certify R5 first-leaf Hessian Krawczyk gates - #60
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Certify existence and uniqueness of the affine-Hessian graph root over the first frozen R5 tube leaf using 192-bit Arb interval arithmetic. Replace the dependency-inflated interval-subtraction remainder identified by R5-B1d with an explicit directional-Hessian Lagrange enclosure. The resulting forcing bound is approximately 2.2843e-27, and the frozen formal eta radius 1e-23 has a strictly positive Krawczyk self-map margin. The certificate is limited to leaf 0 on [-1e-12, -8.75e-13]. It does not certify the full R5 tube, does not run R6, does not perform normal K=1 residual recovery, and does not modify the frozen protocol or any prior scientific result.
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Certify existence and uniqueness of the affine-Hessian graph root over the first frozen R5 tube leaf using 192-bit Arb interval arithmetic.
Replace the dependency-inflated interval-subtraction remainder identified by R5-B1d with an explicit directional-Hessian Lagrange enclosure. The resulting forcing bound is approximately 2.2843e-27, and the frozen formal eta radius 1e-23 has a strictly positive Krawczyk self-map margin.
The certificate is limited to leaf 0 on [-1e-12, -8.75e-13]. It does not certify the full R5 tube, does not run R6, does not perform normal K=1 residual recovery, and does not modify the frozen protocol or any prior scientific result.