Recorded data and provenance for the associated calculation.
| experiment | chiral-polynomial-self-and-pair |
|---|---|
| density_selection | For f(y)=y^2[(y-1)^2+epsilon], the local energy-per-norm extremum is y_+=(2+sqrt(1-3epsilon))/3. At y_+, f=y f_prime and the spatial-zero-mode energy equals standing frequency times canonical norm. |
| scope | A smooth positive polynomial of same-field C+K and C-K currents. Constant-density square-unitary zero-mode and shell weights remain inverse premises; no physical spatial support, global energy minimum, cross-depth embedding or complete stability. |
View complete data
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},
{
"depth": 3,
"indices": [
1,
4,
16,
17
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"rank": 4,
"effective_density": 0.3499995,
"checks": [
{
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"fixed_norm_energy_quadratic_coefficient": -1.9999995237718338
},
{
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},
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]
},
{
"depth": 4,
"indices": [
3,
20,
72
],
"rank": 4,
"effective_density": 0.3499995,
"checks": [
{
"strengths": {},
"fixed_norm_energy_quadratic_coefficient": -1.9999995237718338
},
{
"strengths": {
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"j0_strength": 2.0,
"h_strength": -3.0
},
"fixed_norm_energy_quadratic_coefficient": -1.9999995237718338
}
]
},
{
"depth": 5,
"indices": [
10,
15,
22
],
"rank": 8,
"effective_density": 0.34999975000000005,
"checks": [
{
"strengths": {},
"fixed_norm_energy_quadratic_coefficient": -1.9999997626918287
},
{
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},
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]
},
{
"depth": 6,
"indices": [
13,
35
],
"rank": 8,
"effective_density": 0.34999975000000005,
"checks": [
{
"strengths": {},
"fixed_norm_energy_quadratic_coefficient": -1.9999997626918287
},
{
"strengths": {
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},
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]
},
{
"depth": 10,
"indices": [
23
],
"rank": 32,
"effective_density": 0.3499999375,
"checks": [
{
"strengths": {},
"fixed_norm_energy_quadratic_coefficient": -1.9999999363307097
},
{
"strengths": {
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},
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]
}
],
"density_selection": "For f(y)=y^2[(y-1)^2+epsilon], the local energy-per-norm extremum is y_+=(2+sqrt(1-3epsilon))/3. At y_+, f=y f_prime and the spatial-zero-mode energy equals standing frequency times canonical norm.",
"scope": "A smooth positive polynomial of same-field C+K and C-K currents. Constant-density square-unitary zero-mode and shell weights remain inverse premises; no physical spatial support, global energy minimum, cross-depth embedding or complete stability.",
"sources": {
"experiments/chiral-polynomial-current-batch.py": "4f15b5a11da21eacb167755c4cb44cc9b0d86874eb1006ae5c344239266ad695"
}
}