Recorded data and provenance for the associated calculation.
| experiment_key | inverse-local-current-count-spatial-branch |
|---|---|
| created_utc | 2026-10-11T17:50:57.884618+00:00 |
| classification | inverse constitutive benchmark with target count polynomial supplied |
| precision_digits | 80 |
| condition_count | 23 |
| evaluation_count | 558 |
View complete data
{
"experiment_key": "inverse-local-current-count-spatial-branch",
"created_utc": "2026-10-11T17:50:57.884618+00:00",
"sources": {
"experiments/inverse-current-ratio-checks.py": "187311466f3614b0babad95f5b0b68adf84b05f0f0cdad3037577f196b7c9d96",
"experiments/local-current-ratio-checks.py": "f8d7e4df969ac84185848b1d9b1663dbfd876fc80461beb6228cfe4b1ba68040",
"experiments/scalar-current-band-checks.py": "a9f5e37f9cc31816aa1000fbb41893b627ed343f0f5cd56dfaeabb7f0ef347b1",
"experiments/spatial-source-saturation-checks.py": "56bd144519dbd066da32c8950845465d3b461fb12306f8d13476535cef542f2e",
"experiments/spatial-band-curvature-checks.py": "1adbe50fbe865da9b237fe8d3dd424ee43dcb951fc8f8c01a31a3e4b9330f657"
},
"classification": "inverse constitutive benchmark with target count polynomial supplied",
"assumptions": [
"actual round-sphere spatial shell pair with complete balanced spinor columns",
"one common dimensionless diagnostic epsilon=mu_d R_d=1/4294967296",
"dimension-dependent constitutive function is reconstructed by one Legendre formula from the supplied count polynomial",
"the constitutive action is only specified on its open inverse-current ratio chart with h>(d-1)/2",
"the test map equates actual shell degree l with cumulative cutoff N"
],
"limits": [
"counts are encoded in the inverse action and have not been independently derived",
"negative local potential and unrestricted Dirac energy do not establish a globally positive action",
"elliptic pair persistence is not full spatial stability, localization, decay or observed spin",
"the constitutive chart cannot support an unlimited convex count ladder at one radius",
"a single parent law for the dimension-dependent constitutive functions and physical scales is unestablished"
],
"precision_digits": 80,
"condition_count": 23,
"evaluation_count": 558,
"conditions": {
"exact inverse-pair Hessian equals minus inverse clock convexity": 1,
"inverse potential decreases from its strictly negative ground value": 6,
"every occupied depth requires negative inverse potential already at its ground shell": 6,
"count curvature is strictly positive on every nonnegative shell level": 6,
"general connected-pair slope bound gives the exact electron-muon epsilon ceiling": 1,
"the continuous polynomial is the exact maintained binomial count": 14,
"one common epsilon admits the convex count branch at every maintained assignment": 14,
"constitutive inversion remains inside its explicit open half-shell extension": 182,
"the same constitutive inversion recovers each actual bare shell frequency": 14,
"inverse local energy retains the count Legendre relation": 14,
"complete constrained shape derivative vanishes": 14,
"full pair curvature equals minus the reciprocal count curvature": 14,
"an attractive local contribution is required on every tested count branch": 14,
"complete pair energy per norm is the exact target count clock": 14,
"both fixed-norm pair curvatures give an elliptic internal shape mode": 14,
"complete four-real pair Jacobian agrees with independent nonlinear source differences": 14,
"complete pair spectrum retains its elliptic shape and both zero directions": 56,
"tested inverse-current field stays in the specified open ratio chart": 56,
"actual balanced shell multiplet retains zero spatial current": 28,
"actual scalar/proper current selects the inverse constitutive ratio": 28,
"full pointwise nonlinear spatial residual vanishes relative to its selected count clock": 28,
"arbitrary complex spatial-field variation retains all inverse current derivatives": 14,
"the finite inverse ratio chart has a positive upper shell limit": 6
},
"maximum_errors": {
"the continuous polynomial is the exact maintained binomial count": 0.0,
"the same constitutive inversion recovers each actual bare shell frequency": 3.9286712612759736e-64,
"inverse local energy retains the count Legendre relation": 2.2520667866192062e-72,
"complete constrained shape derivative vanishes": 3.750095294854338e-64,
"full pair curvature equals minus the reciprocal count curvature": 5.2355226519070306e-64,
"complete pair energy per norm is the exact target count clock": 2.2520667866192062e-72,
"complete four-real pair Jacobian agrees with independent nonlinear source differences": 1.9178524202912593e-32,
"complete pair spectrum retains its elliptic shape and both zero directions": 1.3677295391276204e-64,
"actual balanced shell multiplet retains zero spatial current": 1.3173276461392841e-81,
"actual scalar/proper current selects the inverse constitutive ratio": 2.1084395886461046e-81,
"full pointwise nonlinear spatial residual vanishes relative to its selected count clock": 1.6106536622789676e-53,
"arbitrary complex spatial-field variation retains all inverse current derivatives": 2.0298600666611437e-37
},
"cases": [
{
"name": "W",
"depth": 2,
"mode_index": 76,
"spatial_shell_level": 75,
"count_exact": "2926",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "1463/2147483648",
"bare_shell_frequency": 76.0,
"signed_shell_occupation": 1.7811544239521027e-08,
"one_minus_scalar_ratio": 1.5862555409820736e-16,
"potential_per_norm": -6.724148988723755e-07,
"retained_shape_frequency": 8561816891.052837,
"retained_shape_over_particle_frequency": 1.2567574689477898e+16,
"full_spatial_stability_tested": false
},
{
"name": "Z",
"depth": 2,
"mode_index": 81,
"spatial_shell_level": 80,
"count_exact": "3321",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "3321/4294967296",
"bare_shell_frequency": 81.0,
"signed_shell_occupation": 1.8975697457790375e-08,
"one_minus_scalar_ratio": 1.8003854700479607e-16,
"potential_per_norm": -7.638009265065193e-07,
"retained_shape_frequency": 8563544561.60961,
"retained_shape_over_particle_frequency": 1.107502072567056e+16,
"full_spatial_stability_tested": false
},
{
"name": "Higgs",
"depth": 2,
"mode_index": 95,
"spatial_shell_level": 94,
"count_exact": "4560",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "285/268435456",
"bare_shell_frequency": 95.0,
"signed_shell_occupation": 2.223532646894455e-08,
"one_minus_scalar_ratio": 2.472048715902731e-16,
"potential_per_norm": -1.0506482794880867e-06,
"retained_shape_frequency": 8567418342.022363,
"retained_shape_over_particle_frequency": 8069469646959779.0,
"full_spatial_stability_tested": false
},
{
"name": "down",
"depth": 3,
"mode_index": 1,
"spatial_shell_level": 0,
"count_exact": "1",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "1/4294967296",
"bare_shell_frequency": 1.5,
"signed_shell_occupation": 4.268561800320943e-10,
"one_minus_scalar_ratio": 9.110309921579586e-20,
"potential_per_norm": -4.0745362639427185e-10,
"retained_shape_frequency": 5494140625.386715,
"retained_shape_over_particle_frequency": 2.359715430566093e+19,
"full_spatial_stability_tested": false
},
{
"name": "strange",
"depth": 3,
"mode_index": 4,
"spatial_shell_level": 3,
"count_exact": "20",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "5/1073741824",
"bare_shell_frequency": 4.5,
"signed_shell_occupation": 2.8715779383977256e-09,
"one_minus_scalar_ratio": 4.1229799281462656e-18,
"potential_per_norm": -8.265487849712372e-09,
"retained_shape_frequency": 2320442851.466208,
"retained_shape_over_particle_frequency": 4.983113079642174e+17,
"full_spatial_stability_tested": false
},
{
"name": "up",
"depth": 4,
"mode_index": 3,
"spatial_shell_level": 2,
"count_exact": "15",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "15/4294967296",
"bare_shell_frequency": 4.0,
"signed_shell_occupation": 3.3178366720676422e-09,
"one_minus_scalar_ratio": 5.5040200912584436e-18,
"potential_per_norm": -9.778887033462524e-09,
"retained_shape_frequency": 1445205357.0502446,
"retained_shape_over_particle_frequency": 4.1380731630232026e+17,
"full_spatial_stability_tested": false
},
{
"name": "charm",
"depth": 4,
"mode_index": 20,
"spatial_shell_level": 19,
"count_exact": "8855",
"epsilon_exact": "1/4294967296",
"selected_frequency_exact": "8855/4294967296",
"bare_shell_frequency": 21.0,
"signed_shell_occupation": 3.846168207625548e-07,
"one_minus_scalar_ratio": 7.396504940675034e-14,
"potential_per_norm": -6.015237886458635e-06,
"retained_shape_frequency": 63734971.647624105,
"retained_shape_over_particle_frequency": 30913565086169.707,
"full_spatial_stability_tested": false
},
{
"name": "top",
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"bare_shell_frequency": 73.0,
"signed_shell_occupation": 1.5404599253088236e-05,
"one_minus_scalar_ratio": 1.1865083908116234e-10,
"potential_per_norm": -0.0008415417396463454,
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"retained_shape_over_particle_frequency": 19400517952.274723,
"full_spatial_stability_tested": false
},
{
"name": "nu1",
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"mode_index": 10,
"spatial_shell_level": 9,
"count_exact": "2002",
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"selected_frequency_exact": "1001/2147483648",
"bare_shell_frequency": 11.5,
"signed_shell_occupation": 1.9698248555262883e-07,
"one_minus_scalar_ratio": 1.9401049807246e-14,
"potential_per_norm": -1.7991716352601846e-06,
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"full_spatial_stability_tested": false
},
{
"name": "nu2",
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"selected_frequency_exact": "2907/1073741824",
"bare_shell_frequency": 16.5,
"signed_shell_occupation": 8.018570952117443e-07,
"one_minus_scalar_ratio": 3.2148740057075986e-13,
"potential_per_norm": -1.0523287346586586e-05,
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"retained_shape_over_particle_frequency": 7694678668884.247,
"full_spatial_stability_tested": false
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{
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"one_minus_scalar_ratio": 5.1260650672529505e-12,
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},
{
"name": "electron",
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},
{
"name": "muon",
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{
"name": "tau",
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}
],
"finite_chart_limits": [
{
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"largest_continuous_shell_level_at_slope_one": 4294967294.5
},
{
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{
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{
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{
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{
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}
]
}