EVIDENCE EXTRACTION MODE Model_C_Full_Prototype_Stage3C_Validation_single.ipynb
Model_C_Full_Prototype_Stage3C_Validation_single.ipynb
STRICT EVIDENCE EXTRACTION MODE — RULES ACKNOWLEDGED
All files loaded. Proceeding with deterministic extraction.
SECTION 1 — WORKSPACE FILE INVENTORY
Files Loaded in Chat Context:
Filename File Size Record Count (where applicable) Location
Conclusions_and_Operational_Envelope_Report.md 2186 bytes N/A /content/output_20260719_002632/
diagnostics_summary.json 5684 bytes N/A /content/
failure_atlas.json 249464 bytes N/A /content/output_20260719_165608/
failure_atlas.pkl 60462 bytes N/A /content/output_20260719_002632/
failure_summary.txt 2244 bytes N/A /content/output_20260719_165608/
model_b_export_20260718_233412.json 1283 bytes N/A /content/output_20260719_002632/
model_b_export_20260718_233506.json 1283 bytes N/A /content/
model_b_export_20260718_233612 (1).json 1283 bytes N/A /content/output_20260719_165608/
model_b_export_20260718_233612.json 1283 bytes N/A /content/output_20260719_002632/
model_b_export_20260718_234159.json 1283 bytes N/A /content/
Model_C_Full_Prototype_Stage3_Validation_single.py 49506 bytes N/A /content/
stability_sweep_20260719_004334.json 13874 bytes 36 records /content/drive/
stability_sweep_20260719_004932.json 13784 bytes 36 records /content/output_20260719_002632/
FRCMpD_NumericalEval_20260719_002632.csv 879 bytes 1 record with 6 metrics /content/output_20260719_002632/
FRCMpD_NumericalEval_20260719_002632.json 1515 bytes 5 samples /content/output_20260719_002632/
FRCMpD_NumericalEval_20260719_002632_log.txt 917 bytes N/A /content/output_20260719_002632/
SECTION 2 — GLOBAL MODEL PARAMETERS
From Model_C_Full_Prototype_Stage3_Validation_single.py:
text
C_PHYSICAL = 299792458.0
T_CMB = 2.72548
G_CONSTANT = 6.67430e-11
H_PLANCK = 6.62607015e-34
K_BOLTZMANN = 1.380649e-23
H0_CONSTANT = 67.4
C_AXIS = 0.5000
PI_MAX = 5.9259
KAPPA = 0.3000
L_DOMAIN = 25.6
N_BASE = 64
DX_BASE = 0.4
CFL = 0.1
EPS = 1e-15
EPS2 = 1e-10
MU_B = 1.0
LAMBDA_B = 1.0
KAPPA_B = 0.1
LAMBDA_REG_DEFAULT = 0.01
BETA_0 = 0.5
GAMMA_0 = 0.2
ETA_0 = 0.2
M2_0 = 0.1
ALPHA_0 = 0.4
DELTA_0 = 0.15
KO_SIGMA_0 = 0.045
FEEDBACK_STRENGTH = 1.0
MU_SLIP_ANCHOR = 0.45
PI_0_ANCHOR = 1.0
BETA_SCALE_ANCHOR = 1.2
From diagnostics_summary.json:
text
effective_kappa = 0.3
fd_step_size = 1.4901161193847656e-08
tolerance = 1e-06
From FRCMpD_NumericalEval_20260719_002632.json:
text
tolerance = 1e-06
SECTION 3 — IMPLEMENTED EQUATIONS
Energy Functional — evaluate_prototype_psi:
text
Ψ_B = 0.5*I₂ + 0.5*I₁² + 0.025*I₁⁴ + 0.005*||P||²
Where:
I1 = P_xx + P_yy
I2 = P_xx² + P_xy² + P_yx² + P_yy² + EPS
Symbolic Gradients — psi_gradient_symbolic:
text
dΨ/dPxx = I₁ + 0.1*I₁³ + 1.01*P_xx
dΨ/dPxy = 1.01*P_xy
dΨ/dPyx = 1.01*P_yx
dΨ/dPyy = I₁ + 0.1*I₁³ + 1.01*P_yy
Hessian Eigenvalues — compute_hessian_eigenvalues_global:
text
{1.01, 1.01, 1.01, 3.01 + 0.6*I₁²}
Slip Operators — evaluate_constitutive_profile:
text
Phi_raw = grad_S / (grad_Lambda + eps2)
Phi_final = clip(Phi_raw, 0.0, 5.0) [Hard Clipping]
or
Phi_final = 2.5 * (1 + tanh((Phi_raw - 2.5) / alpha)) [Smooth Tanh]
Theta = exp(-0.5 * (Phi_final - 1.0)²)
Omega = mu_slip * Theta * (pi_0 * BETA_SCALE_ANCHOR - 1.0)²
Omega = clip(Omega_raw, 0.0, 1.0)
Evolution Equations — execute_diagnostic_evolution_step:
text
dUxx_dt = c_axis²*lap_Pxx - beta*P_xx - gamma*P_xx³ - kappa*Psi² - eta*P_xx*Lambda² + kappa*P_xx*MT*grad_S² - Omega
dUxy_dt = c_axis²*lap_Pxy - m2*P_xy - 2.0*kappa*P_xx*P_xy - eta*P_xy*Lambda² - kappa*P_xy*MR*grad_Psi²
dUyx_dt = c_axis²*lap_Pyx - m2*P_yx - 2.0*kappa*P_yy*P_yx - eta*P_yx*Lambda² - kappa*P_yx*MR*grad_Psi² + Omega*P_yx + kappa*P_yx*grad_torque
dUyy_dt = c_axis²*lap_Pyy - alpha_coeff*P_yy - delta_coeff*P_yy³ - kappa*P_xx*P_yy - eta*Psi²*P_yy + kappa*P_yy*MC*grad_Lambda²
Laplacian — compute_laplacian:
text
lap[1:-1,1:-1] = (arr[2:,1:-1] + arr[:-2,1:-1] + arr[1:-1,2:] + arr[1:-1,:-2] - 4.0*arr[1:-1,1:-1]) / (dx*dx)
KO Dissipation — compute_ko_dissipation:
text
ko[2:-2,2:-2] += (arr[2:-2,4:] - 4*arr[2:-2,3:-1] + 6*arr[2:-2,2:-2] - 4*arr[2:-2,1:-3] + arr[2:-2,:-4])
ko[2:-2,2:-2] += (arr[4:,2:-2] - 4*arr[3:-1,2:-2] + 6*arr[2:-2,2:-2] - 4*arr[1:-3,2:-2] + arr[:-4,2:-2])
return -ko_sigma * dx * ko / 16.0
Boundary Conditions — apply_boundary_conditions:
text
DIRICHLET:
result[0,:] = 0.0
result[-1,:] = 0.0
result[:,0] = 0.0
result[:, -1] = 0.0
NEUMANN:
result[0,:] = result[1,:]
result[-1,:] = result[-2,:]
result[:,0] = result[:,1]
result[:,-1] = result[:,-2]
PERIODIC:
result[0,:] = result[-2,:]
result[-1,:] = result[1,:]
result[:,0] = result[:,-2]
result[:,-1] = result[:,1]
SECTION 4 — NUMERICAL VERIFICATION RESULTS
From FRCMpD_NumericalEval_20260719_002632.json:
text
timestamp = "2026-07-19T00:26:32.347146"
samples_analyzed = 5
max_l2_error = 4.8981815543907886e-08
gate_passed = true
tolerance = 1e-06
Sample Results — detailed_results:
text
Sample 1:
pt = {"Pxx": 1.0, "Pxy": 0.0, "Pyx": 0.0, "Pyy": 1.0}
l2_error = 3.3717487360873847e-09
Sample 2:
pt = {"Pxx": 1.2483570765056164, "Pxy": -0.06913215058559233, "Pyx": 0.32384426905034625, "Pyy": 1.7615149282040128}
l2_error = 4.8981815543907886e-08
Sample 3:
pt = {"Pxx": 0.882923312638332, "Pxy": -0.11706847847459027, "Pyx": 0.7896064077536957, "Pyy": 1.3837173645764544}
l2_error = 3.864126156229225e-08
Sample 4:
pt = {"Pxx": 0.7652628070325239, "Pxy": 0.27128002179298233, "Pyx": -0.23170884640623113, "Pyy": 0.7671351232148715}
l2_error = 8.200731356891006e-09
Sample 5:
pt = {"Pxx": 1.120981135783017, "Pxy": -0.956640122328899, "Pyx": -0.8624589162565164, "Pyy": 0.7188562353795136}
l2_error = 1.892195426352007e-08
From diagnostics_summary.json — Gradient Gate:
text
gradient_symbolic = [0.7144999999999999, 0.101, -0.101, 0.8155]
gradient_finite_difference = [0.7144999993033707, 0.10100000029937786, -0.10100000029937786, 0.8155000002051775]
l2_error = 8.40621356676388e-10
inf_norm_error = 6.966291987708928e-10
passes_gate = true
test_point = [0.2, 0.1, -0.1, 0.3]
Hessian at Center — gates_at_center:
text
hessian = [
[2.0, 0.0, 0.0, 1.125],
[0.0, 0.5, 0.0, -0.0625],
[0.0, 0.0, 1.0, 0.0],
[1.125, -0.0625, 0.0, 1.75]
]
eigenvalues = [0.4907154319221258, 0.7516682965331842, 1.0, 3.0076162715446904]
svd_rank = 4
is_convex_spd = true
rotation_deviation = 5.551115123125783e-17
is_objective = true
fd_step_size = 1.4901161193847656e-08
max_eigenvalue = 3.0076162715446904
Operator Extremums — ops_stats:
text
grad_torque_max = 0.05208283812633147
Psi_max = 1.543316111481349
Psi_min = 0.04601244674534461
Phi_max = 5.0
Theta_max = 0.9999999947583421
Omega_max = 0.011288945525706444
Galaxy Classification:
text
group_I = 4096
group_II = 0
group_III = 0
Velocity Limits:
text
v_eff_min = 0.5000074256689332
v_eff_max = 0.5221356069994456
Clip Counts:
text
Psi = 0
Omega = 0
Phi = 726
Phi_clipped_count = 726
Clipped Locations (First 20):
text
[24,13], [24,14], [24,50], [24,51],
[25,5], [25,6], [25,7], [25,8], [25,9], [25,10], [25,11], [25,12], [25,13], [25,14], [25,15], [25,16], [25,17], [25,18], [25,19], [25,20]
Sample Update:
text
max_update = 0.9997015221290535
SECTION 5 — COMPLETE STABILITY SWEEP (stability_sweep_20260719_004334.json)
Configuration 1:
text
config = {"kappa": 0.01, "MU_SLIP": 0.01}
kappa = 0.01
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 2:
text
config = {"kappa": 0.01, "MU_SLIP": 0.05}
kappa = 0.01
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 3:
text
config = {"kappa": 0.01, "MU_SLIP": 0.1}
kappa = 0.01
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 4:
text
config = {"kappa": 0.01, "MU_SLIP": 0.3}
kappa = 0.01
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 5:
text
config = {"kappa": 0.01, "MU_SLIP": 0.5}
kappa = 0.01
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 6:
text
config = {"kappa": 0.01, "MU_SLIP": 1.0}
kappa = 0.01
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 7:
text
config = {"kappa": 0.05, "MU_SLIP": 0.01}
kappa = 0.05
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 8:
text
config = {"kappa": 0.05, "MU_SLIP": 0.05}
kappa = 0.05
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 9:
text
config = {"kappa": 0.05, "MU_SLIP": 0.1}
kappa = 0.05
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 10:
text
config = {"kappa": 0.05, "MU_SLIP": 0.3}
kappa = 0.05
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 11:
text
config = {"kappa": 0.05, "MU_SLIP": 0.5}
kappa = 0.05
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 12:
text
config = {"kappa": 0.05, "MU_SLIP": 1.0}
kappa = 0.05
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 13:
text
config = {"kappa": 0.1, "MU_SLIP": 0.01}
kappa = 0.1
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 14:
text
config = {"kappa": 0.1, "MU_SLIP": 0.05}
kappa = 0.1
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 15:
text
config = {"kappa": 0.1, "MU_SLIP": 0.1}
kappa = 0.1
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 16:
text
config = {"kappa": 0.1, "MU_SLIP": 0.3}
kappa = 0.1
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 17:
text
config = {"kappa": 0.1, "MU_SLIP": 0.5}
kappa = 0.1
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 18:
text
config = {"kappa": 0.1, "MU_SLIP": 1.0}
kappa = 0.1
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 19:
text
config = {"kappa": 0.3, "MU_SLIP": 0.01}
kappa = 0.3
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 20:
text
config = {"kappa": 0.3, "MU_SLIP": 0.05}
kappa = 0.3
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 21:
text
config = {"kappa": 0.3, "MU_SLIP": 0.1}
kappa = 0.3
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 22:
text
config = {"kappa": 0.3, "MU_SLIP": 0.3}
kappa = 0.3
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 23:
text
config = {"kappa": 0.3, "MU_SLIP": 0.5}
kappa = 0.3
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 24:
text
config = {"kappa": 0.3, "MU_SLIP": 1.0}
kappa = 0.3
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 25:
text
config = {"kappa": 0.5, "MU_SLIP": 0.01}
kappa = 0.5
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 26:
text
config = {"kappa": 0.5, "MU_SLIP": 0.05}
kappa = 0.5
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 27:
text
config = {"kappa": 0.5, "MU_SLIP": 0.1}
kappa = 0.5
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 28:
text
config = {"kappa": 0.5, "MU_SLIP": 0.3}
kappa = 0.5
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 29:
text
config = {"kappa": 0.5, "MU_SLIP": 0.5}
kappa = 0.5
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 30:
text
config = {"kappa": 0.5, "MU_SLIP": 1.0}
kappa = 0.5
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 31:
text
config = {"kappa": 1.0, "MU_SLIP": 0.01}
kappa = 1.0
MU_SLIP = 0.01
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 32:
text
config = {"kappa": 1.0, "MU_SLIP": 0.05}
kappa = 1.0
MU_SLIP = 0.05
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 33:
text
config = {"kappa": 1.0, "MU_SLIP": 0.1}
kappa = 1.0
MU_SLIP = 0.1
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 34:
text
config = {"kappa": 1.0, "MU_SLIP": 0.3}
kappa = 1.0
MU_SLIP = 0.3
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 35:
text
config = {"kappa": 1.0, "MU_SLIP": 0.5}
kappa = 1.0
MU_SLIP = 0.5
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
Configuration 36:
text
config = {"kappa": 1.0, "MU_SLIP": 1.0}
kappa = 1.0
MU_SLIP = 1.0
CFL = 0.1
lambda_reg = 0.01
stable = true
max_update = 0.0241180002835882
min_eigenvalue = 1.01
max_eigenvalue = 3.1348816804171435
clip_count = 1010
n_steps = 5
SECTION 6 — COMPLETE PHI REGULARIZATION SWEEP
No stored data found for Phi regularization sweep in loaded files.
(Data may be in unstaged files or not generated in this session.)
SECTION 7 — FAILURE DATA
From failure_summary.txt:
text
FAILURE SUMMARY:
kappa: {'LOSS_OF_POSITIVITY': 20, 'GRADIENT_EXPLOSION': 20, 'NORM_EXPLOSION': 20}
beta: {'LOSS_OF_POSITIVITY': 15, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
gamma: {'LOSS_OF_POSITIVITY': 12, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
alpha: {'LOSS_OF_POSITIVITY': 20, 'GRADIENT_EXPLOSION': 20, 'NORM_EXPLOSION': 20}
eps: {'LOSS_OF_POSITIVITY': 16, 'GRADIENT_EXPLOSION': 16, 'NORM_EXPLOSION': 16}
ko_sigma: {'LOSS_OF_POSITIVITY': 16, 'GRADIENT_EXPLOSION': 16, 'NORM_EXPLOSION': 16}
mu_clutch: {'LOSS_OF_POSITIVITY': 16, 'GRADIENT_EXPLOSION': 16, 'NORM_EXPLOSION': 16}
h0: {'LOSS_OF_POSITIVITY': 14, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
nu: {'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15, 'LOSS_OF_POSITIVITY': 13}
delta: {'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15, 'LOSS_OF_POSITIVITY': 11}
pi0: {'LOSS_OF_POSITIVITY': 15, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
beta_scale: {'LOSS_OF_POSITIVITY': 15, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
amplitude: {'GRADIENT_EXPLOSION': 20, 'NORM_EXPLOSION': 20, 'LOSS_OF_POSITIVITY': 15}
delta_spike: {'NUMERICAL_FAILURE': 15, 'OPERATOR_EXCEPTION': 1}
noise_level: {'LOSS_OF_POSITIVITY': 15, 'GRADIENT_EXPLOSION': 15, 'NORM_EXPLOSION': 15}
Breaking Points — failure_summary.txt:
text
kappa: 1.0000e-04 (LOSS_OF_POSITIVITY)
beta: 1.0000e-02 (LOSS_OF_POSITIVITY)
gamma: 1.0000e-02 (LOSS_OF_POSITIVITY)
alpha: 1.0000e-02 (LOSS_OF_POSITIVITY)
eps: 1.0000e-20 (LOSS_OF_POSITIVITY)
ko_sigma: 1.0000e-03 (LOSS_OF_POSITIVITY)
mu_clutch: 1.0000e-02 (LOSS_OF_POSITIVITY)
h0: 1.0000e+00 (LOSS_OF_POSITIVITY)
nu: 1.0000e-02 (GRADIENT_EXPLOSION)
delta: 1.0000e-02 (GRADIENT_EXPLOSION)
pi0: 1.0000e-02 (LOSS_OF_POSITIVITY)
beta_scale: 1.0000e-02 (LOSS_OF_POSITIVITY)
amplitude: 1.0000e-03 (GRADIENT_EXPLOSION)
noise_level: 1.0000e-06 (LOSS_OF_POSITIVITY)
From failure_atlas.json — First Failure (kappa = 0.0001):
text
value = 0.0001
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810327.711129
final_energy = 3.7858684015517414e+17
final_norm = 615294108.6628201
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986173.12451951
initial_min = -75.12883001780638
delta_drift = -119986097.9956895
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.60860119
initial_variance = 207.19954723309195
ratio = 165529.19669277882
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294108.6628201
initial_norm = 4430.916858203044
ratio = 138863.83526328506
First Failure (beta = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810233.813561
final_energy = 3.7858683072766195e+17
final_norm = 615294101.0018395
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986194.90847939
initial_min = -75.12845676284145
delta_drift = -119986119.78002264
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.30548201
initial_variance = 207.1995460719029
ratio = 165529.196157505
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294101.0018395
initial_norm = 4430.916856833859
ratio = 138863.83357721183
First Failure (gamma = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7452792885.159505
final_energy = 3.697020670299418e+17
final_norm = 608031304.317419
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -129417737.02131754
initial_min = -75.12845676284145
delta_drift = -129417661.89286079
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 33969099.32739035
initial_variance = 207.1995460719029
ratio = 163943.88873613803
type = "NORM_EXPLOSION"
step = 1
current_norm = 608031304.317419
initial_norm = 4430.916856833859
ratio = 137224.71532717763
First Failure (alpha = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541809135.3850355
final_energy = 3.785867204495349e+17
final_norm = 615294011.3876739
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119985525.7824724
initial_min = -75.12845676284145
delta_drift = -119985450.65401565
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297569.195737004
initial_variance = 207.1995465155609
ratio = 165529.17114208656
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294011.3876739
initial_norm = 4430.916863472231
ratio = 138863.81314442144
First Failure (eps = 1e-20):
text
value = 1e-20
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810353.497409
final_energy = 3.7858684274401594e+17
final_norm = 615294110.7665633
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986185.14384644
initial_min = -75.128456762843
delta_drift = -119986110.01538968
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.73018928
initial_variance = 207.19954607190243
ratio = 165529.19820725537
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294110.7665633
initial_norm = 4430.916856833848
ratio = 138863.83578098266
First Failure (ko_sigma = 0.001):
text
value = 0.001
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7539055378.435916
final_energy = 3.7831029236590957e+17
final_norm = 615069339.4780052
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -120221107.23081487
initial_min = -1.6655052913019472
delta_drift = -120221105.56530958
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34287508.2731048
initial_variance = 207.0891902988329
ratio = 165568.79779010869
type = "NORM_EXPLOSION"
step = 1
current_norm = 615069339.4780052
initial_norm = 4429.265634726145
ratio = 138864.85711215058
First Failure (mu_clutch = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810353.497493
final_energy = 3.7858684274402426e+17
final_norm = 615294110.7665702
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986185.14384805
initial_min = -75.12845676284145
delta_drift = -119986110.01539129
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.73018966
initial_variance = 207.1995460719029
ratio = 165529.19820725685
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294110.7665702
initial_norm = 4430.916856833859
ratio = 138863.83578098388
First Failure (h0 = 1.0):
text
value = 1.0
status = "NUMERICAL_FAILURE"
step_at_failure = 2
final_residual = 1.052136678050822e+16
final_energy = 7.368136018444432e+29
final_norm = 858378472379429.6
failures:
type = "LOSS_OF_POSITIVITY"
step = 2
current_min = -288199064952405.2
initial_min = -75.12845676284319
delta_drift = -288199064952330.06
type = "GRADIENT_EXPLOSION"
step = 2
current_variance = 47934401026897.234
initial_variance = 6.818527248581257
ratio = 7030022654360.005
type = "NORM_EXPLOSION"
step = 2
current_norm = 858378472379429.6
initial_norm = 121.97526232178197
ratio = 7037316059341.182
First Failure (nu = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 1349434197.423272
final_energy = 1.2121255397485984e+16
final_norm = 110096573.05059946
failures:
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 5578840.030658986
initial_variance = 207.19954607191423
ratio = 26924.962609342292
type = "NORM_EXPLOSION"
step = 1
current_norm = 110096573.05059946
initial_norm = 4430.916856834034
ratio = 24847.357016142556
First Failure (delta = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 465787.49426661455
final_energy = 1462686612.597511
final_norm = 38245.08612354678
failures:
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 1818.1352731110544
initial_variance = 15.409916508040176
ratio = 117.98475820180052
type = "NORM_EXPLOSION"
step = 1
current_norm = 38245.08612354678
initial_norm = 319.36194645311804
ratio = 119.75467505851113
First Failure (pi0 = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810353.497472
final_energy = 3.785868427440223e+17
final_norm = 615294110.7665685
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986185.14384802
initial_min = -75.12845676284145
delta_drift = -119986110.01539126
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.73018956
initial_variance = 207.1995460719028
ratio = 165529.19820725644
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294110.7665685
initial_norm = 4430.916856833857
ratio = 138863.83578098356
First Failure (beta_scale = 0.01):
text
value = 0.01
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7541810353.497493
final_energy = 3.7858684274402426e+17
final_norm = 615294110.7665702
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -119986185.14384805
initial_min = -75.12845676284145
delta_drift = -119986110.01539129
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34297574.73018966
initial_variance = 207.1995460719029
ratio = 165529.19820725685
type = "NORM_EXPLOSION"
step = 1
current_norm = 615294110.7665702
initial_norm = 4430.916856833859
ratio = 138863.83578098388
First Failure (amplitude = 0.001):
text
value = 0.001
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 168123.72147530428
final_energy = 188375290.2558501
final_norm = 13724.987805307883
failures:
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 640.440588638487
initial_variance = 0.9540436934630508
ratio = 671.2906264426668
type = "NORM_EXPLOSION"
step = 1
current_norm = 13724.987805307883
initial_norm = 17.577048753006405
ratio = 780.8471147899809
First Failure (noise_level = 1e-06):
text
value = 1e-06
status = "NUMERICAL_FAILURE"
step_at_failure = 1
final_residual = 7507166757.271943
final_energy = 3.751165868984709e+17
final_norm = 612467621.1021044
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -122930064.98906524
initial_min = -1.2253778531527761
delta_drift = -122930063.76368739
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 34169679.18010644
initial_variance = 207.08906691896007
ratio = 164999.91857840578
type = "NORM_EXPLOSION"
step = 1
current_norm = 612467621.1021044
initial_norm = 4429.264018366295
ratio = 138277.5148562964
Delta Spike Failures (first two):
text
value = 1.0
status = "NUMERICAL_FAILURE"
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -51349803058.58599
initial_min = -742.4191530798437
delta_drift = -51349802316.16684
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 5280505931.799947
initial_variance = 243.42825969686947
ratio = 21692246.98223423
type = "NORM_EXPLOSION"
step = 1
current_norm = 94483522108.4913
initial_norm = 5042.781439589468
ratio = 18736390.47029236
step_at_failure = 1
text
value = 3.4145488738336014
status = "NUMERICAL_FAILURE"
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -58430568945917.97
initial_min = -2441.837944971049
delta_drift = -58430568943476.13
type = "GRADIENT_EXPLOSION"
step = 1
current_variance = 5065536817159.63
initial_variance = 489.6503484139563
ratio = 10345212320.521345
type = "NORM_EXPLOSION"
step = 1
current_norm = 90617600585885.08
initial_norm = 9206.713527866339
ratio = 9842556772.469248
step_at_failure = 1
Operator Terms Failures:
text
full_operator:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
current_min = -119986185.14384805
initial_min = -75.12845676284145
delta_drift = -119986110.01539129
type = "GRADIENT_EXPLOSION"
current_variance = 34297574.73018966
initial_variance = 207.1995460719029
ratio = 165529.19820725685
type = "NORM_EXPLOSION"
current_norm = 615294110.7665702
initial_norm = 4430.916856833859
ratio = 138863.83578098388
base_only:
status = "NUMERICAL_FAILURE"
step_at_failure = 2
failures:
type = "LOSS_OF_POSITIVITY"
step = 2
current_min = -1.6998718446136816
initial_min = -1.6998548304684815
delta_drift = -1.7014145200056063e-05
nonlinear_only:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -1.700013686193439
initial_min = -1.699929184852493
delta_drift = -8.450134094606376e-05
adaptive_only:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
step = 1
current_min = -129936402.55346632
initial_min = -1.1999999999998452
delta_drift = -129936401.35346632
type = "GRADIENT_EXPLOSION"
current_variance = 33958677.632633105
initial_variance = 207.08915445858645
ratio = 163980.95651804953
type = "NORM_EXPLOSION"
current_norm = 607798884.7268118
initial_norm = 4429.264948023863
ratio = 137223.420106757
ko_only:
status = "SUCCESS"
failures = []
no_base:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
current_min = -119986052.24227844
initial_min = -75.13256393651353
delta_drift = -119985977.10971451
type = "GRADIENT_EXPLOSION"
current_variance = 34297573.16158794
initial_variance = 207.19955885314977
ratio = 165529.180425987
type = "NORM_EXPLOSION"
current_norm = 615294083.5341064
initial_norm = 4430.9168719584095
ratio = 138863.8291609732
no_nonlinear:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
current_min = -129917393.75457068
initial_min = -75.12845683130978
delta_drift = -129917318.62611385
type = "GRADIENT_EXPLOSION"
current_variance = 33958504.04428426
initial_variance = 207.19955100393236
ratio = 163892.74918669963
type = "NORM_EXPLOSION"
current_norm = 607796484.9465438
initial_norm = 4430.916956347566
ratio = 137171.7165847212
no_adaptive:
status = "NUMERICAL_FAILURE"
step_at_failure = 3
failures:
type = "GRADIENT_EXPLOSION"
step = 3
current_variance = 1200163475.559397
initial_variance = 6.8185272426500925
ratio = 176015059.09550944
type = "NORM_EXPLOSION"
step = 3
current_norm = 21532678129.122097
initial_norm = 121.97526235875117
ratio = 176533156.91005132
no_ko:
status = "NUMERICAL_FAILURE"
step_at_failure = 1
failures:
type = "LOSS_OF_POSITIVITY"
current_min = -129684665.14003578
initial_min = -1.1995892757858055
delta_drift = -129684663.9404465
type = "GRADIENT_EXPLOSION"
current_variance = 33963941.29994748
initial_variance = 207.08913755971432
ratio = 164006.3872985803
type = "NORM_EXPLOSION"
current_norm = 607915504.3127761
initial_norm = 4429.264845668864
ratio = 137249.75261012523
SECTION 8 — TELEMETRY
From diagnostics_summary.json — Dual Run Comparison:
text
tensor_fro = 0.005404279375736931
tensor_l2 = 0.005404279375736931
Psi_Frobenius_delta = 0.0
Psi_L2_delta = 0.0
Phi_Frobenius_delta = 20.217946610700373
Phi_raw_max_delta = 0.0
overlap_count = 106
near_overlap_count = 310
time_ms_A = 12.871419
time_ms_B = 14.319377
time_delta_ms = 1.447958
c_char_A = 0.728216647347058
c_char_B = 0.728216647347058
delta_c_char = 0.0
cfl_margin_A = 0.14564332946941164
cfl_margin_B = 0.14564332946941164
delta_cfl_margin = 0.0
Overlap Indices Preview:
text
[16,32], [29,0], [29,1], [29,2], [29,3], [29,4], [29,5], [29,6], [29,7], [29,8],
[29,9], [29,10], [29,11], [29,12], [29,13], [29,14], [29,15], [29,16], [29,17], [29,18]
SECTION 9 — OUTPUT FILE METADATA
Filename Timestamp File Size Record Count Associated Experiment
diagnostics_summary.json 20260718_232600 5684 bytes N/A Stage 3 Validation
failure_atlas.json 2026-07-18T23:31:44.893941 249464 bytes Multiple failure records Failure Atlas Generation
failure_atlas.pkl 2026-07-18T23:31:44.893941 60462 bytes Pickle format Failure Atlas Generation
failure_summary.txt 2026-07-18T23:31:44.893941 2244 bytes 15 parameter summaries Failure Atlas Summary
FRCMpD_NumericalEval_20260719_002632.json 2026-07-19T00:26:32.347146 1515 bytes 5 samples Gradient Gate Diagnostics
stability_sweep_20260719_004334.json 20260719_004334 13874 bytes 36 configs Stability Sweep (µ_slip, κ)
stability_sweep_20260719_004932.json 20260719_004932 13784 bytes 36 configs Stability Sweep (µ_slip, κ)
Model_C_Full_Prototype_Stage3_Validation_single.py 20260718 49506 bytes N/A Main Validation Script
Conclusions_and_Operational_Envelope_Report.md 20260719 2186 bytes N/A Operational Report
model_b_export_*.json Various (20260718) 1283 bytes each N/A Model B Exports
END OF EXTRACTION — ALL LOADED DATA REPRODUCED
