Recorded data and provenance for the associated calculation.
| experiment_key | inferred-shell-exact-stationary-shape-family |
|---|---|
| created_utc | 2026-10-12T07:03:51.814083+00:00 |
| evaluations | 1079 |
View complete data
{
"experiment_key": "inferred-shell-exact-stationary-shape-family",
"created_utc": "2026-10-12T07:03:51.814083+00:00",
"sources": {
"experiments/excited-shell-shape-family.py": "d73f341085406403ec16b021f870d7eec202399cdc20e486f08cb9518f5c1ea5",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 1079,
"conditions": {
"generic dimension density tangent follows from the exact shell equations": 1,
"the transported right generator is pointwise Hermitian unitary": 42,
"direct Clifford multiplication agrees with the scalar and quaternion expansion": 42,
"actual full matrices verify the quadrupolar density tangent": 42,
"the complete shape generator has scalar pointwise left density": 42,
"the actual covariant spatial jet verifies the base positive Dirac shell": 42,
"the actual covariant spatial jet verifies the polarized shape in the same positive shell": 42,
"finite real shape combinations remain exactly pointwise balanced": 126,
"the finite massive shape family has exactly zero spatial particle current": 126,
"the finite massive shape family remains in the same constitutive ratio": 126,
"the complete nonlinear particle equation retains the same inferred clock": 126,
"the retained background equation has no induced source on the exact family": 126,
"the local complete stationary particle energy equals its clock times canonical density": 126,
"independent scalar moment integration verifies the full matrix norm of the shape generator": 28,
"the shape generator has zero integrated real overlap": 28,
"independent radial quadratures agree on the exact shape-family charge normalization": 14
},
"maximum_errors": {
"the transported right generator is pointwise Hermitian unitary": 1.1395505880393596e-15,
"direct Clifford multiplication agrees with the scalar and quaternion expansion": 9.06080896930491e-16,
"actual full matrices verify the quadrupolar density tangent": 3.1994874391482987e-15,
"the complete shape generator has scalar pointwise left density": 3.4423747434385065e-16,
"the actual covariant spatial jet verifies the base positive Dirac shell": 2.8481500983785026e-15,
"the actual covariant spatial jet verifies the polarized shape in the same positive shell": 4.951511407998872e-15,
"finite real shape combinations remain exactly pointwise balanced": 1.2749809600626737e-16,
"the finite massive shape family has exactly zero spatial particle current": 3.0791341698588326e-17,
"the finite massive shape family remains in the same constitutive ratio": 2.9074359486311696e-16,
"the complete nonlinear particle equation retains the same inferred clock": 7.58025281492978e-16,
"the retained background equation has no induced source on the exact family": 3.0791341698588326e-17,
"the local complete stationary particle energy equals its clock times canonical density": 1.5959455978986625e-15,
"independent scalar moment integration verifies the full matrix norm of the shape generator": 7.042874989313481e-13,
"the shape generator has zero integrated real overlap": 6.653204992588035e-14,
"independent radial quadratures agree on the exact shape-family charge normalization": 1.0402099576118049e-12
},
"cases": [
{
"particle": "W",
"depth": 2,
"inferred_index": 76,
"generator_norm_squared_exact": "5775/4",
"normalization": {
"generator_norm_squared": 1443.750000000485,
"real_overlap": 5.284414724888875e-14
},
"nontrivial_family": true,
"source_m": 306.98499149302046,
"clock": 9.191623036649213,
"eta": -307.0611002748977,
"c": 0.24031413612565442,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "Z",
"depth": 2,
"inferred_index": 81,
"generator_norm_squared_exact": "1640",
"normalization": {
"generator_norm_squared": 1640.0000000002633,
"real_overlap": 5.783163234553216e-14
},
"nontrivial_family": true,
"source_m": 305.8358012364264,
"clock": 10.432460732984293,
"eta": -305.9479073651753,
"c": 0.2560209424083769,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "Higgs",
"depth": 2,
"inferred_index": 95,
"generator_norm_squared_exact": "2256",
"normalization": {
"generator_norm_squared": 2255.99999999851,
"real_overlap": -1.5593869287365017e-14
},
"nontrivial_family": true,
"source_m": 302.08074711536614,
"clock": 14.32460732984293,
"eta": -302.34205933682375,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "down",
"depth": 3,
"inferred_index": 1,
"generator_norm_squared_exact": "0",
"normalization": {
"generator_norm_squared": 0.0,
"real_overlap": 0.0
},
"nontrivial_family": false,
"source_m": 33.60290104555983,
"clock": 0.024324324324324322,
"eta": -33.612039312039315,
"c": 0.04459459459459459,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "strange",
"depth": 3,
"inferred_index": 4,
"generator_norm_squared_exact": "4",
"normalization": {
"generator_norm_squared": 4.000000000000002,
"real_overlap": 4.127282963991785e-17
},
"nontrivial_family": true,
"source_m": 14.309088021254185,
"clock": 0.48648648648648646,
"eta": -14.513513513513514,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "up",
"depth": 4,
"inferred_index": 3,
"generator_norm_squared_exact": "9/4",
"normalization": {
"generator_norm_squared": 2.25,
"real_overlap": -2.2313257666420255e-17
},
"nontrivial_family": true,
"source_m": 61906.198701181595,
"clock": 6.80146155851713e-05,
"eta": -61906.19876239475,
"c": 6.461388480591273e-05,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "charm",
"depth": 4,
"inferred_index": 20,
"generator_norm_squared_exact": "1311/16",
"normalization": {
"generator_norm_squared": 81.937499999998,
"real_overlap": -7.997753851262126e-16
},
"nontrivial_family": true,
"source_m": 2803.5479461319114,
"clock": 0.04015129473377946,
"eta": -2803.586444074282,
"c": 0.007490298470804726,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "top",
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"inferred_index": 72,
"generator_norm_squared_exact": "15975/16",
"normalization": {
"generator_norm_squared": 998.4375000001951,
"real_overlap": 2.2736895595884593e-15
},
"nontrivial_family": true,
"source_m": 232.12520567812345,
"clock": 5.51122430086643,
"eta": -237.82210903246693,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "nu1",
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"inferred_index": 10,
"generator_norm_squared_exact": "504/25",
"normalization": {
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"real_overlap": -2.7465801310204373e-16
},
"nontrivial_family": true,
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"clock": 0.04367354160960439,
"eta": -623.0538534799158,
"c": 0.01845617981340941,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "nu2",
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"inferred_index": 15,
"generator_norm_squared_exact": "1064/25",
"normalization": {
"generator_norm_squared": 42.55999999999992,
"real_overlap": -1.7309992936736105e-16
},
"nontrivial_family": true,
"source_m": 218.9997490602574,
"clock": 0.2536643066116283,
"eta": -219.3667812089544,
"c": 0.0751296171960025,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "nu3",
"depth": 5,
"inferred_index": 22,
"generator_norm_squared_exact": "2184/25",
"normalization": {
"generator_norm_squared": 87.36000000000072,
"real_overlap": -4.673224627282604e-16
},
"nontrivial_family": true,
"source_m": 74.7252374443274,
"clock": 1.4349877957441444,
"eta": -76.8983455375892,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "electron",
"depth": 6,
"inferred_index": 13,
"generator_norm_squared_exact": "30",
"normalization": {
"generator_norm_squared": 29.99999999999981,
"real_overlap": -3.3566503597695873e-17
},
"nontrivial_family": true,
"source_m": 4229.551808479509,
"clock": 0.009049441911542673,
"eta": -4229.569357516905,
"c": 0.003546452756454611,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "muon",
"depth": 6,
"inferred_index": 35,
"generator_norm_squared_exact": "1700/9",
"normalization": {
"generator_norm_squared": 188.88888888888616,
"real_overlap": -1.6096395408281584e-15
},
"nontrivial_family": true,
"source_m": 117.65250150808995,
"clock": 1.8711051952395588,
"eta": -121.46222813809378,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
},
{
"particle": "tau",
"depth": 10,
"inferred_index": 23,
"generator_norm_squared_exact": "1584/25",
"normalization": {
"generator_norm_squared": 63.36000000000008,
"real_overlap": -4.1504670215695724e-16
},
"nontrivial_family": true,
"source_m": 85.85452812752511,
"clock": 0.8159225762937936,
"eta": -89.18407742370621,
"c": 0.3,
"classification": "exact conditional stationary shape family, not a persistence theorem"
}
],
"limits": [
"full matrix charge uses exact horizontality and pointwise scalar Gram matrices",
"small shape angles remain in the open nodeless constitutive chart by continuity",
"finite angles are pointwise equation checks, not a global nodeless theorem",
"no Euclidean localization, translational inertia, nonlinear persistence or particle identification follows",
"the ordinary sphere, inverse plateau action and equivariant field-block split remain conditional premises"
]
}