Recorded data and provenance for the associated calculation.
| experiment_key | discrete-count-ground-spatial-response |
|---|---|
| created_utc | 2026-10-12T08:14:42.971636+00:00 |
| evaluations | 90 |
View complete data
{
"experiment_key": "discrete-count-ground-spatial-response",
"created_utc": "2026-10-12T08:14:42.971636+00:00",
"sources": {
"experiments/discrete-count-ground-response.py": "0ffdb3995d4c0781b8baafb69a4227a94e3aeba68aa41471206380475d0d94a0",
"experiments/inverse-current-radial.py": "52d9f1c981635192e06d96b11f0b1e4e5e2d1bf3d5ed420b59411fd45ef7be80"
},
"evaluations": 90,
"conditions": {
"independent orthonormal physical blocks agree with exact rational similarity": 60,
"independent full physical eigenproblem agrees with the exact squared-frequency polynomial": 30
},
"maximum_errors": {
"independent orthonormal physical blocks agree with exact rational similarity": 3.302763188371787e-16,
"independent full physical eigenproblem agrees with the exact squared-frequency polynomial": 3.2145069246112056e-15
},
"cases": [
{
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{
"real": 1.921746422676493,
"imaginary": -0.6753529745547151
},
{
"real": 1.1023650638619849,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 6,
"angular_harmonic": 10,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "12/49",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 147148*z**3/6125 + 6579607*z**2/30625 - 129884772*z/153125 + 31104/25",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 0,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 7.805521274731468,
"imaginary": 0.0
},
{
"real": 5.922001197819325,
"imaginary": 1.168766473657944
},
{
"real": 5.922001197819325,
"imaginary": -1.168766473657944
},
{
"real": 4.374639594935992,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 10,
"angular_harmonic": 1,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "1512/7381",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 12814992*z**3/23065625 + 1389616803*z**2/14416015625 - 113076*z/9765625",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 1,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 0.38279148511361544,
"imaginary": 0.0
},
{
"real": 0.08639842083568602,
"imaginary": 0.1509440661768009
},
{
"real": 0.08639842083568602,
"imaginary": -0.1509440661768009
},
{
"real": 7.6259349749404e-17,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 10,
"angular_harmonic": 2,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "1512/7381",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 28757952*z**3/23065625 + 1563312879*z**2/2883203125 - 89684605188*z/819091796875 + 838338336/152587890625",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 0,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 0.6541598662489063,
"imaginary": 0.0
},
{
"real": 0.260486175552061,
"imaginary": 0.22216270993361026
},
{
"real": 0.260486175552061,
"imaginary": -0.22216270993361026
},
{
"real": 0.0716561094319594,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 10,
"angular_harmonic": 3,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "1512/7381",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 47358072*z**3/23065625 + 21843312039*z**2/14416015625 - 4469713973352*z/9010009765625 + 7958860416/152587890625",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 0,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 0.9396314383010324,
"imaginary": 0.0
},
{
"real": 0.4625411716039655,
"imaginary": 0.28386543786774526
},
{
"real": 0.4625411716039655,
"imaginary": -0.28386543786774526
},
{
"real": 0.18847454527602603,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 10,
"angular_harmonic": 5,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "1512/7381",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 92529792*z**3/23065625 + 85179545163*z**2/14416015625 - 1378753481196*z/360400390625 + 216040608/244140625",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 0,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 1.580170138852459,
"imaginary": 0.0
},
{
"real": 0.9524937816190049,
"imaginary": 0.39564121873281455
},
{
"real": 0.9524937816190049,
"imaginary": -0.39564121873281455
},
{
"real": 0.526430624694518,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
},
{
"depth": 10,
"angular_harmonic": 10,
"ground_c_exact": "3/5",
"diagnostic_epsilon_exact": "1512/7381",
"scalar_hessian_factor_exact": "1",
"polynomial_exact": "z**4 - 251959392*z**3/23065625 + 640173329883*z**2/14416015625 - 28734491097756*z/360400390625 + 12960546912/244140625",
"negative_real_squared_frequencies_exact": 0,
"zero_squared_frequency_multiplicity_exact": 0,
"nonreal_squared_frequency_roots_exact": 2,
"eigenvalues": [
{
"real": 3.652509149805066,
"imaginary": 0.0
},
{
"real": 2.6807308405807175,
"imaginary": 0.6517282807378104
},
{
"real": 2.6807308405807175,
"imaginary": -0.6517282807378104
},
{
"real": 1.9096174958184906,
"imaginary": 0.0
}
],
"classification": "exact reducing ground rotational spatial block, not an assigned particle"
}
],
"limits": [
"these are ground comparison preparations with c3/5 and epsilon=c/Hd",
"the scalar curvature belongs to the discrete count law, not the original reconstructed law",
"one exact negative squared frequency proves growth in that reducing spatial block",
"zero negative-real roots do not exclude complex frequencies or establish persistence",
"ground results do not identify the assigned excited electron or other particles"
]
}