Recorded data and provenance for the associated calculation.
| generated_at | 2026-09-23T12:07:02.090574+00:00 |
|---|---|
| status | diagnostic_pass |
| checks | 32 |
| check_meaning | one completed candidate-equation comparison per maintained mode and strength |
| purpose | All current candidate equations in one comparison run under shared mode assignments |
View complete data
{
"generated_at": "2026-09-23T12:07:02.090574+00:00",
"status": "diagnostic_pass",
"checks": 32,
"check_meaning": "one completed candidate-equation comparison per maintained mode and strength",
"purpose": "All current candidate equations in one comparison run under shared mode assignments",
"normalization": {
"response": "unit wave norm for the displayed algebraic source controls",
"linked_radial": "unit wave norm; its a*v^2 values belong only to the linked finite-carrier action",
"whole_depth_current": "unit phase charge for the reported common a*v^2 threshold; wave norm N=J/(2*omega)"
},
"equations": {
"response": "K_ij=sum_even_ell s_iell*s_jell*d/((ell-1)*(ell+d)); bias Kc=-diag(K); fixed-norm frequency shift=-gamma^2*N*K_ii",
"linked_radial": "H=D/R+gK; p=-R*omega_R/omega; G_R=2*N*p*omega/R^2; a*v^2>N*p*omega/2",
"whole_depth_current": "E1=<psi,H0(g)psi>-int g(kappa)*|j|; g(kappa)=g0*kappa^4/(1+kappa^4); G_ij=d_i d_j E1; F_i=d_i E1; a*v^2>J*F^T*G^-1*F on each tested metric subspace",
"positive_wave_action": "L+=||psi_dot||^2-||delta W/delta psi*||^2+positive collective kinetics-a*xi^2/2; J=2*omega*N"
},
"comparison_scope": [
"The three routes are separate actions and their Hessian entries are never added.",
"Strengths 1000 and 10000 are dimensionless controls, not physical fits.",
"Current Hessian rows show the uniform-radius and shared-q plane; pointwise coefficients test bare spinor positivity for all smooth conformal directions, and depth-two form rows include nine zonal directions.",
"The listed current a*v^2 values are lower bounds from finite tested metric subspaces, not sufficient thresholds for all metric perturbations.",
"The background potential, local causal completion, tensor metric response, complete wave stability, and exact finite-strength mass law remain unproved."
],
"sources": {
"experiments/joint-candidate-equations.py": "21de1feee9cd8ca506a7cb8c852fe73093f9eac4b0edce7b998c4ebcdd8f8540",
"experiments/results/flux-moment-20260915T033331_031324Z.json": "6ed720878d217cc502ef9d7ba94e70b3d5b0afd10e08e1a7d3410336878f21e5"
},
"response_depth_summaries": [
{
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"common_bias_next_mode": 96,
"common_bias_next_residual": "0.00000111384682091369598343901997867",
"one_scale_size_curvature": "no finite stationary size"
},
{
"depth": 3,
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"common_bias_next_mode": 18,
"common_bias_next_residual": "0.0000243434165573608154403295120663",
"one_scale_size_curvature": "flat at equality"
},
{
"depth": 4,
"unbiased_response_unit_spread": "46197.9775183491321099073459152",
"common_bias_next_mode": 73,
"common_bias_next_residual": "0.000446067882280155034157241105503",
"one_scale_size_curvature": "negative"
},
{
"depth": 5,
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"common_bias_next_residual": "0.000121131941950498495500393189928",
"one_scale_size_curvature": "negative"
},
{
"depth": 6,
"unbiased_response_unit_spread": "175.578403851341661033508338772",
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"common_bias_next_residual": "-0.000702411175544740834562977331403",
"one_scale_size_curvature": "negative"
},
{
"depth": 10,
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"one_scale_size_curvature": "negative"
}
],
"depth_summaries": [
{
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"whole_depth_current_tested_metric_av_squared_lower_bound_per_unit_phase_charge": "16.4999371238239938008973695105",
"whole_depth_current_tested_metric_basis": "nine zonal form directions through scalar degree 16",
"linked_frequency_unit_spread": "1.01315247993163137785188609996",
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},
{
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{
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{
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