null geodesic.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.46,"result":0.34,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.2,"interpretation":0.0}},{"i":4,"p":0.93,"id":"s4","own":true,"role":"contribution","text":"We clarify why this statement remains valid beyond the geodesic regime (for operators of any dimension) and examine how holographic renormalisation modifies the structure of the dual propagator.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.93,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.93,"interpretation":0.01}},{"i":5,"p":0.98,"id":"s5","own":true,"role":"contribution","text":"We also present a general characterisation of bouncing geodesics and the associated singularities in correlation functions for arbitrary spacetimes.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.94,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":6,"p":0.95,"id":"s6","own":true,"role":"contribution","text":"Furthermore, we compare the analytic structure of the correlators in position and momentum space and discuss explicit examples.","hedge":{"p":0.77,"label":"asserted"},"own_p":0.92,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.31,"role_probabilities":{"gap":0.0,"method":0.05,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.95,"interpretation":0.0}},{"i":7,"p":0.59,"id":"s7","own":true,"role":"contribution","text":"Finally, we demonstrate the validity and concrete limitations of the bouncing geodesic approach to the study of black hole singularities.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.3,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.13,"background":0.0,"limitation":0.27,"future_work":0.0,"contribution":0.59,"interpretation":0.01}},{"i":8,"p":0.78,"id":"s8","own":true,"role":"result","text":"In particular, we show an explicit example of a black hole in the self-dual linear axion model, which has a curvature singularity despite the absence of bouncing geodesics.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.22,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.78,"background":0.0,"limitation":0.19,"future_work":0.0,"contribution":0.03,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.93,"text":"Finally, we demonstrate the validity and concrete limitations of the bouncing geodesic approach to the study of black hole 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