Recorded data and provenance for the associated calculation.
| experiment | single-law-self-pair-check |
|---|---|
| status | conditional_fixed_profile_scale_test |
| interaction_density | -g rho^2/[2(1+rho)] |
| scale_energy | E(Q,y)=Qy-(g/2)Q^2y^d/(1+Qy^d) |
| scope | Uniform-density volume scale and stipulated positive first-order gradient term. Pair curvature is an infinitesimal co-located density response. No full field, inertia, or positive rest-frequency solution. |
View complete data
{
"experiment": "single-law-self-pair-check",
"status": "conditional_fixed_profile_scale_test",
"interaction_density": "-g rho^2/[2(1+rho)]",
"scale_energy": "E(Q,y)=Qy-(g/2)Q^2y^d/(1+Qy^d)",
"rows": [
{
"depth": 2,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.170685282,
"relative_energy": -0.216871807,
"stationary_frequency_shift": -0.802214448,
"fixed_profile_pair_curvature": -0.493855006,
"relaxed_pair_curvature": -0.515642829,
"finite_difference_check": -0.515642832
},
{
"depth": 3,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.370696994,
"relative_energy": -0.262844655,
"stationary_frequency_shift": -0.719743653,
"fixed_profile_pair_curvature": -0.255587844,
"relaxed_pair_curvature": -0.370194577,
"finite_difference_check": -0.370194578
},
{
"depth": 4,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.394086644,
"relative_energy": -0.270837951,
"stationary_frequency_shift": -0.619359612,
"fixed_profile_pair_curvature": -0.145913333,
"relaxed_pair_curvature": -0.287593159,
"finite_difference_check": -0.28759316
},
{
"depth": 5,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.378517284,
"relative_energy": -0.269657531,
"stationary_frequency_shift": -0.545360988,
"fixed_profile_pair_curvature": -0.092238269,
"relaxed_pair_curvature": -0.233305519,
"finite_difference_check": -0.23330552
},
{
"depth": 6,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.354614813,
"relative_energy": -0.266107058,
"stationary_frequency_shift": -0.491876194,
"fixed_profile_pair_curvature": -0.0629,
"relaxed_pair_curvature": -0.195202789,
"finite_difference_check": -0.19520279
},
{
"depth": 10,
"g_over_binding_threshold": 1.2,
"inverse_radius": 1.270747659,
"relative_energy": -0.251578623,
"stationary_frequency_shift": -0.378653389,
"fixed_profile_pair_curvature": -0.021214895,
"relaxed_pair_curvature": -0.115729215,
"finite_difference_check": -0.115729216
}
],
"sources": {
"experiments/single-law-self-pair-check.py": "0122c6c97c9d02f40c91eafe3daab65128f80a637e9c6b891053fbdad67d316e"
},
"scope": "Uniform-density volume scale and stipulated positive first-order gradient term. Pair curvature is an infinitesimal co-located density response. No full field, inertia, or positive rest-frequency solution."
}