Recorded data and provenance for the associated calculation.
| experiment_key | local-homogeneous-current-ratio-spatial-closure |
|---|---|
| created_utc | 2026-10-11T17:36:58.176058+00:00 |
| classification | changed local covariant ratio action and actual full-multiplet spatial eigenfields |
| condition_count | 30 |
| evaluation_count | 871 |
View complete data
{
"experiment_key": "local-homogeneous-current-ratio-spatial-closure",
"created_utc": "2026-10-11T17:36:58.176058+00:00",
"sources": {
"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": "changed local covariant ratio action and actual full-multiplet spatial eigenfields",
"assumptions": [
"same-spinor matrix carrier with complete balanced columns is stipulated",
"ordinary round-sphere geometry and graded Dirac carrier are declared controls",
"local potential kappa J_scalar^2/(2 sqrt(j_vector squared)) on the timelike-current domain",
"one common kappa R=256 for every diagnostic depth and assigned comparison index",
"mapping assigned cumulative cutoff N to an individual shell l=N is only a test hypothesis"
],
"limits": [
"the ratio potential extends continuously by zero at null-current fields but its full source has a nondifferentiable cusp there",
"a balanced matrix carrier does not derive observed spin, charge or a master-field reduction",
"retained-pair ellipticity is not full spatial or nonlinear particle stability",
"compact control eigenfields do not establish localization or complete flat-space particle inertia",
"every maintained multi-particle family fails the exact common-branch count-ratio bound",
"the generalized nonnegative-potential ratio bound assumes the compared stationary pair states lie on one smooth connected branch"
],
"condition_count": 30,
"evaluation_count": 871,
"conditions": {
"actual tested field remains in the timelike-current domain": 228,
"current-ratio potential is nonnegative and bounded by its local intensity coefficient": 6,
"full complex variation retains scalar and time-spatial-current derivatives": 24,
"local ratio potential has exact amplitude degree two": 12,
"complete local source has exact amplitude degree one": 12,
"physical spinor boost preserves the scalar grading form": 6,
"summed actual Dirac current obeys the local Lorentz boost law": 6,
"summed scalar current is Lorentz invariant": 6,
"proper summed Dirac-current norm is Lorentz invariant": 6,
"the changed current-ratio potential is a local Lorentz scalar": 6,
"null-limit scalar current is the exact paired moment": 24,
"null-limit spatial current is the exact paired moment": 24,
"null-limit transverse spatial currents vanish": 24,
"nonnull path reaches the null-current set with proper norm equal to absolute scalar current": 24,
"potential has a continuous but nondifferentiable absolute-value null limit": 24,
"complete gradient has unequal one-sided null-current limits": 24,
"one common current coefficient admits every tested mixed-sign branch": 14,
"complete spatial multiplet has zero summed spatial current": 84,
"nonconstant spatial density cancels from the scalar-current ratio": 84,
"balanced spatial current is strictly timelike": 84,
"full nonlinear spatial equation closes on its actual opposite Dirac-shell pair": 84,
"complete homogeneous stationary energy per canonical norm equals its clock": 14,
"paired source Jacobian retains phase and norm variations": 14,
"complete paired linearization has its exact elliptic shape frequency": 14,
"retained pair has no resolved exponential growth": 14,
"every smooth connected ratio-law stationary pair has envelope derivative equal to its signed shell occupation": 1,
"every nonnegative ratio potential compresses bare-shell ratios on a connected positive-clock pair branch": 1,
"stationary envelope derivative is the positive-minus-negative shell occupation": 1,
"common branch compresses positive bare-shell frequency ratios": 1,
"all maintained multi-particle families exceed the exact common-branch ratio bound": 5
},
"maximum_errors": {
"full complex variation retains scalar and time-spatial-current derivatives": 1.298250396075673e-10,
"local ratio potential has exact amplitude degree two": 1.4432899320127035e-15,
"complete local source has exact amplitude degree one": 1.4345189398838525e-15,
"physical spinor boost preserves the scalar grading form": 2.2204879870669676e-16,
"summed actual Dirac current obeys the local Lorentz boost law": 3.559001840710736e-16,
"summed scalar current is Lorentz invariant": 1.3877787807814457e-16,
"proper summed Dirac-current norm is Lorentz invariant": 3.3306690738754696e-16,
"the changed current-ratio potential is a local Lorentz scalar": 1.27675647831893e-15,
"null-limit scalar current is the exact paired moment": 1.8041124150158794e-16,
"null-limit spatial current is the exact paired moment": 3.3306690738754696e-16,
"null-limit transverse spatial currents vanish": 0.0,
"nonnull path reaches the null-current set with proper norm equal to absolute scalar current": 5.936223734792634e-15,
"potential has a continuous but nondifferentiable absolute-value null limit": 2.968309750755337e-13,
"complete gradient has unequal one-sided null-current limits": 2.8962648963112063e-13,
"complete spatial multiplet has zero summed spatial current": 1.4103067357771371e-16,
"nonconstant spatial density cancels from the scalar-current ratio": 3.3306690738754696e-16,
"balanced spatial current is strictly timelike": 0.0,
"full nonlinear spatial equation closes on its actual opposite Dirac-shell pair": 2.010507109069737e-16,
"complete homogeneous stationary energy per canonical norm equals its clock": 4.392036588958531e-16,
"paired source Jacobian retains phase and norm variations": 1.6880440821442278e-10,
"complete paired linearization has its exact elliptic shape frequency": 3.5867817685369915e-16,
"retained pair has no resolved exponential growth": 5.45183462704561e-14
},
"arbitrary_complex_variations": [
{
"depth": 2,
"graded_spinor_rank": 2,
"proper_current_over_intensity": 0.9965273624296658
},
{
"depth": 3,
"graded_spinor_rank": 4,
"proper_current_over_intensity": 0.7847777576965532
},
{
"depth": 4,
"graded_spinor_rank": 4,
"proper_current_over_intensity": 0.8359677431353791
},
{
"depth": 5,
"graded_spinor_rank": 8,
"proper_current_over_intensity": 0.9732104558738905
},
{
"depth": 6,
"graded_spinor_rank": 8,
"proper_current_over_intensity": 0.9411433597481659
},
{
"depth": 10,
"graded_spinor_rank": 32,
"proper_current_over_intensity": 0.994331199252062
}
],
"null_current_limits": [
{
"depth": 2,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
},
{
"depth": 3,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
},
{
"depth": 4,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
},
{
"depth": 5,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
},
{
"depth": 6,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
},
{
"depth": 10,
"null_field_norm": 0.9999999999999998,
"one_sided_gradient_jump_norm": 256.0,
"potential_limit": 0,
"differentiable_at_nonzero_null_current": false
}
],
"spatial_solutions": [
{
"name": "W",
"depth": 2,
"mode_index": 76,
"spatial_shell_level": 75,
"bare_shell_frequency_in_inverse_radius_units": 76.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 139.28125,
"scalar_current_over_proper_current": 0.9549163494123452,
"retained_pair_shape_frequency_in_inverse_radius_units": 488.9171708991207,
"full_spatial_stability_tested": false
},
{
"name": "Z",
"depth": 2,
"mode_index": 81,
"spatial_shell_level": 80,
"bare_shell_frequency_in_inverse_radius_units": 81.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 140.814453125,
"scalar_current_over_proper_current": 0.9486237847328822,
"retained_pair_shape_frequency_in_inverse_radius_units": 485.69537778323564,
"full_spatial_stability_tested": false
},
{
"name": "Higgs",
"depth": 2,
"mode_index": 95,
"spatial_shell_level": 94,
"bare_shell_frequency_in_inverse_radius_units": 95.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 145.626953125,
"scalar_current_over_proper_current": 0.9285954063589468,
"retained_pair_shape_frequency_in_inverse_radius_units": 475.44084805578075,
"full_spatial_stability_tested": false
},
{
"name": "down",
"depth": 3,
"mode_index": 1,
"spatial_shell_level": 0,
"bare_shell_frequency_in_inverse_radius_units": 1.5,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.00439453125,
"scalar_current_over_proper_current": 0.999982833714964,
"retained_pair_shape_frequency_in_inverse_radius_units": 511.99121086206156,
"full_spatial_stability_tested": false
},
{
"name": "strange",
"depth": 3,
"mode_index": 4,
"spatial_shell_level": 3,
"bare_shell_frequency_in_inverse_radius_units": 4.5,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.03955078125,
"scalar_current_over_proper_current": 0.9998454928245085,
"retained_pair_shape_frequency_in_inverse_radius_units": 511.92089232614836,
"full_spatial_stability_tested": false
},
{
"name": "up",
"depth": 4,
"mode_index": 3,
"spatial_shell_level": 2,
"bare_shell_frequency_in_inverse_radius_units": 4.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.03125,
"scalar_current_over_proper_current": 0.9998779222360097,
"retained_pair_shape_frequency_in_inverse_radius_units": 511.937496184837,
"full_spatial_stability_tested": false
},
{
"name": "charm",
"depth": 4,
"mode_index": 20,
"spatial_shell_level": 19,
"bare_shell_frequency_in_inverse_radius_units": 21.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.861328125,
"scalar_current_over_proper_current": 0.9966297577452911,
"retained_pair_shape_frequency_in_inverse_radius_units": 510.274435965589,
"full_spatial_stability_tested": false
},
{
"name": "top",
"depth": 4,
"mode_index": 72,
"spatial_shell_level": 71,
"bare_shell_frequency_in_inverse_radius_units": 73.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 138.408203125,
"scalar_current_over_proper_current": 0.9584810447191626,
"retained_pair_shape_frequency_in_inverse_radius_units": 490.74229489621126,
"full_spatial_stability_tested": false
},
{
"name": "nu1",
"depth": 5,
"mode_index": 10,
"spatial_shell_level": 9,
"bare_shell_frequency_in_inverse_radius_units": 11.5,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.25830078125,
"scalar_current_over_proper_current": 0.9989905030311772,
"retained_pair_shape_frequency_in_inverse_radius_units": 511.4831375519627,
"full_spatial_stability_tested": false
},
{
"name": "nu2",
"depth": 5,
"mode_index": 15,
"spatial_shell_level": 14,
"bare_shell_frequency_in_inverse_radius_units": 16.5,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.53173828125,
"scalar_current_over_proper_current": 0.9979207356687877,
"retained_pair_shape_frequency_in_inverse_radius_units": 510.9354166624193,
"full_spatial_stability_tested": false
},
{
"name": "nu3",
"depth": 5,
"mode_index": 22,
"spatial_shell_level": 21,
"bare_shell_frequency_in_inverse_radius_units": 23.5,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 129.07861328125,
"scalar_current_over_proper_current": 0.9957777531860381,
"retained_pair_shape_frequency_in_inverse_radius_units": 509.8382096312516,
"full_spatial_stability_tested": false
},
{
"name": "electron",
"depth": 6,
"mode_index": 13,
"spatial_shell_level": 12,
"bare_shell_frequency_in_inverse_radius_units": 15.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 128.439453125,
"scalar_current_over_proper_current": 0.998281910314385,
"retained_pair_shape_frequency_in_inverse_radius_units": 511.12033808096504,
"full_spatial_stability_tested": false
},
{
"name": "muon",
"depth": 6,
"mode_index": 35,
"spatial_shell_level": 34,
"bare_shell_frequency_in_inverse_radius_units": 37.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 130.673828125,
"scalar_current_over_proper_current": 0.9895002363685607,
"retained_pair_shape_frequency_in_inverse_radius_units": 506.62412102070306,
"full_spatial_stability_tested": false
},
{
"name": "tau",
"depth": 10,
"mode_index": 23,
"spatial_shell_level": 22,
"bare_shell_frequency_in_inverse_radius_units": 27.0,
"common_current_coefficient_in_inverse_radius_units": 256.0,
"stationary_frequency_in_inverse_radius_units": 129.423828125,
"scalar_current_over_proper_current": 0.9944226177905635,
"retained_pair_shape_frequency_in_inverse_radius_units": 509.14438030876863,
"full_spatial_stability_tested": false
}
],
"family_comparison": [
{
"depth": 2,
"low": "W",
"high": "Higgs",
"target_count_ratio_exact": "120/77",
"bare_shell_ratio_exact": "5/4",
"constructed_branch_ratio": 1.0455603544985417
},
{
"depth": 3,
"low": "down",
"high": "strange",
"target_count_ratio_exact": "20",
"bare_shell_ratio_exact": "3",
"constructed_branch_ratio": 1.0002746487738077
},
{
"depth": 4,
"low": "up",
"high": "top",
"target_count_ratio_exact": "81030",
"bare_shell_ratio_exact": "73/4",
"constructed_branch_ratio": 1.0810501586526726
},
{
"depth": 5,
"low": "nu1",
"high": "nu3",
"target_count_ratio_exact": "230/7",
"bare_shell_ratio_exact": "47/23",
"constructed_branch_ratio": 1.0063957848732075
},
{
"depth": 6,
"low": "electron",
"high": "muon",
"target_count_ratio_exact": "3515/17",
"bare_shell_ratio_exact": "37/15",
"constructed_branch_ratio": 1.017396329131248
}
]
}