Specify matched live field-feedback trial for rotating n3 family

experiments/N3_COMPATIBLE_FAMILY_2026-09-19.md

@@ -36,6 +36,14 @@ eta=.03 and absolute nonlinear target 1e-12. The necessary beta bound is then
 a fraction of critical rotation. J already breaks the nonrotating n=3
 homology, so this case does not add an extra central-density phase condition.
 
+Before execution, the favorable frozen n=3 field-feedback result motivates
+one matched live companion using `stellar-ldu-gravity-schur`. It changes only
+the inverse and retains the original ten-update budget, eta=.03, trial path
+and physical specifications. The pair is versioned on
+`research/n3-live-field-feedback-20260919`; the main convergence report records
+the preceding evidence. No success or speedup is assumed from the frozen
+eta=.003, J=0, phase-constrained benchmark.
+
 The energy inequality's assumptions are not automatically satisfied by the
 discrete independent rho/P(h) fields, approximate gravity, or a central
 artificial forcing. This compatibility argument selects a sensible continuum