← NS-X72 / X72-59 · Endpoint Jost Positive Green Functional Theorem

NS-X72 · X72-59 Gap Closure 2026-08

X72-59: Endpoint Jost Positive Green Functional Theorem

Continuing from the bounded neutral Green/Jost endpoint gap left open by Round 58 (STOP-C62), this round addresses the positivity problem for the two-dimensional bounded Jost family at the singular endpoint ν=0. It rewrites this family as an affine-graph pullback, proves it is the unique contracting attractor, and, combining exact algebraic coefficient bounds with outward-rounding interval arithmetic, rigorously proves the central Green functionals c₀,₋>5.79 and c₀,₊>5.33, establishing the "Endpoint Positive Green Functional Theorem" and closing the endpoint-positivity sub-gap. The gap then shifts to the singular matching limit a₃(ν)/ν→c₀ (STOP-C63), left for the next round; this round includes numerical verification scripts.

This round's status: Gap Closure — Taken from the file's own objective/executive-result section, meaning preserved, not a full verbatim translation.

Connections

Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.

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