Recorded data and provenance for the associated calculation.
| experiment_key | balanced-monogenic-count-beams |
|---|---|
| created_utc | 2026-10-12T10:03:04.782065+00:00 |
| evaluations | 2114 |
View complete data
{
"experiment_key": "balanced-monogenic-count-beams",
"created_utc": "2026-10-12T10:03:04.782065+00:00",
"sources": {
"experiments/balanced-count-beams.py": "5dc135a2da86d32000c4e73836526f2bfb01360da075cb0cb1985fe6914304c5",
"experiments/minimal-count-carrier.py": "c32f6a998a844bbccd3bc46483a551addf224b2b254f7b6d218a8fd0ca87ad2b",
"experiments/forward-count-action.py": "5f1dd9a03cf8e6b07a56d507791fed8ff859f10abf22bb755c60c3bd1ed6d909",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 2114,
"conditions": {
"exact Clifford arithmetic makes each holomorphic beam monogenic": 110,
"exact Clifford arithmetic makes each conjugate beam monogenic": 110,
"independent scalar integration normalizes the classical beam energy": 14,
"independent energy integration gives the exact transverse width ratio": 14,
"independent tube integration checks inverse-beta concentration radii": 42,
"actual ambient jets verify complete beam monogenicity": 116,
"the full sphere Dirac operator gives the intended positive shell": 116,
"the bare balanced beam has zero scalar source": 116,
"the bare balanced beam has zero tangential current": 704,
"the massive beam retains its complete classical density": 116,
"the massive beam has the intended constant constitutive ratio": 116,
"the complete spatial field equation retains the count clock": 116,
"the complete pointwise energy retains spatial kinetic and contact terms": 116,
"the visible-plane control has extra full orbital angular momentum": 56,
"observer-invariant beams retain the full half-spin Casimir": 60,
"full observer rotation intertwines the actual massive beam and seed": 180,
"fully normal positive-level beams vanish on the observer equatorial sector": 6,
"the normal beam has a higher-order zero rather than a prescribed readout coefficient": 6
},
"maximum_errors": {
"independent scalar integration normalizes the classical beam energy": 2.7962077098209193e-12,
"independent energy integration gives the exact transverse width ratio": 3.213151966718897e-12,
"independent tube integration checks inverse-beta concentration radii": 2.1488699708527292e-11,
"actual ambient jets verify complete beam monogenicity": 0.0,
"the full sphere Dirac operator gives the intended positive shell": 4.703601774247206e-16,
"the bare balanced beam has zero scalar source": 1.4215084060167617e-16,
"the bare balanced beam has zero tangential current": 1.0645573456269063e-16,
"the massive beam retains its complete classical density": 4.847721518753754e-16,
"the massive beam has the intended constant constitutive ratio": 6.059651898442191e-16,
"the complete spatial field equation retains the count clock": 4.8212838461212735e-16,
"the complete pointwise energy retains spatial kinetic and contact terms": 6.051609005018294e-16,
"the visible-plane control has extra full orbital angular momentum": 3.838532505512573e-16,
"observer-invariant beams retain the full half-spin Casimir": 0.0,
"full observer rotation intertwines the actual massive beam and seed": 9.980290449522764e-17
},
"sectors": [
{
"depth": 2,
"minimal_columns": 2,
"observer_fixed_embedding_dimension": 0,
"fully_normal_spatial_dimension": 0,
"observer_invariant_circle_available": false,
"observer_invariant_fully_normal_circle_available": false,
"restriction_zero_not_unique_to_five": false
},
{
"depth": 3,
"minimal_columns": 2,
"observer_fixed_embedding_dimension": 1,
"fully_normal_spatial_dimension": 0,
"observer_invariant_circle_available": false,
"observer_invariant_fully_normal_circle_available": false,
"restriction_zero_not_unique_to_five": false
},
{
"depth": 4,
"minimal_columns": 4,
"observer_fixed_embedding_dimension": 2,
"fully_normal_spatial_dimension": 1,
"observer_invariant_circle_available": true,
"observer_invariant_fully_normal_circle_available": false,
"restriction_zero_not_unique_to_five": false
},
{
"depth": 5,
"minimal_columns": 1,
"observer_fixed_embedding_dimension": 3,
"fully_normal_spatial_dimension": 2,
"observer_invariant_circle_available": true,
"observer_invariant_fully_normal_circle_available": true,
"restriction_zero_not_unique_to_five": true
},
{
"depth": 6,
"minimal_columns": 1,
"observer_fixed_embedding_dimension": 4,
"fully_normal_spatial_dimension": 3,
"observer_invariant_circle_available": true,
"observer_invariant_fully_normal_circle_available": true,
"restriction_zero_not_unique_to_five": true
},
{
"depth": 10,
"minimal_columns": 1,
"observer_fixed_embedding_dimension": 8,
"fully_normal_spatial_dimension": 7,
"observer_invariant_circle_available": true,
"observer_invariant_fully_normal_circle_available": true,
"restriction_zero_not_unique_to_five": true
}
],
"cases": [
{
"particle": "W",
"depth": 2,
"inferred_index": 76,
"shell_level": 75,
"count_exact": "2926",
"normalization_exact": "876046033140189202784178627860210838309859095/89202980794122492566142873090593446023921664",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/153",
"tube_half_angles_radians": {
"0.5": 0.05478466286253958,
"0.9": 0.13343574676375455,
"0.99": 0.20850710871827718
},
"planes_tested": [
[
1,
2
]
],
"omega_in_radius_units_exact": "8778/955",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "Z",
"depth": 2,
"inferred_index": 81,
"shell_level": 80,
"count_exact": "3321",
"normalization_exact": "3704816314002803080565106087254467075600588347885/365375409332725729550921208179070754913983135744",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/163",
"tube_half_angles_radians": {
"0.5": 0.0530622840023047,
"0.9": 0.12925059611586387,
"0.99": 0.20199454819437704
},
"planes_tested": [
[
1,
2
]
],
"omega_in_radius_units_exact": "9963/955",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "Higgs",
"depth": 2,
"inferred_index": 95,
"shell_level": 94,
"count_exact": "4560",
"normalization_exact": "134658766211783519618996336539828892549305383048473827125/12259964326927110866866776217202473468949912977468817408",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/191",
"tube_half_angles_radians": {
"0.5": 0.04898724193737156,
"0.9": 0.11934504189488575,
"0.99": 0.18657015671919458
},
"planes_tested": [
[
1,
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]
],
"omega_in_radius_units_exact": "2736/191",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "down",
"depth": 3,
"inferred_index": 1,
"shell_level": 0,
"count_exact": "1",
"normalization_exact": "1",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/2",
"tube_half_angles_radians": {
"0.5": 0.7853981633974483,
"0.9": 1.2490457723982544,
"0.99": 1.4706289056333368
},
"planes_tested": [
[
1,
2
]
],
"omega_in_radius_units_exact": "9/370",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "strange",
"depth": 3,
"inferred_index": 4,
"shell_level": 3,
"count_exact": "20",
"normalization_exact": "4",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/5",
"tube_half_angles_radians": {
"0.5": 0.4102928689161818,
"0.9": 0.7228941737693222,
"0.99": 0.9735818126340953
},
"planes_tested": [
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1,
2
]
],
"omega_in_radius_units_exact": "18/37",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "up",
"depth": 4,
"inferred_index": 3,
"shell_level": 2,
"count_exact": "15",
"normalization_exact": "35/8",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/3",
"tube_half_angles_radians": {
"0.5": 0.5871951919849229,
"0.9": 0.9084770037310868,
"0.99": 1.1460925446747037
},
"planes_tested": [
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1,
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0,
4
]
],
"omega_in_radius_units_exact": "18/264649",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "charm",
"depth": 4,
"inferred_index": 20,
"shell_level": 19,
"count_exact": "8855",
"normalization_exact": "2354878200675/34359738368",
"mean_transverse_squared_distance_over_radius_squared_exact": "3/43",
"tube_half_angles_radians": {
"0.5": 0.24054781174081305,
"0.9": 0.387901164409961,
"0.99": 0.5171020535550901
},
"planes_tested": [
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1,
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],
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0,
4
]
],
"omega_in_radius_units_exact": "138/3437",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "top",
"depth": 4,
"inferred_index": 72,
"shell_level": 71,
"count_exact": "1215450",
"normalization_exact": "160973163581305498161827587383731531442775875/348449143727040986586495598010130648530944",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/49",
"tube_half_angles_radians": {
"0.5": 0.12778547577759383,
"0.9": 0.2072489495707565,
"0.99": 0.27837338267382183
},
"planes_tested": [
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"omega_in_radius_units_exact": "1458540/264649",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "nu1",
"depth": 5,
"inferred_index": 10,
"shell_level": 9,
"count_exact": "2002",
"normalization_exact": "55",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/6",
"tube_half_angles_radians": {
"0.5": 0.394839608183068,
"0.9": 0.5907631773910216,
"0.99": 0.7551959097197866
},
"planes_tested": [
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0,
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5
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],
"omega_in_radius_units_exact": "18018/412561",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "nu2",
"depth": 5,
"inferred_index": 15,
"shell_level": 14,
"count_exact": "11628",
"normalization_exact": "120",
"mean_transverse_squared_distance_over_radius_squared_exact": "2/17",
"tube_half_angles_radians": {
"0.5": 0.326228917371871,
"0.9": 0.49082230646934855,
"0.99": 0.6318335997439686
},
"planes_tested": [
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0,
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],
"omega_in_radius_units_exact": "104652/412561",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "nu3",
"depth": 5,
"inferred_index": 22,
"shell_level": 21,
"count_exact": "65780",
"normalization_exact": "253",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/12",
"tube_half_angles_radians": {
"0.5": 0.271474662928262,
"0.9": 0.409933757606079,
"0.99": 0.5301225903032346
},
"planes_tested": [
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1,
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],
[
0,
4
],
[
4,
5
]
],
"omega_in_radius_units_exact": "592020/412561",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "electron",
"depth": 6,
"inferred_index": 13,
"shell_level": 12,
"count_exact": "18564",
"normalization_exact": "882230895/4194304",
"mean_transverse_squared_distance_over_radius_squared_exact": "5/31",
"tube_half_angles_radians": {
"0.5": 0.3929228947545291,
"0.9": 0.5641795027453547,
"0.99": 0.7084922201912455
},
"planes_tested": [
[
1,
2
],
[
0,
4
],
[
4,
5
]
],
"omega_in_radius_units_exact": "167076/18462575",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "muon",
"depth": 6,
"inferred_index": 35,
"shell_level": 34,
"count_exact": "3838380",
"normalization_exact": "169592931061097695629933/73786976294838206464",
"mean_transverse_squared_distance_over_radius_squared_exact": "1/15",
"tube_half_angles_radians": {
"0.5": 0.24548184563365527,
"0.9": 0.3556286928309799,
"0.99": 0.4514290118293656
},
"planes_tested": [
[
1,
2
],
[
0,
4
],
[
4,
5
]
],
"omega_in_radius_units_exact": "6909084/3692515",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
},
{
"particle": "tau",
"depth": 10,
"inferred_index": 23,
"shell_level": 22,
"count_exact": "64512240",
"normalization_exact": "77964493964569485/2199023255552",
"mean_transverse_squared_distance_over_radius_squared_exact": "9/55",
"tube_half_angles_radians": {
"0.5": 0.40525208440321225,
"0.9": 0.5320623259198908,
"0.99": 0.638892936518632
},
"planes_tested": [
[
1,
2
],
[
0,
4
],
[
4,
5
]
],
"omega_in_radius_units_exact": "12192813360/14943591113",
"classification": "exact classical count-compatible circle-concentrated field, not identified observed particle"
}
],
"limits": [
"round sector spheres and effective count action remain conditional",
"tube concentration around a great circle is not a mobile localized object in unbounded space",
"energy integration is classical and does not introduce electron position probabilities",
"fully normal circles occur at five six and ten; no unique neutrino coupling suppression follows",
"an observer-invariant circle already exists at depth four using the center coordinate",
"pure beam nodes prevent transfer of the nodeless nonlinear persistence proof",
"half-spin field transformation does not identify a nonzero classical mean spin"
]
}