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Research Starting Point · Milestone v1.0 2026-07-23 CERTIFIED_POSITIVE_ON_THIS_9D_SUBSPACE

RH AI Mathematical Engineering Milestone v1.0: Multi-Prime Chamber Compiler

The first official milestone of the entire research line. Includes W-06 and W-07: advancing from the first local coupling of the n=2 term to a nine-dimensional interval matrix of multiple prime-powers (2, 3, 4, 5, 7), activation maps, and exact positive-definite certificates. The milestone document summarizes the entire engineering chain in one sentence: de-claiming old drafts → GAP Atlas → valid test function core → Weil normalization → compact support separation → finite-dimensional attainability → real explicit formula interval matrix → prime-power support chamber compiler.

CERTIFIED_POSITIVE_ON_THIS_9D_SUBSPACE / RH_CLAIM = False — The conclusion boundary output by the package's README itself, reproduced here as-is. "RH not proven, no RH counterexample found."

Connections

Regarding its relationship with other packages, I try to use the words from its own documents as much as possible, not my interpretation. The contents of W-06 and W-07 fully merged into this package are identical to their respective independent pages and are not rendered again here.

"As the correlation support window moves along the logarithmic coordinates, prime powers will enter and leave. The discrete arithmetic terms can thus be represented as sparse coupling layers at specific logarithmic distances; the complete finite-dimensional form is M = A∞ + Σ P_p^k. This provides a discrete-continuous decomposition that subsequent AI searchers can directly manipulate." — Excerpt from "Key Observations of v1.0" in MILESTONE_v1.0.md of this package.

Full Text of Milestone Document

The established engineering chain, the seven replayable artifacts of v1.0, the main observation (the discrete-continuous decomposition of prime powers entering and leaving the support window), and a preview of the next stage (RH-W-08 Chamber Search and Rigorous Refinement).

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Files

The W-06 and W-07 document contents merged into this package are identical to their respective pages; only the filenames are listed here for verification.

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Download Full Package (66.3 KB)

sha256 49e45c559564f8a19bbc9a82d421647e490d4c62a9c88f8110ad21468cd5a766