Riemann Hypothesis AI Research Starting Point v1.2: Adaptive Continuation and One-Billionth Margin

The integration package includes the complete content of W-09 (as well as the continuation of two documents from W-08). Local adaptive continuation pushes the 15-dimensional lowest generalized spectral bottom to 10⁻⁹, and the exact verifier proves purely rationally that Q(c)>10⁻⁹c^TGc. The candidate distance to the log3=d+4h activation boundary is only about 9.67×10⁻⁵ — this is exactly the boundary that the subsequent W-10 "seventh-order soft activation" aims to precisely characterize.

CLOSED_FOR_ONE_LOCAL_CONTINUATION_POLICY — The phased status self-reported by the documents within the package, reproduced here as is. "This only proves positivity in a fixed 15-dimensional subspace and cannot imply RH."

Connections

Relationships with other packages, using the words from its own documents as much as possible, not my interpretation. The completely merged W-09 content in this package is identical to its independent page, and is not rendered again here.

Previous VersionResearch Starting Point v1.1 · Automated Search and Strict Refinement

Next VersionResearch Starting Point v1.3 · Prime Boundary Seventh-Order Soft Start

IncorporatedW-09

Research Starting Point Series12 / 23

"Next node: RH-W-10-PRIME-BOUNDARY-LOCAL-MODE. Instead of continuing to blindly suppress the spectral value, it fixes three states around log3=d+4h—before the boundary, on the boundary, and after the boundary—to study the unilateral effect of the newly entered prime-3 matrix block on the lowest mode." — Excerpt from Section 5 of the main document in this package.

v1.2 Core Content

Continuation content of this version, fixed candidate (h=87/400, d=117/512, N=15), strict results (complete enumeration of 24 prime powers), precision engineering (Binet/digamma signed remainders, 10⁻³² grid rational center), and preview of the next node.

Files

The complete RH_W_09_工程包_v0.1/ folder incorporated into this package is identical to the W-09 page; only the filenames are listed here for verification.

Download Complete Package (100.0 KB)

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