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Abstract

We give a quantitative local correction and a form-domain continuation method for the complete odd Weil form. On the support |u|<(1/2)log 8 we verify a positive scalar floor together with a 3×10^(-11) directional floor along the normalized first-collar polar profile. The sharp coefficient of that profile lies between 3×10^(-11)+10^(-40) and 5.641396988×10^(-11). The lower certificate compresses to every intermediate support between (1/2)log 7 and (1/2)log 8. For a compact physical source with a certified gap, we construct an explicit logarithmic Fourier reference and a finite inverse upper using form-core trials and exterior and constraint annihilators. The resulting certificates are complete at every strict finite cap. A rational example exhibits a strict cap certified by the completed receiver although every fixed-extension primal trial fails. Directional inverse metrics, exact polar elimination and portable interval and rational verification provide the local application and its continuation inputs.