Recorded data and provenance for the associated calculation.
| experiment_key | continuous-count-wave-complete-ground-bound |
|---|---|
| created_utc | 2026-10-12T11:28:00.709362+00:00 |
| evaluations | 184 |
View complete data
{
"experiment_key": "continuous-count-wave-complete-ground-bound",
"created_utc": "2026-10-12T11:28:00.709362+00:00",
"sources": {
"experiments/continuous-count-wave-bound.py": "63b1a46f7ee7377381768101f4459eb1c952ab1f081fcadb5095cc6b55f59564",
"experiments/minimal-count-carrier.py": "c32f6a998a844bbccd3bc46483a551addf224b2b254f7b6d218a8fd0ca87ad2b",
"experiments/convex-count-envelope.py": "6650f29a11b56cf16794e50c809fb92cf6a25829453698095912b357307ad8d0",
"experiments/forward-count-action.py": "5f1dd9a03cf8e6b07a56d507791fed8ff859f10abf22bb755c60c3bd1ed6d909",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 184,
"conditions": {
"the exact ground geometric band has one count per seed": 6,
"the logarithmic count derivative gives the uniform pair bound": 6,
"one common ground polarization has a nonnegative complete scalar Hessian": 6,
"the exact scalar source norm fits the full negative spectral gap": 6,
"the common ground control satisfies the positive-wave pair condition exactly": 6,
"the ground spatial operator has disjoint signed spectral branches": 6,
"actual minimal spatial fields give the exact normalized scalar-source direction": 24,
"the full real source derivative has exactly the claimed operator norm": 24,
"the complete real source derivative is positive on the actual minimal carrier": 24,
"arbitrary complex-field directions obey the full positive source bound": 48,
"every assigned positive count product obeys the exact logarithmic derivative inequality": 14,
"one diagnostic scale gives the assigned pair criterion without individual tuning": 14
},
"maximum_errors": {
"actual minimal spatial fields give the exact normalized scalar-source direction": 1.6653345369377348e-16,
"the full real source derivative has exactly the claimed operator norm": 2.917374371277784e-16
},
"sectors": [
{
"depth": 2,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "2/5",
"source_norm_q_exact": "2/15",
"negative_gap_capacity_exact": "38/15",
"pair_condition_exact": "13/25",
"assigned_diagnostic_ground_c_exact": "9/1910",
"assigned_diagnostic_ground_q_exact": "-3647857/17190",
"ground_bound_applies_at_assigned_diagnostic_scale": false,
"common_ground_control_supports_all_assigned_levels": false
},
{
"depth": 3,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "18/55",
"source_norm_q_exact": "137/45",
"negative_gap_capacity_exact": "239/55",
"pair_condition_exact": "1737/3025",
"assigned_diagnostic_ground_c_exact": "33/740",
"assigned_diagnostic_ground_q_exact": "3845179/146520",
"ground_bound_applies_at_assigned_diagnostic_scale": true,
"common_ground_control_supports_all_assigned_levels": false
},
{
"depth": 4,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "36/125",
"source_norm_q_exact": "36/7",
"negative_gap_capacity_exact": "2284/375",
"pair_condition_exact": "1881/3125",
"assigned_diagnostic_ground_c_exact": "5/529298",
"assigned_diagnostic_ground_q_exact": "2521407355361/9262715",
"ground_bound_applies_at_assigned_diagnostic_scale": true,
"common_ground_control_supports_all_assigned_levels": false
},
{
"depth": 5,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "36/137",
"source_norm_q_exact": "23741/3375",
"negative_gap_capacity_exact": "3209/411",
"pair_condition_exact": "290421/469225",
"assigned_diagnostic_ground_c_exact": "411/8251220",
"assigned_diagnostic_ground_q_exact": "28969159721456377/381515784750",
"ground_bound_applies_at_assigned_diagnostic_scale": true,
"common_ground_control_supports_all_assigned_levels": false
},
{
"depth": 6,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "12/49",
"source_norm_q_exact": "1282/145",
"negative_gap_capacity_exact": "466/49",
"pair_condition_exact": "5407/8575",
"assigned_diagnostic_ground_c_exact": "441/369251500",
"assigned_diagnostic_ground_q_exact": "12952933673967834101/3148238289000",
"ground_bound_applies_at_assigned_diagnostic_scale": true,
"common_ground_control_supports_all_assigned_levels": false
},
{
"depth": 10,
"common_ground_c_exact": "3/5",
"common_ground_epsilon_exact": "1512/7381",
"source_norm_q_exact": "762206/48309",
"negative_gap_capacity_exact": "359978/22143",
"pair_condition_exact": "81095463/123816275",
"assigned_diagnostic_ground_c_exact": "183/4940030120",
"assigned_diagnostic_ground_q_exact": "180112966137216518350319/727876140954594",
"ground_bound_applies_at_assigned_diagnostic_scale": true,
"common_ground_control_supports_all_assigned_levels": false
}
],
"assigned_pair_criteria": [
{
"particle": "W",
"depth": 2,
"index": 76,
"pair_condition_exact": "316017/3648100"
},
{
"particle": "Z",
"depth": 2,
"index": 81,
"pair_condition_exact": "358677/3648100"
},
{
"particle": "Higgs",
"depth": 2,
"index": 95,
"pair_condition_exact": "492489/3648100"
},
{
"particle": "down",
"depth": 3,
"index": 1,
"pair_condition_exact": "1737/547600"
},
{
"particle": "strange",
"depth": 3,
"index": 4,
"pair_condition_exact": "20421/136900"
},
{
"particle": "up",
"depth": 4,
"index": 3,
"pair_condition_exact": "50661/7003909320100"
},
{
"particle": "charm",
"depth": 4,
"index": 20,
"pair_condition_exact": "687397789/7003909320100"
},
{
"particle": "top",
"depth": 4,
"index": 72,
"pair_condition_exact": "1103079238209/7003909320100"
},
{
"particle": "nu1",
"depth": 5,
"index": 10,
"pair_condition_exact": "10419373449/17020657872100"
},
{
"particle": "nu2",
"depth": 5,
"index": 15,
"pair_condition_exact": "691181637921/68082631488400"
},
{
"particle": "nu3",
"depth": 5,
"index": 22,
"pair_condition_exact": "2756274972489/17020657872100"
},
{
"particle": "electron",
"depth": 6,
"index": 13,
"pair_condition_exact": "3140375793129/136346670252250000"
},
{
"particle": "muon",
"depth": 6,
"index": 35,
"pair_condition_exact": "224929393009533/1363466702522500"
},
{
"particle": "tau",
"depth": 10,
"index": 23,
"pair_condition_exact": "346942448721741936771/2030099230477568897900"
}
],
"limits": [
"the all-spatial conclusion additionally uses the self-adjoint spectral Schur proof",
"the conclusion excludes exponential linear growth and does not remove zero or secular directions",
"ground controls do not establish assigned excited-field persistence",
"the common ground c=.6 scale cannot support the maintained high assigned levels",
"the original continuous constitutive source is used on its locally smooth domain",
"finite spatial samples check algebraic source bounds, not global nodelessness"
]
}