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[ref] for early universe production of primordial eBHs and Refs. [ref] for recent reviews of primordial uncharged BH production), the immediate questions are how abundant MeBHs can be in the current Universe and how to detect them, which will be the main topics of this paper.","intent_p":0.96,"contests_p":null},{"arxiv_id":"2302.07002","title":"Gravitational capture of magnetic monopoles by primordial black holes in the early universe","url":"/paper/2302.07002","section":"Introduction","sentence":"Other solutions to the monopole problem include inverse symmetry breaking or symmetry nonrestoration effect in finite-temperature field theory [ref] , eliminating the monopoles by domain walls which subsequently decay or get destroyed [ref] , entropy production effects [ref] , and gravitational capture by primordial black holes (PBHs) which evaporate prior to BBN [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2605.20332","title":"Model-Building Implications from Light Magnetic Monopoles: A Case Study of Flavour Deconstruction","url":"/paper/2605.20332","section":"Introduction","sentence":"Other solutions to the monopole problem have been proposed (see e.g. [ref] ), at the cost of introducing further BSM structure and hypotheses.","intent_p":0.88,"contests_p":null},{"arxiv_id":"2605.21281","title":"Self-Consistent Parker Bound on Magnetic Monopoles","url":"/paper/2605.21281","section":"Introduction","sentence":"Cosmological phase transitions [ref] can produce them through the Kibble or Kibble-Zurek mechanism [ref] , with their surviving abundance determined by phase transition dynamics and defect evolution [ref] .","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":38},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[{"relation":"contradicts","label":"States a conflicting result","papers":[{"arxiv_id":"2308.07166","url":"/paper/2308.07166","title":"Magnetic monopole meets primordial black hole: an extended analysis","main_claim":"Therefore, the monopole problem cannot be solved by PBH capture in a radiation-dominated era in the early universe.","p":0.99}]}],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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