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Research Starting Point v0.5 2026-07-23 NORMALIZATION_CLOSED

Riemann Hypothesis AI Research Starting Point v0.5: Weil Normalization Closure

The integration package itself contains no new documents; it is a checkpoint snapshot of the contents of the three packages W-01 v0.2, W-02 v0.1, and W-02 v0.2 at this moment. The README condenses the three-layer results into a single core interface: Q_B0(g) = -E_B0[C_g] = W[C_g] = ⟨g,g⟩_W —— the signs of Clay arithmetic negativity and Lagarias-Weil positivity on the endpoint zero core have been precisely aligned.

NORMALIZATION_CLOSED — The phased status self-stated in the package's README, reproduced exactly as is. "This version still does not contain an RH proof." The next research node is RH-W-03-SEPARATION: whether off-axis zeros inevitably generate negative witnesses in compactly supported double vanishing moment kernels.

Connections

Regarding its relationship with other packages, I try to use the words from its own documents, not my interpretation. The content completely merged into this package is identical to their respective independent pages and is not rendered repeatedly here.

"This version integrates the results of the previous two rounds into three layers: RH-W-01 double vanishing moment generating family and correlation closure; RH-W-02 exact range of the generating operator, kernel topology, and L2 failure witnesses; RH-W-02-NORMALIZATION exact sign alignment of Clay arithmetic negativity and Lagarias Weil positivity on the endpoint zero kernel." — Excerpted from the README of this package.

Files

All document contents in this package are identical to the respective pages of W-01 v0.2, W-02 v0.1, and W-02 v0.2; only the filenames are listed here for verification, without repeating the rendering or download links.

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