Recorded data and provenance for the associated calculation.
| created_at | 2026-10-11T16:01:30.159622+00:00 |
|---|---|
| scope | Actual positive spherical Dirac bands; density self-contact is a classical comparison, not electron position probability or a Lorentz-scalar master derivation. |
View complete data
{
"created_at": "2026-10-11T16:01:30.159622+00:00",
"sources": {
"experiments/spatial-source-saturation-checks.py": "56bd144519dbd066da32c8950845465d3b461fb12306f8d13476535cef542f2e",
"experiments/spatial-band-curvature-checks.py": "1adbe50fbe865da9b237fe8d3dd424ee43dcb951fc8f8c01a31a3e4b9330f657"
},
"conditions": {
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"zonal kernel is ambient monogenic scalar component": 18,
"zonal kernel is ambient monogenic vector component": 18,
"positive zonal shells have physical orthogonal norms": 6,
"negative zonal shells have physical orthogonal norms": 6,
"both Dirac signs are explicitly retained": 6,
"kernel agrees with independently projected polynomial modes": 18,
"all spatial polarization overlap singular values agree": 18,
"two-point contact nonzero eigenvalues from independent frames": 18,
"distinct points cannot saturate an excited cumulative band": 12,
"ground-plus-first-shell overlap bounds every larger band": 12,
"bright spatial field has canonical unit norm": 28,
"complete cubic source Parseval identity across both Dirac signs": 28,
"full source leakage fraction is admissible": 28,
"smooth bright self-density strictly misses full contact saturation": 26,
"independent quadrature refinement": 56,
"two-point width correction agrees with existing spatial quantum metric": 14
},
"max_relative_errors": {
"positive zonal shells have physical orthogonal norms": 3.552713678800501e-15,
"negative zonal shells have physical orthogonal norms": 3.907985046680551e-15,
"both Dirac signs are explicitly retained": 8.526512829121202e-14,
"kernel agrees with independently projected polynomial modes": 5.169511351229718e-16,
"all spatial polarization overlap singular values agree": 4.440892098500626e-16,
"two-point contact nonzero eigenvalues from independent frames": 1.4509034919170382e-15,
"bright spatial field has canonical unit norm": 1.2361356382939448e-10,
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"independent quadrature refinement": 3.373000610241917e-10,
"two-point width correction agrees with existing spatial quantum metric": 8.815436955550327e-05
},
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],
"family_comparisons": [
{
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"low": "W",
"high": "Higgs",
"within_sector_ratio_available": true,
"quartic_ratio_relative_to_simplex": -7.33772518335396e-05
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{
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{
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{
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}
],
"scope": "Actual positive spherical Dirac bands; density self-contact is a classical comparison, not electron position probability or a Lorentz-scalar master derivation."
}