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Research Starting Point v1.7 2026-07-23 RH_CLAIM = False

RH AI Research Starting Point v1.7: Strict Two-Dimensional Parameter Tube

The integration package includes the complete contents of W-14. It expands the 10-dimensional near-zero single-point certificate of v1.6 into the first continuous 2D parameter tube: fixing h, it proves 10⁻⁸<λmin(M(d,σ),G(d,σ))<5×10⁻⁸ for the entire (d,σ) rectangle (radius 4×10⁻¹²). Conservativeness finding: the tube width is primarily limited by the conservativeness of the certificate, not by observed spectral instability.

RH_CLAIM = False — Self-reported fields from the files in the package, reproduced here as-is. "This version only proves a continuous near-zero positive spectral band on a fixed 10-dimensional mixed B-spline subspace. It does not prove RH, nor does it provide a counterexample to RH."

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 content of W-14 fully merged into this package is identical to its independent page and is not rendered again here.

"High-precision samples show that the actual drift of the lowest spectrum within the tube is only about 2×10⁻¹⁶, but the global exact envelope must reserve a matrix perturbation of about 2.3×10⁻⁸. Therefore, the current tube width is primarily limited by the conservatism of the certificate, not by the observed spectral instability." — Excerpt from the "Conservatism Discovery" section in the main document of this package.

v1.7 Core Content

New in this version (2D parameter tube certificate), main methodology (seven steps), chamber stability, conservativeness findings, certificate status, declaration boundaries, and next node (RH-W-15 Interval-Taylor Expansion).

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Files

The complete RH_W_14_工程包_v0.1/ folder merged into this package is identical to the W-14 page; only the filenames are listed here for verification.

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Download Full Package (562.2 KB)

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