# Yang-Mills Receipts Reviewed receipts for the `sundog_v_yang_mills` finite-lattice certificate program live here. - P0 lock: [`../../prereg/yang-mills/P0_DOMAIN_AND_RECEIPT_LOCK.md`](../../prereg/yang-mills/P0_DOMAIN_AND_RECEIPT_LOCK.md) - Template: [`../RECEIPT_TEMPLATE.md`](../RECEIPT_TEMPLATE.md) - Roadmap: [`../../SUNDOG_V_YANG_MILLS.md`](../../SUNDOG_V_YANG_MILLS.md) - Lit-pass: [`../../YANG_MILLS_LITPASS_MEMO.md`](../../YANG_MILLS_LITPASS_MEMO.md) Filing convention: ```text YYYY-MM-DD___.md ``` where: - `` ∈ `U1_2D`, `SU2_2D`, `SU2_3D` - `` ∈ `phase1`, `phase2`, `phase3`, `phase4` - `` is a hyphen-joined verdict tag, e.g. `gauge_invariance_smoke_pos`, `metadata_only_null`, `gauge_leakage_quarantine`, `void_compute_cap`. Raw outputs live under `results/yang-mills////` and every receipt here must cite its raw result directory. No receipt is admitted unless it cites the P0 lock version and fills the [receipt template](../RECEIPT_TEMPLATE.md). ## Filed Receipts - [`2026-05-29_U1_2D_phase1_gauge_invariance_smoke_pos.md`](2026-05-29_U1_2D_phase1_gauge_invariance_smoke_pos.md) - `P1-A smoke_pass` for the Abelian `U1_2D`, 16x16, beta 1.0 gauge-randomization smoke. Instrumentation only; no non-Abelian or certificate claim. - [`2026-05-29_SU2_2D_phase1_gauge_invariance_smoke_pos.md`](2026-05-29_SU2_2D_phase1_gauge_invariance_smoke_pos.md) - `P1-A smoke_pass` for the non-Abelian `SU2_2D`, 16x16, beta 2.0 gauge-randomization smoke with Creutz / Kennedy-Pendleton heatbath plus Brown-Woch overrelaxation. Instrumentation only; no Phase 2 certificate claim. - [`2026-05-29_SU2_3D_phase1_gauge_invariance_smoke_pos.md`](2026-05-29_SU2_3D_phase1_gauge_invariance_smoke_pos.md) - `P1-A smoke_pass` for the non-Abelian `SU2_3D`, 8x8x8, beta 2.4 gauge-randomization smoke with three-plane signature averaging. Closes Phase 1 instrumentation across the registered ladder; no Phase 2 certificate claim. - [`2026-05-29_SU2_3D_phase2_no_rank_local_structure.md`](2026-05-29_SU2_3D_phase2_no_rank_local_structure.md) - `YM-P2-NEG-A no_rank_local_structure` for the non-Abelian `SU2_3D`, 12x12x12, beta slate `{2.0, 2.4, 2.8}` relative-locality v0 read. All ensemble health gates passed, but within-beta bin-purity@5 was `0.310416666667`, below the registered `0.5` promotion gate and only `0.010416666667` above `CTRL_RAND`. Named null; no Phase 3 artifact is admitted from this v0 run. - [`2026-05-29_SU2_3D_phase2_v1_no_rank_local_structure.md`](2026-05-29_SU2_3D_phase2_v1_no_rank_local_structure.md) - `YM-P2-NEG-A no_rank_local_structure` for the APE-smeared vocab v4 `SU2_3D`, 12x12x12, beta slate `{2.0, 2.4, 2.8}` v1 read on the same v0 ensembles. Smearing health and gauge-randomization gates passed, but within-beta bin-purity@5 was `0.29375`, below the registered `0.5` gate and `0.002083333333` below `CTRL_RAND`. Named null; no Phase 3 artifact is admitted from this v1 run. - [`2026-05-29_SU2_3D_phase2_v2_no_rank_local_structure.md`](2026-05-29_SU2_3D_phase2_v2_no_rank_local_structure.md) - `YM-P2-NEG-A no_rank_local_structure` for the bare connected- correlator vocab v5 `SU2_3D`, 12x12x12, beta slate `{2.0, 2.4, 2.8}` v2 read on the same v0 ensembles. Bin-edge replay and gauge- randomization gates passed, but within-beta bin-purity@5 was `0.308333333333`, below the registered `0.5` gate and only `0.020833333333` above `CTRL_RAND`. Named null; no Phase 3 artifact is admitted from this v2 run. - [`2026-05-29_SU2_3D_phase2_v3_no_rank_local_structure.md`](2026-05-29_SU2_3D_phase2_v3_no_rank_local_structure.md) - `YM-P2-NEG-A no_rank_local_structure` for the target-redesign v3 read: unchanged v1 bare signature, re-read from v0 CSVs, scored against new held-out target vocab v2 `sigma2_W33`. Signature hashes, target spread, edge timing, and gauge-randomization gates passed, but within-beta bin-purity@5 was `0.329166666667`, below the registered `0.5` gate and only `0.027083333333` above `CTRL_RAND`. - [`2026-05-29_SU2_3D_phase2_bounded_null_synthesis.md`](2026-05-29_SU2_3D_phase2_bounded_null_synthesis.md) - PAUSE-and-synthesize receipt for the four Phase 2 `SU2_3D` named nulls. Records the bounded cell-local null across three signature vocabularies and two target classes; no automatic v4 probe-ladder continuation is admitted without fresh external scientific motivation. The later v4 reopen therefore required a new dated diagnostic spec. - [`2026-05-31_SU2_3D_phase2_v4_underpowered.md`](2026-05-31_SU2_3D_phase2_v4_underpowered.md) - `YM-P2-UNDERPOWERED no_powered_target_in_envelope` for the reopened powered-target v4 audit. No candidate among `mean_W14`, `mean_W23`, `sigma2_W14`, `sigma2_W23`, and `ratio_W23_W14` was both powered and disjoint in all three beta values; `gamma_held` correctly failed the power self-validation. Quarantine-class, not a `NEG-A`; Stage 2 was not scored. - [`2026-05-31_SU2_3D_phase2_v5_polyakov_underpowered.md`](2026-05-31_SU2_3D_phase2_v5_polyakov_underpowered.md) - `YM-P2-UNDERPOWERED no_powered_target_in_envelope` for the symmetric Polyakov v5 audit. All candidates (`abs_mean_P`, `mean_abs_P`, `chi_P`) were disjoint, but none was powered in all three beta values; `gamma_held` correctly failed the power self-validation and Polyakov gauge residual max was `1.6653345369377348e-16`. Quarantine-class, not a `NEG-A`; Stage 2 was not scored. The registered continuation is finite-temperature v6. - [`2026-05-31_SU2_3D_phase2_v6_pilot_unbracketed.md`](2026-05-31_SU2_3D_phase2_v6_pilot_unbracketed.md) - `Z beta_peak_unbracketed` for the finite-temperature Polyakov v6 pilot. The locked grid `{6.0, 6.3, 6.55, 6.8, 7.1}` did not bracket the pilot `mean_chi_P` peak; it landed at beta `6.0`, the lower boundary. Void pilot; no finite-T ensembles, Stage 1 audit, or Stage 2 score were run. - [`2026-05-31_SU2_3D_phase2_v6a_finite_t_polyakov_neg_a.md`](2026-05-31_SU2_3D_phase2_v6a_finite_t_polyakov_neg_a.md) - `YM-P2-NEG-A no_rank_local_structure` for the amended finite-temperature Polyakov v6a run. The amended pilot froze beta slate `{6.3, 6.55, 6.8}`; `abs_mean_P` was powered and disjoint (mean ICC `0.964866`, mean leakage CV-R2 `-0.332186`); Stage 2 scored at/below controls (`PRIMARY@5 0.304167`, `CTRL_RAND 0.329167`, across-beta matching `CTRL_RAND_STRAT`).