# Results — FB-O1′: barrier class closed; overlap class has no exhibit

### FB-C14 · no Bohr-scale length · \(2pq\) clothing only · Franck–Condon mode ≠ \(U_0\) · reading stays **[M]** · no promote

**CPT Framework — FB-O1′ design / E0-SHARP / WOBBLE-P / C3-MODES**  
**Date:** 2026-09-17  
**Status:** **CONSIDERATION + PROBE** · `PASS_CLASS_RESTATED_FB_O1_PRIME_CLOSED_F` · barrier class **FB-C14 CLOSED F** · FB-O1′ **CLOSED F** · stiffness reading **[M] permanent** · no promote  
**Design:** `a_geom_p1_fb_o1_prime_overlap_class_design.md`  
**Parents:** `a_geom_p1_e0_coulomb_mass_reading_sharpen.md` · `free_neutron_eversion_wkb_barrier_tau_results.md` · `a_geom_p1_c3_lobe_normal_modes.md`  
**Probes:** `p1_fb_o1_prime_framing_exhibit_probe.py` · `p1_fb_o1_prime_overlap_class_results_probe.py`  
**Data:** `scripts/investigations/s3_geometry/data/p1_fb_o1_prime_framing_exhibit.json` · `.../p1_fb_o1_prime_overlap_class_results.json`

Tags: **[E honesty]** · **[E algebra]** · **[E process]** · **[Programme]** · **[M packaging]** · **[F overclaim]**

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## 0. One-line

> **The barrier-class hunt was the wrong class; the overlap class has no object.** \(E_0\propto 1/U_0\) cannot be a WKB action of height \(U_0\) (**FB-C14**). The restated residual needed a Bohr-scale length \(\ell_\star=(\sqrt3/4)R_C/\alpha=12.48\,\mathrm{fm}\) and an exhibit of \(2pq\). Task 2: **no** banked length (not \(3L_{\mathrm{knot}}\), not \(\pi L_{\mathrm{knot}}\)). Task 4: torus framing is *kind*, half-twists **FAIL_EXHIBIT**. Task 1: \(C_3\) mode quantum is not \(U_0\); 150 fm has no independent home. FB-O1′ **closes F**. The stiffness reading stands as permanent **[M]**. No \(\tau_n\) theorem. No promote.

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## 1. Class error (banked)

WKB \(\sim\sqrt{U}\), Kramers \(\sim U/T\), \(E_0\sim 1/U_0\). Incompatible. FB-C1…C10 plus Kramers/Larmor-as-\(P\) are **one** class error, recorded as **FB-C14 [CLOSED F as class]** (closeout **FB-C11** is already L14). \(S_{\mathrm{struct}}=46.23\) remains the only right-class near-miss (wrong measure).

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## 2. Task 2 — length audit **FAIL_EXHIBIT**

\(\ell_\star=E_0 R_C=12.4796\,\mathrm{fm}\). Tolerance on \(S\): \(1.17\%\) (\(\Phi\in[0.5,2]\)). Proof must be symbolic.

Extended audit (banked lengths only; \(E_0 R_C\) circular). **Zero** candidates at \(10^{-3}\). Pre-registered kills hold: \(3L_{\mathrm{knot}}\) \(\Delta S=-1.71\); \(\pi L_{\mathrm{knot}}\) \(\Delta S=+1.01\). \(R_C/\alpha=28.82\,\mathrm{fm}\) is the right *scale* and the wrong fraction (\(\sqrt3/4\) unexhibited). \(\hbar c/\Delta m_{np}\) is 150 fm-class, not \(\ell_\star\).

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## 3. Task 4 — \(2pq\) framing **PASS_AS_CLOTHING**

| Gate | Verdict |
|------|---------|
| F1 torus framing \(\mathrm{Lk}=pq\) vs blackboard \(p(q-1)=3\) | **PASS as kind** |
| F2 \(2\mathrm{Lk}\) even is generic | **FAIL_EXHIBIT** |
| F3 \(pq=1\Rightarrow N'/2\) vs Willmore \(3/(2\alpha)\) | **FAIL_EXHIBIT** (match needs dropping \(C_3\)'s \(\sqrt3\): a new formula) |
| F4 4π attempt vs \(L/c\) | **DECLARED_TENSION** (\(2L/c\Rightarrow\tau\simeq 1588\,\mathrm{s}\), \(\Phi\simeq 0.55\); do not take the 2 in \(S\) *and* keep \(T=L/c\) without declaring) |

Not a proof of the 2.

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## 4. Task 3 — \(S_{\mathrm{struct}}\) measure **wrong measure**

Implied harmonic path-mean \(\bar U=3.383\,\mathrm{MeV}=2.567\,U_0\), inside the D1 hump. Adversarial: \(\bar U=2U_0\), arithmetic mid-hump, harmonic endpoints, static \(U_0\) without the 2 — all **FAIL_NUM**. Recovering \(E_0\) from static \(U_0\) still needs the unexhibited 2. Not a derived measure.

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## 5. Task 1 — Franck–Condon **FAIL_EXHIBIT**

Claim \(\hbar\omega=U_0\) (\(\lambda=149.8\,\mathrm{fm}\)), \(E_{\mathrm{reorg}}=m_0/(2pq)\). \(C_3\) modes are \(39.3\,\mathrm{MeV}\) or \(4.92\,\mathrm{MeV}\), not \(U_0=1.318\,\mathrm{MeV}\). \(\hbar c/\Delta m\) is \(1.88\%\) off \(\hbar c/U_0\) (the static 1.9% split) and is not \(\ell_\star\). No independent 150 fm home. Using the named mode \(\omega\) does not give \(\lvert z\rvert^2=E_0\).

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## 6. Integrity

| Gate | Verdict |
|------|---------|
| FB-C14 barrier class closed | **PASS** |
| \(\ell_\star\) exhibited / \(2pq\) proved / FC mode \(=U_0\) | **NO** |
| FB-O1′ closed F; reading **[M]** | **PASS** |
| Zero-param \(\tau_n\) / promote / \(c\)-shop / \(U_0\)-as-barrier / round-trip 2 | **NO** |

**Exit:** `PASS_CLASS_RESTATED_FB_O1_PRIME_CLOSED_F`

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## 7. Licensed next

Do not re-enter the barrier graveyard. Do not mint a 12.48 fm length. Do not mill \(3L_{\mathrm{knot}}\) or \(\pi L_{\mathrm{knot}}\). The stiffness reading \(E_0=N/(2pq)\) stands **[M]**. Pair EOM parked. \(T(2,3)\) not proton mass. \(\alpha\) INPUT. \(a\) INPUT. Do not name \(R\). No hub dump.

**Looked into (17 Sep, LSTAR-CAND):** no paid new primitive for \(\ell_\star\) or the \(2\); area\(\times\)Bohr is a nickname (`a_geom_p1_lstar_new_primitive_candidates.md`).

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## 8. One-line for agents

> **§FB-O1′: barrier class FB-C14 CLOSED F; overlap class CLOSED F (no \(\ell_\star\), no FC mode); \(E_0\) reading stays [M]; chips OPEN; no promote.**