RH-W-17: Chamber-Aware Slicing and Event Thin Layer

Fixing a 10-dimensional mixed-order Weil dictionary, it establishes the first parameter certificate crossing a spline knot event surface — the three closed intervals of the left chamber, the event thin layer, and the right chamber are all verified to have λ_min > 10⁻⁸.

RH_CLAIM = False — The claim status self-reported by the verification script within the package, reproduced here as is. This package neither proves nor disproves the Riemann Hypothesis.

Connections

Regarding its relationship with other packages, I try to use the words from its own documents, not my interpretation.

Belongs toResearch Starting Point v2.0 · Chamber-Aware Segmentation

Previous PackageRH-W-16: Three-Parameter Near-Zero Spectral Tube

Next PackageRH-W-18: Unified Certificate Backend and Single Verification Entry

Batch 0117 / 20

"The parameter tubes from RH-W-14 to RH-W-16 all require the entire parameter box to be located within the same spline polynomial chamber; once a ±log p^k sample might cross a spline knot, the old pipeline rejects the entire box." — Excerpt from the opening of the 01 document in this package, explaining which limitation it addresses.

Result Ledger · Result Ledger

Sourced from RH-W-17_subgaps_v0.1.csv within the package — reproduced item by item as-is. The status and evidence files are recorded by the package itself, not judgments added by me after the fact.

Reproduce

Verification (purely rational, no high-precision library required):

python verify_chamber_subdivision.py

Select high-precision cross-check (mpmath):

python crosscheck_w17_mpmath.py

Regenerate the four endpoint matrices (more expensive, supports point-by-point JSON caching):

python build_chamber_subdivision.py

01 · Chamber-Aware Slicing and Event Thin Layers

Main document — Methods, event equation, three-interval segmentation, and strict matrix certificate.

02 · Excursus: Multi-Regularity Central Knot Events

The algebraic forms of the same event across different correlation kernels (degree 3/5/7), and why the activation graph is insufficient to define chamber identity.

03 · GAP Updates and Batch 01 Progress

What this package closed, what it partially closed, and what open problems it still leaves.

Data

Two small data tables, directly from the CSVs in the package.

event_surface_catalog.csv

local_chamber_spectrum.csv

Files

Large certificate JSONs (chamber_subdivision_certificate.json, four point_d_*.json) and compilation caches are not listed individually; they are all in the complete zip file.

Download Complete Package (168.6 KB)

sha256 7035bbb7faaacee8d2b19b0301f0be101fd8a21307b7deb6031978cafcbfb802