From 690c8ddc9ac339ce9ee2cc4d9ef3366121050f4a Mon Sep 17 00:00:00 2001 From: Emily Boudreaux Date: Fri, 18 Sep 2026 08:19:26 -0400 Subject: [PATCH] Clarify frozen endpoint scope and gravity target interpretation --- experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md b/experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md index 3715e78..46181ac 100644 --- a/experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md +++ b/experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md @@ -43,10 +43,19 @@ all 31 auxiliary gravity solves passed, but the final nonlinear residual was 1/512. Every trial prepared successfully; all nineteen rejections were residual-decrease failures, and geometry never limited the step. +That campaign did not retain every raw Newton direction. The new late-state +probe computes a fresh direction at its saved final endpoint; it does not +claim to replay the preceding iteration's rejected trials. A plateau in a +bounded twelve-step run is also not proof that all subsequent steps must +fail. The fresh trial measurements can test that possibility. + The final squared-residual shares are approximately 42.42% hydrostatic, 26.23% closure, 15.87% surface, 10.43% gravity, and 5.05% mass. This motivates examining retained-equation curvature after the gravity correction, rather than assuming the earlier gravity or pressure-preparation failure persists. +The last auxiliary prepared defect, approximately 3.33e-14, measures agreement +with the affine gravity target, not satisfaction of the gravity equations. +The final gravity-block residual norm is approximately 4.51e-6. Keep the complete physical equations, fixed normalization, optional central-density specification (absent here), mesh, and acceptance thresholds