Integration Overview of Equivariant Arithmetic Obstructions

Equivariant Arithmetic Obstruction Integration v1.0 — The first integration milestone of six theoretical drafts and five engineering nodes (C1–C6), accompanied by evidence grading, a gap map, and full replay verification. This is the convergence point of the first phase of this research line, not the endpoint.

RH_CLAIM = False — The INTEGRATION_AUDIT.md within the package self-reports the highest evidence level as E3 (validated numerical certificate for a single function). Both the general positive semi-definiteness of the arithmetic matrix and the negativity of the complete zero side are marked as "unproven," reproduced here as-is. RH remains in an open state.

Connections

This package is the integration node of the first four semi-autonomous engineering packages (C3–C6) plus two AI autonomous track side-branch prototypes (C1–C2). The original six theoretical drafts and six original engineering packages are archived exactly as is under sources/, unmodified.

Next Node · v0.1Banded Multi-Test Functions and Adaptive Cover Certificate Families

Integration Target · C6Axis-Suppressed and Full-Window Leakage-Aware Optimizer

Integration Target · C5Zero-Side Leakage Budget

Integration Target · C4Validated Intersection Certificate

Integration Target · C3Separation-Positivity Intersection Solver

Integration Target · C2Arithmetic Matrix PSD (AI Autonomous Track)

Integration Target · C1Regional Phase Shaping (AI Autonomous Track)

Research Node Timeline

From metadata/timeline.json and metadata/research_nodes.json in the package, arranged in order, with links to all accessible nodes.

Integration Overview

Main Document — Unified notation, complete restatement from the decision layer to the analytic lifting layer, step-by-step integration of six engineering nodes, main theorem of integration conditions, evidence grading, GAP classification, the next main research node, and output to the AI autonomous platform.

Integration Audit

Independent Audit Document — Claim grading table, decisive failure signals, structural cost of axis suppression, and semantic boundaries that must be maintained (list of prohibited escalated terms).

Gap Map

From metadata/gap_map.json within the package, listing the current status and next steps for each of the eight gaps.

Files

The six theoretical drafts under sources/theory/ are verbatim copies, already published individually on the paper reading page; the six original engineering zips under sources/packages/ are also not listed individually. All are preserved unmodified in the complete zip.

Download Complete Package (1.99 MB)

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