{"paper":{"title":"Beyond the Impulsive Approximation: The Dynamics and Radio Emission of Tidal Disruption Jets","arxiv_id":"2607.03548","primary_cat":"astro-ph.HE","submitted_at":"2026-07-03T18:16:06+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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months.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.06,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.41,"role_probabilities":{"gap":0.05,"method":0.0,"result":0.0,"background":0.95,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.62,"id":"s2","own":true,"role":"method","text":"We investigate how this sustained energy injection modifies the dynamics and radio emission of relativistic TDE jets using one- and two-dimensional relativistic hydrodynamic simulations coupled with synchrotron radiation calculations.","hedge":{"p":0.68,"label":"asserted"},"own_p":0.91,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.23,"role_probabilities":{"gap":0.0,"method":0.62,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.38,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"For a fixed total energy, fallback-powered jets drive slower forward shocks, producing delayed and systematically fainter radio emission.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.18,"quantitative":true,"quantitative_p":0.9,"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":0.94,"id":"s4","own":true,"role":"result","text":"We show that the impulsive approximation is valid only when the duration of energy injection is less than approximately ten percent of the deceleration time of an equivalent Blandford--McKee blast wave, a condition that is generally not satisfied for relativistic TDEs.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.32,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.06}},{"i":5,"p":0.94,"id":"s5","own":true,"role":"result","text":"As a result, continuously powered outflows are significantly less beamed than impulsive explosions, leading to a strong suppression of off-axis radio emission.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.17,"quantitative":true,"quantitative_p":0.83,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.06}},{"i":6,"p":0.77,"id":"s6","own":true,"role":"interpretation","text":"These results demonstrate that the radio evolution of relativistic TDEs retains memory of the central engine and cannot, in general, be described by an impulsive solution.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.72,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.23,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.77}},{"i":7,"p":1.0,"id":"s7","own":true,"role":"interpretation","text":"By substantially reducing the expected off-axis radio emission, sustained fallback-powered jets imply that relativistic jet production in tidal disruption events may be considerably more common than current radio observations suggest.","hedge":{"p":0.99,"label":"hedged_possibility"},"own_p":0.71,"main_claim_p":0.29,"quantitative":false,"quantitative_p":0.47,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":1.0}}]},"compiled":{"main_claim":{"p":0.86,"text":"These results demonstrate that the radio evolution of relativistic TDEs retains memory of the central engine and cannot, in general, be described by an impulsive solution.","location":"abstract s6","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per 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