Recorded data and provenance for the associated calculation.
| experiment_key | forward-count-energy-response |
|---|---|
| created_utc | 2026-10-12T07:51:07.188573+00:00 |
| evaluations | 281 |
View complete data
{
"experiment_key": "forward-count-energy-response",
"created_utc": "2026-10-12T07:51:07.188573+00:00",
"sources": {
"experiments/forward-count-response.py": "7ce635aaef371d315af46d7135392c855e85484f567deb00de30902013df7f41",
"experiments/forward-count-action.py": "5f1dd9a03cf8e6b07a56d507791fed8ff859f10abf22bb755c60c3bd1ed6d909",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 281,
"conditions": {
"generic density and scalar Schur Hessian vanishes at the explicit target count curvature": 1,
"the explicit forward response law preserves every count frequency": 14,
"the explicit forward response law preserves every stationary polarization and source": 14,
"the explicit forward response law gives the required algebraic curvature": 14,
"positive auxiliary curvature gives a valid local elimination chart at every assignment": 14,
"independent derivatives of the complete potential verify its vanishing eliminated invariant Hessian": 14,
"the eliminated constitutive scalar curvature vanishes without an implicit inverse patch": 14,
"independent massive Dirac pair diagonalization matches the complete self-adjoint spectral formula": 168,
"the reduced shape disturbance clock agrees with the retained massive pair gap": 14,
"a retained nonzero cubic derivative prevents transferring the nonlinear flat-patch theorem": 14
},
"maximum_errors": {
"the explicit forward response law preserves every count frequency": "0.0",
"the explicit forward response law preserves every stationary polarization and source": "4.158163906257959687412161832272762547115817123350275000903369230318758621821828258090856331764996974558682466e-112",
"the explicit forward response law gives the required algebraic curvature": "2.5988524414112248046326011451704765919473857020939218755646057689492241386386426613067852073531231090991765412e-113",
"independent derivatives of the complete potential verify its vanishing eliminated invariant Hessian": "2.886879406586565229574648885918767238755032621241037223627587974291314873882522330563487808488712642008355156e-104",
"the eliminated constitutive scalar curvature vanishes without an implicit inverse patch": "2.9599899182109481188819303995564480982500487786995876697646320816178152874874097722447042486475704843408380379e-111",
"independent massive Dirac pair diagonalization matches the complete self-adjoint spectral formula": "1.7487617949803999921560375818160920102963365577844066148842265805809833717448255452164031128690790795730424804e-111",
"the reduced shape disturbance clock agrees with the retained massive pair gap": "1.3667073468776764617200164028074429157176150505094982176095006520499202381863217542139552419817217504912147641e-111"
},
"cases": [
{
"particle": "W",
"depth": 2,
"inferred_index": 76,
"epsilon_exact": "3/955",
"polarization_exact": "459/1910",
"target_count_curvature_exact": "1577775321/529558196000",
"clock_in_radius_units_exact": "8778/955",
"eliminated_hessian_relative_residual": "7.6863843680088940155516743113528062773552614866006879750353355490927919001978633291356964794293604875558107069e-111",
"scalar_cubic_derivative": "20679.666853514796111127658169147897243788399138187142320326721987410845428337137152801944582228035546500471198",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "Z",
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"epsilon_exact": "3/955",
"polarization_exact": "489/1910",
"target_count_curvature_exact": "555663577/188132517000",
"clock_in_radius_units_exact": "9963/955",
"eliminated_hessian_relative_residual": "2.3073029340934390376950355012387300532621302440939452242929198663800148302589624610814632057543412996495983204e-111",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "Higgs",
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"epsilon_exact": "3/955",
"polarization_exact": "3/10",
"target_count_curvature_exact": "273/95000",
"clock_in_radius_units_exact": "2736/191",
"eliminated_hessian_relative_residual": "8.7792775926623130342576636199312238193013239297106120197041662338520256251790247341952982996824548523206045289e-112",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "down",
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"inferred_index": 1,
"epsilon_exact": "9/370",
"polarization_exact": "33/740",
"target_count_curvature_exact": "6011621/202612000",
"clock_in_radius_units_exact": "9/370",
"eliminated_hessian_relative_residual": "2.1852989533090285729416294896999942971582730322109338406138596898585879198096710149137014184320572664155435765e-109",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "strange",
"depth": 3,
"inferred_index": 4,
"epsilon_exact": "9/370",
"polarization_exact": "3/10",
"target_count_curvature_exact": "91/1500",
"clock_in_radius_units_exact": "18/37",
"eliminated_hessian_relative_residual": "0.0",
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"shape_disturbance_frequency_in_radius_units": "30.0",
"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "up",
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"epsilon_exact": "6/1323245",
"polarization_exact": "171/2646490",
"target_count_curvature_exact": "1197668488736889/74143103906205796000",
"clock_in_radius_units_exact": "18/264649",
"eliminated_hessian_relative_residual": "2.886879406586565229574648885918767238755032621241037223627587974291314873882522330563487808488712642008355156e-104",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "charm",
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"polarization_exact": "19823/2646490",
"target_count_curvature_exact": "46276901659382511/129750431835860143000",
"clock_in_radius_units_exact": "138/3437",
"eliminated_hessian_relative_residual": "1.0974063202321643797818597924997596600468895310336774558902203725891928706928705949070680441685192117488338308e-107",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "top",
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"epsilon_exact": "6/1323245",
"polarization_exact": "3/10",
"target_count_curvature_exact": "273/73000",
"clock_in_radius_units_exact": "1458540/264649",
"eliminated_hessian_relative_residual": "6.5962752592604119652563058689593350048380948897628598473183141208914955430521151427486807227947991685770367283e-112",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "nu1",
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"polarization_exact": "76143/4125610",
"target_count_curvature_exact": "1295562493786014093/807536857722716531500",
"clock_in_radius_units_exact": "18018/412561",
"eliminated_hessian_relative_residual": "7.4857054896908348648974563958762268175138176978734611707938512943215578391177540457996276308037674674307165096e-109",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
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{
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"polarization_exact": "619911/8251220",
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"clock_in_radius_units_exact": "104652/412561",
"eliminated_hessian_relative_residual": "1.3007851343148895024720343823372798988044829302880625947722388689795301787582085534838485057373099796833396508e-110",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
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{
"particle": "nu3",
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"epsilon_exact": "9/412561",
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"target_count_curvature_exact": "273/23500",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "electron",
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"epsilon_exact": "9/18462575",
"polarization_exact": "1309533/369251500",
"target_count_curvature_exact": "59516072815946270442521/251731062553243454375000000",
"clock_in_radius_units_exact": "167076/18462575",
"eliminated_hessian_relative_residual": "1.5784530833365950130597314087867323280151489055476117386198025997620438316199879925410449416939507326121288717e-107",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "muon",
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"epsilon_exact": "9/18462575",
"polarization_exact": "3/10",
"target_count_curvature_exact": "273/37000",
"clock_in_radius_units_exact": "6909084/3692515",
"eliminated_hessian_relative_residual": "0.0",
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"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
},
{
"particle": "tau",
"depth": 10,
"inferred_index": 23,
"epsilon_exact": "189/14943591113",
"polarization_exact": "3/10",
"target_count_curvature_exact": "91/9000",
"clock_in_radius_units_exact": "12192813360/14943591113",
"eliminated_hessian_relative_residual": "0.0",
"scalar_cubic_derivative": "1591375.6810620320293306120104287357070353323335441387714664946817077475878609567436385040516672659046960750376",
"shape_disturbance_frequency_in_radius_units": "180.0",
"classification": "explicit analytic forward law with unchanged count clocks and scalar source Hessian"
}
],
"limits": [
"the periodic count-energy correction is an explicit constitutive choice",
"local convex elimination is established at each shell, not on the whole continuous label interval",
"complete linear unitary persistence applies to the preferred-time density realization",
"proper-current and responding-background realizations retain their additional current Hessians",
"a nonzero cubic response excludes transfer of the nonlinear affine-patch proof",
"no new sector preference, localization, complete inertia or observed-particle identification follows"
]
}