Recorded data and provenance for the associated calculation.
| experiment | kinetic-color-response |
|---|---|
| created_utc | 2026-10-09T23:48:18.963028+00:00 |
| status | passed |
| checks | 234 |
| scope | Positive principal-symbol plane-wave controls, not localized mass solutions or a strong-force sign derivation. |
View complete data
{
"experiment": "kinetic-color-response",
"created_utc": "2026-10-09T23:48:18.963028+00:00",
"status": "passed",
"checks": 234,
"cases": [
{
"real_depth": 2,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
0.0,
0.0,
0.0,
0.0
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 3,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
0.0,
0.0,
0.0,
0.0
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 4,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
0.0,
0.0,
0.0,
0.0
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 5,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
1.0821329717240808,
1.0808033419022798,
3.2292248392198806,
2.7914134150134924
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 6,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
2.813458017029826,
3.5677013269846514,
4.28706286176144,
0.9390896614384971
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 10,
"geometry": "positive full spatial principal-symbol branch",
"parameters": {
"sampled_unit_momenta": 4,
"source_chiralities_preserved": true
},
"measurements": {
"positive_branch_source_chiral_weights": [
"1/2",
"1/2"
],
"triplet_symbol_commutator_norms": [
3.114677662302024,
3.6702328161210422,
3.239742335511586,
4.19716294013296
],
"full_particle_solution_derived": false
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.5656971562088927,
-0.5716514615942967,
0.5943074405678226
],
"momentum_direction_b": [
0.8741027967378887,
0.3958108602385871,
0.2815636049850743
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.6432105934616079,
"averaged_pair_contact": 1.1783947032691962,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.7960512962126362,
-0.3224483209813304,
-0.5121810364456134
],
"momentum_direction_b": [
-0.623167930076423,
-0.06484811406426681,
0.7793949275088814
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.04584890198688717,
"averaged_pair_contact": 1.477075549006556,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.8471111396517106,
0.06258705713522188,
0.5277173271336961
],
"momentum_direction_b": [
0.9637790570861742,
0.0016366166414773086,
-0.26669692650657567
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.18010068432698306,
"averaged_pair_contact": 1.4099496578365092,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.28807209277436885,
-0.17649636457590953,
0.941203220700016
],
"momentum_direction_b": [
0.6079144535131823,
0.7808457115705522,
0.14394440569764025
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.0070914125084853155,
"averaged_pair_contact": 1.4964542937457574,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.8407591129172032,
0.16465687967901735,
-0.5157637308119357
],
"momentum_direction_b": [
-0.3193724244772835,
-0.8796537788246831,
0.3524350775433078
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.709254300443416,
"averaged_pair_contact": 1.1453728497782918,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.19076020227638266,
-0.3383665168215488,
0.9214763401854255
],
"momentum_direction_b": [
-0.9238642565050693,
0.33460791552993857,
-0.18577507480026761
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.11587854905394274,
"averaged_pair_contact": 1.4420607254730284,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.8769449567891502,
0.4406782106906581,
-0.19175572321199522
],
"momentum_direction_b": [
-0.5662030177737519,
0.814197509143246,
-0.1284389301140051
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.34430662679244606,
"averaged_pair_contact": 1.3278466866037766,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.8342452269763887,
-0.4711729143815241,
0.28641052009368423
],
"momentum_direction_b": [
0.7131839886144976,
-0.07530751592181907,
0.6969199211025621
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.15709635365223817,
"averaged_pair_contact": 1.4214518231738806,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.14112132517860354,
-0.94511563387248,
-0.2946883272029197
],
"momentum_direction_b": [
0.6971175834464779,
-0.658639930341754,
-0.2832322668926557
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.19670618120631267,
"averaged_pair_contact": 1.401646909396844,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.3653760021613014,
0.534821366502254,
-0.7618835101098372
],
"momentum_direction_b": [
-0.9746374473856698,
0.059582751149208975,
0.21571217378496968
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.3064258824039737,
"averaged_pair_contact": 1.3467870587980135,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.6788701617497153,
-0.47707729295369056,
-0.5581510190207433
],
"momentum_direction_b": [
-0.7154459578831137,
0.31979433719721856,
0.6211832766948138
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.21333892074105165,
"averaged_pair_contact": 1.3933305396294737,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 3,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.39063889305883287,
0.3526590612812725,
0.8503133785411008
],
"momentum_direction_b": [
0.8822405521427598,
0.41373812013132344,
0.22466057977544054
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.7141413904361967,
"averaged_pair_contact": 1.142929304781902,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.0911975185956558,
0.2883620267930482,
-0.9223241996887094,
0.24051699477247393
],
"momentum_direction_b": [
0.5658726833208226,
0.5608117012693026,
-0.5961975971457311,
0.0991300516915987
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.060833388593741926,
"averaged_pair_contact": 1.4695833057031287,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.5229242241828177,
0.7145649753115771,
0.23586855908423768,
0.40039127694829807
],
"momentum_direction_b": [
0.10274157435302053,
-0.9241423026217936,
0.1905182757487868,
0.3148141674227209
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.23951522454824858,
"averaged_pair_contact": 1.3802423877258758,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.30197483874064185,
-0.18389850812584224,
-0.5325966459901004,
0.76898202069798
],
"momentum_direction_b": [
-0.6426098281476815,
0.6201515422498671,
-0.18471639301392706,
0.4102980959802798
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.24039739747135883,
"averaged_pair_contact": 1.379801301264321,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.9305693729739141,
0.011248862632182976,
0.14212175241704597,
0.33721730777397335
],
"momentum_direction_b": [
-0.33707430170190245,
-0.761802167103785,
-0.5234462772200255,
0.17900382172637486
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.12454734756349645,
"averaged_pair_contact": 1.4377263262182503,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.6164881816862569,
0.44738399519604805,
0.6418233354609034,
0.08861539788002916
],
"momentum_direction_b": [
0.5703304963414741,
-0.4150015849889845,
0.6265868897990156,
-0.3314900887379816
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.6422159216715729,
"averaged_pair_contact": 1.1788920391642133,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.15321032465231985,
0.022731522178514416,
-0.41598962916617593,
-0.896081750034876
],
"momentum_direction_b": [
0.3570649878104354,
-0.5003244400607064,
-0.35407891139080844,
0.7048462056833209
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.5533371286716824,
"averaged_pair_contact": 1.223331435664159,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.5751077193291153,
0.09287240168268573,
-0.8117695511883367,
-0.040694274010477725
],
"momentum_direction_b": [
-0.27065033954472273,
-0.696965064731037,
-0.6602725897229307,
0.07090979840164613
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.5101617004530006,
"averaged_pair_contact": 1.2449191497734997,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.01810199896641046,
0.7732440043976542,
0.6336765195454325,
0.014835628510035342
],
"momentum_direction_b": [
-0.13073846328419222,
-0.3136195604320852,
0.2418973384964419,
-0.9088651732577344
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.43846454036989985,
"averaged_pair_contact": 1.2807677298150502,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.3374909078439792,
0.21777771093851134,
-0.1988057759086071,
-0.893951351700083
],
"momentum_direction_b": [
-0.9671071441016814,
0.177649506984992,
-0.16102283114775492,
0.08494746814732394
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.04979473170320479,
"averaged_pair_contact": 1.475102634148398,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.3271478823065307,
0.6452559814914134,
0.6755552555532913,
0.14228168591295384
],
"momentum_direction_b": [
-0.5573435365076925,
-0.44577778156712256,
-0.22055309108029944,
0.6648358337131943
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.33981282091736065,
"averaged_pair_contact": 1.3300935895413197,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
-0.5536528051349408,
0.3793818237510467,
-0.6578084331635676,
-0.34179828617538915
],
"momentum_direction_b": [
-0.6086483826420132,
-0.34775396864024316,
-0.5547246945861252,
-0.44821293691565006
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.16574340813238925,
"averaged_pair_contact": 1.4171282959338054,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
},
{
"real_depth": 4,
"geometry": "independently directed positive kinetic spin-color patterns",
"parameters": {
"momentum_direction_a": [
0.13063497417680514,
-0.2982379030106186,
0.9384476184645345,
-0.11534610582025548
],
"momentum_direction_b": [
-0.35232978951512123,
-0.1016898697954122,
0.1457048895807213,
0.9188541641378637
],
"relative_phase_uniform_average": true,
"spin_preparation": "independent identity over each positive two-spin branch"
},
"measurements": {
"color_overlap_squared": 0.22124653661778468,
"averaged_pair_contact": 1.3893767316911079,
"exact_pair_operator": "(3 I-swap_color)/2=(4/3)I-sum T_A tensor T_A",
"color_casimir_coefficient": -1
}
}
],
"scope": "Positive principal-symbol plane-wave controls, not localized mass solutions or a strong-force sign derivation.",
"sources": {
"experiments/kinetic-color-response-checks.py": "8bb4fb9745b260b97059114e30a1f08a439c75ff8f4ab20c2313d2685a1f8ea3",
"experiments/hodge-color-current-checks.py": "085653a3b0ec27ae8d18bb7d25fb9397706bc6d52ff15f98ec4bb0c74151d60f",
"experiments/normal-color-kinetics-checks.py": "15e50b931c5d5d468a43cbd65b3ea8e17f271e5ce6d69c7054000a84e5514a43",
"experiments/spinor-hodge-source-checks.py": "c1a9212b8dd1f0e9e525e36db80c322b9487986ca656aa028c2a4cbb8456b38e"
}
}