# This cluster’s licensed routes are exhausted (not the residual)

### F5 mills STOP · Gap 3 negatives frozen · chips still OPEN · no promote

**CPT Framework — F5 / BQ / Gap 3 / EM-CR label split / AU-NOGO**  
**Date:** 2026-09-06  
**Status:** **CONSIDERATION** · `PASS_F5_BQ_G3_EXHAUST` · honesty freeze · not a \(\delta\) theorem · public chips OPEN · no promote  
**Stimulus:** User — we have pretty much exhausted all routes here; confirm  
**Parents:** F5-SUMA-0 · F5-QHC-0 · F5-BITI-0 · F5-NEW-PRINCIPLES · F5-Z2 · F5-MODE · F5-QF-NOGO · BQ-DESIGN · BQ-0 · G3-K-J1J2 · G3-T4-FF · Q-3D-POINT · EM-CR-FUNNEL (label split only)

Tags: **[E honesty]** · **[E process]** · **[Programme]** · **[O residual]**

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## 0. One-line

> **Yes, for this cluster: the licensed mills are exhausted.** F5 uniqueness on frozen R-HOPF has no remaining licensed selector (MODE / Z2 / QF / BITI / QHC / SUMA all STOP or FAIL). Gap 3 on BQ-0 currents is frozen on Darwin, \(e\) INPUT, B4, Newton. CIG / ITB / FSMC are already scored as *not* standalone \(\delta\) mills. **No:** the public Foot \(\delta\) / \(K/L\) chips are not closed, and hold / F2 / unnamed \(R\) are other books. Exhausted routes \(\neq\) derived \(\delta\). No promote.

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## 1. Which “here”

| In | Out |
|----|-----|
| F5 = Foot \(\delta\) on \(S^3\hookrightarrow S^7\to S^4\) | EM-CR Finding F5 (Reeb of \(\alpha_H\) on local \(S^3\)) |
| BQ \(\to J^\mu_{\mathrm{face}}\) and Gap 3 \(K[J_1,J_2]\) | One-seat hold, F2 \(L_*\), leftover \(R\) |
| Charge as 3-chart point of input \(e\) | Mint of \(e\) or \(\alpha\) |

The EM-CR funnel file is the label split, not a remaining F5 mill.

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## 2. Licensed F5 mills — all STOP or FAIL

| Slice | Verdict | Why it is not a remaining mill |
|-------|---------|--------------------------------|
| F5-RED / S-DROP | Axis unpaid; \(\Delta\theta\) illegal | Frozen |
| F5-MODE | **FAIL_IDENTIFY** | Zonal \(\Delta_{S^4}\): poles or equator |
| F5-Z2 | Equator \(90^\circ\), not Foot \(B\) | Native \(\mathbb{Z}_2\) midpoint |
| F5-QF-NOGO | Unique QF from looking at \(\delta\) | Packaging |
| Round-scalar \(SO(5)\) \(L\) | Schur no-go | F5-NEW-PRINCIPLES |
| **F5-BITI-0** | **STOP** | Homogeneous vacuum; index \(-1\) constants |
| BITI disturbance | Axis = source pole, not a latitude | Extra structure, not \(\delta\) |
| **F5-QHC-0** | **STOP** | Closure not unique; minimal torsion = equator |
| **F5-SUMA-0** | **STOP** | Forced \(S_M\); unique stable min = equator; S3 FAIL |
| CIG \(g=3\) | Rank 3; \(\theta=\pi/6=30^\circ\) | Already probed; dictionary is the whole problem; **not licensed as a \(\delta\) mill** |
| ITB transgression | Coordinate, not selector | Native \(1/3,1/2,2/3\) miss Foot \(B\) |
| FSMC | Pairing criterion | Nothing left to pair with after BITI/QHC/SUMA STOP |
| Hybrid \(k\), \(\alpha=\delta\), three masses | Immediate kills | Do not reopen |

**Finding E1 [E honesty].** Opening CIG or ITB *now* would be milling a known miss, which BQ-DESIGN already forbade. That is not a leftover licensed route.

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## 3. BQ / Gap 3 — negatives frozen, not a remaining mill

| Slice | Frozen result |
|-------|----------------|
| BQ-DESIGN | \(e\) INPUT; B1–B8 first; SUMA-0 needed S2–S3 (now STOP) |
| BQ-0 | Unique averaged \(J\) is the point monopole; ring \(\mu\) illegal |
| G3-K | Coulomb of \(H_1 H_2 e^2\); slow table Darwin \(\neq\) Weber |
| G3-T4 | Darwin-class \(O((a/R)^2)\) at \(R\sim\mathrm{few}\times a\); B4 kept on the point; ring FF is the kill |
| Q-3D-POINT / B4 | 3-chart object is a point, not a Euclidean loop of radius \(a\) |

Further Gap 3 on the same currents re-encounters Darwin uniqueness, \(e\) INPUT, B4, Newton. That was already the user’s prediction, and it stands.

Charge-ontology side (compression, stretch, bunching, 3-face edge) sharpened the *picture* of \(Q\); it did not mint \(e\) and is not an F5 selector.

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## 4. What this does *not* exhaust

| Residual | Status |
|----------|--------|
| Public Foot \(\delta\) / \(K/L\) | **OPEN** · chips unflipped |
| Continuum hold | **OPEN** · HOLD-PARK · other book |
| F2 \(L_*\) / hard join | **OPEN** · only L-NEW |
| Unnamed \(R_{\mathrm{eff}}\) | **Unnamed** |
| \(\alpha\) | **INPUT** |
| G4 bulk Green that *reproduces* Darwin on the face | Unpaid join, not this mill |
| A *new* named F5 principle that is not axis, holonomy, or \(S_M\) | Not exhibited; do not shop |

**Finding E2 [E process].** Exhausted *licensed routes on this skeleton* is compatible with the residual remaining OPEN. Do not flip chips because the mill stopped.

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## 5. Scoreboard

| Claim | Verdict |
|-------|---------|
| Licensed F5 mills on R-HOPF exhausted | **YES** |
| Licensed Gap 3 / BQ mills on BQ-0 currents exhausted | **YES** |
| Foot \(\delta\) derived | **NO** |
| Public chips flipped | **NO** |
| Whole programme exhausted (hold / F2 / \(R\)) | **NO** |
| Promote | **NOT APPROVED** |

**Exit:** `PASS_F5_BQ_G3_EXHAUST`

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## 6. Licensed next

None on this cluster. Do not mill CIG/ITB/zonal \(\Delta\)/hybrid \(k\)/more Gap 3 on the same currents. Do not unpark HOLD-PARK or DYN-PARK. Further F5 only with a *new* named principle that is not an axis, not holonomy closure, and not \(S_M\).

> **Looked into (6 Sep, two-seat manifest):** lab \(Q\) is a two-seat *reading*; one-seat current stands; not a remaining mill (`a_geom_charge_manifest_two_seat_consideration.md`).

HOLD-PARK / DYN-PARK stand. \(\alpha\) INPUT. Do not name \(R\).

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## 7. One-line for agents

> **§F5-BQ-G3-EXHAUST: licensed F5/BQ/Gap 3 mills on this skeleton are exhausted; Foot \(\delta\) chips stay OPEN; not hold/F2/\(R\); no promote.**