Recorded data and provenance for the associated calculation.
| experiment | biharmonic-color-window |
|---|---|
| created_utc | 2026-10-10T01:05:09.388425+00:00 |
| status | passed |
| checks | 361 |
| scope | Conditional common static 1/k^4 response. Exact infrared window and normal-color contractions do not derive its same-field kinetic action, non-Abelian completion, mobility or observed confinement. |
View complete data
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"isolated_infrared_divergence": false,
"sector_only_limit_requires_infinite_normal_continuation": false
}
},
{
"real_depth": 10,
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"parameters": {
"separation": 2.0,
"tangent_width": 0.7,
"normal_width": 100.0,
"ambient_depth": 10,
"energy_normalization": "multiplied by effective normal volume"
},
"measurements": {
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"finite_scaled_isolated_ceiling": 2.260378635226623e-06,
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}
},
{
"real_depth": 10,
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"parameters": {
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"normal_width": 10000.0,
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},
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"scaled_pair_energy": 1.5365846829649016e-06,
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}
},
{
"real_depth": 2,
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},
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}
},
{
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},
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}
},
{
"real_depth": 2,
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},
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}
},
{
"real_depth": 3,
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},
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}
},
{
"real_depth": 3,
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},
"measurements": {
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}
},
{
"real_depth": 3,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 2,
"effective_pole_order": 0
},
"measurements": {
"isolated_cost_and_finite_pair_window": false
}
},
{
"real_depth": 4,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 0,
"effective_pole_order": 4
},
"measurements": {
"isolated_cost_and_finite_pair_window": true
}
},
{
"real_depth": 4,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 1,
"effective_pole_order": 2
},
"measurements": {
"isolated_cost_and_finite_pair_window": false
}
},
{
"real_depth": 4,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 2,
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},
"measurements": {
"isolated_cost_and_finite_pair_window": false
}
},
{
"real_depth": 5,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 0,
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},
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}
},
{
"real_depth": 5,
"geometry": "common fourth-order stiffness with derivative source vertices",
"parameters": {
"derivatives_per_vertex": 1,
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}
},
{
"real_depth": 5,
"geometry": "common fourth-order stiffness with derivative source vertices",
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},
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}
},
{
"real_depth": 6,
"geometry": "common fourth-order stiffness with derivative source vertices",
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}
},
{
"real_depth": 6,
"geometry": "common fourth-order stiffness with derivative source vertices",
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"derivatives_per_vertex": 1,
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},
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}
},
{
"real_depth": 6,
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},
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}
},
{
"real_depth": 10,
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"parameters": {
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},
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"isolated_cost_and_finite_pair_window": false
}
},
{
"real_depth": 10,
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"parameters": {
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},
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}
},
{
"real_depth": 10,
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"parameters": {
"derivatives_per_vertex": 2,
"effective_pole_order": 0
},
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}
},
{
"real_depth": 2,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
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"generic_dipole_exclusion_does_not_exclude_this_source": true
}
},
{
"real_depth": 3,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
"positive_finite_field_energy": 0.011147307513292093,
"generic_dipole_exclusion_does_not_exclude_this_source": false
}
},
{
"real_depth": 4,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
"positive_finite_field_energy": 0.0025628495087330738,
"generic_dipole_exclusion_does_not_exclude_this_source": false
}
},
{
"real_depth": 5,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
"positive_finite_field_energy": 0.0006596454885184763,
"generic_dipole_exclusion_does_not_exclude_this_source": false
}
},
{
"real_depth": 6,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
"positive_finite_field_energy": 0.00018316742487326025,
"generic_dipole_exclusion_does_not_exclude_this_source": false
}
},
{
"real_depth": 10,
"geometry": "neutral zero-dipole three-site source",
"parameters": {
"source_weights": [
1,
-2,
1
],
"separation": 1.3,
"width": 0.7
},
"measurements": {
"positive_finite_field_energy": 1.6747301529510307e-06,
"generic_dipole_exclusion_does_not_exclude_this_source": false
}
},
{
"real_depth": 3,
"geometry": "allowed second-order stiffness infrared control",
"parameters": {
"inverse_response": "1/[k^2(k^2+m^2)]",
"m": "positive"
},
"measurements": {
"neutral_pair_energy_exact": "1/(4*pi*m) - (1 - exp(-m*r))/(4*pi*m**2*r)",
"short_distance_linear_slope_exact": "1/(8*pi)",
"infinite_distance_energy_ceiling_exact": "1/(4*pi*m)"
}
},
{
"real_depth": 3,
"geometry": "exact normal color meson and determinant source carriers",
"parameters": {
"triplet_casimir_exact": "4/3"
},
"measurements": {
"meson_neutral_energy_coefficient_exact": "4/3",
"baryon_sum_of_neutral_pair_energies_coefficient_exact": "2/3",
"baryon_dipole_norm_exact": "(2/3) sum_pairs |r_a-r_b|^2"
}
}
],
"scope": "Conditional common static 1/k^4 response. Exact infrared window and normal-color contractions do not derive its same-field kinetic action, non-Abelian completion, mobility or observed confinement.",
"sources": {
"experiments/biharmonic-color-window-checks.py": "26fef1f7cf67b063c514f50343d2d6013088046efcbad22b6b3a3dfff1c851a6"
}
}