{"paper":{"title":"Quantum critical collapse in the large $D$ limit","arxiv_id":"2610.20705","primary_cat":"gr-qc","submitted_at":"2026-10-14T18:00:00+00:00","version_compiled":"v1"},"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. 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control may appear threatened as the spacetime dimension $D\\to\\infty$.","hedge":{"p":0.68,"label":"asserted"},"own_p":0.18,"main_claim_p":0.15,"quantitative":false,"quantitative_p":0.28,"role_probabilities":{"gap":0.01,"method":0.0,"result":0.09,"background":0.8,"limitation":0.04,"future_work":0.0,"contribution":0.0,"interpretation":0.06}},{"i":2,"p":0.88,"id":"s2","own":true,"role":"contribution","text":"We study this quantum growing mode in both continuously (CSS) and discretely (DSS) self-similar critical spacetimes at large $D$ and establish that the universal Lyapunov exponent survives both forms of self-similarity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.51,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.12,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.88,"interpretation":0.0}},{"i":3,"p":0.81,"id":"s3","own":false,"role":"result","text":"In CSS, the classical approach to a naked singularity is interrupted by the appearance of trapped surfaces.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.28,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.81,"background":0.16,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.01}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"At large $D$, the horizon tracing reduces to a Bessel problem, yielding a quantum wall whose radius obeys $r_h\\propto(D-2)^{-2}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.83,"main_claim_p":0.13,"quantitative":true,"quantitative_p":0.9,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":5,"p":0.47,"id":"s5","own":true,"role":"limitation","text":"This radius can remain above the Planck scale at finite $D$, although maintaining this hierarchy becomes increasingly demanding as $D$ grows.","hedge":{"p":0.86,"label":"hedged_possibility"},"own_p":0.58,"main_claim_p":0.07,"quantitative":true,"quantitative_p":0.79,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.31,"background":0.0,"limitation":0.47,"future_work":0.0,"contribution":0.0,"interpretation":0.22}},{"i":6,"p":0.95,"id":"s6","own":true,"role":"result","text":"In DSS, the same growth is modulated by echoing and can retain memory of previous echoes.","hedge":{"p":0.79,"label":"asserted"},"own_p":0.59,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.95,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":7,"p":0.47,"id":"s7","own":false,"role":"background","text":"The simplest anomaly-induced action exhibits accumulating memory but is singular at the spherical center.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.28,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.03,"method":0.01,"result":0.33,"background":0.47,"limitation":0.14,"future_work":0.0,"contribution":0.01,"interpretation":0.01}},{"i":8,"p":0.87,"id":"s8","own":true,"role":"contribution","text":"We construct a covariant one-loop action whose stress tensor remains smooth throughout the DSS domain and organize it into an echo-periodic structure without memory.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.2,"quantitative":false,"quantitative_p":0.18,"role_probabilities":{"gap":0.0,"method":0.1,"result":0.03,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.87,"interpretation":0.0}},{"i":9,"p":1.0,"id":"s9","own":false,"role":"interpretation","text":"This suggests that the smooth vacuum polarization of the genuine four-dimensional DSS Choptuik spacetime may similarly be governed by its exact 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