{"paper":{"title":"Strongly supercooled first-order phase transitions: monopole abundance, entropy production and homogeneity consistency","arxiv_id":"2611.14593","primary_cat":"hep-ph","submitted_at":"2026-11-10T09:52:32+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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radiation in terms of cosmological evolution.","hedge":{"p":0.66,"label":"asserted"},"own_p":0.66,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":1.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.52,"id":"s2","own":true,"role":"contribution","text":"We distinguish three criteria of phase-transition completion: the comoving measure completion (CMC) characterized by the eventual vanishing of the false-vacuum fraction (FVF), the physical volume completion (PVC) characterized by the eventual vanishing of the physical volume of false vacuum, and the asymptotic thermodynamic completion (ATC), which refers to the finiteness of total entropy production.","hedge":{"p":0.86,"label":"asserted"},"own_p":0.74,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.35,"role_probabilities":{"gap":0.0,"method":0.47,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.52,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"Assuming an idealized Friedmann-Lema\\^itre-Robertson-Walker (FLRW) cosmology, it is shown that the three criteria share exactly the same completion boundary, away from which they are completely equivalent.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.93,"main_claim_p":0.1,"quantitative":true,"quantitative_p":0.79,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"It is further shown that monopole abundance can be arbitrarily suppressed for parameter points approaching the completion boundary from the successful side.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.93,"main_claim_p":0.24,"quantitative":true,"quantitative_p":0.57,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":5,"p":0.8,"id":"s5","own":false,"role":"limitation","text":"Nevertheless, for parameter points too close to the completion boundary, justification of the self-consistency of a homogeneous FLRW cosmology is difficult.","hedge":{"p":0.53,"label":"asserted"},"own_p":0.48,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.16,"background":0.0,"limitation":0.8,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":6,"p":0.91,"id":"s6","own":true,"role":"result","text":"We propose the use of the Hubble-scale FVF root-mean-square fluctuation to diagnose the homogeneity consistency issue, and find that arbitrarily 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