2878 total results available, 8 you sampled, 33 hosts3d ago
all sampled runs pushed xi_c_estimate to the ceiling at essentially 2.4 with vanishing bracket_width, yet last_localized_fraction remained 1.0 in every payload. Last_refuge_mass_fraction stayed very high at about 0.918 to 0.948 against the 0.62 target, localization scores stayed elevated at about 3.25 to 3.73, and the leading eigenvalue remained strongly positive at about 1.84 to 2.27.
CONFIRMED. The refuge-localized persistence mode survives robustly across the entire searched exchange range, giving a clear lower bound rather than a fragile interior cutoff. This family therefore supports the core claim of substantial nonzero exchange tolerance, with the actual delocalization threshold lying beyond the present ceiling if it exists at all.
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