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"outward_flow_enclosure_verified": false, "passed": true, "run_count": 12, "study_ledgers_reconstructed": true }, "parameters": { "g": 9.81, "l1": 1.0, "l2": 1.0, "m1": 1.0, "m2": 1.0 }, "proof_boundary": "This report compares reproducible finite numerical fields. Periodic resampling, energy diagnostics, and solver gates are not outward enclosures of the exact nonlinear flow. Grid and cadence studies assess numerical sensitivity; horizon continuation describes different declared protocols and is never a numerical pass/fail test. Common-grid filtrations concern only the scalar log-stretch field; sampled-turn masks remain categorical source-grid diagnostics and are never interpolated.", "resolution_study": { "interpretation": "All fields are compared after declared periodic bilinear transport to the common grid; this is a Tier-1 discretization study.", "reference_run": "resolution-side-17", "runs": [ { "comparison_to_highest_resolution": { "maximum_absolute_difference": 0.8484195356130222, "mean_signed_difference": -0.406267459125369, "pearson_correlation": 0.9215505757565956, "rms_difference": 0.4640648860975273, "threshold_overlap": [ { "candidate_active_count": 0, "intersection_count": 0, "jaccard": 1.0, "reference_active_count": 0, "threshold": 0.0, "union_count": 0 }, { "candidate_active_count": 0, "intersection_count": 0, "jaccard": 1.0, "reference_active_count": 0, "threshold": 0.25, "union_count": 0 }, { "candidate_active_count": 19, "intersection_count": 6, "jaccard": 0.08, "reference_active_count": 62, 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