Recorded data and provenance for the associated calculation.
| experiment_key | forward-algebraic-count-action |
|---|---|
| created_utc | 2026-10-12T07:41:51.601972+00:00 |
| evaluations | 258 |
View complete data
{
"experiment_key": "forward-algebraic-count-action",
"created_utc": "2026-10-12T07:41:51.601972+00:00",
"sources": {
"experiments/forward-count-action.py": "5f1dd9a03cf8e6b07a56d507791fed8ff859f10abf22bb755c60c3bd1ed6d909",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 258,
"conditions": {
"forward polarization variation locks the auxiliary label to the actual spatial eigenvalue": 1,
"forward auxiliary variation fixes the polarization by the derivative of the spatial count": 1,
"the complete stationary energy reduces to the count without discarding spatial kinetics": 1,
"the retained relative-phase equation is stationary on the real pair": 1,
"the forward action retains the original relative-phase curvature": 1,
"eliminating the algebraic variable retains the original polarization curvature": 1,
"one sector comparison scale keeps every inferred shell in the convex open chart": 14,
"independent simultaneous stationary solve recovers the geometric label polarization and relative phase": 14,
"independent stationary energy evaluation recovers the count clock relatively": 14,
"independent cumulative spatial shell enumeration gives the constitutive count at the solved label": 14,
"high precision complete pair equation verifies the selected count clock relatively": 14,
"high precision complete pair energy retains the spatial kinetic contribution": 14,
"independent arbitrary field and auxiliary variations verify the complete local source": 42,
"actual spinor boosts preserve the one-field count potential": 42,
"actual covariant Clifford jets verify the spatial eigenvalue entering the forward derivation": 42,
"actual full local field source and spatial jet satisfy the selected stationary branch": 42
},
"maximum_errors": {
"independent arbitrary field and auxiliary variations verify the complete local source": 1.2037768004624638e-10,
"actual spinor boosts preserve the one-field count potential": 1.1980475805920206e-15,
"actual covariant Clifford jets verify the spatial eigenvalue entering the forward derivation": 2.24962768276747e-15,
"actual full local field source and spatial jet satisfy the selected stationary branch": 2.074968710146574e-12
},
"cases": [
{
"particle": "W",
"depth": 2,
"inferred_index": 76,
"auxiliary_label_exact": "76",
"count_exact": "2926",
"epsilon_exact": "3/955",
"polarization_exact": "459/1910",
"frequency_in_radius_units_exact": "8778/955",
"pair_clock_relative_residual": "4.360485884585801161179037882402234557739635527128832388305431708915178730518083718236e-85",
"source_coefficient": 306.9849914930204,
"eliminated_polarization_curvature_exact": "-955/3",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "Z",
"depth": 2,
"inferred_index": 81,
"auxiliary_label_exact": "81",
"count_exact": "3321",
"epsilon_exact": "3/955",
"polarization_exact": "489/1910",
"frequency_in_radius_units_exact": "9963/955",
"pair_clock_relative_residual": "4.497361507803249301411244286982643161081490364911081327964086828154245632664559280732e-85",
"source_coefficient": 305.8358012364264,
"eliminated_polarization_curvature_exact": "-955/3",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "Higgs",
"depth": 2,
"inferred_index": 95,
"auxiliary_label_exact": "95",
"count_exact": "4560",
"epsilon_exact": "3/955",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "2736/191",
"pair_clock_relative_residual": "1.111230651909913427036460602502569299960150054653028498116011231186149002978721991571e-85",
"source_coefficient": 302.08074711536614,
"eliminated_polarization_curvature_exact": "-955/3",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "down",
"depth": 3,
"inferred_index": 1,
"auxiliary_label_exact": "3/2",
"count_exact": "1",
"epsilon_exact": "9/370",
"polarization_exact": "33/740",
"frequency_in_radius_units_exact": "9/370",
"pair_clock_relative_residual": "1.191836544761523743478392833186215022351822125953639157653700279384090101581989649882e-83",
"source_coefficient": 33.60290104555983,
"eliminated_polarization_curvature_exact": "-185/9",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "strange",
"depth": 3,
"inferred_index": 4,
"auxiliary_label_exact": "9/2",
"count_exact": "20",
"epsilon_exact": "9/370",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "18/37",
"pair_clock_relative_residual": "3.223926042362137903157338535729013533724779399184705182131070464501074094108870419739e-85",
"source_coefficient": 14.309088021254185,
"eliminated_polarization_curvature_exact": "-74/9",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "up",
"depth": 4,
"inferred_index": 3,
"auxiliary_label_exact": "4",
"count_exact": "15",
"epsilon_exact": "6/1323245",
"polarization_exact": "171/2646490",
"frequency_in_radius_units_exact": "18/264649",
"pair_clock_relative_residual": "2.485468552466585164696877326072924890082930499368472625542937814507499261186285357879e-78",
"source_coefficient": 61906.19870118159,
"eliminated_polarization_curvature_exact": "-378070/17",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "charm",
"depth": 4,
"inferred_index": 20,
"auxiliary_label_exact": "21",
"count_exact": "8855",
"epsilon_exact": "6/1323245",
"polarization_exact": "19823/2646490",
"frequency_in_radius_units_exact": "138/3437",
"pair_clock_relative_residual": "8.27845155085197458595641197415198640011564027423003750300822469104658194995196305566e-82",
"source_coefficient": 2803.5479461319114,
"eliminated_polarization_curvature_exact": "-2646490/2771",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "top",
"depth": 4,
"inferred_index": 72,
"auxiliary_label_exact": "73",
"count_exact": "1215450",
"epsilon_exact": "6/1323245",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "1458540/264649",
"pair_clock_relative_residual": "1.486006289809326420163322684927303559438983327270194203128931704765810048625512265759e-85",
"source_coefficient": 232.12520567812345,
"eliminated_polarization_curvature_exact": "-2646490/32411",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "nu1",
"depth": 5,
"inferred_index": 10,
"auxiliary_label_exact": "23/2",
"count_exact": "2002",
"epsilon_exact": "9/412561",
"polarization_exact": "76143/4125610",
"frequency_in_radius_units_exact": "18018/412561",
"pair_clock_relative_residual": "1.702229212069858514125021496656437424142634376686896510090505729596417331234535685558e-82",
"source_coefficient": 622.9913949488712,
"eliminated_polarization_curvature_exact": "-412561/2565",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "nu2",
"depth": 5,
"inferred_index": 15,
"auxiliary_label_exact": "33/2",
"count_exact": "11628",
"epsilon_exact": "9/412561",
"polarization_exact": "619911/8251220",
"frequency_in_radius_units_exact": "104652/412561",
"pair_clock_relative_residual": "8.67331743422982316657290927975536687753036760226844947017300096936369902178257548736e-85",
"source_coefficient": 218.9997490602573,
"eliminated_polarization_curvature_exact": "-1650244/29325",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "nu3",
"depth": 5,
"inferred_index": 22,
"auxiliary_label_exact": "47/2",
"count_exact": "65780",
"epsilon_exact": "9/412561",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "592020/412561",
"pair_clock_relative_residual": "2.73726739465449468891661204300026392104201418879935504538058045368183726259827987788e-85",
"source_coefficient": 74.7252374443274,
"eliminated_polarization_curvature_exact": "-412561/20682",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "electron",
"depth": 6,
"inferred_index": 13,
"auxiliary_label_exact": "15",
"count_exact": "18564",
"epsilon_exact": "9/18462575",
"polarization_exact": "1309533/369251500",
"frequency_in_radius_units_exact": "167076/18462575",
"pair_clock_relative_residual": "7.850082700074965008933012741988962001666380271228726313075622992198179717858982831127e-81",
"source_coefficient": 4229.5518084795085,
"eliminated_polarization_curvature_exact": "-184625750/213301",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "muon",
"depth": 6,
"inferred_index": 35,
"auxiliary_label_exact": "37",
"count_exact": "3838380",
"epsilon_exact": "9/18462575",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "6909084/3692515",
"pair_clock_relative_residual": "3.963076889272970111569734972059243472065753591835845035214546897317522259678051314454e-85",
"source_coefficient": 117.65250150808997,
"eliminated_polarization_curvature_exact": "-369251500/14794637",
"classification": "forward conditional derivation from the explicit count constitutive action"
},
{
"particle": "tau",
"depth": 10,
"inferred_index": 23,
"auxiliary_label_exact": "27",
"count_exact": "64512240",
"epsilon_exact": "189/14943591113",
"polarization_exact": "3/10",
"frequency_in_radius_units_exact": "12192813360/14943591113",
"pair_clock_relative_residual": "1.807712106818001325716435583048175348537386638324062880592991207037143985871511518668e-84",
"source_coefficient": 85.85452812752511,
"eliminated_polarization_curvature_exact": "-271701656600/26939396697",
"classification": "forward conditional derivation from the explicit count constitutive action"
}
],
"limits": [
"the spatial counting constitutive potential is a stated premise recovered by inverse research",
"the algebraic label adds no propagating field or mediator",
"this action is equivalent to the raw inverse-current law, not its flattened persistence modification",
"spatial jet residuals are scaled by the large source coefficient; pair clocks are checked relatively at high precision",
"the conditional sphere, sector scales, sparse occupation and localized support are not derived here",
"no new assigned-depth preference, observed particle identification or additional persistence theorem follows"
]
}