| { |
| "certified_leaves_total": 237490, |
| "certified_volume_fraction": 1.0000000000000002, |
| "enclosure_mode": "centered", |
| "failure_regions": 0, |
| "family": "two_tight_pairs (nfill=0 core)", |
| "family_box": { |
| "d0_um": { |
| "hi": 60.0, |
| "lo": 25.0 |
| }, |
| "jog_mult": { |
| "hi": 0.4, |
| "lo": -0.4 |
| }, |
| "pt_mult": { |
| "hi": 1.2, |
| "lo": 1.0 |
| }, |
| "sep_mult": { |
| "hi": 4.5, |
| "lo": 2.5 |
| } |
| }, |
| "forced_pairwise_overprediction_basis": "sup_certified_k_hi", |
| "forced_pairwise_overprediction_pct": 10.000002061387825, |
| "geometry": { |
| "description": "Four parallel circular conductors forming two tight pairs. pitch = 1.6 * d0 * pt_mult; separation = pitch * sep_mult; jog = jog_mult * separation. Conductor centres at (0,0), (pitch,0), (separation,jog), (separation+pitch,jog); every conductor has diameter d0.", |
| "self_term_radius_scale": 1.0, |
| "units": "d0_um in micrometres; the multipliers are dimensionless" |
| }, |
| "honest_scope": "A complete interval theorem about the frozen MONOPOLE-CLOSURE model only. The closure-vs-BEM/PDE model gap remains additive and unresolved. This witness does not establish Maxwell, BEM, driven-S, fabrication, or measured-silicon truth.", |
| "k_bar": 0.9090909090909091, |
| "open_boxes": 0, |
| "parameters": [ |
| "d0_um", |
| "pt_mult", |
| "sep_mult", |
| "jog_mult" |
| ], |
| "processed_leaves_total": 474724, |
| "provenance": { |
| "partition_regions": 256, |
| "prover_wall_seconds": 243.5342594169997, |
| "schema": "genesis.family_impossibility.parallel.v1", |
| "source_sha256": "51c6f38f9d3d09b654886b2278ba86712596978b4ad1366ec96bcfcec2ff272c", |
| "source_witness": "family_two_tight_pairs_k10pct_parallel_2026_07.json", |
| "witness_content_sha256": "5b10e5a58013fa0e9bf9fb7900d885e4bd70e808bbad59e374d15a03be9ab2a3" |
| }, |
| "statement": "For every layout in the family box, the monopole-closure many-body screening factor satisfies k <= 0.909090909091. A pairwise-superposition extractor assumes k == 1, so it over-predicts the worst coupling by at least 10.0000% on every member of the family.", |
| "status": "THEOREM_CERTIFIED", |
| "sup_certified_k_hi": 0.9090908920546464 |
| } |
|
|
