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Clarify frozen endpoint scope and gravity target interpretation

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Emily Boudreaux
2026-09-18 08:19:26 -04:00
parent 1d98fff171
commit 690c8ddc9a
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experiments/NONLINEAR_STEP_INVESTIGATION_2026-09-18.md
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@@ -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 1/512. Every trial prepared successfully; all nineteen rejections were
residual-decrease failures, and geometry never limited the step. 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, 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 26.23% closure, 15.87% surface, 10.43% gravity, and 5.05% mass. This motivates
examining retained-equation curvature after the gravity correction, rather examining retained-equation curvature after the gravity correction, rather
than assuming the earlier gravity or pressure-preparation failure persists. 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 Keep the complete physical equations, fixed normalization, optional
central-density specification (absent here), mesh, and acceptance thresholds central-density specification (absent here), mesh, and acceptance thresholds