Recorded data and provenance for the associated calculation.
| experiment_key | positive-count-full-variation-and-beam-contact |
|---|---|
| created_utc | 2026-10-12T10:57:01.069185+00:00 |
| evaluations | 526 |
View complete data
{
"experiment_key": "positive-count-full-variation-and-beam-contact",
"created_utc": "2026-10-12T10:57:01.069185+00:00",
"sources": {
"experiments/positive-count-contact.py": "ace032e592c4e37fd921faacee4376b0181965e9cfc29db3ad9d8b00808f10f6",
"experiments/positive-count-wave.py": "80cb47fd98590a2a54a8287f8fa24fcbe0b2a9edb48869402aa98a5166e487dc",
"experiments/convex-count-envelope.py": "6650f29a11b56cf16794e50c809fb92cf6a25829453698095912b357307ad8d0",
"experiments/forward-count-action.py": "5f1dd9a03cf8e6b07a56d507791fed8ff859f10abf22bb755c60c3bd1ed6d909",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80",
"experiments/excited-shell-orientation-current.py": "508484d445dbb86da9f88a31642268b5a1dba8264588e6f48ebb6cc00cf9c264"
},
"evaluations": 526,
"conditions": {
"all eligible count states determine one common smoothing width": 6,
"the complete smoothing bands are disjoint": 6,
"independent real differentiation retains the complete complex count gradient": 72,
"independent source differentiation verifies the full real Hessian": 72,
"variation of the actual positive square equals twice the full adjoint source": 72,
"the complete current-ratio Hessian is real self-adjoint": 18,
"the full smoothed source retains the Euler homogeneity identity": 18,
"the recalculated smooth pair has positive complete wave energy": 12,
"independent full two-component source norm verifies the changed pair energy": 236,
"all maintained same-branch orthogonal-column pairs retain exactly zero contact": 14
},
"maximum_errors": {
"independent real differentiation retains the complete complex count gradient": "1.305449638304645654844461849571489962811811042993063647321436877245624438060814692333251216803361883e-87",
"independent source differentiation verifies the full real Hessian": "3.431759968477997879665092336007482536564685366265115772098082895463328520779421388475329228831973671e-77",
"variation of the actual positive square equals twice the full adjoint source": "1.304655873128160630175893030164932236188142280165786713819430876462755086958587627528047780897718555e-87",
"the complete current-ratio Hessian is real self-adjoint": "2.483836992488933981300354103096921069955178420606516414723473832104821803501170907072398059424627536e-101",
"the full smoothed source retains the Euler homogeneity identity": "1.836672903461840164674667554853384211237991424368863211296773686371689182121390632132955557916814101e-86",
"independent full two-component source norm verifies the changed pair energy": "5.274260410089437994336427661195047989992684814166154386155428536380790552463921117037309926275169212e-93",
"all maintained same-branch orthogonal-column pairs retain exactly zero contact": "0.0"
},
"cases": [
{
"depth": 2,
"shell_levels": [
75,
80
],
"normalization": "unit-norm",
"norms": [
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"1.0"
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"contact_over_isolated_energy": "0.00004679513452145017509919085821541169662100020927629102302190779353848147979610139305599448490544892991",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": false,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 2,
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75,
80
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"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 3,
"shell_levels": [
0,
3
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"norms": [
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"complete_energy": "1.486345992971791370486600455828778764979097499671500088143223968363397504625070567244510742660451001",
"contact_over_isolated_energy": "2.132304523226474533105748012729900756221151560989938149484427223129662239204029442686086029836146394",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": false,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 3,
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0,
3
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"smooth_contact_energy_difference": "12.14200378637018684165371565306468260112997727427371438896798779695414079398922652041616530569868225",
"complete_energy": "12.65281459718099765246452646387549341194078808508452519977879860776495160480003733122697611650949306",
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"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 4,
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2,
19
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"smooth_contact_energy_difference": "40.30741403054531323077335644190253321068852630693237442197647341330305887323992994740454366180167018",
"complete_energy": "40.3106382927348867493781122567792918404693476464385115268539800640476817826247044648823802463924336",
"contact_over_isolated_energy": "12501.28297906097947885114953540009523019395363562386041785138684758436880018829452628227003627509251",
"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 4,
"shell_levels": [
2,
19
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"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 5,
"shell_levels": [
9,
14
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"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 5,
"shell_levels": [
9,
14
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"normalization": "equal-phase-action",
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"contact_over_isolated_energy": "1804.26504314001056046429722568347056713713937946309431721423170018488175024891568342554016429739578",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": false,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 6,
"shell_levels": [
12,
34
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"normalization": "unit-norm",
"norms": [
"1.0",
"1.0"
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"unsmoothed_contact_energy_difference": "425.8679762989327506091545272168932615796802102393275130547569859423526065739003292839445555578474873",
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"complete_energy": "432.8702093739075169171136367192136975782365456282951818473030664348517494252875552603652189356443797",
"contact_over_isolated_energy": "60.81888033824263468957843510510784262509980136963535462029082495409775485733904291707535863932500575",
"aligned_contact_sign": "positive",
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"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 6,
"shell_levels": [
12,
34
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"normalization": "equal-phase-action",
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"unsmoothed_contact_energy_difference": "19040.07458600666823439888874799961156623350149785675404869654733440511095120245490858868695289807843",
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"smooth_contact_energy_difference": "19040.07457989863198669615484871552318114410411192241307988929980180409920107652077688546242680446834",
"complete_energy": "19041.95473453578308831659511774625156004033066753559271490770866405652065366371405842934241104285329",
"contact_over_isolated_energy": "10126.86627135576725602724624314033771573532505338065996949447799110422128121571394872630641324552135",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": false,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 10,
"shell_levels": [
22,
23
],
"normalization": "unit-norm",
"norms": [
"1.0",
"1.0"
],
"isolated_complete_energy": "4.072402928236479351322200658309802152420431479119766696501349556875601314095859730834300774876506704",
"unsmoothed_contact_energy_difference": "53.43283991744210362490820199078016860643086009425002552180647623040543894749820643444934195596397957",
"smoothing_correction": "-0.0000000000002411577897115625857919809873979899738830119857132400364181609035369572648387207253632536469653663205",
"smooth_contact_energy_difference": "53.43283991744186246711849042819437662544346210427614250982076299036902078659466947718450323523861631",
"complete_energy": "57.50524284567834181844069108650417877786389358339590920632211254724462210069052920801880401011512302",
"contact_over_isolated_energy": "13.12071542502807182799586173416308655606625629293296174825414672654677262579846028724719218225048279",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": true,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
},
{
"depth": 10,
"shell_levels": [
22,
23
],
"normalization": "equal-phase-action",
"norms": [
"0.6128032420320751961383258637857145055158951436619054423055648249502935063380647040430052149998628372",
"0.427105289901143318520651359608225261420169342552237126455393665874446989265923884636033937727177129"
],
"isolated_complete_energy": "1.986594098802280311027136974903389810114379566268583569481395512537937305913490568082033682983574284",
"unsmoothed_contact_energy_difference": "39.34938543432936338145360301660380632762870288050374405965972146047452081389920800615467467494555548",
"smoothing_correction": "-0.000000000009681896247932461351041360415440198690648238391322061979305680238827123645262256103229525071893979697",
"smooth_contact_energy_difference": "39.34938543431968148520567055525276496721326268181309582126839939849521513366038088250941241884232595",
"complete_energy": "41.33597953312196179623280753015615477732764224808167939074979491103315243957387145059144610182590024",
"contact_over_isolated_energy": "19.80746115074210061029304720137450656242364459622924941986313277522331485025375083366415834802940304",
"aligned_contact_sign": "positive",
"second_is_unassigned_adjacent_shell_control": true,
"classification": "actual smooth positive-action aligned pair preparation; no radial force inferred"
}
],
"limits": [
"the action and its normalization differ from the first-order contact law",
"aligned prepared energy is not a physical radial force or encounter trajectory",
"orthogonal field columns eliminate relative-phase dependence in this preparation",
"the depth-ten second branch is an unassigned mathematical control",
"the source-variation check is finite algebra; the spatial domain proof remains analytical",
"no confinement, color law or short-range repulsion is inferred from an energy difference alone"
]
}