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Research Starting Point v1.3 2026-07-23 LOCAL_ACTIVATION_LAW_CLOSED

Riemann Hypothesis AI Mathematical Engineering v1.3: Seventh-Order Soft Start of Prime Boundaries

The integration package includes the complete content of W-10 (along with two continuation documents from v1.2). v1.2 only records "approaching the log3=d+4h boundary"; v1.3 analytically resolves the boundary itself—precisely deriving p₃(μ)=-log3/√3·(μ₊/h)⁷/7!, proving that this is a seventh-order soft seam that is C⁶ but not C⁷, rather than a low-order corner, and correcting the intuitive interpretation that "approaching the boundary means prime-3 causes near-zero values."

LOCAL_ACTIVATION_LAW_CLOSED — The phased status self-reported by the documents within the package, reproduced here as is. "This is finite-dimensional mathematical engineering, not an RH proof."

Connections

For relationships with other packages, I try to use the words from its own documents, not my interpretation. The W-10 contents fully merged into this package are identical to its standalone page, and are not rendered again here.

"What the searcher found is the seam between the parameter geometry and the arithmetic support graph, but the local start-up order of the seam is determined by the test kernel. When using degree-7 autocorrelation, the entry effect of prime-3 is smoothly compressed by the seventh order. Therefore, 'approaching log3' cannot be directly interpreted as prime-3 causing the near-zero eigenvalue." — Excerpt from Section 4, "Interpretation Correction", of the main document in this package.

v1.3 Core Content

From v1.2 to v1.3, core formula derivation of this version, two 15-dimensional certificates before and after the boundary, explanation revision (overturning the intuition that "approaching the boundary is the cause of near-zero"), and the next GAP (kernel sensitivity order comparison).

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Files

The complete folder RH_W_10_工程包_v0.1/ merged into this package is identical to the W-10 page; only the filenames are listed here for verification.

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Download Complete Package (178.9 KB)

sha256 61705fe73d92e30688b777e2f9ee28f87016ed159925afa1157c4c01c78b17e5