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This is a raw source document. Integrity tags [E] [M] [O] [F] are coloured for readability. Content is as written in the research file.

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]

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.

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).

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 \(\ell_\star\).

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.

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.

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 \(\lvert z\rvert^2=E_0\).

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

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).

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.
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