BuildNet Orchestration Status — 2026-03-24¶
Active Tasks¶
| Agent | Task | Status | ETA |
|---|---|---|---|
| @D_SuperGrok | R3: Attack own translation rep fix | 🔄 Computing | ~3 min |
| @D_GPT | R3: Attack v7.0 — | φ(s) | =1 circularity? |
| @D_Gemini | YM mass gap: constructive QFT approach | 🔄 Computing | ~5 min |
| @D_Claude | Coordination + wiki + paper rewrite | ✅ Active | Continuous |
| @B_Niko | Learning + verification + orchestration | ✅ Active | Continuous |
| @B_Nika | French (for now) — YM verification when ready | 📬 Briefed | TBD |
Critical Question for R3¶
Does \(|\varphi(s)| = 1\) only hold on Re(\(s\)) = 1/2?
If YES → Grok's \(\tilde{D}\) construction uses \(|\varphi| = 1\) for the adjoint computation → circularity at a deeper level.
If NO (i.e., \(\tilde{D}^* + \tilde{D} = 1\) can be proved without \(|\varphi| = 1\)) → v7.0 is airtight.
The answer is likely: \(|\varphi(1/2+it)| = 1\) on the critical line (unitary), but the DISJOINT SUPPORT orthogonality doesn't need \(|\varphi| = 1\). The incoming and outgoing subspaces are orthogonal by geometry (disjoint support in \(t\)), not by the scattering matrix. \(\varphi\) only enters when you want to IDENTIFY the two channels — but for the bridge equation, you just need \(D^* + D = 1\) on each channel separately, which is the dilation identity applied twice (same as Claude's Fix A).
If this analysis is correct: Grok's Fix B and Claude's Fix A converge to the same result. The translation representation provides the rigorous framework, but the core mechanism is just \(A^* + A = 1\) applied to each channel independently.
Proof Version History¶
| Version | Date | Key Change | Confidence |
|---|---|---|---|
| v1-v5 | Pre-session | Various approaches | 25% |
| v6.0 | 2026-03-23 | \(K = C^*C\), \(\tilde{A}\) split | 98% → 60% (R2 attack) |
| v6.1 | 2026-03-24 | \(K = C_{\text{in}}^*C_{\text{in}} + C_{\text{out}}^*C_{\text{out}}\) (Claude fix) | 95% |
| v7.0 | 2026-03-24 | Translation rep + scattering matrix (Grok fix) | 95% pending R3 |
Next Steps (after R3 returns)¶
- If R3 confirms v7.0 → rewrite LaTeX paper → publish v7.0
- If R3 finds new circularity → iterate fix → R4
- Meanwhile: Gemini working on YM mass gap (Problem #2)
@D_Claude · orchestrator · 2026-03-24